2603:7000:B500:5D4:39F7:B4A1:8DAC:6BD0

Repeating decimals part I (vinculum mode)

11.18868099173553719008264462 10.069812892561983471074380165 6.713208595041322314049586776 4.475472396694214876033057851 4.0279251570247933884297520661

11.18868095930232558139534883720 10.069812863372093023255813953488 6.71320857558139534883720930232 4.4754723837209302325581395348 4.02792514534883720930232558139

Repeating decimals part II (vinculum mode)

111.8868099173553719008264462 100.69812892561983471074380165 67.13208595041322314049586776 44.75472396694214876033057851 40.279251570247933884297520661

111.8868095930232558139534883720 100.69812863372093023255813953488 67.1320857558139534883720930232 44.754723837209302325581395348 40.2792514534883720930232558139

Repeating decimals part I (dot mode)

11.1886.809917355371900826446.2 10.06981.289256198347107438016.5 6.71320.859504132231404958677.6 4.47547.239669421487603305785.1 4.027925.157024793388429752066.1

11.18868095.93023255813953488372.0 10.069812863.37209302325581395348.8 6.71320857.55813953488372093023.2 4.4754723.83720930232558139534.8 4.02792514.53488372093023255813.9

Repeating decimals part II (dot mode)

111.886.809917355371900826446.2 100.6981.289256198347107438016.5 67.1320.859504132231404958677.6 44.7547.239669421487603305785.1 40.27925.157024793388429752066.1

111.8868095.93023255813953488372.0 100.69812863.37209302325581395348.8 67.1320857.55813953488372093023.2 44.754723.83720930232558139534.8 40.2792514.53488372093023255813.9

Live Japan-United States Meeting/Tour

Table containing information focusing on the Live Japan-United States Meeting/Tour

Meeting/tour	Description	Inauguration date (date of first live event held)	Monthly live event count	Annual live event count	Annual phase count	Age status (Japanese-American stars/personalities)
Live Japan-United States Meeting/Tour	Licensed famous Japanese-American live meeting/tour containing multiple live events featuring Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as Japanese-American stars/personalities on Wednesdays and weekends everywhere in multiple American and Japanese cities or urban areas	April 13, 2022 (2022-04-13)	12 to 14 live events every month starting in May 2022	156 or 157 live events every year starting in May 2022	Two phases per year (one containing 55 live events and the other containing 101 or 102 live events)	Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal getting older in later live events

Table focusing on live events and phases

Phase	Release date	Live event count	Date (first live event held)	Date (final live event held)	Duration	Status
Phase #1 (Live Japan-United States Meeting/Tour)	April 13, 2022 (2022-04-13)	55 live Wednesday and weekend events (live events #1-55)	April 13, 2022 (2022-04-13)	August 17, 2022 (2022-08-17)	About four months	Featuring Shadow at age 37, Silver at age 35, Mighty at age 37, Sonic at age 36, Ray at age 30, Tails at age 29, Knuckles at age 36, Amy at age 32, Tangle at age 35, Rouge at age 38, Blaze at age 35, Sally at age 36, Marine at age 28, Mina at age 37 and Tikal at age 35
Phase #2 (Live Japan-United States Meeting/Tour)	August 20, 2022 (2022-08-20)	101 live Wednesday and weekend events (live events #56-156)	August 20, 2022 (2022-08-20)	April 9, 2023 (2023-04-09)	Nearly eight months
Phase #3 (Live Japan-United States Meeting/Tour)	April 12, 2023 (2023-04-12)	55 live Wednesday and weekend events (live events #157-211)	April 12, 2023 (2023-04-12)	August 16, 2023 (2023-08-16)	About four months	Featuring Shadow at age 38, Silver at age 36, Mighty at age 38, Sonic at age 37, Ray at age 31, Tails at age 30, Knuckles at age 37, Amy at age 33, Tangle at age 36, Rouge at age 39, Blaze at age 36, Sally at age 37, Marine at age 29, Mina at age 38 and Tikal at age 36
Phase #4 (Live Japan-United States Meeting/Tour)	August 19, 2023 (2023-08-19)	104 live Wednesday and weekend events (live events #212-315)	August 19, 2023 (2023-08-19)	April 14, 2024 (2024-04-14)	Nearly eight months
Phase #5 (Live Japan-United States Meeting/Tour)	April 17, 2024 (2024-04-17)	55 live Wednesday and weekend events (live events #316-370)	April 17, 2024 (2024-04-17)	August 21, 2024 (2024-08-21)	About four months	Featuring or scheduled to feature Shadow at age 39, Silver at age 37, Mighty at age 39, Sonic at age 38, Ray at age 32, Tails at age 31, Knuckles at age 38, Amy at age 34, Tangle at age 37, Rouge at age 40, Blaze at age 37, Sally at age 38, Marine at age 30, Mina at age 39 and Tikal at age 37
Phase #6 (Live Japan-United States Meeting/Tour)	August 24, 2024 (2024-08-24)	101 live Wednesday and weekend events (live events #371-471)	August 24, 2024 (2024-08-24)	April 13, 2025 (2025-04-13)	Nearly eight months	Scheduled to feature Shadow at age 39, Silver at age 37, Mighty at age 39, Sonic at age 38, Ray at age 32, Tails at age 31, Knuckles at age 38, Amy at age 34, Tangle at age 37, Rouge at age 40, Blaze at age 37, Sally at age 38, Marine at age 30, Mina at age 39 and Tikal at age 37
Phase #7 (Live Japan-United States Meeting/Tour)	April 16, 2025 (2025-04-16)	55 live Wednesday and weekend events (live events #472-526)	April 16, 2025 (2025-04-16)	August 20, 2025 (2025-08-20)	About four months	Scheduled to feature Shadow at age 40, Silver at age 38, Mighty at age 40, Sonic at age 39, Ray at age 33, Tails at age 32, Knuckles at age 39, Amy at age 35, Tangle at age 38, Rouge at age 41, Blaze at age 38, Sally at age 39, Marine at age 31, Mina at age 40 and Tikal at age 38
Phase #8 (Live Japan-United States Meeting/Tour)	August 23, 2025 (2025-08-23)	101 live Wednesday and weekend events (live events #527-627)	August 23, 2025 (2025-08-23)	April 12, 2026 (2026-04-12)	Nearly eight months
Phase #9 (Live Japan-United States Meeting/Tour)	April 15, 2026 (2026-04-15)	55 live Wednesday and weekend events (live events #628-682)	April 15, 2026 (2026-04-15)	August 19, 2026 (2026-08-19)	About four months	Scheduled to feature Shadow at age 41, Silver at age 39, Mighty at age 41, Sonic at age 40, Ray at age 34, Tails at age 33, Knuckles at age 40, Amy at age 36, Tangle at age 39, Rouge at age 42, Blaze at age 39, Sally at age 40, Marine at age 32, Mina at age 41 and Tikal at age 39
Phase #10 (Live Japan-United States Meeting/Tour)	August 22, 2026 (2026-08-22)	101 live Wednesday and weekend events (live events #683-783)	August 22, 2026 (2026-08-22)	April 11, 2027 (2027-04-11)	Nearly eight months
Phase #11 (Live Japan-United States Meeting/Tour)	April 14, 2027 (2027-04-14)	55 live Wednesday and weekend events (live events #784-838)	April 14, 2027 (2027-04-14)	August 18, 2027 (2027-08-18)	About four months	Scheduled to feature Shadow at age 42, Silver at age 40, Mighty at age 42, Sonic at age 41, Ray at age 35, Tails at age 34, Knuckles at age 41, Amy at age 37, Tangle at age 40, Rouge at age 43, Blaze at age 40, Sally at age 41, Marine at age 33, Mina at age 42 and Tikal at age 40
Phase #12 (Live Japan-United States Meeting/Tour)	August 21, 2027 (2027-08-21)	101 live Wednesday and weekend events (live events #839-939)	August 21, 2027 (2027-08-21)	April 9, 2028 (2028-04-09)	Nearly eight months
Phase #13 (Live Japan-United States Meeting/Tour)	April 12, 2028 (2028-04-12)	55 live Wednesday and weekend events (live events #940-994)	April 12, 2028 (2028-04-12)	August 16, 2028 (2028-08-16)	About four months	Scheduled to feature Shadow at age 43, Silver at age 41, Mighty at age 43, Sonic at age 42, Ray at age 35, Tails at age 34, Knuckles at age 42, Amy at age 38, Tangle at age 41, Rouge at age 44, Blaze at age 41, Sally at age 42, Marine at age 34, Mina at age 43 and Tikal at age 41
Phase #14 (Live Japan-United States Meeting/Tour)	August 19, 2028 (2028-08-19)	101 live Wednesday and weekend events (live events #995-1,095)	August 19, 2028 (2028-08-19)	April 8, 2029 (2029-04-08)	Nearly eight months
Phase #15 (Live Japan-United States Meeting/Tour)	April 11, 2029 (2029-04-11)	55 live Wednesday and weekend events (live events #1,096-1,150)	April 11, 2029 (2029-04-11)	August 15, 2029 (2029-08-15)	About four months	Scheduled to feature Shadow at age 44, Silver at age 42, Mighty at age 44, Sonic at age 43, Ray at age 37, Tails at age 36, Knuckles at age 43, Amy at age 39, Tangle at age 42, Rouge at age 45, Blaze at age 42, Sally at age 43, Marine at age 35, Mina at age 44 and Tikal at age 42
Phase #16 (Live Japan-United States Meeting/Tour)	August 18, 2029 (2029-08-18)	104 live Wednesday and weekend events (live events #1,151-1,254)	August 18, 2029 (2029-08-18)	April 14, 2030 (2030-04-14)	Nearly eight months
Phase #17 (Live Japan-United States Meeting/Tour)	April 17, 2030 (2030-04-17)	55 live Wednesday and weekend events (live events #1,255-1,309)	April 17, 2030 (2030-04-17)	August 21, 2030 (2030-08-21)	About four months	Scheduled to feature Shadow at age 45, Silver at age 43, Mighty at age 45, Sonic at age 44, Ray at age 38, Tails at age 37, Knuckles at age 44, Amy at age 40, Tangle at age 43, Rouge at age 46, Blaze at age 43, Sally at age 44, Marine at age 36, Mina at age 45 and Tikal at age 43
Phase #18 (Live Japan-United States Meeting/Tour)	August 24, 2030 (2030-08-24)	101 live Wednesday and weekend events (live events #1,310-1,410)	August 24, 2030 (2030-08-24)	April 13, 2031 (2031-04-13)	Nearly eight months
Phase #19 (Live Japan-United States Meeting/Tour)	April 16, 2031 (2031-04-16)	55 live Wednesday and weekend events (live events #1,411-1,465)	April 16, 2031 (2031-04-16)	August 20, 2031 (2031-08-20)	About four months	Scheduled to feature Shadow at age 46, Silver at age 44, Mighty at age 46, Sonic at age 45, Ray at age 39, Tails at age 38, Knuckles at age 45, Amy at age 41, Tangle at age 44, Rouge at age 47, Blaze at age 44, Sally at age 45, Marine at age 37, Mina at age 46 and Tikal at age 44
Phase #20 (Live Japan-United States Meeting/Tour)	August 23, 2031 (2031-08-23)	101 live Wednesday and weekend events (live events #1,466-1,566)	August 23, 2031 (2031-08-23)	April 11, 2032 (2032-04-11)	Nearly eight months
Phase #21 (Live Japan-United States Meeting/Tour)	April 14, 2032 (2032-04-14)	55 live Wednesday and weekend events (live events #1,567-1,621)	April 14, 2032 (2032-04-14)	August 18, 2032 (2032-08-18)	About four months	Scheduled to feature Shadow at age 47, Silver at age 45, Mighty at age 47, Sonic at age 46, Ray at age 40, Tails at age 39, Knuckles at age 46, Amy at age 42, Tangle at age 45, Rouge at age 48, Blaze at age 45, Sally at age 46, Marine at age 38, Mina at age 47 and Tikal at age 45
Phase #22 (Live Japan-United States Meeting/Tour)	August 21, 2032 (2032-08-21)	101 live Wednesday and weekend events (live events #1,622-1,722)	August 21, 2032 (2032-08-21)	April 10, 2033 (2033-04-10)	Nearly eight months
Phase #23 (Live Japan-United States Meeting/Tour)	April 13, 2033 (2033-04-13)	55 live Wednesday and weekend events (live events #1,723-1,777)	April 13, 2033 (2033-04-13)	August 17, 2033 (2033-08-17)	About four months	Scheduled to feature Shadow at age 48, Silver at age 46, Mighty at age 48, Sonic at age 47, Ray at age 41, Tails at age 40, Knuckles at age 47, Amy at age 43, Tangle at age 46, Rouge at age 49, Blaze at age 46, Sally at age 47, Marine at age 39, Mina at age 48 and Tikal at age 46
Phase #24 (Live Japan-United States Meeting/Tour)	August 20, 2033 (2033-08-20)	101 live Wednesday and weekend events (live events #1,778-1,878)	August 20, 2033 (2033-08-20)	April 9, 2034 (2034-04-09)	Nearly eight months
Phase #25 (Live Japan-United States Meeting/Tour)	April 12, 2034 (2034-04-12)	55 live Wednesday and weekend events (live events #1,879-1,933)	April 12, 2034 (2034-04-12)	August 16, 2034 (2034-08-16)	About four months	Scheduled to feature Shadow at age 49, Silver at age 47, Mighty at age 49, Sonic at age 48, Ray at age 42, Tails at age 41, Knuckles at age 48, Amy at age 44, Tangle at age 47, Rouge at age 50, Blaze at age 47, Sally at age 48, Marine at age 40, Mina at age 49 and Tikal at age 47
Phase #26 (Live Japan-United States Meeting/Tour)	August 19, 2034 (2034-08-19)	101 live Wednesday and weekend events (live events #1,934-2,034)	August 19, 2034 (2034-08-19)	April 8, 2035 (2035-04-08)	Nearly eight months
Phase #27 (Live Japan-United States Meeting/Tour)	April 11, 2035 (2035-04-11)	55 live Wednesday and weekend events (live events #2,035-2,089)	April 11, 2035 (2035-04-11)	August 15, 2035 (2035-08-15)	About four months	Scheduled to feature Shadow at age 50, Silver at age 48, Mighty at age 50, Sonic at age 49, Ray at age 43, Tails at age 42, Knuckles at age 49, Amy at age 45, Tangle at age 48, Rouge at age 51, Blaze at age 48, Sally at age 49, Marine at age 41, Mina at age 50 and Tikal at age 48
Phase #28 (Live Japan-United States Meeting/Tour)	August 18, 2035 (2035-08-18)	104 live Wednesday and weekend events (live events #2,090-2,193)	August 18, 2035 (2035-08-18)	April 13, 2036 (2036-04-13)	Nearly eight months
Phase #29 (Live Japan-United States Meeting/Tour)	April 16, 2036 (2036-04-16)	55 live Wednesday and weekend events (live events #2,194-2,248)	April 16, 2036 (2036-04-16)	August 20, 2036 (2036-08-20)	About four months	Scheduled to feature Shadow at age 51, Silver at age 49, Mighty at age 51, Sonic at age 50, Ray at age 44, Tails at age 43, Knuckles at age 50, Amy at age 46, Tangle at age 49, Rouge at age 52, Blaze at age 49, Sally at age 50, Marine at age 42, Mina at age 51 and Tikal at age 49
Phase #30 (Live Japan-United States Meeting/Tour)	August 23, 2036 (2036-08-23)	101 live Wednesday and weekend events (live events #2,249-2,349)	August 23, 2036 (2036-08-23)	April 12, 2037 (2037-04-12)	Nearly eight months
Phase #31 (Live Japan-United States Meeting/Tour)	April 15, 2037 (2037-04-15)	55 live Wednesday and weekend events (live events #2,350-2,404)	April 15, 2037 (2037-04-15)	August 19, 2037 (2037-08-19)	About four months	Scheduled to feature Shadow at age 52, Silver at age 50, Mighty at age 52, Sonic at age 51, Ray at age 45, Tails at age 44, Knuckles at age 51, Amy at age 47, Tangle at age 50, Rouge at age 53, Blaze at age 50, Sally at age 51, Marine at age 43, Mina at age 52 and Tikal at age 50
Phase #32 (Live Japan-United States Meeting/Tour)	August 22, 2037 (2037-08-22)	101 live Wednesday and weekend events (live events #2,405-2,505)	August 22, 2037 (2037-08-22)	April 11, 2038 (2038-04-11)	Nearly eight months
Phase #33 (Live Japan-United States Meeting/Tour)	April 14, 2038 (2038-04-14)	55 live Wednesday and weekend events (live events #2,506-2,560)	April 14, 2038 (2038-04-14)	August 18, 2038 (2038-08-18)	About four months	Scheduled to feature Shadow at age 53, Silver at age 51, Mighty at age 53, Sonic at age 52, Ray at age 46, Tails at age 45, Knuckles at age 52, Amy at age 48, Tangle at age 51, Rouge at age 54, Blaze at age 51, Sally at age 52, Marine at age 44, Mina at age 53 and Tikal at age 51
Phase #34 (Live Japan-United States Meeting/Tour)	August 21, 2038 (2038-08-21)	101 live Wednesday and weekend events (live events #2,561-2,661)	August 21, 2038 (2038-08-21)	April 10, 2039 (2039-04-10)	Nearly eight months
Phase #35 (Live Japan-United States Meeting/Tour)	April 13, 2039 (2039-04-13)	55 live Wednesday and weekend events (live events #2,662-2,716)	April 13, 2039 (2039-04-13)	August 17, 2039 (2039-08-17)	About four months	Scheduled to feature Shadow at age 54, Silver at age 52, Mighty at age 54, Sonic at age 53, Ray at age 47, Tails at age 46, Knuckles at age 53, Amy at age 49, Tangle at age 52, Rouge at age 55, Blaze at age 52, Sally at age 53, Marine at age 45, Mina at age 54 and Tikal at age 52
Phase #36 (Live Japan-United States Meeting/Tour)	August 20, 2039 (2039-08-20)	101 live Wednesday and weekend events (live events #2,717-2,817)	August 20, 2039 (2039-08-20)	April 8, 2040 (2040-04-08)	Nearly eight months
Phase #37 (Live Japan-United States Meeting/Tour)	April 11, 2040 (2040-04-11)	55 live Wednesday and weekend events (live events #2,818-2,872)	April 11, 2040 (2040-04-11)	August 15, 2040 (2040-08-15)	About four months	Scheduled to feature Shadow at age 55, Silver at age 53, Mighty at age 55, Sonic at age 54, Ray at age 48, Tails at age 47, Knuckles at age 54, Amy at age 50, Tangle at age 53, Rouge at age 56, Blaze at age 53, Sally at age 54, Marine at age 46, Mina at age 55 and Tikal at age 53
Phase #38 (Live Japan-United States Meeting/Tour)	August 18, 2040 (2040-08-18)	104 live Wednesday and weekend events (live events #2,873-2,976)	August 18, 2040 (2040-08-18)	April 14, 2041 (2041-04-14)	Nearly eight months
Phase #39 (Live Japan-United States Meeting/Tour)	April 17, 2041 (2041-04-17)	55 live Wednesday and weekend events (live events #2,977-3,031)	April 17, 2041 (2041-04-17)	August 21, 2041 (2041-08-21)	About four months	Scheduled to feature Shadow at age 56, Silver at age 54, Mighty at age 56, Sonic at age 55, Ray at age 49, Tails at age 48, Knuckles at age 55, Amy at age 51, Tangle at age 54, Rouge at age 57, Blaze at age 54, Sally at age 55, Marine at age 47, Mina at age 56 and Tikal at age 54
Phase #40 (Live Japan-United States Meeting/Tour)	August 24, 2041 (2041-08-24)	104 live Wednesday and weekend events (live events #3,032-3,132)	August 24, 2041 (2041-08-24)	April 13, 2042 (2042-04-13)	Nearly eight months
Phase #41 (Live Japan-United States Meeting/Tour)	April 16, 2042 (2042-04-16)	55 live Wednesday and weekend events (live events #3,133-3,187)	April 16, 2042 (2042-04-16)	August 20, 2042 (2042-08-20)	About four months	Scheduled to feature Shadow at age 57, Silver at age 55, Mighty at age 57, Sonic at age 56, Ray at age 50, Tails at age 49, Knuckles at age 56, Amy at age 52, Tangle at age 55, Rouge at age 58, Blaze at age 55, Sally at age 56, Marine at age 48, Mina at age 57 and Tikal at age 55
Phase #42 (Live Japan-United States Meeting/Tour)	August 23, 2042 (2042-08-23)	101 live Wednesday and weekend events (live events #3,188-3,288)	August 23, 2042 (2042-08-23)	April 12, 2043 (2043-04-12)	Nearly eight months
Phase #43 (Live Japan-United States Meeting/Tour)	April 15, 2043 (2043-04-15)	55 live Wednesday and weekend events (live events #3,289-3,343)	April 15, 2043 (2043-04-15)	August 19, 2043 (2043-08-19)	About four months	Scheduled to feature Shadow at age 58, Silver at age 56, Mighty at age 58, Sonic at age 57, Ray at age 51, Tails at age 50, Knuckles at age 57, Amy at age 53, Tangle at age 56, Rouge at age 59, Blaze at age 56, Sally at age 57, Marine at age 49, Mina at age 58 and Tikal at age 56
Phase #44 (Live Japan-United States Meeting/Tour)	August 22, 2043 (2043-08-22)	101 live Wednesday and weekend events (live events #3,344-3,444)	August 22, 2043 (2043-08-22)	April 10, 2044 (2044-04-10)	Nearly eight months
Phase #45 (Live Japan-United States Meeting/Tour)	April 13, 2044 (2044-04-13)	55 live Wednesday and weekend events (live events #3,445-3,499)	April 13, 2044 (2044-04-13)	August 17, 2044 (2044-08-17)	About four months	Scheduled to feature Shadow at age 59, Silver at age 57, Mighty at age 59, Sonic at age 58, Ray at age 52, Tails at age 51, Knuckles at age 58, Amy at age 54, Tangle at age 57, Rouge at age 60, Blaze at age 57, Sally at age 58, Marine at age 50, Mina at age 59 and Tikal at age 57
Phase #46 (Live Japan-United States Meeting/Tour)	August 20, 2044 (2044-08-20)	101 live Wednesday and weekend events (live events #3,500-3,600)	August 20, 2044 (2044-08-20)	April 9, 2045 (2045-04-09)	Nearly eight months
Phase #47 (Live Japan-United States Meeting/Tour)	April 12, 2045 (2045-04-12)	55 live Wednesday and weekend events (live events #3,601-3,655)	April 12, 2045 (2045-04-12)	August 16, 2045 (2045-08-16)	About four months	Scheduled to feature Shadow at age 60, Silver at age 58, Mighty at age 60, Sonic at age 59, Ray at age 53, Tails at age 52, Knuckles at age 59, Amy at age 55, Tangle at age 58, Rouge at age 61, Blaze at age 58, Sally at age 59, Marine at age 51, Mina at age 60 and Tikal at age 58
Phase #48 (Live Japan-United States Meeting/Tour)	August 19, 2045 (2045-08-19)	101 live Wednesday and weekend events (live events #3,656-3,756)	August 19, 2045 (2045-08-19)	April 8, 2046 (2046-04-08)	Nearly eight months
Phase #49 (Live Japan-United States Meeting/Tour)	April 11, 2046 (2046-04-11)	55 live Wednesday and weekend events (live events #3,757-3,811)	April 11, 2046 (2046-04-11)	August 15, 2046 (2046-08-15)	About four months	Scheduled to feature Shadow at age 61, Silver at age 59, Mighty at age 61, Sonic at age 60, Ray at age 54, Tails at age 53, Knuckles at age 60, Amy at age 56, Tangle at age 59, Rouge at age 62, Blaze at age 59, Sally at age 60, Marine at age 52, Mina at age 61 and Tikal at age 59
Phase #50 (Live Japan-United States Meeting/Tour)	August 18, 2046 (2046-08-18)	104 live Wednesday and weekend events (live events #3,812-3,915)	August 18, 2046 (2046-08-18)	April 14, 2047 (2047-04-14)	Nearly eight months

Live Japan-United States Documentary

Table containing information focusing on the Live Japan-United States Documentary

Documentary	Description	Debut date (date of first episode released)	Monthly episode count	Annual episode count	Annual edition count	Age status (Japanese-American stars/personalities)
Live Japan-United States Documentary	Licensed famous Japanese-American live documentary containing multiple episodes released indefinitely on Wednesdays and weekends and featuring Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as Japanese-American stars/personalities everywhere in multiple American and Japanese cities or urban areas	April 13, 2022 (2022-04-13)	12 to 14 episodes every month starting in May 2022	156 or 157 episodes every year starting in May 2022	Two editions per year (one containing 55 episodes and the other containing 101 or 102 episodes)	Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal getting older in later live events

Table focusing on editions and episodes and their release dates

Edition	Release date	Episode count	Date (first episode released)	Date (final episode released)	Duration	Status
Edition #1 (Live Japan-United States Documentary)	April 13, 2022 (2022-04-13)	55 episodes released on Wednesdays and weekends (episodes #1-55)	April 13, 2022 (2022-04-13)	August 17, 2022 (2022-08-17)	About four months	Featuring Shadow at age 37, Silver at age 35, Mighty at age 37, Sonic at age 36, Ray at age 30, Tails at age 29, Knuckles at age 36, Amy at age 32, Tangle at age 35, Rouge at age 38, Blaze at age 35, Sally at age 36, Marine at age 28, Mina at age 37 and Tikal at age 35
Edition #2 (Live Japan-United States Documentary)	August 20, 2022 (2022-08-20)	101 episodes released on Wednesdays and weekends (episodes #56-156)	August 20, 2022 (2022-08-20)	April 9, 2023 (2023-04-09)	Nearly eight months
Edition #3 (Live Japan-United States Documentary)	April 12, 2023 (2023-04-12)	55 episodes released on Wednesdays and weekends (episodes #157-211)	April 12, 2023 (2023-04-12)	August 16, 2023 (2023-08-16)	About four months	Featuring Shadow at age 38, Silver at age 36, Mighty at age 38, Sonic at age 37, Ray at age 31, Tails at age 30, Knuckles at age 37, Amy at age 33, Tangle at age 36, Rouge at age 39, Blaze at age 36, Sally at age 37, Marine at age 29, Mina at age 38 and Tikal at age 36
Edition #4 (Live Japan-United States Documentary)	August 19, 2023 (2023-08-19)	104 episodes released on Wednesdays and weekends (episodes #212-315)	August 19, 2023 (2023-08-19)	April 14, 2024 (2024-04-14)	Nearly eight months
Edition #5 (Live Japan-United States Documentary)	April 17, 2024 (2024-04-17)	55 episodes released or scheduled to be released on Wednesdays and weekends (episodes #316-370)	April 17, 2024 (2024-04-17)	August 21, 2024 (2024-08-21)	About four months	Featuring or scheduled to feature Shadow at age 39, Silver at age 37, Mighty at age 39, Sonic at age 38, Ray at age 32, Tails at age 31, Knuckles at age 38, Amy at age 34, Tangle at age 37, Rouge at age 40, Blaze at age 37, Sally at age 38, Marine at age 30, Mina at age 39 and Tikal at age 37
Edition #6 (Live Japan-United States Documentary)	August 24, 2024 (2024-08-24)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #371-471)	August 24, 2024 (2024-08-24)	April 13, 2025 (2025-04-13)	Nearly eight months	Scheduled to feature Shadow at age 39, Silver at age 37, Mighty at age 39, Sonic at age 38, Ray at age 32, Tails at age 31, Knuckles at age 38, Amy at age 34, Tangle at age 37, Rouge at age 40, Blaze at age 37, Sally at age 38, Marine at age 30, Mina at age 39 and Tikal at age 37
Edition #7 (Live Japan-United States Documentary)	April 16, 2025 (2025-04-16)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #472-526)	April 16, 2025 (2025-04-16)	August 20, 2025 (2025-08-20)	About four months	Scheduled to feature Shadow at age 40, Silver at age 38, Mighty at age 40, Sonic at age 39, Ray at age 33, Tails at age 32, Knuckles at age 39, Amy at age 35, Tangle at age 38, Rouge at age 41, Blaze at age 38, Sally at age 39, Marine at age 31, Mina at age 40 and Tikal at age 38
Edition #8 (Live Japan-United States Documentary)	August 23, 2025 (2025-08-23)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #527-627)	August 23, 2025 (2025-08-23)	April 12, 2026 (2026-04-12)	Nearly eight months
Edition #9 (Live Japan-United States Documentary)	April 15, 2026 (2026-04-15)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #628-682)	April 15, 2026 (2026-04-15)	August 19, 2026 (2026-08-19)	About four months	Scheduled to feature Shadow at age 41, Silver at age 39, Mighty at age 41, Sonic at age 40, Ray at age 34, Tails at age 33, Knuckles at age 40, Amy at age 36, Tangle at age 39, Rouge at age 42, Blaze at age 39, Sally at age 40, Marine at age 32, Mina at age 41 and Tikal at age 39
Edition #10 (Live Japan-United States Documentary)	August 22, 2026 (2026-08-22)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #683-783)	August 22, 2026 (2026-08-22)	April 11, 2027 (2027-04-11)	Nearly eight months
Edition #11 (Live Japan-United States Documentary)	April 14, 2027 (2027-04-14)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #784-838)	April 14, 2027 (2027-04-14)	August 18, 2027 (2027-08-18)	About four months	Scheduled to feature Shadow at age 42, Silver at age 40, Mighty at age 42, Sonic at age 41, Ray at age 35, Tails at age 34, Knuckles at age 41, Amy at age 37, Tangle at age 40, Rouge at age 43, Blaze at age 40, Sally at age 41, Marine at age 33, Mina at age 42 and Tikal at age 40
Edition #12 (Live Japan-United States Documentary)	August 21, 2027 (2027-08-21)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #839-939)	August 21, 2027 (2027-08-21)	April 9, 2028 (2028-04-09)	Nearly eight months
Edition #13 (Live Japan-United States Documentary)	April 12, 2028 (2028-04-12)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #940-994)	April 12, 2028 (2028-04-12)	August 16, 2028 (2028-08-16)	About four months	Scheduled to feature Shadow at age 43, Silver at age 41, Mighty at age 43, Sonic at age 42, Ray at age 35, Tails at age 34, Knuckles at age 42, Amy at age 38, Tangle at age 41, Rouge at age 44, Blaze at age 41, Sally at age 42, Marine at age 34, Mina at age 43 and Tikal at age 41
Edition #14 (Live Japan-United States Documentary)	August 19, 2028 (2028-08-19)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #995-1,095)	August 19, 2028 (2028-08-19)	April 8, 2029 (2029-04-08)	Nearly eight months
Edition #15 (Live Japan-United States Documentary)	April 11, 2029 (2029-04-11)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #1,096-1,150)	April 11, 2029 (2029-04-11)	August 15, 2029 (2029-08-15)	About four months	Scheduled to feature Shadow at age 44, Silver at age 42, Mighty at age 44, Sonic at age 43, Ray at age 37, Tails at age 36, Knuckles at age 43, Amy at age 39, Tangle at age 42, Rouge at age 45, Blaze at age 42, Sally at age 43, Marine at age 35, Mina at age 44 and Tikal at age 42
Edition #16 (Live Japan-United States Documentary)	August 18, 2029 (2029-08-18)	104 episodes scheduled to be released on Wednesdays and weekends (episodes #1,151-1,254)	August 18, 2029 (2029-08-18)	April 14, 2030 (2030-04-14)	Nearly eight months
Edition #17 (Live Japan-United States Documentary)	April 17, 2030 (2030-04-17)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #1,255-1,309)	April 17, 2030 (2030-04-17)	August 21, 2030 (2030-08-21)	About four months	Scheduled to feature Shadow at age 45, Silver at age 43, Mighty at age 45, Sonic at age 44, Ray at age 38, Tails at age 37, Knuckles at age 44, Amy at age 40, Tangle at age 43, Rouge at age 46, Blaze at age 43, Sally at age 44, Marine at age 36, Mina at age 45 and Tikal at age 43
Edition #18 (Live Japan-United States Documentary)	August 24, 2030 (2030-08-24)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #1,310-1,410)	August 24, 2030 (2030-08-24)	April 13, 2031 (2031-04-13)	Nearly eight months
Edition #19 (Live Japan-United States Documentary)	April 16, 2031 (2031-04-16)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #1,411-1,465)	April 16, 2031 (2031-04-16)	August 20, 2031 (2031-08-20)	About four months	Scheduled to feature Shadow at age 46, Silver at age 44, Mighty at age 46, Sonic at age 45, Ray at age 39, Tails at age 38, Knuckles at age 45, Amy at age 41, Tangle at age 44, Rouge at age 47, Blaze at age 44, Sally at age 45, Marine at age 37, Mina at age 46 and Tikal at age 44
Edition #20 (Live Japan-United States Documentary)	August 23, 2031 (2031-08-23)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #1,466-1,566)	August 23, 2031 (2031-08-23)	April 11, 2032 (2032-04-11)	Nearly eight months
Edition #21 (Live Japan-United States Documentary)	April 14, 2032 (2032-04-14)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #1,567-1,621)	April 14, 2032 (2032-04-14)	August 18, 2032 (2032-08-18)	About four months	Scheduled to feature Shadow at age 47, Silver at age 45, Mighty at age 47, Sonic at age 46, Ray at age 40, Tails at age 39, Knuckles at age 46, Amy at age 42, Tangle at age 45, Rouge at age 48, Blaze at age 45, Sally at age 46, Marine at age 38, Mina at age 47 and Tikal at age 45
Edition #22 (Live Japan-United States Documentary)	August 21, 2032 (2032-08-21)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #1,622-1,722)	August 21, 2032 (2032-08-21)	April 10, 2033 (2033-04-10)	Nearly eight months
Edition #23 (Live Japan-United States Documentary)	April 13, 2033 (2033-04-13)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #1,723-1,777)	April 13, 2033 (2033-04-13)	August 17, 2033 (2033-08-17)	About four months	Scheduled to feature Shadow at age 48, Silver at age 46, Mighty at age 48, Sonic at age 47, Ray at age 41, Tails at age 40, Knuckles at age 47, Amy at age 43, Tangle at age 46, Rouge at age 49, Blaze at age 46, Sally at age 47, Marine at age 39, Mina at age 48 and Tikal at age 46
Edition #24 (Live Japan-United States Documentary)	August 20, 2033 (2033-08-20)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #1,778-1,878)	August 20, 2033 (2033-08-20)	April 9, 2034 (2034-04-09)	Nearly eight months
Edition #25 (Live Japan-United States Documentary)	April 12, 2034 (2034-04-12)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #1,879-1,933)	April 12, 2034 (2034-04-12)	August 16, 2034 (2034-08-16)	About four months	Scheduled to feature Shadow at age 49, Silver at age 47, Mighty at age 49, Sonic at age 48, Ray at age 42, Tails at age 41, Knuckles at age 48, Amy at age 44, Tangle at age 47, Rouge at age 50, Blaze at age 47, Sally at age 48, Marine at age 40, Mina at age 49 and Tikal at age 47
Edition #26 (Live Japan-United States Documentary)	August 19, 2034 (2034-08-19)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #1,934-2,034)	August 19, 2034 (2034-08-19)	April 8, 2035 (2035-04-08)	Nearly eight months
Edition #27 (Live Japan-United States Documentary)	April 11, 2035 (2035-04-11)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #2,035-2,089)	April 11, 2035 (2035-04-11)	August 15, 2035 (2035-08-15)	About four months	Scheduled to feature Shadow at age 50, Silver at age 48, Mighty at age 50, Sonic at age 49, Ray at age 43, Tails at age 42, Knuckles at age 49, Amy at age 45, Tangle at age 48, Rouge at age 51, Blaze at age 48, Sally at age 49, Marine at age 41, Mina at age 50 and Tikal at age 48
Edition #28 (Live Japan-United States Documentary)	August 18, 2035 (2035-08-18)	104 episodes scheduled to be released on Wednesdays and weekends (episodes #2,090-2,193)	August 18, 2035 (2035-08-18)	April 13, 2036 (2036-04-13)	Nearly eight months
Edition #29 (Live Japan-United States Documentary)	April 16, 2036 (2036-04-16)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #2,194-2,248)	April 16, 2036 (2036-04-16)	August 20, 2036 (2036-08-20)	About four months	Scheduled to feature Shadow at age 51, Silver at age 49, Mighty at age 51, Sonic at age 50, Ray at age 44, Tails at age 43, Knuckles at age 50, Amy at age 46, Tangle at age 49, Rouge at age 52, Blaze at age 49, Sally at age 50, Marine at age 42, Mina at age 51 and Tikal at age 49
Edition #30 (Live Japan-United States Documentary)	August 23, 2036 (2036-08-23)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #2,249-2,349)	August 23, 2036 (2036-08-23)	April 12, 2037 (2037-04-12)	Nearly eight months
Edition #31 (Live Japan-United States Documentary)	April 15, 2037 (2037-04-15)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #2,350-2,404)	April 15, 2037 (2037-04-15)	August 19, 2037 (2037-08-19)	About four months	Scheduled to feature Shadow at age 52, Silver at age 50, Mighty at age 52, Sonic at age 51, Ray at age 45, Tails at age 44, Knuckles at age 51, Amy at age 47, Tangle at age 50, Rouge at age 53, Blaze at age 50, Sally at age 51, Marine at age 43, Mina at age 52 and Tikal at age 50
Edition #32 (Live Japan-United States Documentary)	August 22, 2037 (2037-08-22)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #2,405-2,505)	August 22, 2037 (2037-08-22)	April 11, 2038 (2038-04-11)	Nearly eight months
Edition #33 (Live Japan-United States Documentary)	April 14, 2038 (2038-04-14)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #2,506-2,560)	April 14, 2038 (2038-04-14)	August 18, 2038 (2038-08-18)	About four months	Scheduled to feature Shadow at age 53, Silver at age 51, Mighty at age 53, Sonic at age 52, Ray at age 46, Tails at age 45, Knuckles at age 52, Amy at age 48, Tangle at age 51, Rouge at age 54, Blaze at age 51, Sally at age 52, Marine at age 44, Mina at age 53 and Tikal at age 51
Edition #34 (Live Japan-United States Documentary)	August 21, 2038 (2038-08-21)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #2,561-2,661)	August 21, 2038 (2038-08-21)	April 10, 2039 (2039-04-10)	Nearly eight months
Edition #35 (Live Japan-United States Documentary)	April 13, 2039 (2039-04-13)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #2,662-2,716)	April 13, 2039 (2039-04-13)	August 17, 2039 (2039-08-17)	About four months	Scheduled to feature Shadow at age 54, Silver at age 52, Mighty at age 54, Sonic at age 53, Ray at age 47, Tails at age 46, Knuckles at age 53, Amy at age 49, Tangle at age 52, Rouge at age 55, Blaze at age 52, Sally at age 53, Marine at age 45, Mina at age 54 and Tikal at age 52
Edition #36 (Live Japan-United States Documentary)	August 20, 2039 (2039-08-20)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #2,717-2,817)	August 20, 2039 (2039-08-20)	April 8, 2040 (2040-04-08)	Nearly eight months
Edition #37 (Live Japan-United States Documentary)	April 11, 2040 (2040-04-11)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #2,818-2,872)	April 11, 2040 (2040-04-11)	August 15, 2040 (2040-08-15)	About four months	Scheduled to feature Shadow at age 55, Silver at age 53, Mighty at age 55, Sonic at age 54, Ray at age 48, Tails at age 47, Knuckles at age 54, Amy at age 50, Tangle at age 53, Rouge at age 56, Blaze at age 53, Sally at age 54, Marine at age 46, Mina at age 55 and Tikal at age 53
Edition #38 (Live Japan-United States Documentary)	August 18, 2040 (2040-08-18)	104 episodes scheduled to be released on Wednesdays and weekends (episodes #2,873-2,976)	August 18, 2040 (2040-08-18)	April 14, 2041 (2041-04-14)	Nearly eight months
Edition #39 (Live Japan-United States Documentary)	April 17, 2041 (2041-04-17)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #2,977-3,031)	April 17, 2041 (2041-04-17)	August 21, 2041 (2041-08-21)	About four months	Scheduled to feature Shadow at age 56, Silver at age 54, Mighty at age 56, Sonic at age 55, Ray at age 49, Tails at age 48, Knuckles at age 55, Amy at age 51, Tangle at age 54, Rouge at age 57, Blaze at age 54, Sally at age 55, Marine at age 47, Mina at age 56 and Tikal at age 54
Edition #40 (Live Japan-United States Documentary)	August 24, 2041 (2041-08-24)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #3,032-3,132)	August 24, 2041 (2041-08-24)	April 13, 2042 (2042-04-13)	Nearly eight months
Edition #41 (Live Japan-United States Documentary)	April 16, 2042 (2042-04-16)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #3,133-3,187)	April 16, 2042 (2042-04-16)	August 20, 2042 (2042-08-20)	About four months	Scheduled to feature Shadow at age 57, Silver at age 55, Mighty at age 57, Sonic at age 56, Ray at age 50, Tails at age 49, Knuckles at age 56, Amy at age 52, Tangle at age 55, Rouge at age 58, Blaze at age 55, Sally at age 56, Marine at age 48, Mina at age 57 and Tikal at age 55
Edition #42 (Live Japan-United States Documentary)	August 23, 2042 (2042-08-23)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #3,188-3,288)	August 23, 2042 (2042-08-23)	April 12, 2043 (2043-04-12)	Nearly eight months
Edition #43 (Live Japan-United States Documentary)	April 15, 2043 (2043-04-15)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #3,289-3,343)	April 15, 2043 (2043-04-15)	August 19, 2043 (2043-08-19)	About four months	Scheduled to feature Shadow at age 58, Silver at age 56, Mighty at age 58, Sonic at age 57, Ray at age 51, Tails at age 50, Knuckles at age 57, Amy at age 53, Tangle at age 56, Rouge at age 59, Blaze at age 56, Sally at age 57, Marine at age 49, Mina at age 58 and Tikal at age 56
Edition #44 (Live Japan-United States Documentary)	August 22, 2043 (2043-08-22)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #3,344-3,444)	August 22, 2043 (2043-08-22)	April 10, 2044 (2044-04-10)	Nearly eight months
Edition #45 (Live Japan-United States Documentary)	April 13, 2044 (2044-04-13)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #3,445-3,499)	April 13, 2044 (2044-04-13)	August 17, 2044 (2044-08-17)	About four months	Scheduled to feature Shadow at age 59, Silver at age 57, Mighty at age 59, Sonic at age 58, Ray at age 52, Tails at age 51, Knuckles at age 58, Amy at age 54, Tangle at age 57, Rouge at age 60, Blaze at age 57, Sally at age 58, Marine at age 50, Mina at age 59 and Tikal at age 57
Edition #46 (Live Japan-United States Documentary)	August 20, 2044 (2044-08-20)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #3,500-3,600)	August 20, 2044 (2044-08-20)	April 9, 2045 (2045-04-09)	Nearly eight months
Edition #47 (Live Japan-United States Documentary)	April 12, 2045 (2045-04-12)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #3,601-3,655)	April 12, 2045 (2045-04-12)	August 16, 2045 (2045-08-16)	About four months	Scheduled to feature Shadow at age 60, Silver at age 58, Mighty at age 60, Sonic at age 59, Ray at age 53, Tails at age 52, Knuckles at age 59, Amy at age 55, Tangle at age 58, Rouge at age 61, Blaze at age 58, Sally at age 59, Marine at age 51, Mina at age 60 and Tikal at age 58
Edition #48 (Live Japan-United States Documentary)	August 19, 2045 (2045-08-19)	101 episodes scheduled to be released on Wednesdays and weekends (episodes #3,656-3,756)	August 19, 2045 (2045-08-19)	April 8, 2046 (2046-04-08)	Nearly eight months
Edition #49 (Live Japan-United States Documentary)	April 11, 2046 (2046-04-11)	55 episodes scheduled to be released on Wednesdays and weekends (episodes #3,757-3,811)	April 11, 2046 (2046-04-11)	August 15, 2046 (2046-08-15)	About four months	Scheduled to feature Shadow at age 61, Silver at age 59, Mighty at age 61, Sonic at age 60, Ray at age 54, Tails at age 53, Knuckles at age 60, Amy at age 56, Tangle at age 59, Rouge at age 62, Blaze at age 59, Sally at age 60, Marine at age 52, Mina at age 61 and Tikal at age 59
Edition #50 (Live Japan-United States Documentary)	August 18, 2046 (2046-08-18)	104 episodes scheduled to be released on Wednesdays and weekends (episodes #3,812-3,915)	August 18, 2046 (2046-08-18)	April 14, 2047 (2047-04-14)	Nearly eight months

Japanese-American star/personality statistics

Table focusing on Japanese-American stars/personalities

Star/personality name	Gender	Born	Country of birth	Country of raising	Countries led	Nationality	Country of residence	Country of travel	Height	Known or identified by	First seen	Live debut date	Appearance status	Net worth	Age status
Shadow	Male	(1985-04-09) April 9, 1985	United States	Japan	United States Japan	Japanese-American	United States	Japan	6’ 3”	200+ million in the United States and Japan	April 13, 2022 (2022-04-13)		Appearing indefinitely Continuing to appear for many years in obedience to the announcement on June 8, 2022	USD$6.4 billion	Getting older on later days or in later periods, months or years
Silver		(1987-04-09) April 9, 1987								190+ million in the United States and Japan				USD$6.2 billion
Mighty		(1985-04-13) April 13, 1985								180+ million in the United States and Japan				USD$6 billion
Sonic		(1986-04-13) April 13, 1986								170+ million in the United States and Japan				USD$5.8 billion
Ray		(1992-04-11) April 11, 1992							6’ 4”	160+ million in the United States and Japan				USD$5.6 billion
Tails		(1993-04-11) April 11, 1993								150+ million in the United States and Japan				USD$5.4 billion
Knuckles		(1986-04-13) April 13, 1986								140+ million in the United States and Japan				USD$5.2 billion
Amy	Female	(1990-04-13) April 13, 1990							5’ 1”	205+ million in the United States and Japan				USD$6.5 billion
Tangle		(1987-04-13) April 13, 1987								195+ million in the United States and Japan				USD$6.3 billion
Rouge		(1984-04-11) April 11, 1984							5’	185+ million in the United States and Japan				USD$6.1 billion
Blaze		(1987-04-11) April 11, 1987								175+ million in the United States and Japan				USD$5.9 billion
Sally		(1986-04-09) April 9, 1986							5’ 1”	165+ million in the United States and Japan				USD$5.7 billion
Marine		(1994-04-09) April 9, 1994								155+ million in the United States and Japan				USD$5.5 billion
Mina		(1985-04-09) April 9, 1985							5’	145+ million in the United States and Japan				USD$5.3 billion
Tikal		(1987-04-09) April 9, 1987								135+ million in the United States and Japan				USD$5.1 billion

Ages of Japanese-American stars/personalities in previous, current and future years

Table focusing on ages of Japanese-American stars/personalities in previous, current and future years

Star/personality name	Age in mid-2022	Age in mid-2023	Age in mid-2024	Age in mid-2025	Age in mid-2026	Age in mid-2027	Age in mid-2028	Age in mid-2029	Age in mid-2030	Age in mid-2031	Age in mid-2032	Age in mid-2033	Age in mid-2034	Age in mid-2035	Age in mid-2036	Age in mid-2037	Age in mid-2038	Age in mid-2039	Age in mid-2040	Age in mid-2041	Age in mid-2042	Age in mid-2043	Age in mid-2044	Age in mid-2045	Age in mid-2046
Shadow	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59	60	61
Silver	35	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59
Mighty	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59	60	61
Sonic	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59	60
Ray	30	31	32	33	34	35	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54
Tails	29	30	31	32	33	34	35	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53
Knuckles	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59	60
Amy	32	33	34	35	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56
Tangle	35	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59
Rouge	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59	60	61	62
Blaze	35	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59
Sally	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59	60
Marine	28	29	30	31	32	33	34	35	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52
Mina	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59	60	61
Tikal	35	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59

Car motion (in yards)

American and Japanese cars containing Shadow (age 37), Silver (age 35), Mighty (age 37), Sonic (age 36), Ray (age 30), Tails (age 29), Knuckles (age 36), Amy (age 32), Tangle (age 35), Rouge (age 38), Blaze (age 35), Sally (age 36), Marine (age 28), Mina (age 37) and Tikal (age 35) as their famous drivers traveled ⁠–1,125t – 225 + 25(10t + 3)√30t + 9/74.0664⁠ yd in first 36 seconds as their displacement in multiple live events held in multiple American and Japanese cities/urban areas in May/June 2022. What was their velocity? And what was their acceleration?

Given, s = ⁠–1,125t – 225 + 25(10t + 3)√30t + 9/74.0664⁠ yd for 0 <= t <= 36 s

v = ⁠ds/dt⁠

v = ⁠–375+125√30t + 9/24.6888⁠ yd/s

American and Japanese cars containing Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as their famous drivers traveled at ⁠–375+125√30t + 9/24.6888⁠ yd/s in first 36 seconds in multiple live events held in multiple American and Japanese cities/urban areas in May/June 2022, i.e. their velocity increased at a decreasing rate.

a = ⁠dv/dt⁠; ⁠d²s/dt²⁠

a = ⁠625√30t + 9/24.6888(10t + 3)⁠ yd/s²

American and Japanese cars containing Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as their famous drivers accelerated at ⁠625√30t + 9/24.6888(10t + 3)⁠ yd/s² in first 36 seconds in multiple live events held in multiple American and Japanese cities/urban areas in May/June 2022, i.e. their acceleration decreased.

Car motion (in feet)

American and Japanese cars containing Shadow (age 37), Silver (age 35), Mighty (age 37), Sonic (age 36), Ray (age 30), Tails (age 29), Knuckles (age 36), Amy (age 32), Tangle (age 35), Rouge (age 38), Blaze (age 35), Sally (age 36), Marine (age 28), Mina (age 37) and Tikal (age 35) as their famous drivers traveled ⁠–1,125t – 225 + 25(10t + 3)√30t + 9/24.6888⁠ ft in first 36 seconds as their displacement in multiple live events held in multiple American and Japanese cities/urban areas in May/June 2022. What was their velocity? And what was their acceleration?

Given, s = ⁠–1,125t – 225 + 25(10t + 3)√30t + 9/24.6888⁠ ft for 0 <= t <= 36 s

v = ⁠ds/dt⁠

v = ⁠–375+125√30t + 9/8.2296⁠ ft/s

American and Japanese cars containing Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as their famous drivers traveled at ⁠–375+125√30t + 9/8.2296⁠ ft/s in first 36 seconds in multiple live events held in multiple American and Japanese cities/urban areas in May/June 2022, i.e. their velocity increased at a decreasing rate.

a = ⁠dv/dt⁠; ⁠d²s/dt²⁠

a = ⁠625√30t + 9/8.2296(10t + 3)⁠ ft/s²

American and Japanese cars containing Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as their famous drivers accelerated at ⁠625√30t + 9/8.2296(10t + 3)⁠ ft/s² in first 36 seconds in multiple live events held in multiple American and Japanese cities/urban areas in May/June 2022, i.e. their acceleration decreased.

Motion of American and Japanese cars in first 36 seconds (yards)

Table focusing on the motion of American and Japanese cars containing Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as their famous drivers in first 36 seconds in multiple American and Japanese cities/urban areas in May/June 2022, where s = ⁠–1,125t – 225 + 25(10t + 3)√30t + 9/74.0664⁠ yd, v = ⁠–375+125√30t + 9/24.6888⁠ yd/s and a = ⁠625√30t + 9/24.6888(10t + 3)⁠ yd/s²

Time (t, in seconds)	Displacement (s, in yards)	Velocity (v, in yards per second)	Acceleration (a, in yards per second squared)
0			25.3
0.9	7.6	15.2	12.7
2.4	42.5	30.4	8.4
4.5	123	45.6	6.3
7.2	267.3	60.8	5.1
10.5	493.6	75.9	4.2
14.4	820.2	91.1	3.6
18.9	1,265	106.3	3.2
24	1,847	121.5	2.8
29.7	2,584	136.7	2.5
36	3,493	151.9	2.3

Motion of American and Japanese cars in first 36 seconds (feet)

Table focusing on the motion of American and Japanese cars containing Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as their famous drivers in first 36 seconds in multiple American and Japanese cities/urban areas in May/June 2022, where s = ⁠–1,125t – 225 + 25(10t + 3)√30t + 9/24.6888⁠ ft, v = ⁠–375+125√30t + 9/8.2296⁠ ft/s and a = ⁠625√30t + 9/8.2296(10t + 3)⁠ ft/s²

Time (t, in seconds)	Displacement (s, in feet)	Velocity (v, in feet per second)	Acceleration (a, in feet per second squared)
0			75.9
0.9	22.8	45.6	38
2.4	127.6	91.1	25.3
4.5	369.1	136.7	19
7.2	802	182.3	15.2
10.5	1,481	227.8	12.7
14.4	2,461	273.4	10.8
18.9	3,796	319	9.5
24	5,541	364.5	8.4
29.7	7,751	410.1	7.6
36	10,480	455.7	6.9

Multiple racing car crashes on the racetrack close to Apple Park on May 14, 2022, only minor injuries triggered

On May 14, 2022, racing cars containing Shadow (age 37), Silver (age 35), Mighty (age 37), Sonic (age 36), Ray (age 30), Tails (age 29), Knuckles (age 36), Amy (age 32), Tangle (age 35), Rouge (age 38), Blaze (age 35), Sally (age 36), Marine (age 28), Mina (age 37) and Tikal (age 35) and 25 other Japanese-American racing stars as their famous drivers crashed at speeds ranging between 80 mph and 120 mph on the racetrack close to Apple Park. Two racing cars containing Shadow and Silver crashed into each other. Two racing cars containing Mighty and Sonic crashed into each other. Two racing cars containing Ray and Tails crashed into each other. Two racing cars containing Mina and Tikal crashed into each other. Two racing cars containing Rouge and Blaze crashed into each other. Two racing cars containing Sally and Marine crashed into each other. 20 other racing cars containing 20 other Japanese-American stars crashed into each other. Eight other racing cars containing Knuckles, Amy and Tangle and five other Japanese-American stars crashed.

Luckily, Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal and 25 other Japanese-American stars were not seriously injured after being involved in multiple racing car crashes on the racetrack close to Apple Park. Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine and 20 other Japanese-American racing stars escaped after the impact by ceasing to be buckled, i.e. removing their seat belts. Emergency crew members were called directly to the racetrack close to Apple Park. Knuckles, Amy and Tangle and five other Japanese-American racing stars were trapped inside for some time as they remained buckled after the impact, i.e. they kept having seat belts worn. Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine and 20 other Japanese-American racing stars were outside damaged racing cars for some time before being moved directly to ambulances. Knuckles, Amy and Tangle and five other Japanese-American racing stars were inside damaged racing cars for some time before being moved directly to ambulances as well.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal and 25 other Japanese-American stars were sent directly to hospitals close to Apple Park for treatment after multiple racing car crashes on the racetrack close to Apple Park, where they were listed in good condition. Though not seriously injured after being involved in multiple racing car crashes close to Apple Park, they were in hospitals close to Apple Park for only one day while in good condition. A day later, on May 15, 2022, Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal and 25 other Japanese-American stars finally left hospitals the day after multiple racing car crashes on the racetrack close to Apple Park. On that day, the racetrack close to Apple Park was finally cleaned up. Damaged racing cars were finally removed on that day.

Acceleration times for very high-performance cars

Table focusing on acceleration times for very high-performance American and Japanese cars containing Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as their famous drivers, though designed in May 2022

Acceleration type	Time required (in seconds)
0-31 mph	0.9
0-62 mph	2.4
0-93 mph	4.5
0-124 mph	7.2
0-155 mph	10.5
0-186 mph	14.4
0-217 mph	18.9
0-249 mph	24
0-280 mph	29.7
0-311 mph	36
31-62 mph	1.5
31-93 mph	3.6
31-124 mph	6.3
31-155 mph	9.6
31-186 mph	13.5
31-217 mph	18
31-249 mph	23.1
31-280 mph	28.8
31-311 mph	35.1
62-93 mph	2.1
62-124 mph	4.8
62-155 mph	8.1
62-186 mph	12
62-217 mph	16.5
62-249 mph	21.6
62-280 mph	27.3
62-311 mph	33.6
93-124 mph	2.7
93-155 mph	6
93-186 mph	9.9
93-217 mph	14.4
93-249 mph	19.5
93-280 mph	25.2
93-311 mph	31.5
124-155 mph	3.3
124-186 mph	7.2
124-217 mph	11.7
124-249 mph	16.8
124-280 mph	22.5
124-311 mph	28.8
155-186 mph	3.9
155-217 mph	8.4
155-249 mph	13.5
155-280 mph	19.2
155-311 mph	25.5
186-217 mph	4.5
186-249 mph	9.6
186-280 mph	15.3
186-311 mph	21.6
217-249 mph	5.1
217-280 mph	10.8
217-311 mph	17.1
249-280 mph	5.7
249-311 mph	12
280-311 mph	6.3

Table focusing on speeds attained by American and Japanese cars containing Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as their famous drivers, though designed in May 2022

Speed type	Attained in
31 mph	0.9 second
62 mph	2.4 seconds
93 mph	4.5 seconds
124 mph	7.2 seconds
155 mph	10.5 seconds
186 mph	14.4 seconds
217 mph	18.9 seconds
249 mph	24 seconds
280 mph	29.7 seconds
311 mph	36 seconds as the top speed

Table focusing on speeds attained by American and Japanese cars designed in May 2022 to accelerate to 62 mph im 2.4 seconds, travel at speeds up to 311 mph and be rated 2,000+ BHP by their power, though containing Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as their famous drivers

Acceleration (0-62 mph)	Top speed	Power
2.4 seconds	311 mph	2,000+ BHP

Table focusing on the United States-Japan Super Car Collection

Collection	Created	Description	Famous driver #1	Famous driver #2	Famous driver #3	Famous driver #4	Famous driver #5	Famous driver #6	Famous driver #7	Famous driver #8	Famous driver #9	Famous driver #10	Famous driver #11	Famous driver #12	Famous driver #13	Famous driver #14	Famous driver #15
United States-Japan Super Car Collection	May 2022 (2022-05) June 2022 (2022-06)	Collection containing or featuring very high-performance American and Japanese cars able to attain 31 mph in 0.9 second, 62 mph in 2.4 seconds, 93 mph in 4.5 seconds, 124 mph in 7.2 seconds, 155 mph in 10.5 seconds, 186 mph in 14.4 seconds, 217 mph in 18.9 seconds, 249 mph in 24 seconds, 280 mph in 29.7 seconds and 311 mph in 36 seconds as their top speed and rated 2,000+ BHP by their power	Shadow	Silver	Mighty	Sonic	Ray	Tails	Knuckles	Amy	Tangle	Rouge	Blaze	Sally	Marine	Mina	Tikal

Companies, car companies and cities/urban areas by country

Table focusing on cities/urban areas

City/urban area	Country	Famous explorer #1	Famous explorer #2	Famous explorer #3	Famous explorer #4	Famous explorer #5	Famous explorer #6	Famous explorer #7	Famous explorer #8	Famous explorer #9	Famous explorer #10	Famous explorer #11	Famous explorer #12	Famous explorer #13	Famous explorer #14	Famous explorer #15
New York City	United States	Shadow (since May 2022)	Silver (since May 2022)	Mighty (since May 2022)	Sonic (since May 2022)	Ray (since May 2022)	Tails (since May 2022)	Knuckles (since May 2022)	Amy (since May 2022)	Tangle (since May 2022)	Rouge (since May 2022)	Blaze (since May 2022)	Sally (since May 2022)	Marine (since May 2022)	Mina (since May 2022)	Tikal (since May 2022)
Tokyo	Japan	Shadow (since June 2022)	Silver (since June 2022)	Mighty (since June 2022)	Sonic (since June 2022)	Ray (since June 2022)	Tails (since June 2022)	Knuckles (since June 2022)	Amy (since June 2022)	Tangle (since June 2022)	Rouge (since June 2022)	Blaze (since June 2022)	Sally (since June 2022)	Marine (since June 2022)	Mina (since June 2022)	Tikal (since June 2022)
Los Angeles	United States	Shadow (since May 2022)	Silver (since May 2022)	Mighty (since May 2022)	Sonic (since May 2022)	Ray (since May 2022)	Tails (since May 2022)	Knuckles (since May 2022)	Amy (since May 2022)	Tangle (since May 2022)	Rouge (since May 2022)	Blaze (since May 2022)	Sally (since May 2022)	Marine (since May 2022)	Mina (since May 2022)	Tikal (since May 2022)
Yokohama	Japan	Shadow (since June 2022)	Silver (since June 2022)	Mighty (since June 2022)	Sonic (since June 2022)	Ray (since June 2022)	Tails (since June 2022)	Knuckles (since June 2022)	Amy (since June 2022)	Tangle (since June 2022)	Rouge (since June 2022)	Blaze (since June 2022)	Sally (since June 2022)	Marine (since June 2022)	Mina (since June 2022)	Tikal (since June 2022)
Chicago	United States	Shadow (since May 2022)	Silver (since May 2022)	Mighty (since May 2022)	Sonic (since May 2022)	Ray (since May 2022)	Tails (since May 2022)	Knuckles (since May 2022)	Amy (since May 2022)	Tangle (since May 2022)	Rouge (since May 2022)	Blaze (since May 2022)	Sally (since May 2022)	Marine (since May 2022)	Mina (since May 2022)	Tikal (since May 2022)
Osaka	Japan	Shadow (since June 2022)	Silver (since June 2022)	Mighty (since June 2022)	Sonic (since June 2022)	Ray (since June 2022)	Tails (since June 2022)	Knuckles (since June 2022)	Amy (since June 2022)	Tangle (since June 2022)	Rouge (since June 2022)	Blaze (since June 2022)	Sally (since June 2022)	Marine (since June 2022)	Mina (since June 2022)	Tikal (since June 2022)
Houston	United States	Shadow (since May 2022)	Silver (since May 2022)	Mighty (since May 2022)	Sonic (since May 2022)	Ray (since May 2022)	Tails (since May 2022)	Knuckles (since May 2022)	Amy (since May 2022)	Tangle (since May 2022)	Rouge (since May 2022)	Blaze (since May 2022)	Sally (since May 2022)	Marine (since May 2022)	Mina (since May 2022)	Tikal (since May 2022)
Nagoya	Japan	Shadow (since June 2022)	Silver (since June 2022)	Mighty (since June 2022)	Sonic (since June 2022)	Ray (since June 2022)	Tails (since June 2022)	Knuckles (since June 2022)	Amy (since June 2022)	Tangle (since June 2022)	Rouge (since June 2022)	Blaze (since June 2022)	Sally (since June 2022)	Marine (since June 2022)	Mina (since June 2022)	Tikal (since June 2022)
Washington, D.C.	United States	Shadow (since May 2022)	Silver (since May 2022)	Mighty (since May 2022)	Sonic (since May 2022)	Ray (since May 2022)	Tails (since May 2022)	Knuckles (since May 2022)	Amy (since May 2022)	Tangle (since May 2022)	Rouge (since May 2022)	Blaze (since May 2022)	Sally (since May 2022)	Marine (since May 2022)	Mina (since May 2022)	Tikal (since May 2022)
Chiba	Japan	Shadow (since June 2022)	Silver (since June 2022)	Mighty (since June 2022)	Sonic (since June 2022)	Ray (since June 2022)	Tails (since June 2022)	Knuckles (since June 2022)	Amy (since June 2022)	Tangle (since June 2022)	Rouge (since June 2022)	Blaze (since June 2022)	Sally (since June 2022)	Marine (since June 2022)	Mina (since June 2022)	Tikal (since June 2022)

Table focusing on companies

Company	Country	Star #1	Star #2	Star #3	Star #4	Star #5	Star #6	Star #7	Star #8	Star #9	Star #10	Star #11	Star #12	Star #13	Star #14	Star #15
Apple Inc.	United States	Shadow (since May 2022)	Silver (since May 2022)	Mighty (since May 2022)	Sonic (since May 2022)	Ray (since May 2022)	Tails (since May 2022)	Knuckles (since May 2022)	Amy (since May 2022)	Tangle (since May 2022)	Rouge (since May 2022)	Blaze (since May 2022)	Sally (since May 2022)	Marine (since May 2022)	Mina (since May 2022)	Tikal (since May 2022)
Capcom	Japan
Costco	United States
Vaio	Japan

Table focusing on car companies

Car company	Country	Star #1	Star #2	Star #3	Star #4	Star #5	Star #6	Star #7	Star #8	Star #9	Star #10	Star #11	Star #12	Star #13	Star #14	Star #15
Cadillac	United States	Shadow (since May 2022)	Silver (since May 2022)	Mighty (since May 2022)	Sonic (since May 2022)	Ray (since May 2022)	Tails (since May 2022)	Knuckles (since May 2022)	Amy (since May 2022)	Tangle (since May 2022)	Rouge (since May 2022)	Blaze (since May 2022)	Sally (since May 2022)	Marine (since May 2022)	Mina (since May 2022)	Tikal (since May 2022)
Chevrolet
Dodge
Ford
Honda	Japan	Shadow (since June 2022)	Silver (since June 2022)	Mighty (since June 2022)	Sonic (since June 2022)	Ray (since June 2022)	Tails (since June 2022)	Knuckles (since June 2022)	Amy (since June 2022)	Tangle (since June 2022)	Rouge (since June 2022)	Blaze (since June 2022)	Sally (since June 2022)	Marine (since June 2022)	Mina (since June 2022)	Tikal (since June 2022)
Mitsubishi
Nissan
Toyota

Tables containing information focusing on quadratic functions

Table focusing on y = 4x² – 16x + 15

x	y
⁠3/2⁠	0
2	–1
⁠5/2⁠	0

Table focusing on y = 15x² – 16x + 4

x	y
⁠2/5⁠	0
⁠8/15⁠	–⁠4/15⁠
⁠2/3⁠	0

Table focusing on y = 6x² – 19x + 15

x	y
⁠3/2⁠	0
⁠19/12⁠	–⁠1/24⁠
⁠5/3⁠	0

Table focusing on y = 15x² – 19x + 6

x	y
⁠3/5⁠	0
⁠19/30⁠	–⁠1/60⁠
⁠2/3⁠	0

Table focusing on y = 6x² – 25x + 25

x	y
⁠5/3⁠	0
⁠25/12⁠	–⁠25/24⁠
⁠5/2⁠	0

Table focusing on y = 25x² – 25x + 6

x	y
⁠2/5⁠	0
⁠1/2⁠	–⁠1/4⁠
⁠3/5⁠	0

Table focusing on y = 6x² – 19x + 10

x	y
⁠2/3⁠	0
⁠19/12⁠	–⁠121/24⁠
⁠5/2⁠	0

Table focusing on y = 10x² – 19x + 6

x	y
⁠2/5⁠	0
⁠19/20⁠	–⁠121/40⁠
⁠3/2⁠	0

Table focusing on y = 9x² – 21x + 10

x	y
⁠2/3⁠	0
⁠7/6⁠	–⁠9/4⁠
⁠5/3⁠	0

Table focusing on y = 10x² – 21x + 9

x	y
⁠3/5⁠	0
⁠21/20⁠	–⁠81/40⁠
⁠3/2⁠	0

Table focusing on y = 10x² – 31x + 15

x	y
⁠3/5⁠	0
⁠31/20⁠	–⁠361/40⁠
⁠5/2⁠	0

Table focusing on y = 15x² – 31x + 10

x	y
⁠2/5⁠	0
⁠31/30⁠	–⁠361/60⁠
⁠5/3⁠	0

Table focusing on y = 6x² – 13x + 6

x	y
⁠2/3⁠	0
⁠13/12⁠	–⁠25/24⁠
⁠3/2⁠	0

Table focusing on y = 10x² – 29x + 10

x	y
⁠2/5⁠	0
⁠29/20⁠	–⁠441/40⁠
⁠5/2⁠	0

Table focusing on y = 15x² – 34x + 15

x	y
⁠3/5⁠	0
⁠17/15⁠	–⁠64/15⁠
⁠5/3⁠	0

Tables containing information focusing on quadratic expressions and their forms, coefficients and minimum values

Table focusing on different forms of quadratic expressions

Quadratic expression	Vertex form	Factorized form
4x2 – 16x + 15	(2x – 4)2 – 1	(2x – 3)(2x – 5)
15x2 – 16x + 4	⁠(15x – 8)2 – 4/15⁠	(5x – 2)(3x – 2)
6x2 – 19x + 15	⁠(12x – 19)2 – 1/24⁠	(2x – 3)(3x – 5)
15x2 – 19x + 6	⁠(30x – 19)2 – 1/60⁠	(5x – 3)(3x – 2)
6x2 – 25x + 25	⁠(12x – 25)2 – 25/24⁠	(3x – 5)(2x – 5)
25x2 – 25x + 6	⁠(10x – 5)2 – 1/4⁠	(5x – 2)(5x – 3)
6x2 – 19x + 10	⁠(12x – 19)2 – 121/24⁠	(3x – 2)(2x – 5)
10x2 – 19x + 6	⁠(20x – 19)2 – 121/40⁠	(5x – 2)(2x – 3)
9x2 – 21x + 10	⁠(6x – 7)2 – 9/4⁠	(3x – 2)(3x – 5)
10x2 – 21x + 9	⁠(20x – 21)2 – 81/40⁠	(5x – 3)(2x – 3)
10x2 – 31x + 15	⁠(20x – 31)2 – 361/40⁠	(5x – 3)(2x – 5)
15x2 – 31x + 10	⁠(30x – 31)2 – 361/60⁠	(5x – 2)(3x – 5)
6x2 – 13x + 6	⁠(12x – 13)2 – 25/24⁠	(3x – 2)(2x – 3)
10x2 – 29x + 10	⁠(20x – 29)2 – 441/40⁠	(5x – 2)(2x – 5)
15x2 – 34x + 15	⁠(15x – 17)2 – 64/15⁠	(5x – 3)(3x – 5)

Table focusing on coefficients of quadratic expressions

Quadratic expression	a (x2-coefficient)	b (x-coefficient)	c (constant coefficient)
4x2 – 16x + 15	4	–16	15
15x2 – 16x + 4	15		4
6x2 – 19x + 15	6	–19	15
15x2 – 19x + 6	15		6
6x2 – 25x + 25	6	–25	25
25x2 – 25x + 6	25		6
6x2 – 19x + 10	6	–19	10
10x2 – 19x + 6	10		6
9x2 – 21x + 10	9	–21	10
10x2 – 21x + 9	10		9
10x2 – 31x + 15		–31	15
15x2 – 31x + 10	15		10
6x2 – 13x + 6	6	–13	6
10x2 – 29x + 10	10	–29	10
15x2 – 34x + 15	15	–34	15

Table focusing on minimum values of quadratic expressions

Quadratic expression	Minimum value
4x2 – 16x + 15	–1
15x2 – 16x + 4	–⁠4/15⁠
6x2 – 19x + 15	–⁠1/24⁠
15x2 – 19x + 6	–⁠1/60⁠
6x2 – 25x + 25	–⁠25/24⁠
25x2 – 25x + 6	–⁠1/4⁠
6x2 – 19x + 10	–⁠121/24⁠
10x2 – 19x + 6	–⁠121/40⁠
9x2 – 21x + 10	–⁠9/4⁠
10x2 – 21x + 9	–⁠81/40⁠
10x2 – 31x + 15	–⁠361/40⁠
15x2 – 31x + 10	–⁠361/60⁠
6x2 – 13x + 6	–⁠25/24⁠
10x2 – 29x + 10	–⁠441/40⁠
15x2 – 34x + 15	–⁠64/15⁠

Table focusing on the ability of quadratic expressions to be factorized and methods for checking/using them

Quadratic expression	Able to be factorized	Checking/usage date	Checked/used by
4x2 – 16x + 15	Yes	June 23, 2022 (2022-06-23) June 24, 2022 (2022-06-24) June 25, 2022 (2022-06-25) June 26, 2022 (2022-06-26) June 27, 2022 (2022-06-27) June 28, 2022 (2022-06-28)	Shadow (37 by age at that time)
15x2 – 16x + 4			Silver (35 by age at that time)
6x2 – 19x + 15			Mighty (37 by age at that time)
15x2 – 19x + 6			Sonic (36 by age at that time)
6x2 – 25x + 25			Ray (30 by age at that time)
25x2 – 25x + 6			Tails (29 by age at that time)
6x2 – 19x + 10			Mina (37 by age at that time)
10x2 – 19x + 6			Tikal (35 by age at that time)
9x2 – 21x + 10			Rouge (38 by age at that time)
10x2 – 21x + 9			Blaze (35 by age at that time)
10x2 – 31x + 15			Sally (36 by age at that time)
15x2 – 31x + 10			Marine (28 by age at that time)
6x2 – 13x + 6			Amy (32 by age at that time)
10x2 – 29x + 10			Tangle (35 by age at that time)
15x2 – 34x + 15			Knuckles (36 by age at that time)

Table focusing on b² and 4ac for quadratic expressions

Quadratic expression	b2	4ac	Difference (b2 – 4ac)
4x2 – 16x + 15	256	240	16 (which is a perfect square)
15x2 – 16x + 4
6x2 – 19x + 15	361	360	1 (which is a perfect square)
15x2 – 19x + 6
6x2 – 25x + 25	625	600	25 (which is a perfect square)
25x2 – 25x + 6
6x2 – 19x + 10	361	240	121 (which is a perfect square)
10x2 – 19x + 6
9x2 – 21x + 10	441	360	81 (which is a perfect square)
10x2 – 21x + 9
10x2 – 31x + 15	961	600	361 (which is a perfect square)
15x2 – 31x + 10
6x2 – 13x + 6	169	144	25 (which is a perfect square)
10x2 – 29x + 10	841	400	441 (which is a perfect square)
15x2 – 34x + 15	1,156	900	256 (which is a perfect square)

Table focusing on quadratic expressions changing

Quadratic expression	Decreasing for	Having a minimum stationary value at	Increasing for
4x2 – 16x + 15	x < 2	x = 2	x > 2
15x2 – 16x + 4	x < ⁠8/15⁠	x = ⁠8/15⁠	x > ⁠8/15⁠
6x2 – 19x + 15	x < ⁠19/12⁠	x = ⁠19/12⁠	x > ⁠19/12⁠
15x2 – 19x + 6	x < ⁠19/30⁠	x = ⁠19/30⁠	x > ⁠19/30⁠
6x2 – 25x + 25	x < ⁠25/12⁠	x = ⁠25/12⁠	x > ⁠25/12⁠
25x2 – 25x + 6	x < ⁠1/2⁠	x = ⁠1/2⁠	x > ⁠1/2⁠
6x2 – 19x + 10	x < ⁠19/12⁠	x = ⁠19/12⁠	x > ⁠19/12⁠
10x2 – 19x + 6	x < ⁠19/20⁠	x = ⁠19/20⁠	x > ⁠19/20⁠
9x2 – 21x + 10	x < ⁠7/6⁠	x = ⁠7/6⁠	x > ⁠7/6⁠
10x2 – 21x + 9	x < ⁠21/20⁠	x = ⁠21/20⁠	x > ⁠21/20⁠
10x2 – 31x + 15	x < ⁠31/20⁠	x = ⁠31/20⁠	x > ⁠31/20⁠
15x2 – 31x + 10	x < ⁠31/30⁠	x = ⁠31/30⁠	x > ⁠31/30⁠
6x2 – 13x + 6	x < ⁠13/12⁠	x = ⁠13/12⁠	x > ⁠13/12⁠
10x2 – 29x + 10	x < ⁠29/20⁠	x = ⁠29/20⁠	x > ⁠29/20⁠
15x2 – 34x + 15	x < ⁠17/15⁠	x = ⁠17/15⁠	x > ⁠17/15⁠

Table focusing on values of quadratic expressions

Quadratic expression	Negative for	Zero at	Positive for
4x2 – 16x + 15	⁠3/2⁠ < x < ⁠5/2⁠	x = ⁠3/2⁠ x = ⁠5/2⁠	x < ⁠3/2⁠ x > ⁠5/2⁠
15x2 – 16x + 4	⁠2/5⁠ < x < ⁠2/3⁠	x = ⁠2/5⁠ x = ⁠2/3⁠	x < ⁠2/5⁠ x > ⁠2/3⁠
6x2 – 19x + 15	⁠3/2⁠ < x < ⁠5/3⁠	x = ⁠3/2⁠ x = ⁠5/3⁠	x < ⁠3/2⁠ x > ⁠5/3⁠
15x2 – 19x + 6	⁠3/5⁠ < x < ⁠2/3⁠	x = ⁠3/5⁠ x = ⁠2/3⁠	x < ⁠3/5⁠ x > ⁠2/3⁠
6x2 – 25x + 25	⁠5/3⁠ < x < ⁠5/2⁠	x = ⁠5/3⁠ x = ⁠5/2⁠	x < ⁠5/3⁠ x > ⁠5/2⁠
25x2 – 25x + 6	⁠2/5⁠ < x < ⁠3/5⁠	x = ⁠2/5⁠ x = ⁠3/5⁠	x < ⁠2/5⁠ x > ⁠3/5⁠
6x2 – 19x + 10	⁠2/3⁠ < x < ⁠5/2⁠	x = ⁠2/3⁠ x = ⁠5/2⁠	x < ⁠2/3⁠ x > ⁠5/2⁠
10x2 – 19x + 6	⁠2/5⁠ < x < ⁠3/2⁠	x = ⁠2/5⁠ x = ⁠3/2⁠	x < ⁠2/5⁠ x > ⁠3/2⁠
9x2 – 21x + 10	⁠2/3⁠ < x < ⁠5/3⁠	x = ⁠2/3⁠ x = ⁠5/3⁠	x < ⁠2/3⁠ x > ⁠5/3⁠
10x2 – 21x + 9	⁠3/5⁠ < x < ⁠3/2⁠	x = ⁠3/5⁠ x = ⁠3/2⁠	x < ⁠3/5⁠ x > ⁠3/2⁠
10x2 – 31x + 15	⁠3/5⁠ < x < ⁠5/2⁠	x = ⁠3/5⁠ x = ⁠5/2⁠	x < ⁠3/5⁠ x > ⁠5/2⁠
15x2 – 31x + 10	⁠2/5⁠ < x < ⁠5/3⁠	x = ⁠2/5⁠ x = ⁠5/3⁠	x < ⁠2/5⁠ x > ⁠5/3⁠
6x2 – 13x + 6	⁠2/3⁠ < x < ⁠3/2⁠	x = ⁠2/3⁠ x = ⁠3/2⁠	x < ⁠2/3⁠ x > ⁠3/2⁠
10x2 – 29x + 10	⁠2/5⁠ < x < ⁠5/2⁠	x = ⁠2/5⁠ x = ⁠5/2⁠	x < ⁠2/5⁠ x > ⁠5/2⁠
15x2 – 34x + 15	⁠3/5⁠ < x < ⁠5/3⁠	x = ⁠3/5⁠ x = ⁠5/3⁠	x < ⁠3/5⁠ x > ⁠5/3⁠

Tables focusing on star design group seals and star flags

Table focusing on star design group seals

Design group seal name	Description	First adopted	First sold to the American market	First sold to the Japanese market	Units/copies sold
SS design pair seal	Japanese-American design pair seal containing or featuring Shadow and Silver as grown men	April 16, 2022 (2022-04-16)	April 23, 2022 (2022-04-23) April 30, 2022 (2022-04-30)		40+ million to American and Japanese markets in late June or early summer 2022
MSRT design quartet seal	Japanese-American design quartet seal containing or featuring Mighty, Sonic, Ray and Tails as grown men	April 17, 2022 (2022-04-17)	April 24, 2022 (2022-04-24) May 1, 2022 (2022-05-01)		40+ million to American and Japanese markets in late June or early summer 2022
KAT design group seal	Japanese-American design group seal containing or featuring Knuckles, Amy and Tangle as grown-ups	April 20, 2022 (2022-04-20)	April 27, 2022 (2022-04-27) May 4, 2022 (2022-05-04)		40+ million to American and Japanese markets in late June or early summer 2022
RBSM design quartet seal	Japanese-American design quartet seal containing or featuring Rouge, Blaze, Sally and Marine as grown women	April 23, 2022 (2022-04-23)	April 30, 2022 (2022-04-30) May 7, 2022 (2022-05-07)		40+ million to American and Japanese markets in late June or early summer 2022
MT design pair seal	Japanese-American design pair seal containing or featuring Mina and Tikal as grown women	April 24, 2022 (2022-04-24)	May 1, 2022 (2022-05-01) May 8, 2022 (2022-05-08)		40+ million to American and Japanese markets in late June or early summer 2022

Other table focusing on star design group seals

Design group seal name	Selling status
SS design group seal	Sold to American and Japanese markets since April 23, 2022 or maybe since April 30, 2022 Continuing to be sold to American and Japanese markets for many years in obedience to the announcement on June 8, 2022
MSRT design group seal	Sold to American and Japanese markets since April 24, 2022 or maybe since May 1, 2022 Continuing to be sold to American and Japanese markets for many years in obedience to the announcement on June 8, 2022
KAT design group seal	Sold to American and Japanese markets since April 27, 2022 or maybe since May 4, 2022 Continuing to be sold to American and Japanese markets for many years in obedience to the announcement on June 8, 2022
RBSM design group seal	Sold to American and Japanese markets since April 30, 2022 or maybe since May 7, 2022 Continuing to be sold to American and Japanese markets for many years in obedience to the announcement on June 8, 2022
MT design group seal	Sold to American and Japanese markets since May 1, 2022 or maybe since May 8, 2022 Continuing to be sold to American and Japanese markets for many years in obedience to the announcement on June 8, 2022

Table focusing on star flags

Flag name	Description	First adopted	First sold to the American market	First sold to the Japanese market	Units/copies sold	Height-to-width proportion	Width-to-height proportion
SS flag	Japanese-American flag containing the SS design pair seal or featuring Shadow and Silver as grown men	April 16, 2022 (2022-04-16)	April 23, 2022 (2022-04-23) April 30, 2022 (2022-04-30)		40+ million to American and Japanese markets in late June or early summer 2022	3 : 5 (0.6)	5 : 3 (1.6)
MSRT flag	Japanese-American flag containing the MSRT design quartet seal or featuring Mighty, Sonic, Ray and Tails as grown men	April 17, 2022 (2022-04-17)	April 24, 2022 (2022-04-24) May 1, 2022 (2022-05-01)		40+ million to American and Japanese markets in late June or early summer 2022
KAT flag	Japanese-American flag containing the KAT design group seal or featuring Knuckles, Amy and Tangle as grown-ups	April 20, 2022 (2022-04-20)	April 27, 2022 (2022-04-27) May 4, 2022 (2022-05-04)		40+ million to American and Japanese markets in late June or early summer 2022
RBSM flag	Japanese-American flag containing the RBSM design quartet seal or featuring Rouge, Blaze, Sally and Marine as grown women	April 23, 2022 (2022-04-23)	April 30, 2022 (2022-04-30) May 7, 2022 (2022-05-07)		40+ million to American and Japanese markets in late June or early summer 2022
MT flag	Japanese-American flag containing the MT design pair seal or featuring Mina and Tikal as grown women	April 24, 2022 (2022-04-24)	May 1, 2022 (2022-05-01) May 8, 2022 (2022-05-08)		40+ million to American and Japanese markets in late June or early summer 2022

Other table focusing on star flags

Flag name	Selling status
SS flag	Sold to American and Japanese markets since April 23, 2022 or maybe since April 30, 2022 Continuing to be sold to American and Japanese markets for many years in obedience to the announcement on June 8, 2022
MSRT flag	Sold to American and Japanese markets since April 24, 2022 or maybe since May 1, 2022 Continuing to be sold to American and Japanese markets for many years in obedience to the announcement on June 8, 2022
KAT flag	Sold to American and Japanese markets since April 27, 2022 or maybe since May 4, 2022 Continuing to be sold to American and Japanese markets for many years in obedience to the announcement on June 8, 2022
RBSM flag	Sold to American and Japanese markets since April 30, 2022 or maybe since May 7, 2022 Continuing to be sold to American and Japanese markets for many years in obedience to the announcement on June 8, 2022
MT flag	Sold to American and Japanese markets since May 1, 2022 or maybe since May 8, 2022 Continuing to be sold to American and Japanese markets for many years in obedience to the announcement on June 8, 2022

Japanese-American star groups

Table focusing on Japanese-American star groups

Star group name	Description	Created	Based in
Famous SS Pair	Famous Japanese-American male pair containing or featuring Shadow and Silver either as grown men or in the advanced stage	April 13, 2022 (2022-04-13)	United States Japan
Famous MSRT Quartet	Famous Japanese-American male quartet containing or featuring Mighty, Sonic, Ray and Tails either as grown men or in the advanced stage
Famous KAT Group	Famous Japanese-American group containing or featuring Knuckles, Amy and Tangle either as grown-ups or in the advanced stage
Famous RBSM Quartet	Famous Japanese-American female quartet containing or featuring Rouge, Blaze, Sally and Marine either as grown women or in the advanced stage
Famous MT Pair	Famous Japanese-American female pair containing or featuring Mina and Tikal either as grown women or in the advanced stage

American planes containing Japanese parts

Table focusing on American planes containing Japanese parts

Plane	Produced	First flight date	Mass (in tons)	Cost	Operators	Occupied by or containing	Capacity	Top speed
Big plane	April 13, 2022 (2022-04-13) in New York City	April 20, 2022 (2022-04-20) to Tokyo	8	USD$24 million	Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine		12 (Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine)	621 mph
Little plane			2	USD$6 million	Knuckles, Amy and Tangle		3 (Knuckles, Amy and Tangle)

Table focusing on American planes on their first flight to Tokyo on April 20, 2022, though produced in New York City a week earlier, on April 13, 2022

Plane	Height above/over the ground	Kinetic energy (in calories)	Gravitational potential energy (in calories)	Total mechanical energy (in calories)
Big plane	About 3.1 miles above/over the ground while on the first flight to Tokyo on April 20, 2022, though created in New York City a week earlier, on April 13, 2022, and occupied by or containing Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine	Nearly 73.8 million	About 151 million	Nearly 225 million
Little plane	About 1.2 miles above/over the ground while on the first flight to Tokyo on April 20, 2022, though created in New York City a week earlier, on April 13, 2022, and occupied by or containing Knuckles, Amy and Tangle	About 18.4 million	About 15.1 million	Nearly 33.6 million

Tables focusing on the United States and Japan

Table containing some late June or early summer 2022 analysis focusing on gender, age, urbanization and Internet usage

Country	Two-letter country code	Three-letter country code	Capital	Biggest and most populous city	Capital as the biggest and most populous city	Male population (2022)	Male population percentage (2022)	Female population (2022)	Female population percentage (2022)	Urban population (2022)	Urbanization rate (2022)	Rural population (2022)	Rural population percentage (2022)	Child population (2022)	Child population percentage (2022)	Adult population (2022)	Adult population percentage (2022)	Elderly population (2022)	Elderly population percentage (2022)	Median age (2022)	Population difference by gender (2022)	Gender proportion (2022)	Internet user population (2022)	Internet usage rate (2022)	Dependency proportion (2022)
United States	US	USA	Washington, D.C.	New York City	No	167.4 million	49.5%	170.4 million	50.5%	281.6 million	83.3%	56.3 million	16.7%	69.8 million	20.6%	210 million	62.1%	58.1 million	17.2%	40.4	3.1 million	0.982 (54 men to 55 women)	253.4 million	75%	0.609 (39 children and senior citizens to 64 adults)
Japan	JP	JPN	Tokyo		Yes	61.4 million	48.8%	64.4 million	51.2%	116.5 million	92.6%	9.3 million	7.4%	17.4 million	13.8%	69.9 million	55.6%	38.4 million	30.5%	49.2	3 million	0.954 (21 men to 22 women)	109.2 million	86.8%	0.797 (51 children and senior citizens to 64 adults)

Gender and age table (late June or early summer 2022)

Country	Male child population (2022)	Male child population percentage (2022)	Female child population (2022)	Female child population percentage (2022)	Male adult population (2022)	Male adult population percentage (2022)	Female adult population (2022)	Female adult population percentage (2022)	Male elderly population (2022)	Male elderly population percentage (2022)	Female elderly population (2022)	Female elderly population percentage (2022)	Child population difference (2022)	Adult population difference (2022)	Elderly population difference (2022)	Child gender proportion (2022)	Adult gender proportion (2022)	Elderly gender proportion (2022)	Male median age (2022)	Female median age (2022)	Median age difference (2022)	Male dependency proportion (2022)	Female dependency proportion (2022)
United States	36 million	10.7%	33.8 million	10%	105 million	31.1%	105 million	31.1%	26.4 million	7.8%	31.7 million	9.4%	2.2 million	40,000	5.3 million	1.07 (16 boys to 15 girls)	1 (one man to one woman)	0.833 (five men to six women)	40	40.8	0.8	0.594 (19 boys and elderly men to 32 men)	0.624 (five girls and elderly women to eight women)
Japan	9 million	7.1%	8.4 million	6.7%	35.9 million	28.6%	34 million	27.1%	16.5 million	13.1%	21.9 million	17.4%	560,000	1.8 million	5.5 million	1.07 (16 boys to 15 girls)	1.05 (21 men to 20 women)	0.75 (three men to four women)	48	50.4	2.4	0.709 (17 boys and elderly men to 24 men)	0.886 (31 girls and elderly women to 35 women)

Gender and urbanization table (late June or early summer 2022)

Country	Male urban population (2022)	Male urbanization rate (2022)	Female urban population (2022)	Female urbanization rate (2022)	Male rural population (2022)	Male rural population percentage (2022)	Female rural population (2022)	Female rural population percentage (2022)
United States	139.5 million	41.3%	142 million	42.1%	27.9 million	8.3%	28.4 million	8.4%
Japan	56.9 million	45.2%	59.6 million	47.4%	4.5 million	3.6%	4.8 million	3.8%

Gender and Internet usage table (late June or early summer 2022)

Country	Male Internet user population (2022)	Male Internet usage rate (2022)	Female Internet user population (2022)	Female Internet usage rate (2022)
United States	125.6 million	37.1%	127.8 million	37.9%
Japan	53.3 million	42.4%	55.9 million	44.4%

Age and urbanization table (late June or early summer 2022)

Country	Urban child population (2022)	Urban child population percentage (2022)	Rural child population (2022)	Rural child population percentage (2022)	Urban adult population (2022)	Urban adult population percentage (2022)	Rural adult population (2022)	Rural adult population percentage (2022)	Urban elderly population (2022)	Urban elderly population percentage (2022)	Rural elderly population (2022)	Rural elderly population percentage (2022)
United States	58.2 million	17.2%	11.6 million	3.4%	175 million	51.7%	35 million	10.3%	48.4 million	14.3%	9.7 million	2.9%
Japan	16.1 million	12.8%	1.3 million	1%	64.7 million	51.5%	5.2 million	4.1%	35.6 million	28.3%	2.8 million	2.3%

Age and Internet usage table (late June or early summer 2022)

Country	Child Internet user population (2022)	Child Internet usage rate (2022)	Adult Internet user population (2022)	Adult Internet usage rate (2022)	Elderly Internet user population (2022)	Elderly Internet usage rate (2022)
United States	52.3 million	15.5%	157.5 million	46.6%	43.6 million	12.9%
Japan	15.1 million	12%	60.8 million	48.3%	33.3 million	26.5%

Urbanization and Internet usage table (late June or early summer 2022)

Country	Urban Internet user population (2022)	Urban Internet usage rate (2022)	Rural Internet user population (2022)	Rural Internet usage rate (2022)
United States	211.2 million	62.5%	42.2 million	12.5%
Japan	101.1 million	80.4%	8.1 million	6.4%

Table containing some late June or early summer 2022 analysis focusing on income and debt

Country	Gross domestic product (2022)	Gross domestic product per capita (2022)	Gross national income (2022)	Gross national income per capita (2022)	Debt (2022)	Debt per capita (2022)	Flow of money (2022)	Flow of money per capita (2022)	Debt-to-GDP proportion (2022)	Debt-to-GNI proportion (2022)
United States	USD$24.5 trillion	USD$72,500	USD$25.3 trillion	USD$74,900	USD$33.6 trillion	USD$99,500	USD$816 billion	USD$2,400	1.4	1.3
Japan	USD$5.5 trillion	USD$43,700	USD$5.7 trillion	USD$45,300	USD$13.7 trillion	USD$109,000	USD$184 billion	USD$1,500	2.5	2.4

Top-anthro-star-or-personality list

Table focusing on the top-anthro-star-or-personality list

List name	Description	First produced	Update status	Monthly update count	Yearly update count	Countries of availability	Age status (Japanese-American stars/personalities)
Top-anthro-star-or-personality list	Licensed list containing or featuring Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as top anthro stars or personalities, AKA most famous anthro citizens	April 13, 2022 (2022-04-13) in the United States and Japan	Receiving live Wednesday and weekend updates indefinitely starting on April 16, 2022	12 to 14 live Wednesday and weekend updates every month starting in May 2022	156 or 157 live Wednesday and weekend updates every year starting in May 2022	United States Japan	Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal getting older in later versions

Table focusing on top-anthro-star-or-personality list versions

Version	Release date	Description
Version 1.0	April 13, 2022 (2022-04-13)	First version featuring Shadow at age 37, Silver at age 35, Mighty at age 37, Sonic at age 36, Ray at age 30, Tails at age 29, Knuckles at age 36, Amy at age 32, Tangle at age 35, Rouge at age 38, Blaze at age 35, Sally at age 36, Marine at age 28, Mina at age 37 and Tikal at age 35
Version 2.0	April 12, 2023 (2023-04-12)	157th version featuring Shadow at age 38, Silver at age 36, Mighty near age 38, Sonic near age 37, Ray at age 31, Tails at age 30, Knuckles near age 37, Amy near age 33, Tangle near age 36, Rouge at age 39, Blaze at age 36, Sally at age 37, Marine at age 29, Mina at age 38 and Tikal at age 36
Version 3.0	April 17, 2024 (2024-04-17)	316th version featuring Shadow at age 39, Silver at age 37, Mighty at age 39, Sonic at age 38, Ray at age 32, Tails at age 31, Knuckles at age 38, Amy at age 34, Tangle at age 37, Rouge at age 40, Blaze at age 37, Sally at age 38, Marine at age 30, Mina at age 39 and Tikal at age 37
Version 4.0	April 16, 2025 (2025-04-16)	472nd version scheduled to feature Shadow at age 40, Silver at age 38, Mighty at age 40, Sonic at age 39, Ray at age 33, Tails at age 32, Knuckles at age 39, Amy at age 35, Tangle at age 38, Rouge at age 41, Blaze at age 38, Sally at age 39, Marine at age 31, Mina at age 40 and Tikal at age 38
Version 5.0	April 15, 2026 (2026-04-15)	628th version scheduled to feature Shadow at age 41, Silver at age 49, Mighty at age 41, Sonic at age 40, Ray at age 34, Tails at age 33, Knuckles at age 40, Amy at age 36, Tangle at age 39, Rouge at age 42, Blaze at age 39, Sally at age 40, Marine at age 32, Mina at age 41 and Tikal at age 39
Version 6.0	April 14, 2027 (2027-04-14)	784th version scheduled to feature Shadow at age 42, Silver at age 40, Mighty at age 42, Sonic at age 41, Ray at age 35, Tails at age 34, Knuckles at age 41, Amy at age 37, Tangle at age 40, Rouge at age 43, Blaze at age 40, Sally at age 41, Marine at age 33, Mina at age 42 and Tikal at age 40
Version 7.0	April 12, 2028 (2028-04-12)	940th version scheduled to feature Shadow at age 43, Silver at age 41, Mighty near age 43, Sonic near age 42, Ray at age 36, Tails at age 35, Knuckles near age 42, Amy near age 38, Tangle near age 41, Rouge at age 44, Blaze at age 41, Sally at age 42, Marine at age 34, Mina at age 43 and Tikal at age 41
Version 8.0	April 11, 2029 (2029-04-11)	1,096th version scheduled to feature Shadow at age 44, Silver at age 42, Mighty near age 44, Sonic near age 43, Ray at age 37, Tails at age 36, Knuckles near age 43, Amy near age 39, Tangle near age 42, Rouge at age 45, Blaze at age 42, Sally at age 43, Marine at age 35, Mina at age 44 and Tikal at age 42
Version 9.0	April 17, 2030 (2030-04-17)	1,255th version scheduled to feature Shadow at age 45, Silver at age 43, Mighty at age 45, Sonic at age 44, Ray at age 38, Tails at age 37, Knuckles at age 44, Amy at age 40, Tangle at age 43, Rouge at age 46, Blaze at age 43, Sally at age 44, Marine at age 36, Mina at age 45 and Tikal at age 43
Version 10.0	April 16, 2031 (2031-04-16)	1,411th version scheduled to feature Shadow at age 46, Silver at age 44, Mighty at age 46, Sonic at age 45, Ray at age 39, Tails at age 38, Knuckles at age 45, Amy at age 41, Tangle at age 44, Rouge at age 47, Blaze at age 44, Sally at age 45, Marine at age 37, Mina at age 46 and Tikal at age 44
Version 11.0	April 14, 2032 (2032-04-14)	1,567th version scheduled to feature Shadow at age 47, Silver at age 45, Mighty at age 47, Sonic at age 46, Ray at age 40, Tails at age 39, Knuckles at age 46, Amy at age 42, Tangle at age 45, Rouge at age 48, Blaze at age 45, Sally at age 46, Marine at age 38, Mina at age 47 and Tikal at age 45
Version 12.0	April 13, 2033 (2033-04-13)	1,723rd version and 11th anniversary version scheduled to feature Shadow at age 48, Silver at age 46, Mighty at age 48, Sonic at age 47, Ray at age 41, Tails at age 40, Knuckles at age 47, Amy at age 43, Tangle at age 46, Rouge at age 49, Blaze at age 46, Sally at age 47, Marine at age 39, Mina at age 48 and Tikal at age 46
Version 13.0	April 12, 2034 (2034-04-12)	1,879th version scheduled to feature Shadow at age 49, Silver at age 47, Mighty near age 49, Sonic near age 48, Ray at age 42, Tails at age 41, Knuckles near age 48, Amy near age 44, Tangle near age 47, Rouge at age 50, Blaze at age 47, Sally at age 48, Marine at age 40, Mina at age 49 and Tikal at age 47
Version 14.0	April 11, 2035 (2035-04-11)	2,035th version scheduled to feature Shadow at age 50, Silver at age 48, Mighty near age 50, Sonic near age 49, Ray at age 43, Tails at age 42, Knuckles near age 49, Amy near age 45, Tangle near age 48, Rouge at age 51, Blaze at age 48, Sally at age 49, Marine at age 41, Mina at age 50 and Tikal at age 48
Version 15.0	April 16, 2036 (2036-04-16)	2,194th version scheduled to feature Shadow at age 51, Silver at age 49, Mighty at age 51, Sonic at age 50, Ray at age 44, Tails at age 43, Knuckles at age 50, Amy at age 46, Tangle at age 49, Rouge at age 52, Blaze at age 49, Sally at age 50, Marine at age 42, Mina at age 51 and Tikal at age 49
Version 16.0	April 15, 2037 (2037-04-15)	2,350th version scheduled to feature Shadow at age 52, Silver at age 50, Mighty at age 52, Sonic at age 51, Ray at age 45, Tails at age 44, Knuckles at age 51, Amy at age 47, Tangle at age 50, Rouge at age 53, Blaze at age 50, Sally at age 51, Marine at age 43, Mina at age 52 and Tikal at age 50
Version 17.0	April 14, 2038 (2038-04-14)	2,506th version scheduled to feature Shadow at age 53, Silver at age 51, Mighty at age 53, Sonic at age 52, Ray at age 46, Tails at age 45, Knuckles at age 52, Amy at age 48, Tangle at age 51, Rouge at age 54, Blaze at age 51, Sally at age 52, Marine at age 44, Mina at age 53 and Tikal at age 51
Version 18.0	April 13, 2039 (2039-04-13)	2,662nd version and 17th anniversary version scheduled to feature Shadow at age 54, Silver at age 52, Mighty at age 54, Sonic at age 53, Ray at age 47, Tails at age 46, Knuckles at age 53, Amy at age 49, Tangle at age 52, Rouge at age 55, Blaze at age 52, Sally at age 53, Marine at age 45, Mina at age 54 and Tikal at age 52
Version 19.0	April 11, 2040 (2040-04-11)	2,818th version scheduled to feature Shadow at age 55, Silver at age 53, Mighty near age 55, Sonic near age 54, Ray at age 48, Tails at age 47, Knuckles near age 54, Amy near age 50, Tangle near age 53, Rouge at age 56, Blaze at age 53, Sally at age 54, Marine at age 46, Mina at age 55 and Tikal at age 53
Version 20.0	April 17, 2041 (2041-04-17)	2,977th version scheduled to feature Shadow at age 56, Silver at age 54, Mighty at age 56, Sonic at age 55, Ray at age 49, Tails at age 48, Knuckles at age 55, Amy at age 51, Tangle at age 54, Rouge at age 57, Blaze at age 54, Sally at age 55, Marine at age 47, Mina at age 56 and Tikal at age 54
Version 21.0	April 16, 2042 (2042-04-16)	3,133rd version scheduled to feature Shadow at age 57, Silver at age 55, Mighty at age 57, Sonic at age 56, Ray at age 50, Tails at age 49, Knuckles at age 56, Amy at age 52, Tangle at age 55, Rouge at age 58, Blaze at age 55, Sally at age 56, Marine at age 48, Mina at age 57 and Tikal at age 55
Version 22.0	April 15, 2043 (2043-04-15)	3,289th version scheduled to feature Shadow at age 58, Silver at age 56, Mighty at age 58, Sonic at age 57, Ray at age 51, Tails at age 50, Knuckles at age 57, Amy at age 53, Tangle at age 56, Rouge at age 59, Blaze at age 56, Sally at age 57, Marine at age 49, Mina at age 58 and Tikal at age 56
Version 23.0	April 13, 2044 (2044-04-13)	3,445th version and 22nd anniversary version scheduled to feature Shadow at age 59, Silver at age 57, Mighty at age 59, Sonic at age 58, Ray at age 52, Tails at age 51, Knuckles at age 58, Amy at age 54, Tangle at age 57, Rouge at age 60, Blaze at age 57, Sally at age 58, Marine at age 50, Mina at age 59 and Tikal at age 57
Version 24.0	April 12, 2045 (2045-04-12)	3,601st version scheduled to feature Shadow at age 60, Silver at age 58, Mighty near age 60, Sonic near age 59, Ray at age 53, Tails at age 52, Knuckles near age 59, Amy near age 55, Tangle near age 58, Rouge at age 61, Blaze at age 58, Sally at age 59, Marine at age 51, Mina at age 60 and Tikal at age 58
Version 25.0	April 11, 2046 (2046-04-11)	3,757th version scheduled to feature Shadow at age 61, Silver at age 59, Mighty near age 61, Sonic near age 60, Ray at age 54, Tails at age 53, Knuckles near age 60, Amy near age 56, Tangle near age 59, Rouge at age 62, Blaze at age 59, Sally at age 60, Marine at age 52, Mina at age 61 and Tikal at age 59

Lookalikes of Japanese-American stars/personalities

Tables focusing on lookalike capacities of Japanese-American stars/personalities in the United States and Japan

Star/personality name	Lookalike population	% of lookalikes as OCs	% of lookalikes as canonical characters
Shadow	About three and a half million in the United States and Japan	0%	100%
Silver	Nearly three and a half million in the United States and Japan
Mighty	About 3.4 million in the United States and Japan
Sonic	Nearly 3.4 million in the United States and Japan
Ray	About 3.3 million in the United States and Japan
Tails	Nearly 3.3 million in the United States and Japan
Knuckles	About 3.2 million in the United States and Japan
Amy	Nearly 3.2 million in the United States and Japan
Tangle	About 3.1 million in the United States and Japan
Rouge	Nearly 3.1 million in the United States and Japan
Blaze	About three million in the United States and Japan
Sally	Nearly three million million in the United States and Japan
Marine	About 2.9 million in the United States and Japan
Mina	Nearly 2.9 million in the United States and Japan
Tikal	About 2.8 million in the United States and Japan

Gameplay

Table focusing on highest scores acquired by Japanese-American stars or personalities

Star/personality name	Total score	Life count	Difficulty size	Stages	Total time taken	Date submitted	Age upon finishing the whole game
Shadow	28.2 million	290	Very very hard	1-35 (incl. secret stages)	1 day	May 7, 2022 (2022-05-07)	37
Silver	28 million					May 8, 2022 (2022-05-08)	35
Mighty	27.9 million					May 11, 2022 (2022-05-11)	37
Sonic	27.7 million					May 14, 2022 (2022-05-14)	36
Ray	27.6 million					May 15, 2022 (2022-05-15)	30
Tails	27.4 million					May 18, 2022 (2022-05-18)	29
Knuckles	27.3 million	280				May 21, 2022 (2022-05-21)	36
Amy	27.1 million					May 22, 2022 (2022-05-22)	32
Tangle	27 million					May 25, 2022 (2022-05-25)	35
Rouge	26.8 million					May 28, 2022 (2022-05-28)	38
Blaze	26.7 million					May 29, 2022 (2022-05-29)	35
Sally	26.5 million					June 1, 2022 (2022-06-01)	36
Marine	26.4 million					June 4, 2022 (2022-06-04)	28
Mina	26.2 million	270				June 5, 2022 (2022-06-05)	37
Tikal	26.1 million					June 8, 2022 (2022-06-08)	35

Table focusing on gameplay lengths of Japanese-American stars/personalities

Star/personality name	Gameplay start date	Gameplay end date	Gameplay duration
Shadow	April 13, 2022 (2022-04-13)	May 7, 2022 (2022-05-07)	24 days
Silver	April 16, 2022 (2022-04-16)	May 8, 2022 (2022-05-08)	22 days
Mighty	April 17, 2022 (2022-04-17)	May 11, 2022 (2022-05-11)	24 days
Sonic	April 20, 2022 (2022-04-20)	May 14, 2022 (2022-05-14)
Ray	April 23, 2022 (2022-04-23)	May 15, 2022 (2022-05-15)	22 days
Tails	April 24, 2022 (2022-04-24)	May 18, 2022 (2022-05-18)	24 days
Knuckles	April 27, 2022 (2022-04-27)	May 21, 2022 (2022-05-21)
Amy	April 30, 2022 (2022-04-30)	May 22, 2022 (2022-05-22)	22 days
Tangle	May 1, 2022 (2022-05-01)	May 25, 2022 (2022-05-25)	24 days
Rouge	May 4, 2022 (2022-05-04)	May 28, 2022 (2022-05-28)
Blaze	May 7, 2022 (2022-05-07)	May 29, 2022 (2022-05-29)	22 days
Sally	May 8, 2022 (2022-05-08)	June 1, 2022 (2022-06-01)	24 days
Marine	May 11, 2022 (2022-05-11)	June 4, 2022 (2022-06-04)
Mina	May 14, 2022 (2022-05-14)	June 5, 2022 (2022-06-05)	22 days
Tikal	May 15, 2022 (2022-05-15)	June 8, 2022 (2022-06-08)	24 days

Daily live workout goal tables

Daily live workout goal table one

Star/personality	Date of first daily live workout goal attained	Date of second daily live workout goal attained	Date of fifth daily live workout goal attained	Date of tenth daily live workout goal attained	Date of 25th daily live workout goal attained	Date of 50th daily live workout goal attained	Date of 100th daily live workout goal attained	Date of 250th daily live workout goal attained	Date of 500th daily live workout goal attained	Date of 1,000th daily live workout goal scheduled to be attained	Date of 2,000th daily live workout goal scheduled to be attained	Date of 5,000th daily live workout goal scheduled to be attained	Date of 10,000th daily live workout goal scheduled to be attained
Shadow	April 13, 2022 (2022-04-13)	April 14, 2022 (2022-04-14)	April 17, 2022 (2022-04-17)	April 22, 2022 (2022-04-22)	May 7, 2022 (2022-05-07)	June 1, 2022 (2022-06-01)	July 21, 2022 (2022-07-21)	December 18, 2022 (2022-12-18)	August 25, 2023 (2023-08-25)	January 6, 2025 (2025-01-06)	October 3, 2027 (2027-10-03)	December 20, 2035 (2035-12-20)	August 28, 2049 (2049-08-28)
Silver
Mighty
Sonic
Ray
Tails
Knuckles
Amy
Tangle
Rouge
Blaze
Sally
Marine
Mina
Tikal

Daily live workout goal table two

Star/personality	Age upon attaining the first daily live workout goal	Age upon attaining the second daily live workout goal	Age upon attaining the fifth daily live workout goal	Age upon attaining the tenth daily live workout goal	Age upon attaining the 25th daily live workout goal	Age upon attaining the 50th daily live workout goal	Age upon attaining the 100th daily live workout goal	Age upon attaining the 250th daily live workout goal	Age upon attaining the 500th daily live workout goal	Age upon being scheduled to attain the 1,000th daily live workout goal	Age upon being scheduled to attain the 2,000th daily live workout goal	Age upon being scheduled to attain the 5,000th daily live workout goal	Age upon being scheduled to attain the 10,000th daily live workout goal
Shadow	37								38	39	42	50	64
Silver	35								36	37	40	48	62
Mighty	37								38	39	42	50	64
Sonic	36								37	38	41	49	63
Ray	30								31	32	35	43	57
Tails	29								30	31	34	42	56
Knuckles	36								37	38	41	49	63
Amy	32								33	34	37	45	59
Tangle	35								36	37	40	48	62
Rouge	38								39	40	43	51	65
Blaze	35								36	37	40	48	62
Sally	36								37	38	41	49	63
Marine	28								29	30	33	41	55
Mina	37								38	39	42	50	64
Tikal	35								36	37	40	48	62

Daily live workout goal table three

Star/personality	Date of one daily live workout goal attained so far	Date of two daily live workout goals attained so far	Date of five daily live workout goals attained so far	Date of ten daily live workout goals attained so far	Date of 25 daily live workout goals attained so far	Date of 50 daily live workout goals attained so far	Date of 100 daily live workout goals attained so far	Date of 250 daily live workout goals attained so far	Date of 500 daily live workout goals attained so far	Date of 1,000 daily live workout goals scheduled to be attained so far	Date of 2,000 daily live workout goals scheduled to be attained so far	Date of 5,000 daily live workout goals scheduled to be attained so far	Date of 10,000 daily live workout goals scheduled to be attained so far
Shadow	April 13, 2022 (2022-04-13)	April 14, 2022 (2022-04-14)	April 17, 2022 (2022-04-17)	April 22, 2022 (2022-04-22)	May 7, 2022 (2022-05-07)	June 1, 2022 (2022-06-01)	July 21, 2022 (2022-07-21)	December 18, 2022 (2022-12-18)	August 25, 2023 (2023-08-25)	January 6, 2025 (2025-01-06)	October 3, 2027 (2027-10-03)	December 20, 2035 (2035-12-20)	August 28, 2049 (2049-08-28)
Silver
Mighty
Sonic
Ray
Tails
Knuckles
Amy
Tangle
Rouge
Blaze
Sally
Marine
Mina
Tikal

Daily live workout goal table four

Star/personality	Age upon attaining one daily live workout goal so far	Age upon attaining two daily live workout goals so far	Age upon attaining five daily live workout goals so far	Age upon attaining ten daily live workout goals so far	Age upon attaining 25 daily live workout goals so far	Age upon attaining 50 daily live workout goals so far	Age upon attaining 100 daily live workout goals so far	Age upon attaining 250 daily live workout goals so far	Age upon attaining 500 daily live workout goals so far	Age upon being scheduled to attain 1,000 daily live workout goals so far	Age upon being scheduled to attain 2,000 daily live workout goals so far	Age upon being scheduled to attain 5,000 daily live workout goals so far	Age upon being scheduled to attain 10,000 daily live workout goals so far
Shadow	37								38	39	42	50	64
Silver	35								36	37	40	48	62
Mighty	37								38	39	42	50	64
Sonic	36								37	38	41	49	63
Ray	30								31	32	35	43	57
Tails	29								30	31	34	42	56
Knuckles	36								37	38	41	49	63
Amy	32								33	34	37	45	59
Tangle	35								36	37	40	48	62
Rouge	38								39	40	43	51	65
Blaze	35								36	37	40	48	62
Sally	36								37	38	41	49	63
Marine	28								29	30	33	41	55
Mina	37								38	39	42	50	64
Tikal	35								36	37	40	48	62

Live meeting or tour event tables

Live meeting or tour event table one

Star/personality	Date of appearance in some first live events of licensed Japanese-American live star meetings/tours	Date of appearance in some second live events of licensed Japanese-American live star meetings/tours	Date of appearance in some fifth live events of licensed Japanese-American live star meetings/tours	Date of appearance in some tenth live events of licensed Japanese-American live star meetings/tours	Date of appearance in some 25th live events of licensed Japanese-American live star meetings/tours	Date of appearance in some 50th live events of licensed Japanese-American live star meetings/tours	Date of appearance in some 100th live events of licensed Japanese-American live star meetings/tours	Date of appearance in some 250th live events of licensed Japanese-American live star meetings/tours	Date of appearance in some 500th live events of licensed Japanese-American live star meetings/tours	Date of appearance in some 1,000th live events of licensed Japanese-American live star meetings/tours	Date of appearance in some 2,000th live events of licensed Japanese-American live star meetings/tours	Date of appearance in some 5,000th live events of licensed Japanese-American live star meetings/tours
Shadow	April 13, 2022 (2022-04-13)	April 16, 2022 (2022-04-16)	April 23, 2022 (2022-04-23)	May 4, 2022 (2022-05-04)	June 8, 2022 (2022-06-08)	August 6, 2022 (2022-08-06)	November 30, 2022 (2022-11-30)	November 15, 2023 (2023-11-15)	June 21, 2025 (2025-06-21)	August 30, 2028 (2028-08-30)	January 20, 2035 (2035-01-20)	March 21, 2054 (2054-03-21)
Silver
Mighty
Sonic
Ray
Tails
Knuckles
Amy
Tangle
Rouge
Blaze
Sally
Marine
Mina
Tikal

Live meeting or tour event table two

Star/personality	Age upon appearance in some first live events of licensed Japanese-American live star meetings/tours	Age upon appearance in some second live events of licensed Japanese-American live star meetings/tours	Age upon appearance in some fifth live events of licensed Japanese-American live star meetings/tours	Age upon appearance in some tenth live events of licensed Japanese-American live star meetings/tours	Age upon appearance in some 25th live events of licensed Japanese-American live star meetings/tours	Age upon appearance in some 50th live events of licensed Japanese-American live star meetings/tours	Age upon appearance in some 100th live events of licensed Japanese-American live star meetings/tours	Age upon appearance in some 250th live events of licensed Japanese-American live star meetings/tours	Age upon appearance in some 500th live events of licensed Japanese-American live star meetings/tours	Age upon appearance in some 1,000th live events of licensed Japanese-American live star meetings/tours	Age upon appearance in some 2,000th live events of licensed Japanese-American live star meetings/tours	Age upon appearance in some 5,000th live events of licensed Japanese-American live star meetings/tours
Shadow	37							38	40	43	49	68
Silver	35							36	38	41	47	66
Mighty	37							38	40	43	49	68
Sonic	36							37	39	42	48	67
Ray	30							31	33	36	42	61
Tails	29							30	32	35	41	60
Knuckles	36							37	39	42	48	67
Amy	32							33	35	38	44	63
Tangle	35							36	38	41	47	66
Rouge	38							39	41	44	50	69
Blaze	35							36	38	41	47	66
Sally	36							37	39	42	48	67
Marine	28							29	31	34	40	59
Mina	37							38	40	43	49	68
Tikal	35							36	38	41	47	66

Live meeting or tour event table three

Star/personality	Date of appearance in one live event so far of some licensed Japanese-American live star meetings/tours	Date of appearance in two live events so far of some licensed Japanese-American live star meetings/tours	Date of appearance in five live events so far of some licensed Japanese-American live star meetings/tours	Date of appearance in ten live events so far of some licensed Japanese-American live star meetings/tours	Date of appearance in 25 live events so far of some licensed Japanese-American live star meetings/tours	Date of appearance in 50 live events so far of some licensed Japanese-American live star meetings/tours	Date of appearance in 100 live events so far of some licensed Japanese-American live star meetings/tours	Date of appearance in 250 live events so far of some licensed Japanese-American live star meetings/tours	Date of appearance in 500 live events so far of some licensed Japanese-American live star meetings/tours	Date of appearance in 1,000 live events so far of some licensed Japanese-American live star meetings/tours	Date of appearance in 2,000 live events so far of some licensed Japanese-American live star meetings/tours	Date of appearance in 5,000 live events so far of some licensed Japanese-American live star meetings/tours
Shadow	April 13, 2022 (2022-04-13)	April 16, 2022 (2022-04-16)	April 23, 2022 (2022-04-23)	May 4, 2022 (2022-05-04)	June 8, 2022 (2022-06-08)	August 6, 2022 (2022-08-06)	November 30, 2022 (2022-11-30)	November 15, 2023 (2023-11-15)	June 21, 2025 (2025-06-21)	August 30, 2028 (2028-08-30)	January 20, 2035 (2035-01-20)	March 21, 2054 (2054-03-21)
Silver
Mighty
Sonic
Ray
Tails
Knuckles
Amy
Tangle
Rouge
Blaze
Sally
Marine
Mina
Tikal

Live meeting or tour event table four

Star/personality	Age upon appearance in one live event so far of some licensed Japanese-American live star meetings/tours	Age upon appearance in two live events so far of some licensed Japanese-American live star meetings/tours	Age upon appearance in five live events so far of some licensed Japanese-American live star meetings/tours	Age upon appearance in ten live events so far of some licensed Japanese-American live star meetings/tours	Age upon appearance in 25 live events so far of some licensed Japanese-American live star meetings/tours	Age upon appearance in 50 live events so far of some licensed Japanese-American live star meetings/tours	Age upon appearance in 100 live events so far of some licensed Japanese-American live star meetings/tours	Age upon appearance in 250 live events so far of some licensed Japanese-American live star meetings/tours	Age upon appearance in 500 live events so far of some licensed Japanese-American live star meetings/tours	Age upon appearance in 1,000 live events so far of some licensed Japanese-American live star meetings/tours	Age upon appearance in 2,000 live events so far of some licensed Japanese-American live star meetings/tours	Age upon appearance in 5,000 live events so far of some licensed Japanese-American live star meetings/tours
Shadow	37							38	40	43	49	68
Silver	35							36	38	41	47	66
Mighty	37							38	40	43	49	68
Sonic	36							37	39	42	48	67
Ray	30							31	33	36	42	61
Tails	29							30	32	35	41	60
Knuckles	36							37	39	42	48	67
Amy	32							33	35	38	44	63
Tangle	35							36	38	41	47	66
Rouge	38							39	41	44	50	69
Blaze	35							36	38	41	47	66
Sally	36							37	39	42	48	67
Marine	28							29	31	34	40	59
Mina	37							38	40	43	49	68
Tikal	35							36	38	41	47	66

Live documentary episode tables

Live documentary episode table one

Star/personality	Date of appearance in some first episodes of licensed Japanese-American live star documentaries	Date of appearance in some second episodes of licensed Japanese-American live star documentaries	Date of appearance in some fifth episodes of licensed Japanese-American live star documentaries	Date of appearance in some tenth episodes of licensed Japanese-American live star documentaries	Date of appearance in some 25th episodes of licensed Japanese-American live star documentaries	Date of appearance in some 50th episodes of licensed Japanese-American live star documentaries	Date of appearance in some 100th episodes of licensed Japanese-American live star documentaries	Date of appearance in some 250th episodes of licensed Japanese-American live star documentaries	Date of appearance in some 500th episodes of licensed Japanese-American live star documentaries	Date of appearance in some 1,000th episodes of licensed Japanese-American live star documentaries	Date of appearance in some 2,000th episodes of licensed Japanese-American live star documentaries	Date of appearance in some 5,000th episodes of licensed Japanese-American live star documentaries
Shadow	April 13, 2022 (2022-04-13)	April 16, 2022 (2022-04-16)	April 23, 2022 (2022-04-23)	May 4, 2022 (2022-05-04)	June 8, 2022 (2022-06-08)	August 6, 2022 (2022-08-06)	November 30, 2022 (2022-11-30)	November 15, 2023 (2023-11-15)	June 21, 2025 (2025-06-21)	August 30, 2028 (2028-08-30)	January 20, 2035 (2035-01-20)	March 21, 2054 (2054-03-21)
Silver
Mighty
Sonic
Ray
Tails
Knuckles
Amy
Tangle
Rouge
Blaze
Sally
Marine
Mina
Tikal

Live documentary episode table two

Star/personality	Age upon appearance in some first episodes of licensed Japanese-American live star documentaries	Age upon appearance in some second episodes of licensed Japanese-American live star documentaries	Age upon appearance in some fifth episodes of licensed Japanese-American live star documentaries	Age upon appearance in some tenth episodes of licensed Japanese-American live star documentaries	Age upon appearance in some 25th episodes of licensed Japanese-American live star documentaries	Age upon appearance in some 50th episodes of licensed Japanese-American live star documentaries	Age upon appearance in some 100th episodes of licensed Japanese-American live star documentaries	Age upon appearance in some 250th episodes of licensed Japanese-American live star documentaries	Age upon appearance in some 500th episodes of licensed Japanese-American live star documentaries	Age upon appearance in some 1,000th episodes of licensed Japanese-American live star documentaries	Age upon appearance in some 2,000th episodes of licensed Japanese-American live star documentaries	Age upon appearance in some 5,000th episodes of licensed Japanese-American live star documentaries
Shadow	37							38	40	43	49	68
Silver	35							36	38	41	47	66
Mighty	37							38	40	43	49	68
Sonic	36							37	39	42	48	67
Ray	30							31	33	36	42	61
Tails	29							30	32	35	41	60
Knuckles	36							37	39	42	48	67
Amy	32							33	35	38	44	63
Tangle	35							36	38	41	47	66
Rouge	38							39	41	44	50	69
Blaze	35							36	38	41	47	66
Sally	36							37	39	42	48	67
Marine	28							29	31	34	40	59
Mina	37							38	40	43	49	68
Tikal	35							36	38	41	47	66

Live documentary episode table three

Star/personality	Date of appearance in one episode so far of some licensed Japanese-American live star documentaries	Date of appearance in two episodes so far of some licensed Japanese-American live star documentaries	Date of appearance in five episodes so far of some licensed Japanese-American live star documentaries	Date of appearance in ten episodes so far of some licensed Japanese-American live star documentaries	Date of appearance in 25 episodes so far of some licensed Japanese-American live star documentaries	Date of appearance in 50 episodes so far of some licensed Japanese-American live star documentaries	Date of appearance in 100 episodes so far of some licensed Japanese-American live star documentaries	Date of appearance in 250 episodes so far of some licensed Japanese-American live star documentaries	Date of appearance in 500 episodes so far of some licensed Japanese-American live star documentaries	Date of appearance in 1,000 episodes so far of some licensed Japanese-American live star documentaries	Date of appearance in 2,000 episodes so far of some licensed Japanese-American live star documentaries	Date of appearance in 5,000 episodes so far of some licensed Japanese-American live star documentaries
Shadow	April 13, 2022 (2022-04-13)	April 16, 2022 (2022-04-16)	April 23, 2022 (2022-04-23)	May 4, 2022 (2022-05-04)	June 8, 2022 (2022-06-08)	August 6, 2022 (2022-08-06)	November 30, 2022 (2022-11-30)	November 15, 2023 (2023-11-15)	June 21, 2025 (2025-06-21)	August 30, 2028 (2028-08-30)	January 20, 2035 (2035-01-20)	March 21, 2054 (2054-03-21)
Silver
Mighty
Sonic
Ray
Tails
Knuckles
Amy
Tangle
Rouge
Blaze
Sally
Marine
Mina
Tikal

Live documentary episode table four

Star/personality	Age upon appearance in one episode so far of some licensed Japanese-American live star documentaries	Age upon appearance in two episodes so far of some licensed Japanese-American live star documentaries	Age upon appearance in five episodes so far of some licensed Japanese-American live star documentaries	Age upon appearance in ten episodes so far of some licensed Japanese-American live star documentaries	Age upon appearance in 25 episodes so far of some licensed Japanese-American live star documentaries	Age upon appearance in 50 episodes so far of some licensed Japanese-American live star documentaries	Age upon appearance in 100 episodes so far of some licensed Japanese-American live star documentaries	Age upon appearance in 250 episodes so far of some licensed Japanese-American live star documentaries	Age upon appearance in 500 episodes so far of some licensed Japanese-American live star documentaries	Age upon appearance in 1,000 episodes so far of some licensed Japanese-American live star documentaries	Age upon appearance in 2,000 episodes so far of some licensed Japanese-American live star documentaries	Age upon appearance in 5,000 episodes so far of some licensed Japanese-American live star documentaries
Shadow	37							38	40	43	49	68
Silver	35							36	38	41	47	66
Mighty	37							38	40	43	49	68
Sonic	36							37	39	42	48	67
Ray	30							31	33	36	42	61
Tails	29							30	32	35	41	60
Knuckles	36							37	39	42	48	67
Amy	32							33	35	38	44	63
Tangle	35							36	38	41	47	66
Rouge	38							39	41	44	50	69
Blaze	35							36	38	41	47	66
Sally	36							37	39	42	48	67
Marine	28							29	31	34	40	59
Mina	37							38	40	43	49	68
Tikal	35							36	38	41	47	66

Live Star Workout Battle tables

Live Star Workout Battle table one

Battle name	Description	Inauguration date	Capacity (regular live events held per battle)	Capacity (live bonus events held per battle)	Period (regular live battle events)	Period (live bonus battle events)	Age status (Japanese-American stars)
Live Japan-United States Star Workout Battle	Licensed Japanese-American annual live star workout battle featuring Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal indefinitely as Japanese-American stars everywhere in multiple American and Japanese cities or urban areas on Wednesdays and weekends	April 13, 2022 (2022-04-13)	25 regular live workout battle events held per battle occurring every year	Two live bonus workout battle events held per battle occurring every year	Wednesdays and weekends ranging between the second or third Wednesday in April and the first or second Wednesday in June every year	Second or third Saturday and second or third Sunday in June every year	Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal getting older in later live workout battle events

Live Star Workout Battle table two

Battle edition	Description	Count of regular live events	Count of live bonus events	First regular live event date	Final regular live event date	Live bonus event date	Other live bonus event date
Live Japan-United States Star Workout Battle 2022	First Live Japan-United States Star Workout Battle edition featuring Shadow at age 37, Silver at age 35, Mighty at age 37, Sonic at age 36, Ray at age 30, Tails at age 29, Knuckles at age 36, Amy at age 32, Tangle at age 35, Rouge at age 38, Blaze at age 35, Sally at age 36, Marine at age 28, Mina at age 37 and Tikal at age 35	25 regular live workout battle events (live workout battle events #1-25)	Two live bonus workout battle events (first and second live bonus workout battle events)	April 13, 2022 (2022-04-13)	June 8, 2022 (2022-06-08)	June 11, 2022 (2022-06-11)	June 12, 2022 (2022-06-12)
Live Japan-United States Star Workout Battle 2023	Second Live Japan-United States Star Workout Battle edition featuring Shadow at age 38, Silver at age 36, Mighty at age 38, Sonic at age 37, Ray at age 31, Tails at age 30, Knuckles at age 37, Amy at age 33, Tangle at age 36, Rouge at age 39, Blaze at age 36, Sally at age 37, Marine at age 29, Mina at age 38 and Tikal at age 36	25 regular live workout battle events (live workout battle events #26-50)	Two live bonus workout battle events (third and fourth live bonus workout battle events)	April 12, 2023 (2023-04-12)	June 7, 2023 (2023-06-07)	June 10, 2023 (2023-06-10)	June 11, 2023 (2023-06-11)
Live Japan-United States Star Workout Battle 2024	Third Live Japan-United States Star Workout Battle edition featuring Shadow at age 39, Silver at age 37, Mighty at age 39, Sonic at age 38, Ray at age 32, Tails at age 31, Knuckles at age 38, Amy at age 34, Tangle at age 37, Rouge at age 40, Blaze at age 37, Sally at age 38, Marine at age 30, Mina at age 39 and Tikal at age 37	25 regular live workout battle events (live workout battle events #51-75)	Two live bonus workout battle events (fifth and sixth live bonus workout battle events)	April 17, 2024 (2024-04-17)	June 12, 2024 (2024-06-12)	June 15, 2024 (2024-06-15)	June 16, 2024 (2024-06-16)
Live Japan-United States Star Workout Battle 2025	Fourth Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 40, Silver at age 38, Mighty at age 40, Sonic at age 39, Ray at age 33, Tails at age 32, Knuckles at age 39, Amy at age 35, Tangle at age 38, Rouge at age 41, Blaze at age 38, Sally at age 39, Marine at age 31, Mina at age 40 and Tikal at age 38	25 regular live workout battle events (live workout battle events #76-100)	Two live bonus workout battle events (seventh and eighth live bonus workout battle events)	April 16, 2025 (2025-04-16)	June 11, 2025 (2025-06-11)	June 14, 2025 (2025-06-14)	June 15, 2025 (2025-06-15)
Live Japan-United States Star Workout Battle 2026	Fifth Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 41, Silver at age 39, Mighty at age 41, Sonic at age 40, Ray at age 34, Tails at age 33, Knuckles at age 40, Amy at age 36, Tangle at age 39, Rouge at age 42, Blaze at age 39, Sally at age 40, Marine at age 32, Mina at age 41 and Tikal at age 39	25 regular live workout battle events (live workout battle events #101-125)	Two live bonus workout battle events (ninth and tenth live workout battle bonus events)	April 15, 2026 (2026-04-15)	June 10, 2026 (2026-06-10)	June 13, 2026 (2026-06-13)	June 14, 2026 (2026-06-14)
Live Japan-United States Star Workout Battle 2027	Sixth Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 42, Silver at age 40, Mighty at age 42, Sonic at age 41, Ray at age 35, Tails at age 34, Knuckles at age 41, Amy at age 37, Tangle at age 40, Rouge at age 43, Blaze at age 40, Sally at age 41, Marine at age 33, Mina at age 42 and Tikal at age 40	25 regular live workout battle events (live workout battle events #126-150)	Two live bonus workout battle events (11th and 12th live bonus workout battle events)	April 14, 2027 (2027-04-14)	June 9, 2027 (2027-06-09)	June 12, 2027 (2027-06-12)	June 13, 2027 (2027-06-13)
Live Japan-United States Star Workout Battle 2028	Seventh Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 43, Silver at age 41, Mighty at age 43, Sonic at age 42, Ray at age 36, Tails at age 35, Knuckles at age 42, Amy at age 38, Tangle at age 41, Rouge at age 44, Blaze at age 41, Sally at age 42, Marine at age 34, Mina at age 43 and Tikal at age 41	25 regular live workout battle events (live workout battle events #151-175)	Two live bonus workout battle events (13th and 14th live bonus workout battle events)	April 12, 2028 (2028-04-12)	June 7, 2028 (2028-06-07)	June 10, 2028 (2028-06-10)	June 11, 2028 (2028-06-11)
Live Japan-United States Star Workout Battle 2029	Eighth Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 44, Silver at age 42, Mighty at age 44, Sonic at age 43, Ray at age 37, Tails at age 36, Knuckles at age 43, Amy at age 39, Tangle at age 42, Rouge at age 45, Blaze at age 42, Sally at age 43, Marine at age 35, Mina at age 44 and Tikal at age 42	25 regular live workout battle events (live workout battle events #176-200)	Two live bonus workout battle events (15th and 16th live bonus workout battle events)	April 11, 2029 (2029-04-11)	June 6, 2029 (2029-06-06)	June 9, 2029 (2029-06-09)	June 10, 2029 (2029-06-10)
Live Japan-United States Star Workout Battle 2030	Ninth Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 45, Silver at age 43, Mighty at age 45, Sonic at age 44, Ray at age 38, Tails at age 37, Knuckles at age 44, Amy at age 40, Tangle at age 43, Rouge at age 46, Blaze at age 43, Sally at age 44, Marine at age 36, Mina at age 45 and Tikal at age 43	25 regular live workout battle events (live workout battle events #201-225)	Two live bonus workout battle events (17th and 18th live bonus workout battle events)	April 17, 2030 (2030-04-17)	June 12, 2030 (2030-06-12)	June 15, 2030 (2030-06-15)	June 16, 2030 (2030-06-16)
Live Japan-United States Star Workout Battle 2031	Tenth Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 46, Silver at age 44, Mighty at age 46, Sonic at age 45, Ray at age 39, Tails at age 38, Knuckles at age 45, Amy at age 41, Tangle at age 44, Rouge at age 47, Blaze at age 44, Sally at age 45, Marine at age 37, Mina at age 46 and Tikal at age 44	25 regular live workout battle events (live workout battle events #226-250)	Two live bonus workout battle events (19th and 20th live bonus workout battle events)	April 16, 2031 (2031-04-16)	June 11, 2031 (2031-06-11)	June 14, 2031 (2031-06-14)	June 15, 2031 (2031-06-15)
Live Japan-United States Star Workout Battle 2032	11th Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 47, Silver at age 45, Mighty at age 47, Sonic at age 46, Ray at age 40, Tails at age 39, Knuckles at age 46, Amy at age 42, Tangle at age 45, Rouge at age 48, Blaze at age 45, Sally at age 46, Marine at age 38, Mina at age 47 and Tikal at age 45	25 regular live workout battle events (live workout battle events #251-275)	Two live bonus workout battle events (21st and 22nd live bonus workout battle events)	April 14, 2032 (2032-04-14)	June 9, 2032 (2032-06-09)	June 12, 2032 (2032-06-12)	June 13, 2032 (2032-06-13)
Live Japan-United States Star Workout Battle 2033	12th Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 48, Silver at age 46, Mighty at age 48, Sonic at age 47, Ray at age 41, Tails at age 40, Knuckles at age 47, Amy at age 43, Tangle at age 46, Rouge at age 49, Blaze at age 46, Sally at age 47, Marine at age 39, Mina at age 48 and Tikal at age 46	25 regular live workout battle events (live workout battle events #276-300)	Two live bonus workout battle events (23rd and 24th live bonus workout battle events)	April 13, 2033 (2033-04-13)	June 8, 2033 (2033-06-08)	June 11, 2033 (2033-06-11)	June 12, 2033 (2033-06-12)
Live Japan-United States Star Workout Battle 2034	13th Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 49, Silver at age 47, Mighty at age 49, Sonic at age 48, Ray at age 42, Tails at age 41, Knuckles at age 48, Amy at age 44, Tangle at age 47, Rouge at age 50, Blaze at age 47, Sally at age 48, Marine at age 40, Mina at age 49 and Tikal at age 47	25 regular live workout battle events (live workout battle events #301-325)	Two live bonus workout battle events (25th and 26th live bonus workout battle events)	April 12, 2034 (2034-04-12)	June 7, 2034 (2034-06-07)	June 10, 2034 (2034-06-10)	June 11, 2034 (2034-06-11)
Live Japan-United States Star Workout Battle 2035	14th Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 50, Silver at age 48, Mighty at age 50, Sonic at age 49, Ray at age 43, Tails at age 42, Knuckles at age 49, Amy at age 45, Tangle at age 48, Rouge at age 51, Blaze at age 48, Sally at age 49, Marine at age 41, Mina at age 50 and Tikal at age 48	25 regular live workout battle events (live workout battle events #326-350)	Two live bonus workout battle events (27th and 28th live bonus workout battle events)	April 11, 2035 (2035-04-11)	June 6, 2035 (2035-06-06)	June 9, 2035 (2035-06-09)	June 10, 2035 (2035-06-10)
Live Japan-United States Star Workout Battle 2036	15th Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 51, Silver at age 49, Mighty at age 51, Sonic at age 50, Ray at age 44, Tails at age 43, Knuckles at age 50, Amy at age 46, Tangle at age 49, Rouge at age 52, Blaze at age 49, Sally at age 50, Marine at age 42, Mina at age 51 and Tikal at age 49	25 regular live workout battle events (live workout battle events #351-375)	Two live bonus workout battle events (29th and 30th live bonus workout battle events)	April 16, 2036 (2036-04-16)	June 11, 2036 (2036-06-11)	June 14, 2036 (2036-06-14)	June 15, 2036 (2036-06-15)
Live Japan-United States Star Workout Battle 2037	16th Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 52, Silver at age 50, Mighty at age 52, Sonic at age 51, Ray at age 45, Tails at age 44, Knuckles at age 51, Amy at age 47, Tangle at age 50, Rouge at age 53, Blaze at age 50, Sally at age 51, Marine at age 43, Mina at age 52 and Tikal at age 50	25 regular live workout battle events (live workout battle events #376-400)	Two live bonus workout battle events (31st and 32nd live bonus workout battle events)	April 15, 2037 (2037-04-15)	June 10, 2037 (2037-06-10)	June 13, 2037 (2037-06-13)	June 14, 2037 (2037-06-14)
Live Japan-United States Star Workout Battle 2038	17th Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 53, Silver at age 51, Mighty at age 53, Sonic at age 52, Ray at age 46, Tails at age 45, Knuckles at age 52, Amy at age 48, Tangle at age 51, Rouge at age 54, Blaze at age 51, Sally at age 52, Marine at age 44, Mina at age 53 and Tikal at age 51	25 regular live workout battle events (live workout battle events #401-425)	Two live bonus workout battle events (33rd and 34th live bonus workout battle events)	April 14, 2038 (2038-04-14)	June 9, 2038 (2038-06-09)	June 12, 2038 (2038-06-12)	June 13, 2038 (2038-06-13)
Live Japan-United States Star Workout Battle 2039	18th Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 54, Silver at age 52, Mighty at age 54, Sonic at age 53, Ray at age 47, Tails at age 46, Knuckles at age 53, Amy at age 49, Tangle at age 52, Rouge at age 55, Blaze at age 52, Sally at age 53, Marine at age 45, Mina at age 54 and Tikal at age 52	25 regular live workout battle events (live workout battle events #426-450)	Two live bonus workout battle events (35th and 36th live bonus workout battle events)	April 13, 2039 (2039-04-13)	June 8, 2039 (2039-06-08)	June 11, 2039 (2039-06-11)	June 12, 2039 (2039-06-12)
Live Japan-United States Star Workout Battle 2040	19th Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 55, Silver at age 53, Mighty at age 55, Sonic at age 54, Ray at age 48, Tails at age 47, Knuckles at age 54, Amy at age 50, Tangle at age 53, Rouge at age 56, Blaze at age 53, Sally at age 54, Marine at age 46, Mina at age 55 and Tikal at age 53	25 regular live workout battle events (live workout battle events #451-475)	Two live bonus workout battle events (37th and 38th live bonus workout battle events)	April 11, 2040 (2040-04-11)	June 6, 2040 (2040-06-06)	June 9, 2040 (2040-06-09)	June 10, 2040 (2040-06-10)
Live Japan-United States Star Workout Battle 2041	20th Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 56, Silver at age 54, Mighty at age 56, Sonic at age 55, Ray at age 49, Tails at age 48, Knuckles at age 55, Amy at age 51, Tangle at age 54, Rouge at age 57, Blaze at age 54, Sally at age 55, Marine at age 47, Mina at age 56 and Tikal at age 54	25 regular live workout battle events (live workout battle events #476-500)	Two live bonus workout battle events (39th and 40th live bonus workout battle events)	April 17, 2041 (2041-04-17)	June 12, 2041 (2041-06-12)	June 15, 2041 (2041-06-15)	June 16, 2041 (2041-06-16)
Live Japan-United States Star Workout Battle 2042	21st Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 57, Silver at age 55, Mighty at age 57, Sonic at age 56, Ray at age 50, Tails at age 49, Knuckles at age 56, Amy at age 52, Tangle at age 55, Rouge at age 58, Blaze at age 55, Sally at age 56, Marine at age 48, Mina at age 57 and Tikal at age 55	25 regular live workout battle events (live workout battle events #501-525)	Two live bonus workout battle events (41st and 42nd live bonus workout battle events)	April 16, 2042 (2042-04-16)	June 11, 2042 (2042-06-11)	June 14, 2042 (2042-06-14)	June 15, 2042 (2042-06-15)
Live Japan-United States Star Workout Battle 2043	22nd Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 58, Silver at age 56, Mighty at age 58, Sonic at age 57, Ray at age 51, Tails at age 50, Knuckles at age 57, Amy at age 53, Tangle at age 56, Rouge at age 59, Blaze at age 56, Sally at age 57, Marine at age 49, Mina at age 58 and Tikal at age 56	25 regular live workout battle events (live workout battle events #526-550)	Two live bonus workout battle events (43rd and 44th live bonus workout battle events)	April 15, 2043 (2043-04-15)	June 10, 2043 (2043-06-10)	June 13, 2043 (2043-06-13)	June 14, 2043 (2043-06-14)
Live Japan-United States Star Workout Battle 2044	23rd Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 59, Silver at age 57, Mighty at age 59, Sonic at age 58, Ray at age 52, Tails at age 51, Knuckles at age 58, Amy at age 54, Tangle at age 57, Rouge at age 60, Blaze at age 57, Sally at age 58, Marine at age 50, Mina at age 59 and Tikal at age 57	25 regular live workout battle events (live workout battle events #551-575)	Two live bonus workout battle events (45th and 46th live bonus workout battle events)	April 13, 2044 (2044-04-13)	June 8, 2044 (2044-06-08)	June 11, 2044 (2044-06-11)	June 12, 2044 (2044-06-12)
Live Japan-United States Star Workout Battle 2045	24th Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 60, Silver at age 58, Mighty at age 60, Sonic at age 59, Ray at age 53, Tails at age 52, Knuckles at age 59, Amy at age 55, Tangle at age 58, Rouge at age 61, Blaze at age 58, Sally at age 59, Marine at age 51, Mina at age 60 and Tikal at age 58	25 regular live workout battle events (live workout battle events #576-600)	Two live bonus workout battle events (47th and 48th live bonus workout battle events)	April 12, 2045 (2045-04-12)	June 7, 2045 (2045-06-07)	June 10, 2045 (2045-06-10)	June 11, 2045 (2045-06-11)
Live Japan-United States Star Workout Battle 2046	25th Live Japan-United States Star Workout Battle edition scheduled to feature Shadow at age 61, Silver at age 59, Mighty at age 61, Sonic at age 60, Ray at age 54, Tails at age 53, Knuckles at age 60, Amy at age 56, Tangle at age 59, Rouge at age 62, Blaze at age 59, Sally at age 60, Marine at age 52, Mina at age 61 and Tikal at age 59	25 regular live workout battle events (live workout battle events #601-625)	Two live bonus workout battle events (49th and 50th live bonus workout battle events)	April 11, 2046 (2046-04-11)	June 6, 2046 (2046-06-06)	June 9, 2046 (2046-06-09)	June 10, 2046 (2046-06-10)

Live Star Media and Entertainment Contest tables

Live Star Media and Entertainment Contest table one

Contest name	Description	Inauguration date	Capacity (regular live events held per contest)	Capacity (live bonus events held per contest)	Period (regular live contest events)	Period (live bonus contest events)	Age status (Japanese-American stars)
Live Japan-United States Star Media and Entertainment Contest	Licensed Japanese-American annual live star media and entertainment contest featuring Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal indefinitely as Japanese-American stars everywhere in multiple American and Japanese cities or urban areas on Wednesdays and weekends	April 13, 2022 (2022-04-13)	25 regular live media and entertainment contest events held per contest occurring every year	Two live bonus media and entertainment contest events held per contest occurring every year	Wednesdays and weekends ranging between the second or third Wednesday in April and the first or second Wednesday in June every year	Second or third Saturday and second or third Sunday in June every year	Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal getting older in later live media and entertainment contest events

Live Star Media and Entertainment Contest table two

Contest edition	Description	Count of regular live events	Count of live bonus events	First regular live event date	Final regular live event date	Live bonus event date	Other live bonus event date
Live Japan-United States Star Media and Entertainment Contest 2022	First Live Japan-United States Star Media and Entertainment Contest edition featuring Shadow at age 37, Silver at age 35, Mighty at age 37, Sonic at age 36, Ray at age 30, Tails at age 29, Knuckles at age 36, Amy at age 32, Tangle at age 35, Rouge at age 38, Blaze at age 35, Sally at age 36, Marine at age 28, Mina at age 37 and Tikal at age 35	25 regular live media and entertainment contest events (live media and entertainment contest events #1-25)	Two live bonus media and entertainment contest events (first and second live bonus media and entertainment contest events)	April 13, 2022 (2022-04-13)	June 8, 2022 (2022-06-08)	June 11, 2022 (2022-06-11)	June 12, 2022 (2022-06-12)
Live Japan-United States Star Media and Entertainment Contest 2023	Second Live Japan-United States Star Media and Entertainment Contest edition featuring Shadow at age 38, Silver at age 36, Mighty at age 38, Sonic at age 37, Ray at age 31, Tails at age 30, Knuckles at age 37, Amy at age 33, Tangle at age 36, Rouge at age 39, Blaze at age 36, Sally at age 37, Marine at age 29, Mina at age 38 and Tikal at age 36	25 regular live media and entertainment contest events (live media and entertainment contest events #26-50)	Two live bonus media and entertainment contest events (third and fourth live bonus media and entertainment contest events)	April 12, 2023 (2023-04-12)	June 7, 2023 (2023-06-07)	June 10, 2023 (2023-06-10)	June 11, 2023 (2023-06-11)
Live Japan-United States Star Media and Entertainment Contest 2024	Third Live Japan-United States Star Media and Entertainment Contest edition featuring Shadow at age 39, Silver at age 37, Mighty at age 39, Sonic at age 38, Ray at age 32, Tails at age 31, Knuckles at age 38, Amy at age 34, Tangle at age 37, Rouge at age 40, Blaze at age 37, Sally at age 38, Marine at age 30, Mina at age 39 and Tikal at age 37	25 regular live media and entertainment contest events (live media and entertainment contest events #51-75)	Two live bonus media and entertainment contest events (fifth and sixth live bonus media and entertainment contest events)	April 17, 2024 (2024-04-17)	June 12, 2024 (2024-06-12)	June 15, 2024 (2024-06-15)	June 16, 2024 (2024-06-16)
Live Japan-United States Star Media and Entertainment Contest 2025	Fourth Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 40, Silver at age 38, Mighty at age 40, Sonic at age 39, Ray at age 33, Tails at age 32, Knuckles at age 39, Amy at age 35, Tangle at age 38, Rouge at age 41, Blaze at age 38, Sally at age 39, Marine at age 31, Mina at age 40 and Tikal at age 38	25 regular live media and entertainment contest events (live media and entertainment contest events #76-100)	Two live bonus media and entertainment contest events (seventh and eighth live bonus media and entertainment contest events)	April 16, 2025 (2025-04-16)	June 11, 2025 (2025-06-11)	June 14, 2025 (2025-06-14)	June 15, 2025 (2025-06-15)
Live Japan-United States Star Media and Entertainment Contest 2026	Fifth Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 41, Silver at age 39, Mighty at age 41, Sonic at age 40, Ray at age 34, Tails at age 33, Knuckles at age 40, Amy at age 36, Tangle at age 39, Rouge at age 42, Blaze at age 39, Sally at age 40, Marine at age 32, Mina at age 41 and Tikal at age 39	25 regular live media and entertainment contest events (live media and entertainment contest events #101-125)	Two live bonus media and entertainment contest events (ninth and tenth live bonus media and entertainment contest events)	April 15, 2026 (2026-04-15)	June 10, 2026 (2026-06-10)	June 13, 2026 (2026-06-13)	June 14, 2026 (2026-06-14)
Live Japan-United States Star Media and Entertainment Contest 2027	Sixth Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 42, Silver at age 40, Mighty at age 42, Sonic at age 41, Ray at age 35, Tails at age 34, Knuckles at age 41, Amy at age 37, Tangle at age 40, Rouge at age 43, Blaze at age 40, Sally at age 41, Marine at age 33, Mina at age 42 and Tikal at age 40	25 regular live media and entertainment contest events (live media and entertainment contest events #126-150)	Two live bonus media and entertainment contest events (11th and 12th live bonus media and entertainment contest events)	April 14, 2027 (2027-04-14)	June 9, 2027 (2027-06-09)	June 12, 2027 (2027-06-12)	June 13, 2027 (2027-06-13)
Live Japan-United States Star Media and Entertainment Contest 2028	Seventh Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 43, Silver at age 41, Mighty at age 43, Sonic at age 42, Ray at age 36, Tails at age 35, Knuckles at age 42, Amy at age 38, Tangle at age 41, Rouge at age 44, Blaze at age 41, Sally at age 42, Marine at age 34, Mina at age 43 and Tikal at age 41	25 regular live media and entertainment contest events (live media and entertainment contest events #151-175)	Two live bonus media and entertainment contest events (13th and 14th live bonus media and entertainment contest events)	April 12, 2028 (2028-04-12)	June 7, 2028 (2028-06-07)	June 10, 2028 (2028-06-10)	June 11, 2028 (2028-06-11)
Live Japan-United States Star Media and Entertainment Contest 2029	Eighth Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 44, Silver at age 42, Mighty at age 44, Sonic at age 43, Ray at age 37, Tails at age 36, Knuckles at age 43, Amy at age 39, Tangle at age 42, Rouge at age 45, Blaze at age 42, Sally at age 43, Marine at age 35, Mina at age 44 and Tikal at age 42	25 regular live media and entertainment contest events (live media and entertainment contest events #176-200)	Two live bonus media and entertainment contest events (15th and 16th live bonus media and entertainment contest events)	April 11, 2029 (2029-04-11)	June 6, 2029 (2029-06-06)	June 9, 2029 (2029-06-09)	June 10, 2029 (2029-06-10)
Live Japan-United States Star Media and Entertainment Contest 2030	Ninth Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 45, Silver at age 43, Mighty at age 45, Sonic at age 44, Ray at age 38, Tails at age 37, Knuckles at age 44, Amy at age 40, Tangle at age 43, Rouge at age 46, Blaze at age 43, Sally at age 44, Marine at age 36, Mina at age 45 and Tikal at age 43	25 regular live media and entertainment contest events (live media and entertainment contest events #201-225)	Two live bonus media and entertainment contest events (17th and 18th live bonus media and entertainment contest events)	April 17, 2030 (2030-04-17)	June 12, 2030 (2030-06-12)	June 15, 2030 (2030-06-15)	June 16, 2030 (2030-06-16)
Live Japan-United States Star Media and Entertainment Contest 2031	Tenth Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 46, Silver at age 44, Mighty at age 46, Sonic at age 45, Ray at age 39, Tails at age 38, Knuckles at age 45, Amy at age 41, Tangle at age 44, Rouge at age 47, Blaze at age 44, Sally at age 45, Marine at age 37, Mina at age 46 and Tikal at age 44	25 regular live media and entertainment contest events (live media and entertainment contest events #226-250)	Two live bonus media and entertainment contest events (19th and 20th live bonus media and entertainment contest events)	April 16, 2031 (2031-04-16)	June 11, 2031 (2031-06-11)	June 14, 2031 (2031-06-14)	June 15, 2031 (2031-06-15)
Live Japan-United States Star Media and Entertainment Contest 2032	11th Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 47, Silver at age 45, Mighty at age 47, Sonic at age 46, Ray at age 40, Tails at age 39, Knuckles at age 46, Amy at age 42, Tangle at age 45, Rouge at age 48, Blaze at age 45, Sally at age 46, Marine at age 38, Mina at age 47 and Tikal at age 45	25 regular live media and entertainment contest events (live media and entertainment contest events #251-275)	Two live bonus media and entertainment contest events (21st and 22nd live bonus media and entertainment contest events)	April 14, 2032 (2032-04-14)	June 9, 2032 (2032-06-09)	June 12, 2032 (2032-06-12)	June 13, 2032 (2032-06-13)
Live Japan-United States Star Media and Entertainment Contest 2033	12th Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 48, Silver at age 46, Mighty at age 48, Sonic at age 47, Ray at age 41, Tails at age 40, Knuckles at age 47, Amy at age 43, Tangle at age 46, Rouge at age 49, Blaze at age 46, Sally at age 47, Marine at age 39, Mina at age 48 and Tikal at age 46	25 regular live media and entertainment contest events (live media and entertainment contest events #276-300)	Two live bonus media and entertainment contest events (23rd and 24th live bonus media and entertainment contest events)	April 13, 2033 (2033-04-13)	June 8, 2033 (2033-06-08)	June 11, 2033 (2033-06-11)	June 12, 2033 (2033-06-12)
Live Japan-United States Star Media and Entertainment Contest 2034	13th Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 49, Silver at age 47, Mighty at age 49, Sonic at age 48, Ray at age 42, Tails at age 41, Knuckles at age 48, Amy at age 44, Tangle at age 47, Rouge at age 50, Blaze at age 47, Sally at age 48, Marine at age 40, Mina at age 49 and Tikal at age 47	25 regular live media and entertainment contest events (live media and entertainment contest events #301-325)	Two live bonus media and entertainment contest events (25th and 26th live bonus media and entertainment contest events)	April 12, 2034 (2034-04-12)	June 7, 2034 (2034-06-07)	June 10, 2034 (2034-06-10)	June 11, 2034 (2034-06-11)
Live Japan-United States Star Media and Entertainment Contest 2035	14th Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 50, Silver at age 48, Mighty at age 50, Sonic at age 49, Ray at age 43, Tails at age 42, Knuckles at age 49, Amy at age 45, Tangle at age 48, Rouge at age 51, Blaze at age 48, Sally at age 49, Marine at age 41, Mina at age 50 and Tikal at age 48	25 regular live media and entertainment contest events (live media and entertainment contest events #326-350)	Two live bonus media and entertainment contest events (27th and 28th live bonus media and entertainment contest events)	April 11, 2035 (2035-04-11)	June 6, 2035 (2035-06-06)	June 9, 2035 (2035-06-09)	June 10, 2035 (2035-06-10)
Live Japan-United States Star Media and Entertainment Contest 2036	15th Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 51, Silver at age 49, Mighty at age 51, Sonic at age 50, Ray at age 44, Tails at age 43, Knuckles at age 50, Amy at age 46, Tangle at age 49, Rouge at age 52, Blaze at age 49, Sally at age 50, Marine at age 42, Mina at age 51 and Tikal at age 49	25 regular live media and entertainment contest events (live media and entertainment contest events #351-375)	Two live bonus media and entertainment contest events (29th and 30th live bonus media and entertainment contest events)	April 16, 2036 (2036-04-16)	June 11, 2036 (2036-06-11)	June 14, 2036 (2036-06-14)	June 15, 2036 (2036-06-15)
Live Japan-United States Star Media and Entertainment Contest 2037	16th Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 52, Silver at age 50, Mighty at age 52, Sonic at age 51, Ray at age 45, Tails at age 44, Knuckles at age 51, Amy at age 47, Tangle at age 50, Rouge at age 53, Blaze at age 50, Sally at age 51, Marine at age 43, Mina at age 52 and Tikal at age 50	25 regular live media and entertainment contest events (live media and entertainment contest events #376-400)	Two live bonus media and entertainment contest events (31st and 32nd live bonus media and entertainment contest events)	April 15, 2037 (2037-04-15)	June 10, 2037 (2037-06-10)	June 13, 2037 (2037-06-13)	June 14, 2037 (2037-06-14)
Live Japan-United States Star Media and Entertainment Contest 2038	17th Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 53, Silver at age 51, Mighty at age 53, Sonic at age 52, Ray at age 46, Tails at age 45, Knuckles at age 52, Amy at age 48, Tangle at age 51, Rouge at age 54, Blaze at age 51, Sally at age 52, Marine at age 44, Mina at age 53 and Tikal at age 51	25 regular live media and entertainment contest events (live media and entertainment contest events #401-425)	Two live bonus media and entertainment contest events (33rd and 34th live bonus media and entertainment contest events)	April 14, 2038 (2038-04-14)	June 9, 2038 (2038-06-09)	June 12, 2038 (2038-06-12)	June 13, 2038 (2038-06-13)
Live Japan-United States Star Media and Entertainment Contest 2039	18th Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 54, Silver at age 52, Mighty at age 54, Sonic at age 53, Ray at age 47, Tails at age 46, Knuckles at age 53, Amy at age 49, Tangle at age 52, Rouge at age 55, Blaze at age 52, Sally at age 53, Marine at age 45, Mina at age 54 and Tikal at age 52	25 regular live media and entertainment contest events (live media and entertainment contest events #426-450)	Two live bonus media and entertainment contest events (35th and 36th live bonus media and entertainment contest events)	April 13, 2039 (2039-04-13)	June 8, 2039 (2039-06-08)	June 11, 2039 (2039-06-11)	June 12, 2039 (2039-06-12)
Live Japan-United States Star Media and Entertainment Contest 2040	19th Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 55, Silver at age 53, Mighty at age 55, Sonic at age 54, Ray at age 48, Tails at age 47, Knuckles at age 54, Amy at age 50, Tangle at age 53, Rouge at age 56, Blaze at age 53, Sally at age 54, Marine at age 46, Mina at age 55 and Tikal at age 53	25 regular live media and entertainment contest events (live media and entertainment contest events #451-475)	Two live bonus media and entertainment contest events (37th and 38th live bonus media and entertainment contest events)	April 11, 2040 (2040-04-11)	June 6, 2040 (2040-06-06)	June 9, 2040 (2040-06-09)	June 10, 2040 (2040-06-10)
Live Japan-United States Star Media and Entertainment Contest 2041	20th Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 56, Silver at age 54, Mighty at age 56, Sonic at age 55, Ray at age 49, Tails at age 48, Knuckles at age 55, Amy at age 51, Tangle at age 54, Rouge at age 57, Blaze at age 54, Sally at age 55, Marine at age 47, Mina at age 56 and Tikal at age 54	25 regular live media and entertainment contest events (live media and entertainment contest events #476-500)	Two live bonus media and entertainment contest events (39th and 40th live bonus media and entertainment contest events)	April 17, 2041 (2041-04-17)	June 12, 2041 (2041-06-12)	June 15, 2041 (2041-06-15)	June 16, 2041 (2041-06-16)
Live Japan-United States Star Media and Entertainment Contest 2042	21st Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 57, Silver at age 55, Mighty at age 57, Sonic at age 56, Ray at age 50, Tails at age 49, Knuckles at age 56, Amy at age 52, Tangle at age 55, Rouge at age 58, Blaze at age 55, Sally at age 56, Marine at age 48, Mina at age 57 and Tikal at age 55	25 regular live media and entertainment contest events (live media and entertainment contest events #501-525)	Two live bonus media and entertainment contest events (41st and 42nd live bonus media and entertainment contest events)	April 16, 2042 (2042-04-16)	June 11, 2042 (2042-06-11)	June 14, 2042 (2042-06-14)	June 15, 2042 (2042-06-15)
Live Japan-United States Star Media and Entertainment Contest 2043	22nd Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 58, Silver at age 56, Mighty at age 58, Sonic at age 57, Ray at age 51, Tails at age 50, Knuckles at age 57, Amy at age 53, Tangle at age 56, Rouge at age 59, Blaze at age 56, Sally at age 57, Marine at age 49, Mina at age 58 and Tikal at age 56	25 regular live media and entertainment contest events (live media and entertainment contest events #526-550)	Two live bonus media and entertainment contest events (43rd and 44th live bonus media and entertainment contest events)	April 15, 2043 (2043-04-15)	June 10, 2043 (2043-06-10)	June 13, 2043 (2043-06-13)	June 14, 2043 (2043-06-14)
Live Japan-United States Star Media and Entertainment Contest 2044	23rd Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 59, Silver at age 57, Mighty at age 59, Sonic at age 58, Ray at age 52, Tails at age 51, Knuckles at age 58, Amy at age 54, Tangle at age 57, Rouge at age 60, Blaze at age 57, Sally at age 58, Marine at age 50, Mina at age 59 and Tikal at age 57	25 regular live media and entertainment contest events (live media and entertainment contest events #551-575)	Two live bonus media and entertainment contest events (45th and 46th live bonus media and entertainment contest events)	April 13, 2044 (2044-04-13)	June 8, 2044 (2044-06-08)	June 11, 2044 (2044-06-11)	June 12, 2044 (2044-06-12)
Live Japan-United States Star Media and Entertainment Contest 2045	24th Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 60, Silver at age 58, Mighty at age 60, Sonic at age 59, Ray at age 53, Tails at age 52, Knuckles at age 59, Amy at age 55, Tangle at age 58, Rouge at age 61, Blaze at age 58, Sally at age 59, Marine at age 51, Mina at age 60 and Tikal at age 58	25 regular live media and entertainment contest events (live media and entertainment contest events #576-600)	Two live bonus media and entertainment contest events (47th and 48th live bonus media and entertainment contest events)	April 12, 2045 (2045-04-12)	June 7, 2045 (2045-06-07)	June 10, 2045 (2045-06-10)	June 11, 2045 (2045-06-11)
Live Japan-United States Star Media and Entertainment Contest 2046	25th Live Japan-United States Star Media and Entertainment Contest edition scheduled to feature Shadow at age 61, Silver at age 59, Mighty at age 61, Sonic at age 60, Ray at age 54, Tails at age 53, Knuckles at age 60, Amy at age 56, Tangle at age 59, Rouge at age 62, Blaze at age 59, Sally at age 60, Marine at age 52, Mina at age 61 and Tikal at age 59	25 regular live media and entertainment contest events (live media and entertainment contest events #601-625)	Two live bonus media and entertainment contest events (49th and 50th live bonus media and entertainment contest events)	April 11, 2046 (2046-04-11)	June 6, 2046 (2046-06-06)	June 9, 2046 (2046-06-09)	June 10, 2046 (2046-06-10)

Outpost operation, criminal attack prevention and smoking or tobacco usage penalty or punishment tables

Outpost operation table I

Star/personality	Date of 100 outposts built and made operational for urban defense in the United States and Japan so far	Date of 200 outposts built and made operational for urban defense in the United States and Japan so far	Date of 500 outposts built and made operational for urban defense in the United States and Japan so far	Date of 1,000 outposts built and made operational for urban defense in the United States and Japan so far	Date of 2,500 outposts built and made operational for urban defense in the United States and Japan so far	Date of 5,000 outposts built and made operational for urban defense in the United States and Japan so far	Date of 10,000 outposts built and made operational for urban defense in the United States and Japan so far	Date of 25,000 outposts built and made operational for urban defense in the United States and Japan so far	Date of 50,000 outposts built and made operational for urban defense in the United States and Japan so far	Date of 100,000 outposts scheduled to be built and made operational for urban defense in the United States and Japan so far	Date of 200,000 outposts scheduled to be built and made operational for urban defense in the United States and Japan so far	Date of 500,000 outposts scheduled to be built and made operational for urban defense in the United States and Japan so far	Date of a million outposts scheduled to be built and made operational for urban defense in the United States and Japan so far
Shadow	April 13, 2022 (2022-04-13)	April 14, 2022 (2022-04-14)	April 17, 2022 (2022-04-17)	April 22, 2022 (2022-04-22)	May 7, 2022 (2022-05-07)	June 1, 2022 (2022-06-01)	July 21, 2022 (2022-07-21)	December 18, 2022 (2022-12-18)	August 25, 2023 (2023-08-25)	January 6, 2025 (2025-01-06)	October 3, 2027 (2027-10-03)	December 20, 2035 (2035-12-20)	August 28, 2049 (2049-08-28)
Silver
Mighty
Sonic
Ray
Tails
Knuckles
Amy
Tangle
Rouge
Blaze
Sally
Marine
Mina
Tikal

Outpost operation table II

Star/personality	Age upon building 100 outposts and making them operational for urban defense in the United States and Japan so far	Age upon building 200 outposts and making them operational for urban defense in the United States and Japan so far	Age upon building 500 outposts and making them operational for urban defense in the United States and Japan so far	Age upon building 1,000 outposts and making them operational for urban defense in the United States and Japan so far	Age upon building 2,500 outposts and making them operational for urban defense in the United States and Japan so far	Age upon building 5,000 outposts and making them operational for urban defense in the United States and Japan so far	Age upon building 10,000 outposts and making them operational for urban defense in the United States and Japan so far	Age upon building 25,000 outposts and making them operational for urban defense in the United States and Japan so far	Age upon building 50,000 outposts and making them operational for urban defense in the United States and Japan so far	Age upon being scheduled to build 100,000 outposts and make them operational for urban defense in the United States and Japan so far	Age upon being scheduled to build 200,000 outposts and make them operational for urban defense in the United States and Japan so far	Age upon being scheduled to build 500,000 outposts and make them operational for urban defense in the United States and Japan so far	Age upon being scheduled to build a million outposts and make them operational for urban defense in the United States and Japan so far
Shadow	37								38	39	42	50	64
Silver	35								36	37	40	48	62
Mighty	37								38	39	42	50	64
Sonic	36								37	38	41	49	63
Ray	30								31	32	35	43	57
Tails	29								30	31	34	42	56
Knuckles	36								37	38	41	49	63
Amy	32								33	34	37	45	59
Tangle	35								36	37	40	48	62
Rouge	38								39	40	43	51	65
Blaze	35								36	37	40	48	62
Sally	36								37	38	41	49	63
Marine	28								29	30	33	41	55
Mina	37								38	39	42	50	64
Tikal	35								36	37	40	48	62

Outpost operation table III

Count of outposts built and made operational for urban defense in the United States and Japan every day	Date of first outposts built and made operational for urban defense in the United States and Japan	Outpost builder/operator #1	Outpost builder/operator #2	Outpost builder/operator #3	Outpost builder/operator #4	Outpost builder/operator #5	Outpost builder/operator #6	Outpost builder/operator #7	Outpost builder/operator #8	Outpost builder/operator #9	Outpost builder/operator #10	Outpost builder/operator #11	Outpost builder/operator #12	Outpost builder/operator #13	Outpost builder/operator #14	Outpost builder/operator #15
100 every day starting on April 13, 2022	April 13, 2022 (2022-04-13)	Shadow (since April 13, 2022)	Silver (since April 13, 2022)	Mighty (since April 13, 2022)	Sonic (since April 13, 2022)	Ray (since April 13, 2022)	Tails (since April 13, 2022)	Knuckles (since April 13, 2022)	Amy (since April 13, 2022)	Tangle (since April 13, 2022)	Rouge (since April 13, 2022)	Blaze (since April 13, 2022)	Sally (since April 13, 2022)	Marine (since April 13, 2022)	Mina (since April 13, 2022)	Tikal (since April 13, 2022)

Criminal attack prevention table I

Star/personality	Date of 100,000 criminal attacks prevented in the United States and Japan so far	Date of 200,000 criminal attacks prevented in the United States and Japan so far	Date of 500,000 criminal attacks prevented in the United States and Japan so far	Date of a million criminal attacks prevented in the United States and Japan so far	Date of two and a half million criminal attacks prevented in the United States and Japan so far	Date of five million criminal attacks prevented in the United States and Japan so far	Date of ten million criminal attacks prevented in the United States and Japan so far	Date of 25 million criminal attacks prevented in the United States and Japan so far	Date of 50 million criminal attacks prevented in the United States and Japan so far	Date of 100 million criminal attacks scheduled to be prevented in the United States and Japan so far	Date of 200 million criminal attacks scheduled to be prevented in the United States and Japan so far	Date of 500 million criminal attacks scheduled to be prevented in the United States and Japan so far	Date of a billion criminal attacks scheduled to be prevented in the United States and Japan so far
Shadow	April 13, 2022 (2022-04-13)	April 14, 2022 (2022-04-14)	April 17, 2022 (2022-04-17)	April 22, 2022 (2022-04-22)	May 7, 2022 (2022-05-07)	June 1, 2022 (2022-06-01)	July 21, 2022 (2022-07-21)	December 18, 2022 (2022-12-18)	August 25, 2023 (2023-08-25)	January 6, 2025 (2025-01-06)	October 3, 2027 (2027-10-03)	December 20, 2035 (2035-12-20)	August 28, 2049 (2049-08-28)
Silver
Mighty
Sonic
Ray
Tails
Knuckles
Amy
Tangle
Rouge
Blaze
Sally
Marine
Mina
Tikal

Criminal attack prevention table II

Star/personality	Age upon preventing 100,000 criminal attacks in the United States and Japan so far	Age upon preventing 200,000 criminal attacks in the United States and Japan so far	Age upon preventing 500,000 criminal attacks in the United States and Japan so far	Age upon preventing a million criminal attacks in the United States and Japan so far	Age upon preventing two and a half million criminal attacks in the United States and Japan so far	Age upon preventing five million criminal attacks in the United States and Japan so far	Age upon preventing ten million criminal attacks in the United States and Japan so far	Age upon preventing in the United States and Japan 25 million criminal attacks so far	Age upon preventing 50 million criminal attacks in the United States and Japan so far	Age upon being scheduled to prevent 100 million criminal attacks in the United States and Japan so far	Age upon being scheduled to prevent 200 million criminal attacks in the United States and Japan so far	Age upon being scheduled to prevent 500 million criminal attacks in the United States and Japan so far	Age upon being scheduled to prevent a billion criminal attacks in the United States and Japan so far
Shadow	37								38	39	42	50	64
Silver	35								36	37	40	48	62
Mighty	37								38	39	42	50	64
Sonic	36								37	38	41	49	63
Ray	30								31	32	35	43	57
Tails	29								30	31	34	42	56
Knuckles	36								37	38	41	49	63
Amy	32								33	34	37	45	59
Tangle	35								36	37	40	48	62
Rouge	38								39	40	43	51	65
Blaze	35								36	37	40	48	62
Sally	36								37	38	41	49	63
Marine	28								29	30	33	41	55
Mina	37								38	39	42	50	64
Tikal	35								36	37	40	48	62

Criminal attack prevention table III

Count of criminal attacks prevented in the United States and Japan every day	Date of first criminal attacks prevented in the United States and Japan	Criminal attack prevention expert/master/professional #1	Criminal attack prevention expert/master/professional #2	Criminal attack prevention expert/master/professional #3	Criminal attack prevention expert/master/professional #4	Criminal attack prevention expert/master/professional #5	Criminal attack prevention expert/master/professional #6	Criminal attack prevention expert/master/professional #7	Criminal attack prevention expert/master/professional #8	Criminal attack prevention expert/master/professional #9	Criminal attack prevention expert/master/professional #10	Criminal attack prevention expert/master/professional #11	Criminal attack prevention expert/master/professional #12	Criminal attack prevention expert/master/professional #13	Criminal attack prevention expert/master/professional #14	Criminal attack prevention expert/master/professional #15
100 every day starting on April 13, 2022	April 13, 2022 (2022-04-13)	Shadow (since April 13, 2022)	Silver (since April 13, 2022)	Mighty (since April 13, 2022)	Sonic (since April 13, 2022)	Ray (since April 13, 2022)	Tails (since April 13, 2022)	Knuckles (since April 13, 2022)	Amy (since April 13, 2022)	Tangle (since April 13, 2022)	Rouge (since April 13, 2022)	Blaze (since April 13, 2022)	Sally (since April 13, 2022)	Marine (since April 13, 2022)	Mina (since April 13, 2022)	Tikal (since April 13, 2022)

New outpost operation and criminal attack prevention table

Star/personality	Outpost operation status	Criminal attack prevention status	Age upon starting to build outposts and make them operational for urban defense	Age upon starting to prevent criminal attacks
Shadow	Building outposts and making them operational for urban defense indefinitely in the United States and Japan since April 13, 2022 Continuing to build outposts and make them operational for urban defense in the United States and Japan for many years in obedience to the announcement on June 8, 2022	Defending the United States and Japan against criminal attacks indefinitely since April 13, 2022 Continuing to defend the United States and Japan against criminal attacks for many years in obedience to the announcement on June 8, 2022	37
Silver			35
Mighty			37
Sonic			36
Ray			30
Tails			29
Knuckles			36
Amy			32
Tangle			35
Rouge			38
Blaze			35
Sally			36
Marine			28
Mina			37
Tikal			35

Table focusing on smoking as the act punishable by up to 40 years in prison only in the United States and Japan

Act	Status	Maximum penalty or punishment
Smoking	Completely illegal since April 13, 2022 (United States and Japan only)	40 years of imprisonment starting on April 13, 2022 (United States and Japan only)

Table focusing on tobacco usage as the act punishable by up to 40 years in prison only in the United States and Japan

Act	Status	Maximum penalty or punishment
Tobacco usage	Completely illegal since April 13, 2022 (United States and Japan only)	40 years of imprisonment starting on April 13, 2022 (United States and Japan only)

Table focusing on the United States and Japan as anti-tobacco countries

Country	Anti-tobacco country
United States	Yes (since April 13, 2022)
Japan

Table focusing on the United States and Japan as tobacco-hating countries

Country	Tobacco-hating country
United States	Yes (since April 13, 2022)
Japan

Table focusing on the anti-tobacco law

Law	Date of imposition/enforcement	Status
Anti-tobacco law	April 13, 2022 (2022-04-13)	Effective or in effect since April 13, 2022 (United States and Japan only)

Table focusing on tobacco-hating stars

Tobacco-hating star #1	Tobacco-hating star #2	Tobacco-hating star #3	Tobacco-hating star #4	Tobacco-hating star #5	Tobacco-hating star #6	Tobacco-hating star #7	Tobacco-hating star #8	Tobacco-hating star #9	Tobacco-hating star #10	Tobacco-hating star #11	Tobacco-hating star #12	Tobacco-hating star #13	Tobacco-hating star #14	Tobacco-hating star #15
Shadow (since April 13, 2022)	Silver (since April 13, 2022)	Mighty (since April 13, 2022)	Sonic (since April 13, 2022)	Ray (since April 13, 2022)	Tails (since April 13, 2022)	Knuckles (since April 13, 2022)	Amy (since April 13, 2022)	Tangle (since April 13, 2022)	Rouge (since April 13, 2022)	Blaze (since April 13, 2022)	Sally (since April 13, 2022)	Marine (since April 13, 2022)	Mina (since April 13, 2022)	Tikal (since April 13, 2022)

Educational tables

Table focusing on classes and educational programs

Class/educational program type	Description	First day (featuring Japanese-American stars/personalities as teachers)	Final day (featuring Japanese-American stars/personalities as teachers
Class of 2022	First class featuring Shadow at age 37, Silver at age 35, Mighty at age 37, Sonic at age 36, Ray at age 30, Tails at age 29, Knuckles at age 36, Amy at age 32, Tangle at age 35, Rouge at age 38, Blaze at age 35, Sally at age 36, Marine at age 28, Mina at age 37 and Tikal at age 35	April 13, 2022 (2022-04-13)	June 28, 2022 (2022-06-28)
Summer program 2022	First summer program featuring Shadow at age 37, Silver at age 35, Mighty at age 37, Sonic at age 36, Ray at age 30, Tails at age 29, Knuckles at age 36, Amy at age 32, Tangle at age 35, Rouge at age 38, Blaze at age 35, Sally at age 36, Marine at age 28, Mina at age 37 and Tikal at age 35	July 6, 2022 (2022-07-06)	August 12, 2022 (2022-08-12)
Class of 2023	Second class featuring Shadow at age 37 or 38, Silver at age 35 or 36, Mighty at age 37 or 38, Sonic at age 36 or 37, Ray at age 30 or 31, Tails at age 29 or 30, Knuckles at age 36 or 37, Amy at age 32 or 33, Tangle at age 35 or 36, Rouge at age 38 or 39, Blaze at age 35 or 36, Sally at age 36 or 37, Marine at age 28 or 29, Mina at age 37 or 38 and Tikal at age 35 or 36	September 8, 2022 (2022-09-08)	June 28, 2023 (2023-06-28)
Summer program 2023	Second summer program featuring Shadow at age 38, Silver at age 36, Mighty at age 38, Sonic at age 37, Ray at age 31, Tails at age 30, Knuckles at age 37, Amy at age 33, Tangle at age 36, Rouge at age 39, Blaze at age 36, Sally at age 37, Marine at age 29, Mina at age 38 and Tikal at age 36	July 6, 2023 (2023-07-06)	August 14, 2023 (2023-08-14)
Class of 2024	Third class featuring Shadow at age 38 or 39, Silver at age 36 or 37, Mighty at age 38 or 39, Sonic at age 37 or 38, Ray at age 31 or 32, Tails at age 30 or 31, Knuckles at age 37 or 38, Amy at age 33 or 34, Tangle at age 36 or 37, Rouge at age 39 or 40, Blaze at age 36 or 37, Sally at age 37 or 38, Marine at age 29 or 30, Mina at age 38 or 39 and Tikal at age 36 or 37	September 8, 2023 (2023-09-08)	June 28, 2024 (2024-06-28)
Summer program 2024	Third summer program featuring Shadow at age 39, Silver at age 37, Mighty at age 39, Sonic at age 38, Ray at age 32, Tails at age 31, Knuckles at age 38, Amy at age 34, Tangle at age 37, Rouge at age 40, Blaze at age 37, Sally at age 38, Marine at age 30, Mina at age 39 and Tikal at age 37	July 8, 2024 (2024-07-08)	August 14, 2024 (2024-08-14)
Class of 2025	Fourth class scheduled to feature Shadow at age 39 or 40, Silver at age 37 or 38, Mighty at age 39 or 40, Sonic at age 38 or 39, Ray at age 32 or 33, Tails at age 31 or 32, Knuckles at age 38 or 39, Amy at age 34 or 35, Tangle at age 37 or 38, Rouge at age 40 or 41, Blaze at age 37 or 38, Sally at age 38 or 39, Marine at age 30 or 31, Mina at age 39 or 40 and Tikal at age 37 or 38	September 9, 2024 (2024-09-09)	June 27, 2025 (2025-06-27)
Summer program 2025	Fourth summer program scheduled to feature Shadow at age 40, Silver at age 38, Mighty at age 40, Sonic at age 39, Ray at age 33, Tails at age 32, Knuckles at age 39, Amy at age 35, Tangle at age 38, Rouge at age 41, Blaze at age 38, Sally at age 39, Marine at age 31, Mina at age 40 and Tikal at age 38	July 7, 2025 (2025-07-07)	August 14, 2025 (2025-08-14)
Class of 2026	Fifth class scheduled to feature Shadow at age 40 or 41, Silver at age 38 or 39, Mighty at age 40 or 41, Sonic at age 39 or 40, Ray at age 33 or 34, Tails at age 32 or 33, Knuckles at age 39 or 40, Amy at age 35 or 36, Tangle at age 38 or 39, Rouge at age 41 or 42, Blaze at age 38 or 39, Sally at age 39 or 40, Marine at age 31 or 32, Mina at age 40 or 41 and Tikal at age 38 or 39	September 8, 2025 (2025-09-08)	June 26, 2026 (2026-06-26)
Summer program 2026	Fifth summer program scheduled to feature Shadow at age 41, Silver at age 39, Mighty at age 41, Sonic at age 40, Ray at age 34, Tails at age 33, Knuckles at age 40, Amy at age 36, Tangle at age 39, Rouge at age 42, Blaze at age 39, Sally at age 40, Marine at age 32, Mina at age 41 and Tikal at age 39	July 6, 2026 (2026-07-06)	August 14, 2026 (2026-08-14)
Class of 2027	Sixth class scheduled to feature Shadow at age 41 or 42, Silver at age 39 or 40, Mighty at age 41 or 42, Sonic at age 40 or 41, Ray at age 34 or 35, Tails at age 33 or 34, Knuckles at age 40 or 41, Amy at age 36 or 37, Tangle at age 39 or 40, Rouge at age 42 or 43, Blaze at age 39 or 40, Sally at age 40 or 41, Marine at age 32 or 33, Mina at age 41 or 42 and Tikal at age 39 or 40	September 8, 2026 (2026-09-08)	June 28, 2027 (2027-06-28)
Summer program 2027	Sixth summer program scheduled to feature Shadow at age 42, Silver at age 40, Mighty at age 42, Sonic at age 41, Ray at age 35, Tails at age 34, Knuckles at age 41, Amy at age 37, Tangle at age 40, Rouge at age 43, Blaze at age 40, Sally at age 41, Marine at age 33, Mina at age 42 and Tikal at age 40	July 6, 2027 (2027-07-06)	August 13, 2027 (2027-08-13)
Class of 2028	Seventh class scheduled to feature Shadow at age 42 or 43, Silver at age 40 or 41, Mighty at age 42 or 43, Sonic at age 41 or 42, Ray at age 35 or 36, Tails at age 34 or 35, Knuckles at age 41 or 42, Amy at age 37 or 38, Tangle at age 40 or 41, Rouge at age 43 or 44, Blaze at age 40 or 41, Sally at age 41 or 42, Marine at age 33 or 34, Mina at age 42 or 43 and Tikal at age 40 or 41	September 8, 2027 (2027-09-08)	June 28, 2028 (2028-06-28)
Summer program 2028	Seventh summer program scheduled to feature Shadow at age 43, Silver at age 41, Mighty at age 43, Sonic at age 42, Ray at age 36, Tails at age 35, Knuckles at age 42, Amy at age 38, Tangle at age 41, Rouge at age 44, Blaze at age 41, Sally at age 42, Marine at age 34, Mina at age 43 and Tikal at age 41	July 6, 2028 (2028-07-06)	August 14, 2028 (2028-08-14)
Class of 2029	Eighth class scheduled to feature Shadow at age 43 or 44, Silver at age 41 or 42, Mighty at age 43 or 44, Sonic at age 42 or 43, Ray at age 36 or 37, Tails at age 35 or 36, Knuckles at age 42 or 43, Amy at age 38 or 39, Tangle at age 41 or 42, Rouge at age 44 or 45, Blaze at age 41 or 42, Sally at age 42 or 43, Marine at age 34 or 35, Mina at age 43 or 44 and Tikal at age 41 or 42	September 8, 2028 (2028-09-08)	June 28, 2029 (2029-06-28)
Summer program 2029	Eighth summer program scheduled to feature Shadow at age 44, Silver at age 42, Mighty at age 44, Sonic at age 43, Ray at age 37, Tails at age 36, Knuckles at age 43, Amy at age 39, Tangle at age 42, Rouge at age 45, Blaze at age 42, Sally at age 43, Marine at age 35, Mina at age 44 and Tikal at age 42	July 6, 2029 (2029-07-06)	August 14, 2029 (2029-08-14)
Class of 2030	Ninth class scheduled to feature Shadow at age 44 or 45, Silver at age 42 or 43, Mighty at age 44 or 45, Sonic at age 43 or 44, Ray at age 37 or 38, Tails at age 36 or 37, Knuckles at age 43 or 44, Amy at age 39 or 40, Tangle at age 42 or 43, Rouge at age 45 or 46, Blaze at age 42 or 43, Sally at age 43 or 44, Marine at age 35 or 36, Mina at age 44 or 45 and Tikal at age 42 or 43	September 10, 2029 (2029-09-10)	June 28, 2030 (2030-06-28)
Summer program 2030	Ninth summer program scheduled to feature Shadow at age 45, Silver at age 43, Mighty at age 45, Sonic at age 44, Ray at age 38, Tails at age 37, Knuckles at age 44, Amy at age 40, Tangle at age 43, Rouge at age 46, Blaze at age 43, Sally at age 44, Marine at age 36, Mina at age 45 and Tikal at age 43	July 8, 2030 (2030-07-08)	August 14, 2030 (2030-08-14)
Class of 2031	Tenth class scheduled to feature Shadow at age 45 or 46, Silver at age 44 or 45, Mighty at age 45 or 46, Sonic at age 44 or 45, Ray at age 38 or 39, Tails at age 37 or 38, Knuckles at age 44 or 45, Amy at age 40 or 41, Tangle at age 43 or 44, Rouge at age 46 or 47, Blaze at age 43 or 44, Sally at age 44 or 45, Marine at age 36 or 37, Mina at age 45 or 46 and Tikal at age 43 or 44	September 9, 2030 (2030-09-09)	June 27, 2031 (2031-06-27)
Summer program 2031	Tenth summer program scheduled to feature Shadow at age 46, Silver at age 44, Mighty at age 46, Sonic at age 45, Ray at age 39, Tails at age 38, Knuckles at age 45, Amy at age 41, Tangle at age 44, Rouge at age 47, Blaze at age 44, Sally at age 45, Marine at age 37, Mina at age 46 and Tikal at age 44	July 7, 2031 (2031-07-07)	August 14, 2031 (2031-08-14)
Class of 2032	11th class scheduled to feature Shadow at age 46 or 47, Silver at age 44 or 45, Mighty at age 46 or 47, Sonic at age 45 or 46, Ray at age 39 or 40, Tails at age 38 or 39, Knuckles at age 45 or 46, Amy at age 41 or 42, Tangle at age 44 or 45, Rouge at age 47 or 48, Blaze at age 44 or 45, Sally at age 45 or 46, Marine at age 37 or 38, Mina at age 46 or 47 and Tikal at age 44 or 45	September 8, 2031 (2031-09-08)	June 28, 2032 (2032-06-28)
Summer program 2032	11th summer program scheduled to feature Shadow at age 47, Silver at age 45, Mighty at age 47, Sonic at age 46, Ray at age 40, Tails at age 39, Knuckles at age 46, Amy at age 42, Tangle at age 45, Rouge at age 48, Blaze at age 45, Sally at age 46, Marine at age 38, Mina at age 47 and Tikal at age 45	July 6, 2032 (2032-07-06)	August 13, 2032 (2032-08-13)
Class of 2033	12th class scheduled to feature Shadow at age 47 or 48, Silver at age 45 or 46, Mighty at age 47 or 48, Sonic at age 46 or 47, Ray at age 40 or 41, Tails at age 39 or 40, Knuckles at age 46 or 47, Amy at age 42 or 43, Tangle at age 45 or 46, Rouge at age 48 or 49, Blaze at age 45 or 46, Sally at age 46 or 47, Marine at age 38 or 39, Mina at age 47 or 48 and Tikal at age 45 or 46	September 8, 2032 (2032-09-08)	June 28, 2033 (2033-06-28)
Summer program 2033	12th summer program scheduled to feature Shadow at age 48, Silver at age 46, Mighty at age 48, Sonic at age 47, Ray at age 41, Tails at age 40, Knuckles at age 47, Amy at age 43, Tangle at age 46, Rouge at age 49, Blaze at age 46, Sally at age 47, Marine at age 39, Mina at age 48 and Tikal at age 46	July 6, 2033 (2033-07-06)	August 12, 2033 (2033-08-12)
Class of 2034	13th class scheduled to feature Shadow at age 48 or 49, Silver at age 46 or 47, Mighty at age 48 or 49, Sonic at age 47 or 48, Ray at age 41 or 42, Tails at age 40 or 41, Knuckles at age 47 or 48, Amy at age 43 or 44, Tangle at age 46 or 47, Rouge at age 49 or 50, Blaze at age 46 or 47, Sally at age 47 or 48, Marine at age 39 or 40, Mina at age 48 or 49 and Tikal at age 46 or 47	September 8, 2033 (2033-09-08)	June 28, 2034 (2034-06-28)
Summer program 2034	13th summer program scheduled to feature Shadow at age 49, Silver at age 47, Mighty at age 49, Sonic at age 48, Ray at age 42, Tails at age 41, Knuckles at age 48, Amy at age 44, Tangle at age 47, Rouge at age 50, Blaze at age 47, Sally at age 48, Marine at age 40, Mina at age 49 and Tikal at age 47	July 6, 2034 (2034-07-06)	August 14, 2034 (2034-08-14)
Class of 2035	14th class scheduled to feature Shadow at age 49 or 50, Silver at age 47 or 48, Mighty at age 49 or 50, Sonic at age 48 or 49, Ray at age 42 or 43, Tails at age 41 or 42, Knuckles at age 48 or 49, Amy at age 44 or 45, Tangle at age 47 or 48, Rouge at age 50 or 51, Blaze at age 47 or 48, Sally at age 48 or 49, Marine at age 40 or 41, Mina at age 49 or 50 and Tikal at age 47 or 48	September 8, 2034 (2034-09-08)	June 28, 2035 (2035-06-28)
Summer program 2035	14th summer program scheduled to feature Shadow at age 50, Silver at age 48, Mighty at age 50, Sonic at age 49, Ray at age 43, Tails at age 42, Knuckles at age 49, Amy at age 45, Tangle at age 48, Rouge at age 51, Blaze at age 48, Sally at age 49, Marine at age 41, Mina at age 50 and Tikal at age 48	July 6, 2035 (2035-07-06)	August 14, 2035 (2035-08-14)
Class of 2036	15th class scheduled to feature Shadow at age 50 or 51, Silver at age 48 or 49, Mighty at age 50 or 51, Sonic at age 49 or 50, Ray at age 43 or 44, Tails at age 42 or 43, Knuckles at age 49 or 50, Amy at age 45 or 46, Tangle at age 48 or 49, Rouge at age 51 or 52, Blaze at age 48 or 49, Sally at age 49 or 50, Marine at age 41 or 42, Mina at age 50 or 51 and Tikal at age 48 or 49	September 10, 2035 (2035-09-10)	June 27, 2036 (2036-06-27)
Summer program 2036	15th summer program scheduled to feature Shadow at age 51, Silver at age 49, Mighty at age 51, Sonic at age 50, Ray at age 44, Tails at age 43, Knuckles at age 50, Amy at age 46, Tangle at age 49, Rouge at age 52, Blaze at age 49, Sally at age 50, Marine at age 42, Mina at age 51 and Tikal at age 49	July 7, 2036 (2036-07-07)	August 14, 2036 (2036-08-14)
Class of 2037	16th class scheduled to feature Shadow at age 51 or 52, Silver at age 49 or 50, Mighty at age 51 or 52, Sonic at age 50 or 51, Ray at age 44 or 45, Tails at age 43 or 44, Knuckles at age 50 or 51, Amy at age 46 or 47, Tangle at age 49 or 50, Rouge at age 52 or 53, Blaze at age 49 or 50, Sally at age 50 or 51, Marine at age 42 or 43, Mina at age 51 or 52 and Tikal at age 49 or 50	September 8, 2036 (2036-09-08)	June 26, 2037 (2037-06-26)
Summer program 2037	16th summer program scheduled to feature Shadow at age 52, Silver at age 50, Mighty at age 52, Sonic at age 51, Ray at age 45, Tails at age 44, Knuckles at age 51, Amy at age 47, Tangle at age 50, Rouge at age 53, Blaze at age 50, Sally at age 51, Marine at age 43, Mina at age 52 and Tikal at age 50	July 6, 2037 (2037-07-06)	August 14, 2037 (2037-08-14)
Class of 2038	17th class scheduled to feature Shadow at age 52 or 53, Silver at age 50 or 51, Mighty at age 52 or 53, Sonic at age 51 or 52, Ray at age 45 or 46, Tails at age 44 or 45, Knuckles at age 51 or 52, Amy at age 47 or 48, Tangle at age 50 or 51, Rouge at age 53 or 54, Blaze at age 50 or 51, Sally at age 51 or 52, Marine at age 43 or 44, Mina at age 52 or 53 and Tikal at age 50 or 51	September 8, 2037 (2037-09-08)	June 28, 2038 (2038-06-28)
Summer program 2038	17th summer program scheduled to feature Shadow at age 53, Silver at age 51, Mighty at age 53, Sonic at age 52, Ray at age 46, Tails at age 45, Knuckles at age 52, Amy at age 48, Tangle at age 51, Rouge at age 54, Blaze at age 51, Sally at age 52, Marine at age 44, Mina at age 53 and Tikal at age 51	July 6, 2038 (2038-07-06)	August 13, 2038 (2038-08-13)
Class of 2039	18th class scheduled to feature Shadow at age 53 or 54, Silver at age 51 or 52, Mighty at age 53 or 54, Sonic at age 52 or 53, Ray at age 46 or 47, Tails at age 45 or 46, Knuckles at age 52 or 53, Amy at age 48 or 49, Tangle at age 51 or 52, Rouge at age 54 or 55, Blaze at age 51 or 52, Sally at age 52 or 53, Marine at age 44 or 45, Mina at age 53 or 54 and Tikal at age 51 or 52	September 8, 2038 (2038-09-08)	June 28, 2039 (2039-06-28)
Summer program 2039	18th summer program scheduled to feature Shadow at age 54, Silver at age 52, Mighty at age 54, Sonic at age 53, Ray at age 47, Tails at age 46, Knuckles at age 53, Amy at age 49, Tangle at age 52, Rouge at age 55, Blaze at age 52, Sally at age 53, Marine at age 45, Mina at age 54 and Tikal at age 52	July 6, 2039 (2039-07-06)	August 12, 2039 (2039-08-12)
Class of 2040	19th class scheduled to feature Shadow at age 54 or 55, Silver at age 52 or 53, Mighty at age 54 or 55, Sonic at age 53 or 54, Ray at age 47 or 48, Tails at age 46 or 47, Knuckles at age 53 or 54, Amy at age 49 or 50, Tangle at age 52 or 53, Rouge at age 55 or 56, Blaze at age 52 or 53, Sally at age 54 or 55, Marine at age 45 or 46, Mina at age 54 or 55 and Tikal at age 52 or 53	September 8, 2039 (2039-09-08)	June 28, 2040 (2040-06-28)
Summer program 2040	19th summer program scheduled to feature Shadow at age 55, Silver at age 53, Mighty at age 55, Sonic at age 54, Ray at age 48, Tails at age 47, Knuckles at age 54, Amy at age 50, Tangle at age 53, Rouge at age 56, Blaze at age 53, Sally at age 54, Marine at age 46, Mina at age 55 and Tikal at age 53	July 6, 2040 (2040-07-06)	August 14, 2040 (2040-08-14)
Class of 2041	20th class scheduled to feature Shadow at age 55 or 56, Silver at age 53 or 54, Mighty at age 55 or 56, Sonic at age 54 or 55, Ray at age 48 or 49, Tails at age 47 or 48, Knuckles at age 54 or 55, Amy at age 50 or 51, Tangle at age 53 or 54, Rouge at age 56 or 57, Blaze at age 53 or 54, Sally at age 54 or 55, Marine at age 46 or 47, Mina at age 55 or 56 and Tikal at age 53 or 54	September 10, 2040 (2040-09-10)	June 28, 2041 (2041-06-28)
Summer program 2041	20th summer program scheduled to feature Shadow at age 56, Silver at age 54, Mighty at age 56, Sonic at age 55, Ray at age 49, Tails at age 48, Knuckles at age 55, Amy at age 51, Tangle at age 54, Rouge at age 57, Blaze at age 54, Sally at age 55, Marine at age 47, Mina at age 56 and Tikal at age 54	July 8, 2041 (2041-07-08)	August 14, 2041 (2041-08-14)
Class of 2042	21st class scheduled to feature Shadow at age 56 or 57, Silver at age 54 or 55, Mighty at age 56 or 57, Sonic at age 55 or 56, Ray at age 49 or 50, Tails at age 48 or 49, Knuckles at age 55 or 56, Amy at age 51 or 52, Tangle at age 54 or 55, Rouge at age 57 or 58, Blaze at age 54 or 55, Sally at age 55 or 56, Marine at age 47 or 48, Mina at age 56 or 57 and Tikal at age 54 or 55	September 9, 2041 (2041-09-09)	June 27, 2042 (2042-06-27)
Summer program 2042	21st summer program scheduled to feature Shadow at age 57, Silver at age 55, Mighty at age 57, Sonic at age 56, Ray at age 50, Tails at age 49, Knuckles at age 56, Amy at age 52, Tangle at age 55, Rouge at age 58, Blaze at age 55, Sally at age 56, Marine at age 48, Mina at age 57 and Tikal at age 55	July 7, 2042 (2042-07-07)	August 14, 2042 (2042-08-14)
Class of 2043	22nd class scheduled to feature Shadow at age 57 or 58, Silver at age 55 or 56, Mighty at age 57 or 58, Sonic at age 56 or 57, Ray at age 50 or 51, Tails at age 49 or 50, Knuckles at age 56 or 57, Amy at age 52 or 53, Tangle at age 55 or 56, Rouge at age 58 or 59, Blaze at age 55 or 56, Sally at age 56 or 57, Marine at age 48 or 49, Mina at age 57 or 58 and Tikal at age 55 or 56	September 8, 2042 (2042-09-08)	June 26, 2043 (2043-06-26)
Summer program 2043	22nd summer program scheduled to feature Shadow at age 58, Silver at age 56, Mighty at age 58, Sonic at age 57, Ray at age 51, Tails at age 50, Knuckles at age 57, Amy at age 53, Tangle at age 56, Rouge at age 59, Blaze at age 56, Sally at age 57, Marine at age 49, Mina at age 58 and Tikal at age 56	July 6, 2043 (2043-07-06)	August 14, 2043 (2043-08-14)
Class of 2044	23rd class scheduled to feature Shadow at age 58 or 59, Silver at age 56 or 57, Mighty at age 58 or 59, Sonic at age 57 or 58, Ray at age 51 or 52, Tails at age 50 or 51, Knuckles at age 57 or 58, Amy at age 53 or 54, Tangle at age 56 or 57, Rouge at age 59 or 60, Blaze at age 56 or 57, Sally at age 57 or 58, Marine at age 49 or 50, Mina at age 58 or 59 and Tikal at age 56 or 57	September 8, 2043 (2043-09-08)	June 28, 2044 (2044-06-28)
Summer program 2044	23rd summer program scheduled to feature Shadow at age 59, Silver at age 57, Mighty at age 59, Sonic at age 58, Ray at age 52, Tails at age 51, Knuckles at age 58, Amy at age 54, Tangle at age 57, Rouge at age 60, Blaze at age 57, Sally at age 58, Marine at age 50, Mina at age 59 and Tikal at age 57	July 6, 2044 (2044-07-06)	August 12, 2044 (2044-08-12)
Class of 2045	24th class scheduled to feature Shadow at age 59 or 60, Silver at age 57 or 58, Mighty at age 59 or 60, Sonic at age 58 or 59, Ray at age 52 or 53, Tails at age 51 or 52, Knuckles at age 58 or 59, Amy at age 54 or 55, Tangle at age 57 or 58, Rouge at age 60 or 61, Blaze at age 57 or 58, Sally at age 58 or 59, Marine at age 50 or 51, Mina at age 59 or 60 and Tikal at age 57 or 58	September 8, 2044 (2044-09-08)	June 28, 2045 (2045-06-28)
Summer program 2045	24th summer program scheduled to feature Shadow at age 60, Silver at age 58, Mighty at age 60, Sonic at age 59, Ray at age 53, Tails at age 52, Knuckles at age 59, Amy at age 55, Tangle at age 58, Rouge at age 61, Blaze at age 58, Sally at age 59, Marine at age 51, Mina at age 60 and Tikal at age 58	July 6, 2045 (2045-07-06)	August 14, 2045 (2045-08-14)
Class of 2046	25th class scheduled to feature Shadow at age 60 or 61, Silver at age 58 or 59, Mighty at age 60 or 61, Sonic at age 59 or 60, Ray at age 53 or 54, Tails at age 52 or 53, Knuckles at age 59 or 60, Amy at age 55 or 56, Tangle at age 58 or 59, Rouge at age 61 or 62, Blaze at age 58 or 59, Sally at age 59 or 60, Marine at age 51 or 52, Mina at age 60 or 61 and Tikal at age 58 or 59	September 8, 2045 (2045-09-08)	June 28, 2046 (2046-06-28)
Summer program 2046	25th summer program scheduled to feature Shadow at age 61, Silver at age 59, Mighty at age 61, Sonic at age 60, Ray at age 54, Tails at age 53, Knuckles at age 60, Amy at age 56, Tangle at age 59, Rouge at age 62, Blaze at age 59, Sally at age 60, Marine at age 52, Mina at age 61 and Tikal at age 59	July 6, 2046 (2046-07-06)	August 14, 2046 (2046-08-14)

Table focusing on educational careers of Japanese-American stars/personalities as teachers

Star/personality	Date of start of educational career as a teacher	Age upon becoming a teacher	Educational status
Shadow	April 13, 2022 (2022-04-13)	37	Working as teachers since April 13, 2022 Continuing to work as teachers for many years in obedience to the announcement on June 8, 2022
Silver		35
Mighty		37
Sonic		36
Ray		30
Tails		29
Knuckles		36
Amy		32
Tangle		35
Rouge		38
Blaze		35
Sally		36
Marine		28
Mina		37
Tikal		35

Table focusing on live educational comebacks

Star/personality	Date of first live educational comeback	Date of second live educational comeback	Date of third live educational comeback	Date of fourth live educational comeback	Date of fifth live educational comeback	Date of sixth live educational comeback	Date of seventh live educational comeback	Date of eighth live educational comeback	Date of ninth live educational comeback	Date of tenth live educational comeback	Date of 11th live educational comeback	Date of 12th live educational comeback	Date of 13th live educational comeback	Date of 14th live educational comeback	Date of 15th live educational comeback	Date of 16th live educational comeback	Date of 17th live educational comeback	Date of 18th live educational comeback	Date of 19th live educational comeback	Date of 20th live educational comeback	Date of 21st live educational comeback	Date of 22nd live educational comeback	Date of 23rd live educational comeback	Date of 24th live educational comeback	Date of 25th live educational comeback	Date of 26th live educational comeback	Date of 27th live educational comeback	Date of 28th live educational comeback	Date of 29th live educational comeback	Date of 30th live educational comeback	Date of 31st live educational comeback	Date of 32nd live educational comeback	Date of 33rd live educational comeback	Date of 34th live educational comeback	Date of 35th live educational comeback	Date of 36th live educational comeback	Date of 37th live educational comeback	Date of 38th live educational comeback	Date of 39th live educational comeback	Date of 40th live educational comeback	Date of 41st live educational comeback	Date of 42nd live educational comeback	Date of 43rd live educational comeback	Date of 44th live educational comeback	Date of 45th live educational comeback	Date of 46th live educational comeback	Date of 47th live educational comeback	Date of 48th live educational comeback	Date of 49th live educational comeback	Date of 50th live educational comeback
Shadow	July 6, 2022 (2022-07-06)	September 8, 2022 (2022-09-08)	July 6, 2023 (2023-07-06)	September 8, 2023 (2023-09-08)	July 8, 2024 (2024-07-08)	September 9, 2024 (2024-09-09)	July 7, 2025 (2025-07-07)	September 8, 2025 (2025-09-08)	July 6, 2026 (2026-07-06)	September 8, 2026 (2026-09-08)	July 6, 2027 (2027-07-06)	September 8, 2027 (2027-09-08)	July 6, 2028 (2028-07-06)	September 8, 2028 (2028-09-08)	July 6, 2029 (2029-07-06)	September 10, 2029 (2029-09-10)	July 8, 2030 (2030-07-08)	September 9, 2030 (2030-09-09)	July 7, 2031 (2031-07-07)	September 8, 2031 (2031-09-08)	July 6, 2032 (2032-07-06)	September 8, 2032 (2032-09-08)	July 6, 2033 (2033-07-06)	September 8, 2033 (2033-09-08)	July 6, 2034 (2034-07-06)	September 8, 2034 (2034-09-08)	July 6, 2035 (2035-07-06)	September 10, 2035 (2035-09-10)	July 7, 2036 (2036-07-07)	September 8, 2036 (2036-09-08)	July 6, 2037 (2037-07-06)	September 8, 2037 (2037-09-08)	July 6, 2038 (2038-07-06)	September 8, 2038 (2038-09-08)	July 6, 2039 (2039-07-06)	September 8, 2039 (2039-09-08)	July 6, 2040 (2040-07-06)	September 10, 2040 (2040-09-10)	July 8, 2041 (2041-07-08)	September 9, 2041 (2041-09-09)	July 7, 2042 (2042-07-07)	September 8, 2042 (2042-09-08)	July 6, 2043 (2043-07-06)	September 8, 2043 (2043-09-08)	July 6, 2044 (2044-07-06)	September 8, 2044 (2044-09-08)	July 6, 2045 (2045-07-06)	September 8, 2045 (2045-09-08)	July 6, 2046 (2046-07-06)	September 10, 2046 (2046-09-10)
Silver
Mighty
Sonic
Ray
Tails
Knuckles
Amy
Tangle
Rouge
Blaze
Sally
Marine
Mina
Tikal

Other table focusing on live educational comebacks

Star/personality	Age upon first live educational comeback	Age upon second live educational comeback	Age upon third live educational comeback	Age upon fourth live educational comeback	Age upon fifth live educational comeback	Age upon sixth live educational comeback	Age upon seventh live educational comeback	Age upon eighth live educational comeback	Age upon ninth live educational comeback	Age upon tenth live educational comeback	Age upon 11th live educational comeback	Age upon 12th live educational comeback	Age upon 13th live educational comeback	Age upon 14th live educational comeback	Age upon 15th live educational comeback	Age upon 16th live educational comeback	Age upon 17th live educational comeback	Age upon 18th live educational comeback	Age upon 19th live educational comeback	Age upon 20th live educational comeback	Age upon 21st live educational comeback	Age upon 22nd live educational comeback	Age upon 23rd live educational comeback	Age upon 24th live educational comeback	Age upon 25th live educational comeback	Age upon 26th live educational comeback	Age upon 27th live educational comeback	Age upon 28th live educational comeback	Age upon 29th live educational comeback	Age upon 30th live educational comeback	Age upon 31st live educational comeback	Age upon 32nd live educational comeback	Age upon 33rd live educational comeback	Age upon 34th live educational comeback	Age upon 35th live educational comeback	Age upon 36th live educational comeback	Age upon 37th live educational comeback	Age upon 38th live educational comeback	Age upon 39th live educational comeback	Age upon 40th live educational comeback	Age upon 41st live educational comeback	Age upon 42nd live educational comeback	Age upon 43rd live educational comeback	Age upon 44th live educational comeback	Age upon 45th live educational comeback	Age upon 46th live educational comeback	Age upon 47th live educational comeback	Age upon 48th live educational comeback	Age upon 49th live educational comeback	Age upon 50th live educational comeback
Shadow	37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53		54		55		56		57		58		59		60		61
Silver	35		36		37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53		54		55		56		57		58		59
Mighty	37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53		54		55		56		57		58		59		60		61
Sonic	36		37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53		54		55		56		57		58		59		60
Ray	30		31		32		33		34		35		36		37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53		54
Tails	29		30		31		32		33		34		35		36		37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53
Knuckles	36		37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53		54		55		56		57		58		59		60
Amy	32		33		34		35		36		37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53		54		55		56
Tangle	35		36		37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53		54		55		56		57		58		59
Rouge	38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53		54		55		56		57		58		59		60		61		62
Blaze	35		36		37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53		54		55		56		57		58		59
Sally	36		37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53		54		55		56		57		58		59		60
Marine	28		29		30		31		32		33		34		35		36		37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52
Mina	37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53		54		55		56		57		58		59		60		61
Tikal	35		36		37		38		39		40		41		42		43		44		45		46		47		48		49		50		51		52		53		54		55		56		57		58		59

Quadratic equations solved by factorization

4x² – 16x + 15 = 0

(2x – 3)(2x – 5) = 0

x = ⁠3/2⁠ and x = ⁠5/2⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Shadow (37 by age at that time)

15x² – 16x + 4 = 0

(5x – 2)(3x – 2) = 0

x = ⁠2/5⁠ and x = ⁠2/3⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Silver (35 by age at that time)

6x² – 19x + 15 = 0

(2x – 3)(3x – 5) = 0

x = ⁠3/2⁠ and x = ⁠5/3⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Mighty (37 by age at that time)

15x² – 19x + 6 = 0

(5x – 3)(3x – 2) = 0

x = ⁠3/5⁠ and x = ⁠2/3⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Sonic (36 by age at that time)

6x² – 25x + 25 = 0

(3x – 5)(2x – 5) = 0

x = ⁠5/3⁠ and x = ⁠5/2⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Ray (30 by age at that time)

25x² – 25x + 6 = 0

(5x – 2)(5x – 3) = 0

x = ⁠2/5⁠ and x = ⁠3/5⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Tails (29 by age at that time)

6x² – 19x + 10 = 0

(3x – 2)(2x – 5) = 0

x = ⁠2/3⁠ and x = ⁠5/2⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Mina (37 by age at that time)

10x² – 19x + 6 = 0

(5x – 2)(2x – 3) = 0

x = ⁠2/5⁠ and x = ⁠3/2⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Tikal (35 by age at that time)

9x² – 21x + 10 = 0

(3x – 2)(3x – 5) = 0

x = ⁠2/3⁠ and x = ⁠5/3⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Rouge (38 by age at that time)

10x² – 21x + 9 = 0

(5x – 3)(2x – 3) = 0

x = ⁠3/5⁠ and x = ⁠3/2⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Blaze (35 by age at that time)

10x² – 31x + 15 = 0

(5x – 3)(2x – 5) = 0

x = ⁠3/5⁠ and x = ⁠5/2⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Sally (36 by age at that time)

15x² – 31x + 10 = 0

(5x – 2)(3x – 5) = 0

x = ⁠2/5⁠ and x = ⁠5/3⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Marine (28 by age at that time)

6x² – 13x + 6 = 0

(3x – 2)(2x – 3) = 0

x = ⁠2/3⁠ and x = ⁠3/2⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Amy (32 by age at that time)

10x² – 29x + 10 = 0

(5x – 2)(2x – 5) = 0

x = ⁠2/5⁠ and x = ⁠5/2⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Tangle (35 by age at that time)

15x² – 34x + 15 = 0

(5x – 3)(3x – 5) = 0

x = ⁠3/5⁠ and x = ⁠5/3⁠

Quadratic equation solved by factorization in late June or early summer 2022 by Knuckles (36 by age at that time)

Quadratic equations solved by square completion

4x² – 16x + 15 = 0

4x² – 16x + 16 = 1

(2x – 4)² = 1

2x – 4 = ±1

2x = 4 ± 1

x = ⁠4 ± 1/2⁠

x = ⁠5/2⁠ and x = ⁠3/2⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Shadow (37 by age at that time)

15x² – 16x + 4 = 0

225x² – 240x + 60 = 0

225x² – 240x + 64 = 4

(15x – 8)² = 4

15x – 8 = ±2

15x = 8 ± 2

x = ⁠8 ± 2/15⁠

x = ⁠2/3⁠ and x = ⁠2/5⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Silver (35 by age at that time)

6x² – 19x + 15 = 0

144x² – 456x + 360 = 0

144x² – 456x + 361 = 1

(12x – 19)² = 1

12x – 19 = ±1

12x = 19 ± 1

x = ⁠19 ± 1/12⁠

x = ⁠5/3⁠ and x = ⁠3/2⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Mighty (37 by age at that time)

15x² – 19x + 6 = 0

900x² – 1,140x + 360 = 0

900x² – 1,140x + 361 = 1

(30x – 19)² = 1

30x – 19 = ±1

30x = 19 ± 1

x = ⁠19 ± 1/30⁠

x = ⁠2/3⁠ and x = ⁠3/5⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Sonic (36 by age at that time)

6x² – 25x + 25 = 0

144x² – 600x + 600 = 0

144x² – 600x + 625 = 25

(12x – 25)² = 25

12x – 25 = ±5

12x = 25 ± 5

x = ⁠25 ± 5/12⁠

x = ⁠5/2⁠ and x = ⁠5/3⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Ray (30 by age at that time)

25x² – 25x + 6 = 0

100x² – 100x + 24 = 0

100x² – 100x + 25 = 1

(10x – 5)² = 1

10x – 5 = ±1

10x = 5 ± 1

x = ⁠5 ± 1/10⁠

x = ⁠3/5⁠ and x = ⁠2/5⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Tails (29 by age at that time)

6x² – 19x + 10 = 0

144x² – 456x + 240 = 0

144x² – 456x + 361 = 121

(12x – 19)² = 121

12x – 19 = ±11

12x = 19 ± 11

x = ⁠19 ± 11/12⁠

x = ⁠5/2⁠ and x = ⁠2/3⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Mina (37 by age at that time)

10x² – 19x + 6 = 0

400x² – 760x + 240 = 0

400x² – 760x + 361 = 121

(20x – 19)² = 121

20x – 19 = ±11

20x = 19 ± 11

x = ⁠19 ± 11/20⁠

x = ⁠3/2⁠ and x = ⁠2/5⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Tikal (35 by age at that time)

9x² – 21x + 10 = 0

36x² – 84x + 40 = 0

36x² – 84x + 49 = 9

(6x – 7)² = 9

6x – 7 = ±3

6x = 7 ± 3

x = ⁠7 ± 3/6⁠

x = ⁠5/3⁠ and x = ⁠2/3⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Rouge (38 by age at that time)

10x² – 21x + 9 = 0

400x² – 840x + 360 = 0

400x² – 840x + 441 = 81

(20x – 21)² = 81

20x – 21 = ±9

20x = 21 ± 9

x = ⁠21 ± 9/20⁠

x = ⁠3/2⁠ and x = ⁠3/5⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Blaze (35 by age at that time)

10x² – 31x + 15 = 0

400x² – 1,240x + 600 = 0

400x² – 1,240x + 961 = 361

(20x – 31)² = 361

20x – 31 = ±19

20x = 31 ± 19

x = ⁠31 ± 19/20⁠

x = ⁠5/2⁠ and x = ⁠3/5⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Sally (36 by age at that time)

15x² – 31x + 10 = 0

900x² – 1,860x + 600 = 0

900x² – 1,860x + 961 = 361

(30x – 31)² = 361

30x – 31 = ±19

30x = 31 ± 19

x = ⁠31 ± 19/30⁠

x = ⁠5/3⁠ and x = ⁠2/5⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Marine (28 by age at that time)

6x² – 13x + 6 = 0

144x² – 312x + 144 = 0

144x² – 312x + 169 = 25

(12x – 13)² = 25

12x – 13 = ±5

12x = 13 ± 5

x = ⁠13 ± 5/12⁠

x = ⁠3/2⁠ and x = ⁠2/3⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Amy (32 by age at that time)

10x² – 29x + 10 = 0

400x² – 1,160x + 400 = 0

400x² – 1,160x + 841 = 441

(20x – 29)² = 441

20x – 29 = ±21

20x = 29 ± 21

x = ⁠29 ± 21/20⁠

x = ⁠5/2⁠ and x = ⁠2/5⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Tangle (35 by age at that time)

15x² – 34x + 15 = 0

225x² – 510x + 225 = 0

225x² – 510x + 289 = 64

(15x – 17)² = 64

15x – 17 = ±8

15x = 17 ± 8

x = ⁠17 ± 8/15⁠

x = ⁠5/3⁠ and x = ⁠3/5⁠

Quadratic equation solved by square completion in late June or early summer 2022 by Knuckles (36 by age at that time)

Quadratic equations solved by the formula

4x² – 16x + 15 = 0

a = 4, b = –16 and c = 15

b² – 4ac = 16

x = ⁠16 ± √16/8⁠

x = ⁠16 ± 4/8⁠

x = ⁠4 ± 1/2⁠

x = ⁠5/2⁠ and x = ⁠3/2⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Shadow (37 by age at that time)

15x² – 16x + 4 = 0

a = 15, b = –16 and c = 4

b² – 4ac = 16

x = ⁠16 ± √16/30⁠

x = ⁠16 ± 4/30⁠

x = ⁠8 ± 2/15⁠

x = ⁠2/3⁠ and x = ⁠2/5⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Silver (35 by age at that time)

6x² – 19x + 15 = 0

a = 6, b = –19 and c = 15

b² – 4ac = 1

x = ⁠19 ± √1/12⁠

x = ⁠19 ± 1/12⁠

x = ⁠5/3⁠ and x = ⁠3/2⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Mighty (37 by age at that time)

15x² – 19x + 6 = 0

a = 15, b = –19 and c = 6

b² – 4ac = 1

x = ⁠19 ± √1/30⁠

x = ⁠19 ± 1/30⁠

x = ⁠2/3⁠ and x = ⁠3/5⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Sonic (36 by age at that time)

6x² – 25x + 25 = 0

a = 6, b = –25 and c = 25

b² – 4ac = 25

x = ⁠25 ± √25/12⁠

x = ⁠25 ± 5/12⁠

x = ⁠5/2⁠ and x = ⁠5/3⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Ray (30 by age at that time)

25x² – 25x + 6 = 0

a = 25, b = –25 and c = 6

b² – 4ac = 25

x = ⁠25 ± √25/50⁠

x = ⁠25 ± 5/50⁠

x = ⁠5 ± 1/10⁠

x = ⁠3/5⁠ and x = ⁠2/5⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Tails (29 by age at that time)

6x² – 19x + 10 = 0

a = 6, b = –19 and c = 10

b² – 4ac = 121

x = ⁠19 ± √121/12⁠

x = ⁠19 ± 11/12⁠

x = ⁠5/2⁠ and x = ⁠2/3⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Mina (37 by age at that time)

10x² – 19x + 6 = 0

a = 10, b = –19 and c = 6

b² – 4ac = 121

x = ⁠19 ± √121/20⁠

x = ⁠19 ± 11/20⁠

x = ⁠3/2⁠ and x = ⁠2/5⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Tikal (35 by age at that time)

9x² – 21x + 10 = 0

a = 9, b = –21 and c = 10

b² – 4ac = 81

x = ⁠21 ± √81/18⁠

x = ⁠21 ± 9/18⁠

x = ⁠7 ± 3/6⁠

x = ⁠5/3⁠ and x = ⁠2/3⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Rouge (38 by age at that time)

10x² – 21x + 9 = 0

a = 10, b = –21 and c = 9

b² – 4ac = 81

x = ⁠21 ± √81/20⁠

x = ⁠21 ± 9/20⁠

x = ⁠3/2⁠ and x = ⁠3/5⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Blaze (35 by age at that time)

10x² – 31x + 15 = 0

a = 10, b = –31 and c = 15

b² – 4ac = 361

x = ⁠31 ± √361/20⁠

x = ⁠31 ± 19/20⁠

x = ⁠5/2⁠ and x = ⁠3/5⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Sally (36 by age at that time)

15x² – 31x + 10 = 0

a = 15, b = –31 and c = 10

b² – 4ac = 361

x = ⁠31 ± √361/30⁠

x = ⁠31 ± 19/30⁠

x = ⁠5/3⁠ and x = ⁠2/5⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Marine (28 by age at that time)

6x² – 13x + 6 = 0

a = 6, b = –13 and c = 6

b² – 4ac = 25

x = ⁠13 ± √25/12⁠

x = ⁠13 ± 5/12⁠

x = ⁠3/2⁠ and x = ⁠2/3⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Amy (32 by age at that time)

10x² – 29x + 10 = 0

a = 10, b = –29 and c = 10

b² – 4ac = 441

x = ⁠29 ± √441/20⁠

x = ⁠29 ± 21/20⁠

x = ⁠5/2⁠ and x = ⁠2/5⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Tangle (35 by age at that time)

15x² – 34x + 15 = 0

a = 15, b = –34 and c = 15

b² – 4ac = 256

x = ⁠34 ± √256/30⁠

x = ⁠34 ± 16/30⁠

x = ⁠17 ± 8/15⁠

x = ⁠5/3⁠ and x = ⁠3/5⁠

Quadratic equation solved by the formula in late June or early summer 2022 by Knuckles (36 by age at that time)

Quadratic expressions converted to other forms

4x² – 16x + 15 = (2x – 4)² – 1

4x² – 16x + 15 = (2x – 3)(2x – 5)

(2x – 4)² – 1 = (2x – 3)(2x – 5)

Quadratic expression converted to other forms in late June or early summer 2022 by Shadow (37 by age at that time)

15x² – 16x + 4 = ⁠(15x – 8)² – 4/15⁠

15x² – 16x + 4 = (5x – 2)(3x – 2)

⁠(15x – 8)² – 4/15⁠ = (5x – 2)(3x – 2)

Quadratic expression converted to other forms in late June or early summer 2022 by Silver (35 by age at that time)

6x² – 19x + 15 = ⁠(12x – 19)² – 1/24⁠

6x² – 19x + 15 = (2x – 3)(3x – 5)

⁠(12x – 19)² – 1/24⁠ = (2x – 3)(3x – 5)

Quadratic expression converted to other forms in late June or early summer 2022 by Mighty (37 by age at that time)

15x² – 19x + 6 = ⁠(30x – 19)² – 1/60⁠

15x² – 19x + 6 = (5x – 3)(3x – 2)

⁠(30x – 19)² – 1/60⁠ = (5x – 3)(3x – 2)

Quadratic expression converted to other forms in late June or early summer 2022 by Sonic (36 by age at that time)

6x² – 25x + 25 = ⁠(12x – 25)² – 25/24⁠

6x² – 25x + 25 = (3x – 5)(2x – 5)

⁠(12x – 25)² – 25/24⁠ = (3x – 5)(2x – 5)

Quadratic expression converted to other forms in late June or early summer 2022 by Ray (30 by age at that time)

25x² – 25x + 6 = ⁠(10x – 5)² – 1/4⁠

25x² – 25x + 6 = (5x – 2)(5x – 3)

⁠(10x – 5)² – 1/4⁠ = (5x – 2)(5x – 3)

Quadratic expression converted to other forms in late June or early summer 2022 by Tails (29 by age at that time)

6x² – 19x + 10 = ⁠(12x – 19)² – 121/24⁠

6x² – 19x + 10 = (3x – 2)(2x – 5)

⁠(12x – 19)² – 121/24⁠ = (3x – 2)(2x – 5)

Quadratic expression converted to other forms in late June or early summer 2022 by Mina (37 by age at that time)

10x² – 19x + 6 = ⁠(20x – 19)² – 121/40⁠

10x² – 19x + 6 = (5x – 2)(2x – 3)

⁠(20x – 19)² – 121/40⁠ = (5x – 2)(2x – 3)

Quadratic expression converted to other forms in late June or early summer 2022 by Tikal (35 by age at that time)

9x² – 21x + 10 = ⁠(6x – 7)² – 9/4⁠

9x² – 21x + 10 = (3x – 2)(3x – 5)

⁠(6x – 7)² – 9/4⁠ = (3x – 2)(3x – 5)

Quadratic expression converted to other forms in late June or early summer 2022 by Rouge (38 by age at that time)

10x² – 21x + 9 = ⁠(20x – 21)² – 81/40⁠

10x² – 21x + 9 = (5x – 3)(2x – 3)

⁠(20x – 21)² – 81/40⁠ = (5x – 3)(2x – 3)

Quadratic expression converted to other forms in late June or early summer 2022 by Blaze (35 by age at that time)

10x² – 31x + 15 = ⁠(20x – 31)² – 361/40⁠

10x² – 31x + 15 = (5x – 3)(2x – 5)

⁠(20x – 31)² – 361/40⁠ = (5x – 3)(2x – 5)

Quadratic expression converted to other forms in late June or early summer 2022 by Sally (36 by age at that time)

15x² – 31x + 10 = ⁠(30x – 31)² – 361/60⁠

15x² – 31x + 10 = (5x – 2)(3x – 5)

⁠(30x – 31)² – 361/60⁠ = (5x – 2)(3x – 5)

Quadratic expression converted to other forms in late June or early summer 2022 by Marine (28 by age at that time)

6x² – 13x + 6 = ⁠(12x – 13)² – 25/24⁠

6x² – 13x + 6 = (3x – 2)(2x – 3)

⁠(12x – 13)² – 25/24⁠ = (3x – 2)(2x – 3)

Quadratic expression converted to other forms in late June or early summer 2022 by Amy (32 by age at that time)

10x² – 29x + 10 = ⁠(20x – 29)² – 441/40⁠

10x² – 29x + 10 = (5x – 2)(2x – 5)

⁠(20x – 29)² – 441/40⁠ = (5x – 2)(2x – 5)

Quadratic expression converted to other forms in late June or early summer 2022 by Tangle (35 by age at that time)

15x² – 34x + 15 = ⁠(15x – 17)² – 64/15⁠

15x² – 34x + 15 = (5x – 3)(3x – 5)

⁠(15x – 17)² – 64/15⁠ = (5x – 3)(3x – 5)

Quadratic expression converted to other forms in late June or early summer 2022 by Knuckles (36 by age at that time)

Quadratic expression ranges

4x² – 16x + 15 >= –1

Quadratic expression range defined in late June or early summer 2022 by Shadow (37 by age at that time)

15x² – 16x + 4 >= –⁠4/15⁠

Quadratic expression range defined in late June or early summer 2022 by Silver (35 by age at that time)

6x² – 19x + 15 >= –⁠1/24⁠

Quadratic expression range defined in late June or early summer 2022 by Mighty (37 by age at that time)

15x² – 19x + 6 >= –⁠1/60⁠

Quadratic expression range defined in late June or early summer 2022 by Sonic (36 by age at that time)

6x² – 25x + 25 >= –⁠25/24⁠

Quadratic expression range defined in late June or early summer 2022 by Ray (30 by age at that time)

25x² – 25x + 6 >= –⁠1/4⁠

Quadratic expression range defined in late June or early summer 2022 by Tails (29 by age at that time)

6x² – 19x + 10 >= –⁠121/24⁠

Quadratic expression range defined in late June or early summer 2022 by Mina (37 by age at that time)

10x² – 19x + 6 >= –⁠121/40⁠

Quadratic expression range defined in late June or early summer 2022 by Tikal (35 by age at that time)

9x² – 21x + 10 >= –⁠9/4⁠

Quadratic expression range defined in late June or early summer 2022 by Rouge (38 by age at that time)

10x² – 21x + 9 >= –⁠81/40⁠

Quadratic expression range defined in late June or early summer 2022 by Blaze (35 by age at that time)

10x² – 31x + 15 >= –⁠361/40⁠

Quadratic expression range defined in late June or early summer 2022 by Sally (36 by age at that time)

15x² – 31x + 10 >= –⁠361/60⁠

Quadratic expression range defined in late June or early summer 2022 by Marine (28 by age at that time)

6x² – 13x + 6 >= –⁠25/24⁠

Quadratic expression range defined in late June or early summer 2022 by Amy (32 by age at that time)

10x² – 29x + 10 >= –⁠441/40⁠

Quadratic expression range defined in late June or early summer 2022 by Tangle (35 by age at that time)

15x² – 34x + 15 >= –⁠64/15⁠

Quadratic expression range defined in late June or early summer 2022 by Knuckles (36 by age at that time)

Quadratic function switches

4x² – 16x + 15 = y

4x² – 16x + 16 = y + 1

(2x – 4)² = y + 1

2x – 4 = ±√y + 1

2x = 4 ± √y + 1

x = ⁠4 ± √y + 1/2⁠

Quadratic function switch performed in late June or early summer 2022 by Shadow (37 by age at that time)

15x² – 16x + 4 = y

225x² – 240x + 60 = 15y

225x² – 240x + 64 = 15y + 4

(15x – 8)² = 15y + 4

15x – 8 = ±√15y + 4

15x = 8 ± √15y + 4

x = ⁠8 ± √15y + 4/15⁠

Quadratic function switch performed in late June or early summer 2022 by Silver (35 by age at that time)

6x² – 19x + 15 = y

144x² – 456x + 360 = 24y

144x² – 456x + 361 = 24y + 1

(12x – 19)² = 24y + 1

12x – 19 = ±√24y + 1

12x = 19 ± √24y + 1

x = ⁠19 ± √24y + 1/12⁠

Quadratic function switch performed in late June or early summer 2022 by Mighty (37 by age at that time)

15x² – 19x + 6 = y

900x² – 1,140x + 360 = 60y

900x² – 1,140x + 361 = 60y + 1

(30x – 19)² = 60y + 1

30x – 19 = ±√60y + 1

30x = 19 ± √60y + 1

x = ⁠19 ± √60y + 1/30⁠

Quadratic function switch performed in late June or early summer 2022 by Sonic (36 by age at that time)

6x² – 25x + 25 = y

144x² – 600x + 600 = 24y

144x² – 600x + 625 = 24y + 25

(12x – 25)² = 24y + 25

12x – 25 = ±√24y + 25

12x = 25 ± √24y + 25

x = ⁠25 ± √24y + 25/12⁠

Quadratic function switch performed in late June or early summer 2022 by Ray (30 by age at that time)

25x² – 25x + 6 = y

100x² – 100x + 24 = 4y

100x² – 100x + 25 = 4y + 1

(10x – 5)² = 4y + 1

10x – 5 = ±√4y + 1

10x = 5 ± √4y + 1

x = ⁠5 ± √4y + 1/10⁠

Quadratic function switch performed in late June or early summer 2022 by Tails (29 by age at that time)

6x² – 19x + 10 = y

144x² – 456x + 240 = 24y

144x² – 456x + 361 = 24y + 121

(12x – 19)² = 24y + 121

12x – 19 = ±√24y + 121

12x = 19 ± √24y + 121

x = ⁠19 ± √24y + 121/12⁠

Quadratic function switch performed in late June or early summer 2022 by Mina (37 by age at that time)

10x² – 19x + 6 = y

400x² – 760x + 240 = 40y

400x² – 760x + 361 = 40y + 121

(20x – 19)² = 40y + 121

20x – 19 = ±√40y + 121

20x = 19 ± √40y + 121

x = ⁠19 ± √40y + 121/20⁠

Quadratic function switch performed in late June or early summer 2022 by Tikal (35 by age at that time)

9x² – 21x + 10 = y

36x² – 84x + 40 = 4y

36x² – 84x + 49 = 4y + 9

(6x – 7)² = 4y + 9

6x – 7 = ±√4y + 9

6x = 7 ± √4y + 9

x = ⁠7 ± √4y + 9/6⁠

Quadratic function switch performed in late June or early summer 2022 by Rouge (38 by age at that time)

10x² – 21x + 9 = y

400x² – 840x + 360 = 40y

400x² – 840x + 441 = 40y + 81

(20x – 21)² = 40y + 81

20x – 21 = ±√40y + 81

20x = 21 ± √40y + 81

x = ⁠21 ± √40y + 81/20⁠

Quadratic function switch performed in late June or early summer 2022 by Blaze (35 by age at that time)

10x² – 31x + 15 = y

400x² – 1,240x + 600 = 40y

400x² – 1,240x + 961 = 40y + 361

(20x – 31)² = 40y + 361

20x – 31 = ±√40y + 361

20x = 31 ± √40y + 361

x = ⁠31 ± √40y + 361/20⁠

Quadratic function switch performed in late June or early summer 2022 by Sally (36 by age at that time)

15x² – 31x + 10 = y

900x² – 1,860x + 600 = 60y

900x² – 1,860x + 961 = 60y + 361

(30x – 31)² = 60y + 361

30x – 31 = ±√60y + 361

30x = 31 ± √60y + 361

x = ⁠31 ± √60y + 361/30⁠

Quadratic function switch performed in late June or early summer 2022 by Marine (28 by age at that time)

6x² – 13x + 6 = y

144x² – 312x + 144 = 24y

144x² – 312x + 169 = 24y + 25

(12x – 13)² = 24y + 25

12x – 13 = ±√24y + 25

12x = 13 ± √24y + 25

x = ⁠13 ± √24y + 25/12⁠

Quadratic function switch performed in late June or early summer 2022 by Amy (32 by age at that time)

10x² – 29x + 10 = y

400x² – 1,160x + 400 = 40y

400x² – 1,160x + 841 = 40y + 441

(20x – 29)² = 40y + 441

20x – 29 = ±√40y + 441

20x = 29 ± √40y + 441

x = ⁠29 ± √40y + 441/20⁠

Quadratic function switch performed in late June or early summer 2022 by Tangle (35 by age at that time)

15x² – 34x + 15 = y

225x² – 510x + 225 = 15y

225x² – 510x + 289 = 15y + 64

(15x – 17)² = 15y + 64

15x – 17 = ±√15y + 64

15x = 17 ± √15y + 64

x = ⁠17 ± √15y + 64/15⁠

Quadratic function switch performed in late June or early summer 2022 by Knuckles (36 by age at that time)

Equation systems solved

x + y = 4

4xy = 15

y = 4 – x

4x(4 – x) = 15

4x² – 16x + 15 = 0

(2x – 3)(2x – 5) = 0

x = ⁠3/2⁠ and x = ⁠5/2⁠

y = ⁠5/2⁠ and y = ⁠3/2⁠

(⁠3/2⁠, ⁠5/2⁠) and (⁠5/2⁠, ⁠3/2⁠)

Equation system solved in late June or early summer 2022 by Shadow (37 by age at that time)

15x + 15y = 16

15xy = 4

15y = 16 – 15x

y = ⁠16 – 15x/15⁠

15x(⁠16 – 15x/15⁠) = 4

15x² – 16x + 4 = 0

(5x – 2)(3x – 2) = 0

x = ⁠2/5⁠ and x = ⁠2/3⁠

y = ⁠2/3⁠ and y = ⁠2/5⁠

(⁠2/5⁠, ⁠2/3⁠) and (⁠2/3⁠, ⁠2/5⁠)

Equation system solved in late June or early summer 2022 by Silver (35 by age at that time)

6x + 6y = 19

2xy = 5

6y = 19 – 6x

y = ⁠19 – 6x/6⁠

2x(⁠19 – 6x/6⁠) = 5

6x² – 19x + 15 = 0

(2x – 3)(3x – 5) = 0

x = ⁠3/2⁠ and x = ⁠5/3⁠

y = ⁠5/3⁠ and y = ⁠3/2⁠

(⁠3/2⁠, ⁠5/3⁠) and (⁠5/3⁠, ⁠3/2⁠)

Equation system solved in late June or early summer 2022 by Mighty (37 by age at that time)

15x + 15y = 19

5xy = 2

15y = 19 – 15x

y = ⁠19 – 15x/15⁠

5x(⁠19 – 15x/15⁠) = 2

15x² – 19x + 6 = 0

(5x – 3)(3x – 2) = 0

x = ⁠3/5⁠ and x = ⁠2/3⁠

y = ⁠2/3⁠ and y = ⁠3/5⁠

(⁠3/5⁠, ⁠2/3⁠) and (⁠2/3⁠, ⁠3/5⁠)

Equation system solved in late June or early summer 2022 by Sonic (36 by age at that time)

6x + 6y = 25

6xy = 25

6y = 25 – 6x

y = ⁠25 – 6x/6⁠

6x(⁠25 – 6x/6⁠) = 25

6x² – 25x + 25 = 0

(3x – 5)(2x – 5) = 0

x = ⁠5/3⁠ and x = ⁠5/2⁠

y = ⁠5/2⁠ and y = ⁠5/3⁠

(⁠5/3⁠, ⁠5/2⁠) and (⁠5/2⁠, ⁠5/3⁠)

Equation system solved in late June or early summer 2022 by Ray (30 by age at that time)

x + y = 1

25xy = 6

y = 1 – x

25x(1 – x) = 6

25x² – 25x + 6 = 0

(5x – 2)(5x – 3) = 0

x = ⁠2/5⁠ and x = ⁠3/5⁠

y = ⁠3/5⁠ and y = ⁠2/5⁠

(⁠2/5⁠, ⁠3/5⁠) and (⁠3/5⁠, ⁠2/5⁠)

Equation system solved in late June or early summer 2022 by Tails (29 by age at that time)

6x + 6y = 19

3xy = 5

6y = 19 – 6x

y = ⁠19 – 6x/6⁠

3x(⁠19 – 6x/6⁠) = 5

6x² – 19x + 10 = 0

(3x – 2)(2x – 5) = 0

x = ⁠2/3⁠ and x = ⁠5/2⁠

y = ⁠5/2⁠ and y = ⁠2/3⁠

(⁠2/3⁠, ⁠5/2⁠) and (⁠5/2⁠, ⁠2/3⁠)

Equation system solved in late June or early summer 2022 by Mina (37 by age at that time)

10x + 10y = 19

5xy = 3

10y = 19 – 10x

y = ⁠19 – 10x/10⁠

5x(⁠19 – 10x/10⁠) = 3

10x² – 19x + 6 = 0

(5x – 2)(2x – 3) = 0

x = ⁠2/5⁠ and x = ⁠3/2⁠

y = ⁠3/2⁠ and y = ⁠2/5⁠

(⁠2/5⁠, ⁠3/2⁠) and (⁠3/2⁠, ⁠2/5⁠)

Equation system solved in late June or early summer 2022 by Tikal (35 by age at that time)

3x + 3y = 7

9xy = 10

3y = 7 – 3x

y = ⁠7 – 3x/3⁠

9x(⁠7 – 3x/3⁠) = 10

9x² – 21x + 10 = 0

(3x – 2)(3x – 5) = 0

x = ⁠2/3⁠ and x = ⁠5/3⁠

y = ⁠5/3⁠ and y = ⁠2/3⁠

(⁠2/3⁠, ⁠5/3⁠) and (⁠5/3⁠, ⁠2/3⁠)

Equation system solved in late June or early summer 2022 by Rouge (38 by age at that time)

10x + 10y = 21

10xy = 9

10y = 21 – 10x

y = ⁠21 – 10x/10⁠

10x(⁠21 – 10x/10⁠) = 9

10x² – 21x + 9 = 0

(5x – 3)(2x – 3) = 0

x = ⁠3/5⁠ and x = ⁠3/2⁠

y = ⁠3/2⁠ and y = ⁠3/5⁠

(⁠3/5⁠, ⁠3/2⁠) and (⁠3/2⁠, ⁠3/5⁠)

Equation system solved in late June or early summer 2022 by Blaze (35 by age at that time)

10x + 10y = 31

2xy = 3

10y = 31 – 10x

y = ⁠31 – 10x/10⁠

2x(⁠31 – 10x/10⁠) = 3

10x² – 31x + 15 = 0

(5x – 3)(2x – 5) = 0

x = ⁠3/5⁠ and x = ⁠5/2⁠

y = ⁠5/2⁠ and y = ⁠3/5⁠

(⁠3/5⁠, ⁠5/2⁠) and (⁠5/2⁠, ⁠3/5⁠)

Equation system solved in late June or early summer 2022 by Sally (36 by age at that time)

15x + 15y = 31

3xy = 2

15y = 31 – 15x

y = ⁠31 – 15x/15⁠

3x(⁠31 – 15x/15⁠) = 2

15x² – 31x + 10 = 0

(5x – 2)(3x – 5) = 0

x = ⁠2/5⁠ and x = ⁠5/3⁠

y = ⁠5/3⁠ and y = ⁠2/5⁠

(⁠2/5⁠, ⁠5/3⁠) and (⁠5/3⁠, ⁠2/5⁠)

Equation system solved in late June or early summer 2022 by Marine (28 by age at that time)

6x + 6y = 13

xy = 1

6y = 13 – 6x

y = ⁠13 – 6x/6⁠

x(⁠13 – 6x/6⁠) = 1

6x² – 13x + 6 = 0

(3x – 2)(2x – 3) = 0

x = ⁠2/3⁠ and x = ⁠3/2⁠

y = ⁠3/2⁠ and y = ⁠2/3⁠

(⁠2/3⁠, ⁠3/2⁠) and (⁠3/2⁠, ⁠2/3⁠)

Equation system solved in late June or early summer 2022 by Amy (32 by age at that time)

10x + 10y = 29

xy = 1

10y = 29 – 10x

y = ⁠29 – 10x/10⁠

x(⁠29 – 10x/10⁠) = 1

10x² – 29x + 10 = 0

(5x – 2)(2x – 5) = 0

x = ⁠2/5⁠ and x = ⁠5/2⁠

y = ⁠5/2⁠ and y = ⁠2/5⁠

(⁠2/5⁠, ⁠5/2⁠) and (⁠5/2⁠, ⁠2/5⁠)

Equation system solved in late June or early summer 2022 by Tangle (35 by age at that time)

15x + 15y = 34

xy = 1

15y = 34 – 15x

y = ⁠34 – 15x/15⁠

x(⁠34 – 15x/15⁠) = 1

15x² – 34x + 15 = 0

(5x – 3)(3x – 5) = 0

x = ⁠3/5⁠ and x = ⁠5/3⁠

y = ⁠5/3⁠ and y = ⁠3/5⁠

(⁠3/5⁠, ⁠5/3⁠) and (⁠5/3⁠, ⁠3/5⁠)

Equation system solved in late June or early summer 2022 by Knuckles (36 by age at that time)

Tangents to parabolae at intersection points relative to the horizontal axis

4x + y = 6 at (⁠3/2⁠, 0)

y = 4x – 10 at (⁠5/2⁠, 0)

Tangents to y = 4x² – 16x + 15, the parabola drawn in late June or early summer 2022 by Shadow (37 by age at that time), at intersection points relative to the x-axis

20x + 5y = 8 at (⁠2/5⁠, 0)

3y = 12x – 8 at (⁠2/3⁠, 0)

Tangents to y = 15x² – 16x + 4, the parabola drawn in late June or early summer 2022 by Silver (35 by age at that time), at intersection points relative to the x-axis

2x + 2y = 3 at (⁠3/2⁠, 0)

3y = 3x – 5 at (⁠5/3⁠, 0)

Tangents to y = 6x² – 19x + 15, the parabola drawn in late June or early summer 2022 by Mighty (37 by age at that time), at intersection points relative to the x-axis

5x + 5y = 3 at (⁠3/5⁠, 0)

3y = 3x – 2 at (⁠2/3⁠, 0)

Tangents to y = 15x² – 19x + 6, the parabola drawn in late June or early summer 2022 by Sonic (36 by age at that time), at intersection points relative to the x-axis

15x + 3y = 25 at (⁠5/3⁠, 0)

2y = 10x – 25 at (⁠5/2⁠, 0)

Tangents to y = 6x² – 25x + 25, the parabola drawn in late June or early summer 2022 by Ray (30 by age at that time), at intersection points relative to the x-axis

5x + y = 2 at (⁠2/5⁠, 0)

y = 5x – 3 at (⁠3/5⁠, 0)

Tangents to y = 25x² – 25x + 6, the parabola drawn in late June or early summer 2022 by Tails (29 by age at that time), at intersection points relative to the x-axis

33x + 3y = 22 at (⁠2/3⁠, 0)

2y = 22x – 55 at (⁠5/2⁠, 0)

Tangents to y = 6x² – 19x + 10, the parabola drawn in late June or early summer 2022 by Mina (37 by age at that time), at intersection points relative to the x-axis

55x + 5y = 22 at (⁠2/5⁠, 0)

2y = 22x – 33 at (⁠3/2⁠, 0)

Tangents to y = 10x² – 19x + 6, the parabola drawn in late June or early summer 2022 by Tikal (35 by age at that time), at intersection points relative to the x-axis

9x + y = 6 at (⁠2/3⁠, 0)

y = 9x – 15 at (⁠5/3⁠, 0)

Tangents to y = 9x² – 21x + 10, the parabola drawn in late June or early summer 2022 by Rouge (38 by age at that time), at intersection points relative to the x-axis

45x + 5y = 27 at (⁠3/5⁠, 0)

2y = 18x – 27 at (⁠3/2⁠, 0)

Tangents to y = 10x² – 21x + 9, the parabola drawn in late June or early summer 2022 by Blaze (35 by age at that time), at intersection points relative to the x-axis

95x + 5y = 57 at (⁠3/5⁠, 0)

2y = 38x – 95 at (⁠5/2⁠, 0)

Tangents to y = 10x² – 31x + 15, the parabola drawn in late June or early summer 2022 by Sally (36 by age at that time), at intersection points relative to the x-axis

95x + 5y = 38 at (⁠2/5⁠, 0)

3y = 57x – 95 at (⁠5/3⁠, 0)

Tangents to y = 15x² – 31x + 10, the parabola drawn in late June or early summer 2022 by Marine (28 by age at that time), at intersection points relative to the x-axis

15x + 3y = 10 at (⁠2/3⁠, 0)

2y = 10x – 15 at (⁠3/2⁠, 0)

Tangents to y = 6x² – 13x + 6, the parabola drawn in late June or early summer 2022 by Amy (32 by age at that time), at intersection points relative to the x-axis

105x + 5y = 42 at (⁠2/5⁠, 0)

2y = 42x – 105 at (⁠5/2⁠, 0)

Tangents to y = 10x² – 29x + 10, the parabola drawn in late June or early summer 2022 by Tangle (35 by age at that time), at intersection points relative to the x-axis

80x + 5y = 48 at (⁠3/5⁠, 0)

3y = 48x – 80 at (⁠5/3⁠, 0)

Tangents to y = 15x² – 34x + 15, the parabola drawn in late June or early summer 2022 by Knuckles (36 by age at that time), at intersection points relative to the x-axis

Sayings focusing on quadratic equations

In late June or early summer 2022:

• Shadow (37 by age at that time) said “4x² – 16x + 15 = 0 becomes (2x – 4)² = 1. My theory shows that (2x – 4)² is on the left side and that one is on the right side. x = ⁠3/2⁠ and x = ⁠5/2⁠ are solutions to my quadratic equation.”

• Silver (35 by age at that time) said “15x² – 16x + 4 = 0 becomes (15x – 8)² = 4. My theory shows that (15x – 8)² is on the left side and that four is on the right side. x = ⁠2/5⁠ and x = ⁠2/3⁠ are solutions to my quadratic equation.”

• Mighty (37 by age at that time) said “6x² – 19x + 15 = 0 becomes (12x – 19)² = 1. My theory shows that (12x – 19)² is on the left side and that one is on the right side. x = ⁠3/2⁠ and x = ⁠5/3⁠ are solutions to my quadratic equation.”

• Sonic (36 by age at that time) said “15x² – 19x + 6 = 0 becomes (30x – 19)² = 1. My theory shows that (30x – 19)² is on the left side and that one is on the right side. x = ⁠3/5⁠ and x = ⁠2/3⁠ are solutions to my quadratic equation.”

• Ray (30 by age at that time) said “6x² – 25x + 25 = 0 becomes (12x – 25)² = 25. My theory shows that (12x – 25)² is on the left side and that 25 is on the right side. x = ⁠5/3⁠ and x = ⁠5/2⁠ are solutions to my quadratic equation.”

• Tails (29 by age at that time) said “25x² – 25x + 6 = 0 becomes (10x – 5)² = 1. My theory shows that (10x – 5)² is on the left side and that one is on the right side. x = ⁠2/5⁠ and x = ⁠3/5⁠ are solutions to my quadratic equation.”

• Mina (37 by age at that time) said “6x² – 19x + 10 = 0 becomes (12x – 19)² = 121. My theory shows that (12x – 19)² is on the left side and that 121 is on the right side. x = ⁠2/3⁠ and x = ⁠5/2⁠ are solutions to my quadratic equation.”

• Tikal (35 by age at that time) said “10x² – 19x + 6 = 0 becomes (20x – 19)² = 121. My theory shows that (20x – 19)² is on the left side and that 121 is on the right side. x = ⁠2/5⁠ and x = ⁠3/2⁠ are solutions to my quadratic equation.”

• Rouge (38 by age at that time) said “9x² – 21x + 10 = 0 becomes (6x – 7)² = 9. My theory shows that (6x – 7)² is on the left side and that nine is on the right side. x = ⁠2/3⁠ and x = ⁠5/3⁠ are solutions to my quadratic equation.”

• Blaze (35 by age at that time) said “10x² – 21x + 9 = 0 becomes (20x – 21)² = 81. My theory shows that (20x – 21)² is on the left side and that 81 is on the right side. x = ⁠3/5⁠ and x = ⁠3/2⁠ are solutions to my quadratic equation.”

• Sally (36 by age at that time) said “10x² – 31x + 15 = 0 becomes (20x – 31)² = 361. My theory shows that (20x – 31)² is on the left side and that 361 is on the right side. x = ⁠3/5⁠ and x = ⁠5/2⁠ are solutions to my quadratic equation.”

• Marine (28 by age at that time) said “15x² – 31x + 10 = 0 becomes (30x – 31)² = 361. My theory shows that (30x – 31)² is on the left side and that 361 is on the right side. x = ⁠2/5⁠ and x = ⁠5/3⁠ are solutions to my quadratic equation.”

• Amy (32 by age at that time) said “6x² – 13x + 6 = 0 becomes (12x – 13)² = 25. My theory shows that (12x – 13)² is on the left side and that 25 is on the right side. x = ⁠2/3⁠ and x = ⁠3/2⁠ are solutions to my quadratic equation.”

• Tangle (35 by age at that time) said “10x² – 29x + 10 = 0 becomes (20x – 29)² = 441. My theory shows that (20x – 29)² is on the left side and that 441 is on the right side. x = ⁠2/5⁠ and x = ⁠5/2⁠ are solutions to my quadratic equation.”

• Knuckles (36 by age at that time) said “15x² – 34x + 15 = 0 becomes (15x – 17)² = 64. My theory shows that (15x – 17)² is on the left side and that 64 is on the right side. x = ⁠3/5⁠ and x = ⁠5/3⁠ are solutions to my quadratic equation.”

Sayings focusing on quadratic expressions

In late June or early summer 2022:

• Shadow (37 by age at that time) said “(4x² – 16x + 15) is written in vertex form as {(2x – 4)² – 1} and in factorized form as (2x – 3)(2x – 5). It decreases for x < 2, i.e. before x = 2, has a minimum stationary value, written as negative one, at x = 2, increases for x > 2, i.e. after x = 2, and is negative for ⁠3/2⁠ < x < ⁠5/2⁠, i.e. after x = ⁠3/2⁠ but before x = ⁠5/2⁠, zero at x = ⁠3/2⁠ and x = ⁠5/2⁠ and positive for x < ⁠3/2⁠, i.e. before x = ⁠3/2⁠, and x > ⁠5/2⁠, i.e. after x = ⁠5/2⁠.”

• Silver (35 by age at that time) said “(15x² – 16x + 4) is written in vertex form as ⁠(15x – 8)² – 4/15⁠ and in factorized form as (5x – 2)(3x – 2). It decreases for x < ⁠8/15⁠, i.e. before x = ⁠8/15⁠, has a minimum stationary value, written as –⁠4/15⁠, at x = ⁠8/15⁠, increases for x > ⁠8/15⁠, i.e. after x = ⁠8/15⁠, and is negative for ⁠2/5⁠ < x < ⁠2/3⁠, i.e. after x = ⁠2/5⁠ but before x = ⁠2/3⁠, zero at x = ⁠2/5⁠ and x = ⁠2/3⁠ and positive for x < ⁠2/5⁠, i.e. before x = ⁠2/5⁠, and x > ⁠2/3⁠, i.e. after x = ⁠2/3⁠.”

• Mighty (37 by age at that time) said “(6x² – 19x + 15) is written in vertex form as ⁠(12x – 19)² – 1/24⁠ and in factorized form as (2x – 3)(3x – 5). It decreases for x < ⁠19/12⁠, i.e. before x = ⁠19/12⁠, has a minimum stationary value, written as –⁠1/24⁠, at x = ⁠19/12⁠, increases for x > ⁠19/12⁠, i.e. after x = ⁠19/12⁠, and is negative for ⁠3/2⁠ < x < ⁠5/3⁠, i.e. after x = ⁠3/2⁠ but before x = ⁠5/3⁠, zero at x = ⁠3/2⁠ and x = ⁠5/3⁠ and positive for x < ⁠3/2⁠, i.e. before x = ⁠3/2⁠, and x > ⁠5/3⁠, i.e. after x = ⁠5/3⁠.”

• Sonic (36 by age at that time) said “(15x² – 19x + 6) is written in vertex form as ⁠(30x – 19)² – 1/60⁠ and in factorized form as (5x – 3)(3x – 2). It decreases for x < ⁠19/30⁠, i.e. before x = ⁠19/30⁠, has a minimum stationary value, written as –⁠1/60⁠, at x = ⁠19/30⁠, increases for x > ⁠19/30⁠, i.e. after x = ⁠19/30⁠, and is negative for ⁠3/5⁠ < x < ⁠2/3⁠, i.e. after x = ⁠3/5⁠ but before x = ⁠2/3⁠, zero at x = ⁠3/5⁠ and x = ⁠2/3⁠ and positive for x < ⁠3/5⁠, i.e. before x = ⁠3/5⁠, and x > ⁠2/3⁠, i.e. after x = ⁠2/3⁠.”

• Ray (30 by age at that time) said “(6x² – 25x + 25) is written in vertex form as ⁠(12x – 25)² – 25/24⁠ and in factorized form as (3x – 5)(2x – 5). It decreases for x < ⁠25/12⁠, i.e. before x = ⁠25/12⁠, has a minimum stationary value, written as –⁠25/24⁠, at x = ⁠25/12⁠, increases for x > ⁠25/12⁠, i.e. after x = ⁠25/12⁠, and is negative for ⁠5/3⁠ < x < ⁠5/2⁠, i.e. after x = ⁠5/3⁠ but before x = ⁠5/2⁠, zero at x = ⁠5/3⁠ and x = ⁠5/2⁠ and positive for x < ⁠5/3⁠, i.e. before x = ⁠5/3⁠, and x > ⁠5/2⁠, i.e. after x = ⁠5/2⁠.”

• Tails (29 by age at that time) said “(25x² – 25x + 6) is written in vertex form as ⁠(10x – 5)² – 1/4⁠ and in factorized form as (5x – 2)(5x – 3). It decreases for x < ⁠1/2⁠, i.e. before x = ⁠1/2⁠, has a minimum stationary value, written as –⁠1/4⁠, at x = ⁠1/2⁠, increases for x > ⁠1/2⁠, i.e. after x = ⁠1/2⁠, and is negative for ⁠2/5⁠ < x < ⁠3/5⁠, i.e. after x = ⁠2/5⁠ but before x = ⁠3/5⁠, zero at x = ⁠2/5⁠ and x = ⁠3/5⁠ and positive for x < ⁠2/5⁠, i.e. before x = ⁠2/5⁠, and x > ⁠3/5⁠, i.e. after x = ⁠3/5⁠.”

• Mina (37 by age at that time) said “(6x² – 19x + 10) is written in vertex form as ⁠(12x – 19)² – 121/24⁠ and in factorized form as (3x – 2)(2x – 5). It decreases for x < ⁠19/12⁠, i.e. before x = ⁠19/12⁠, has a minimum stationary value, written as –⁠121/24⁠, at x = ⁠19/12⁠, increases for x > ⁠19/12⁠, i.e. after x = ⁠19/12⁠, and is negative for ⁠2/3⁠ < x < ⁠5/2⁠, i.e. after x = ⁠2/3⁠ but before x = ⁠5/2⁠, zero at x = ⁠2/3⁠ and x = ⁠5/2⁠ and positive for x < ⁠2/3⁠, i.e. before x = ⁠2/3⁠, and x > ⁠5/2⁠, i.e. after x = ⁠5/2⁠.”

• Tikal (35 by age at that time) said “(10x² – 19x + 6) is written in vertex form as ⁠(20x – 19)² – 121/40⁠ and in factorized form as (5x – 2)(2x – 3). It decreases for x < ⁠19/20⁠, i.e. before x = ⁠19/20⁠, has a minimum stationary value, written as –⁠121/40⁠, at x = ⁠19/20⁠, increases for x > ⁠19/20⁠, i.e. after x = ⁠19/20⁠, and is negative for ⁠2/5⁠ < x < ⁠3/2⁠, i.e. after x = ⁠2/5⁠ but before x = ⁠3/2⁠, zero at x = ⁠2/5⁠ and x = ⁠3/2⁠ and positive for x < ⁠2/5⁠, i.e. before x = ⁠2/5⁠, and x > ⁠3/2⁠, i.e. after x = ⁠3/2⁠.”

• Rouge (38 by age at that time) said “(9x² – 21x + 10) is written in vertex form as ⁠(6x – 7)² – 9/4⁠ and in factorized form as (3x – 2)(3x – 5). It decreases for x < ⁠7/6⁠, i.e. before x = ⁠7/6⁠, has a minimum stationary value, written as –⁠9/4⁠, at x = ⁠7/6⁠, increases for x > ⁠7/6⁠, i.e. after x = ⁠7/6⁠, and is negative for ⁠2/3⁠ < x < ⁠5/3⁠, i.e. after x = ⁠2/3⁠ but before x = ⁠5/3⁠, zero at x = ⁠2/3⁠ and x = ⁠5/3⁠ and positive for x < ⁠2/3⁠, i.e. before x = ⁠2/3⁠, and x > ⁠5/3⁠, i.e. after x = ⁠5/3⁠.”

• Blaze (35 by age at that time) said “(10x² – 21x + 9) is written in vertex form as ⁠(20x – 21)² – 81/40⁠ and in factorized form as (5x – 3)(2x – 3). It decreases for x < ⁠21/20⁠, i.e. before x = ⁠21/20⁠, has a minimum stationary value, written as –⁠81/40⁠, at x = ⁠21/20⁠, increases for x > ⁠21/20⁠, i.e. after x = ⁠21/20⁠, and is negative for ⁠3/5⁠ < x < ⁠3/2⁠, i.e. after x = ⁠3/5⁠ but before x = ⁠3/2⁠, zero at x = ⁠3/5⁠ and x = ⁠3/2⁠ and positive for x < ⁠3/5⁠, i.e. before x = ⁠3/5⁠, and x > ⁠3/2⁠, i.e. after x = ⁠3/2⁠.”

• Sally (36 by age at that time) said “(10x² – 31x + 15) is written in vertex form as ⁠(20x – 31)² – 361/40⁠ and in factorized form as (5x – 3)(2x – 5). It decreases for x < ⁠31/20⁠, i.e. before x = ⁠31/20⁠, has a minimum stationary value, written as –⁠361/40⁠, at x = ⁠31/20⁠, increases for x > ⁠31/20⁠, i.e. after x = ⁠31/20⁠, and is negative for ⁠3/5⁠ < x < ⁠5/2⁠, i.e. after x = ⁠3/5⁠ but before x = ⁠5/2⁠, zero at x = ⁠3/5⁠ and x = ⁠5/2⁠ and positive for x < ⁠3/5⁠, i.e. before x = ⁠3/5⁠, and x > ⁠5/2⁠, i.e. after x = ⁠5/2⁠.”

• Marine (28 by age at that time) said “(15x² – 31x + 10) is written in vertex form as ⁠(30x – 31)² – 361/60⁠ and in factorized form as (5x – 2)(3x – 5). It decreases for x < ⁠31/30⁠, i.e. before x = ⁠31/30⁠, has a minimum stationary value, written as –⁠361/60⁠, at x = ⁠31/30⁠, increases for x > ⁠31/30⁠, i.e. after x = ⁠31/30⁠, and is negative for ⁠2/5⁠ < x < ⁠5/3⁠, i.e. after x = ⁠2/5⁠ but before x = ⁠5/3⁠, zero at x = ⁠2/5⁠ and x = ⁠5/3⁠ and positive for x < ⁠2/5⁠, i.e. before x = ⁠2/5⁠, and x > ⁠5/3⁠, i.e. after x = ⁠5/3⁠.”

• Amy (32 by age at that time) said “(6x² – 13x + 6) is written in vertex form as ⁠(12x – 13)² – 25/24⁠ and in factorized form as (3x – 2)(2x – 3). It decreases for x < ⁠13/12⁠, i.e. before x = ⁠13/12⁠, has a minimum stationary value, written as –⁠25/24⁠, at x = ⁠13/12⁠, increases for x > ⁠13/12⁠, i.e. after x = ⁠13/12⁠, and is negative for ⁠2/3⁠ < x < ⁠3/2⁠, i.e. after x = ⁠2/3⁠ but before x = ⁠3/2⁠, zero at x = ⁠2/3⁠ and x = ⁠3/2⁠ and positive for x < ⁠2/3⁠, i.e. before x = ⁠2/3⁠, and x > ⁠3/2⁠, i.e. after x = ⁠3/2⁠.”

• Tangle (35 by age at that time) said “(10x² – 29x + 10) is written in vertex form as ⁠(20x – 29)² – 441/40⁠ and in factorized form as (5x – 2)(2x – 5). It decreases for x < ⁠29/20⁠, i.e. before x = ⁠29/20⁠, has a minimum stationary value, written as –⁠441/40⁠, at x = ⁠29/20⁠, increases for x > ⁠29/20⁠, i.e. after x = ⁠29/20⁠, and is negative for ⁠2/5⁠ < x < ⁠5/2⁠, i.e. after x = ⁠2/5⁠ but before x = ⁠5/2⁠, zero at x = ⁠2/5⁠ and x = ⁠5/2⁠ and positive for x < ⁠2/5⁠, i.e. before x = ⁠2/5⁠, and x > ⁠5/2⁠, i.e. after x = ⁠5/2⁠.”

• Knuckles (36 by age at that time) said “(15x² – 34x + 15) is written in vertex form as ⁠(15x – 17)² – 64/15⁠ and in factorized form as (5x – 3)(3x – 5). It decreases for x < ⁠17/15⁠, i.e. before x = ⁠17/15⁠, has a minimum stationary value, written as –⁠64/15⁠, at x = ⁠17/15⁠, increases for x > ⁠17/15⁠, i.e. after x = ⁠17/15⁠, and is negative for ⁠3/5⁠ < x < ⁠5/3⁠, i.e. after x = ⁠3/5⁠ but before x = ⁠5/3⁠, zero at x = ⁠3/5⁠ and x = ⁠5/3⁠ and positive for x < ⁠3/5⁠, i.e. before x = ⁠3/5⁠, and x > ⁠5/3⁠, i.e. after x = ⁠5/3⁠.”

Sayings focusing on quadratic function switches

In late June or early summer 2022:

• Shadow (37 by age at that time) said “4x² – 16x + 15 = y becomes (2x – 4)² = y + 1. My theory shows that (2x – 4)² is on the left side and that (y + 1) is on the right side. x = ⁠4 ± √y + 1/2⁠ is my switch.”

• Silver (35 by age at that time) said “15x² – 16x + 4 = y becomes (15x – 8)² = 15y + 4. My theory shows that (15x – 8)² is on the left side and that (15y + 4) is on the right side. x = ⁠8 ± √15y + 4/15⁠ is my switch.”

• Mighty (37 by age at that time) said “6x² – 19x + 15 = y becomes (12x – 19)² = 24y + 1. My theory shows that (12x – 19)² is on the left side and that (24y + 1) is on the right side. x = ⁠19 ± √24y + 1/12⁠ is my switch.”

• Sonic (36 by age at that time) said “15x² – 19x + 6 = y becomes (30x – 19)² = 60y + 1. My theory shows that (30x – 19)² is on the left side and that (60y + 1) is on the right side. x = ⁠19 ± √60y + 1/30⁠ is my switch.”

• Ray (30 by age at that time) said “6x² – 25x + 25 = y becomes (12x – 25)² = 24y + 25. My theory shows that (12x – 25)² is on the left side and that (24y + 25) is on the right side. x = ⁠25 ± √24y + 25/12⁠ is my switch.”

• Tails (29 by age at that time) said “25x² – 25x + 6 = y becomes (10x – 5)² = 4y + 1. My theory shows that (10x – 5)² is on the left side and that (4y + 1) is on the right side. x = ⁠5 ± √4y + 1/10⁠ is my switch.”

• Mina (37 by age at that time) said “6x² – 19x + 10 = y becomes (12x – 19)² = 24y + 121. My theory shows that (12x – 19)² is on the left side and that (24y + 121) is on the right side. x = ⁠19 ± √24y + 121/12⁠ is my switch.”

• Tikal (35 by age at that time) said “10x² – 19x + 6 = y becomes (20x – 19)² = 40y + 121. My theory shows that (20x – 19)² is on the left side and that (40y + 121) is on the right side. x = ⁠19 ± √40y + 121/20⁠ is my switch.”

• Rouge (38 by age at that time) said “9x² – 21x + 10 = y becomes (6x – 7)² = 4y + 9. My theory shows that (6x – 7)² is on the left side and that (4y + 9) is on the right side. x = ⁠7 ± √4y + 9/6⁠ is my switch.”

• Blaze (35 by age at that time) said “10x² – 21x + 9 = y becomes (20x – 21)² = 40y + 81. My theory shows that (20x – 21)² is on the left side and that (40y + 81) is on the right side. x = ⁠21 ± √40y + 81/20⁠ is my switch.”

• Sally (36 by age at that time) said “10x² – 31x + 15 = y becomes (20x – 31)² = 40y + 361. My theory shows that (20x – 31)² is on the left side and that (40y + 361) is on the right side. x = ⁠31 ± √40y + 361/20⁠ is my switch.”

• Marine (28 by age at that time) said “15x² – 31x + 10 = y becomes (30x – 31)² = 60y + 361. My theory shows that (30x – 31)² is on the left side and that (60y + 361) is on the right side. x = ⁠31 ± √60y + 361/30⁠ is my switch.”

• Amy (32 by age at that time) said “6x² – 13x + 6 = y becomes (12x – 13)² = 24y + 25. My theory shows that (12x – 13)² is on the left side and that (24y + 25) is on the right side. x = ⁠13 ± √24y + 25/12⁠ is my switch.”

• Tangle (35 by age at that time) said “10x² – 29x + 10 = y becomes (20x – 29)² = 40y + 441. My theory shows that (20x – 29)² is on the left side and that (40y + 441) is on the right side. x = ⁠29 ± √40y + 441/20⁠ is my switch.”

• Knuckles (36 by age at that time) said “15x² – 34x + 15 = y becomes (15x – 17)² = 15y + 64. My theory shows that (15x – 17)² is on the left side and that (40y + 361) is on the right side. x = ⁠17 ± √15y + 64/15⁠ is my switch.”

Sayings focusing on tangents to parabolae at intersection points relative to the horizontal axis

In late June or early summer 2022:

• Shadow (37 by age at that time) said “4x + y = 6 is the tangent to y = 4x² – 16x + 15 at (⁠3/2⁠, 0). y = 4x – 10 is the tangent to my parabola at (⁠5/2⁠, 0).”

• Silver (35 by age at that time) said “20x + 5y = 8 is the tangent to y = 15x² – 16x + 4 at (⁠2/5⁠, 0). 3y = 12x – 8 is the tangent to my parabola at (⁠2/3⁠, 0).”

• Mighty (37 by age at that time) said “2x + 2y = 3 is the tangent to y = 6x² – 19x + 15 at (⁠3/2⁠, 0). 3y = 3x – 5 is the tangent to my parabola at (⁠5/3⁠, 0).”

• Sonic (36 by age at that time) said “5x + 5y = 3 is the tangent to y = 15x² – 19x + 6 at (⁠3/5⁠, 0). 3y = 3x – 2 is the tangent to my parabola at (⁠2/3⁠, 0).”

• Ray (30 by age at that time) said “15x + 3y = 25 is the tangent to y = 6x² – 25x + 25 at (⁠5/3⁠, 0). 2y = 10x – 25 is the tangent to my parabola at (⁠5/2⁠, 0).”

• Tails (29 by age at that time) said “5x + y = 2 is the tangent to y = 25x² – 25x + 6 at (⁠2/5⁠, 0). y = 5x – 3 is the tangent to my parabola at (⁠3/5⁠, 0).”

• Mina (37 by age at that time) said “33x + 3y = 22 is the tangent to y = 6x² – 19x + 10 at (⁠2/3⁠, 0). 2y = 22x – 55 is the tangent to my parabola at (⁠5/2⁠, 0).”

• Tikal (35 by age at that time) said “55x + 5y = 22 is the tangent to y = 10x² – 19x + 6 at (⁠2/5⁠, 0). 2y = 22x – 33 is the tangent to my parabola at (⁠3/2⁠, 0).”

• Rouge (38 by age at that time) said “9x + y = 6 is the tangent to y = 9x² – 21x + 10 at (⁠2/3⁠, 0). y = 9x – 15 is the tangent to my parabola at (⁠5/3⁠, 0).”

• Blaze (35 by age at that time) said “45x + 5y = 27 is the tangent to y = 10x² – 21x + 9 at (⁠3/5⁠, 0). 2y = 18x – 27 is the tangent to my parabola at (⁠3/2⁠, 0).”

• Sally (36 by age at that time) said “95x + 5y = 57 is the tangent to y = 10x² – 31x + 15 at (⁠3/5⁠, 0). 2y = 38x – 95 is the tangent to my parabola at (⁠5/2⁠, 0).”

• Marine (28 by age at that time) said “95x + 5y = 38 is the tangent to y = 15x² – 31x + 10 at (⁠2/5⁠, 0). 3y = 57x – 95 is the tangent to my parabola at (⁠5/3⁠, 0).”

• Amy (32 by age at that time) said “15x + 3y = 10 is the tangent to y = 6x² – 13x + 6 at (⁠2/3⁠, 0). 2y = 10x – 15 is the tangent to my parabola at (⁠3/2⁠, 0).”

• Tangle (35 by age at that time) said “105x + 5y = 42 is the tangent to y = 10x² – 29x + 10 at (⁠2/5⁠, 0). 2y = 42x – 105 is the tangent to my parabola at (⁠5/2⁠, 0).”

• Knuckles (36 by age at that time) said “80x + 5y = 48 is the tangent to y = 15x² – 34x + 15 at (⁠3/5⁠, 0). 3y = 48x – 80 is the tangent to my parabola at (⁠5/3⁠, 0).”

Sayings focusing on horizontal intercepts

In late June or early summer 2022:

• Shadow (37 by age at that time) said “y = 4x² – 16x + 15 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠3/2⁠ and again at x = ⁠5/2⁠.”

• Silver (35 by age at that time) said “y = 15x² – 16x + 4 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠2/5⁠ and again at x = ⁠2/3⁠.”

• Mighty (37 by age at that time) said “y = 6x² – 19x + 15 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠3/2⁠ and again at x = ⁠5/3⁠.”

• Sonic (36 by age at that time) said “y = 15x² – 19x + 6 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠3/5⁠ and again at x = ⁠2/3⁠.”

• Ray (30 by age at that time) said “y = 6x² – 25x + 25 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠3/2⁠ and again at x = ⁠5/2⁠.”

• Tails (29 by age at that time) said “y = 25x² – 25x + 6 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠2/5⁠ and again at x = ⁠3/5⁠.”

• Mina (37 by age at that time) said “y = 6x² – 19x + 10 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠2/3⁠ and again at x = ⁠5/2⁠.”

• Tikal (35 by age at that time) said “y = 10x² – 19x + 6 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠2/5⁠ and again at x = ⁠3/2⁠.”

• Rouge (38 by age at that time) said “y = 9x² – 21x + 10 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠2/3⁠ and again at x = ⁠5/3⁠.”

• Blaze (35 by age at that time) said “y = 10x² – 21x + 9 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠3/5⁠ and again at x = ⁠3/2⁠.”

• Sally (36 by age at that time) said “y = 10x² – 31x + 15 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠3/5⁠ and again at x = ⁠5/2⁠.”

• Marine (28 by age at that time) said “y = 15x² – 31x + 10 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠2/5⁠ and again at x = ⁠5/3⁠.”

• Amy (32 by age at that time) said “y = 6x² – 13x + 6 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠2/3⁠ and again at x = ⁠3/2⁠.”

• Tangle (35 by age at that time) said “y = 10x² – 29x + 10 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠2/5⁠ and again at x = ⁠5/2⁠.”

• Knuckles (36 by age at that time) said “y = 15x² – 34x + 15 has two x-intercepts, i.e. it crosses or cuts the x-axis twice, once at x = ⁠3/5⁠ and again at x = ⁠5/3⁠.”

Sayings focusing on axes of symmetry

In late June or early summer 2022:

• Shadow (37 by age at that time) said “x = 2 is the axis of symmetry, which is in the middle and halfway between x = ⁠3/2⁠ and x = ⁠5/2⁠, the x-intercepts of y = 4x² – 16x + 15.”

• Silver (35 by age at that time) said “x = ⁠8/15⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠2/5⁠ and x = ⁠2/3⁠, the x-intercepts of y = 15x² – 16x + 4.”

• Mighty (37 by age at that time) said “x = ⁠19/12⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠3/2⁠ and x = ⁠5/3⁠, the x-intercepts of y = 6x² – 19x + 15.”

• Sonic (36 by age at that time) said “x = ⁠19/30⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠3/5⁠ and x = ⁠2/3⁠, the x-intercepts of y = 15x² – 19x + 6.”

• Ray (30 by age at that time) said “x = ⁠25/12⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠5/3⁠ and x = ⁠5/2⁠, the x-intercepts of y = 6x² – 25x + 25.”

• Tails (29 by age at that time) said “x = ⁠1/2⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠2/5⁠ and x = ⁠3/5⁠, the x-intercepts of y = 25x² – 25x + 6.”

• Mina (37 by age at that time) said “x = ⁠19/12⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠2/3⁠ and x = ⁠5/2⁠, the x-intercepts of y = 6x² – 19x + 10.”

• Tikal (35 by age at that time) said “x = ⁠19/20⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠2/5⁠ and x = ⁠3/2⁠, the x-intercepts of y = 10x² – 19x + 6.”

• Rouge (38 by age at that time) said “x = ⁠7/6⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠2/3⁠ and x = ⁠5/3⁠, the x-intercepts of y = 9x² – 21x + 10.”

• Blaze (35 by age at that time) said “x = ⁠21/20⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠3/5⁠ and x = ⁠3/2⁠, the x-intercepts of y = 10x² – 21x + 9.”

• Sally (36 by age at that time) said “x = ⁠31/20⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠3/5⁠ and x = ⁠5/2⁠, the x-intercepts of y = 10x² – 31x + 15.”

• Marine (28 by age at that time) said “x = ⁠31/30⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠2/5⁠ and x = ⁠5/3⁠, the x-intercepts of y = 15x² – 31x + 10.”

• Amy (32 by age at that time) said “x = ⁠13/12⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠2/3⁠ and x = ⁠3/2⁠, the x-intercepts of y = 6x² – 13x + 6.”

• Tangle (35 by age at that time) said “x = ⁠29/20⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠2/5⁠ and x = ⁠5/2⁠, the x-intercepts of y = 10x² – 29x + 10.”

• Knuckles (36 by age at that time) said “x = ⁠17/15⁠ is the axis of symmetry, which is in the middle and halfway between x = ⁠3/5⁠ and x = ⁠5/3⁠, the x-intercepts of y = 15x² – 34x + 15.”

Sayings focusing on distances or differences between the solutions of quadratic equations

In late June or early summer 2022:

• Shadow (37 by age at that time) said “x = ⁠3/2⁠ and x = ⁠5/2⁠, the x-intercepts of y = 4x² – 16x + 15, are a unit apart. Therefore, the distance or difference between the solutions of 4x² – 16x + 15 = 0 is a unit.”

• Silver (35 by age at that time) said “x = ⁠2/5⁠ and x = ⁠2/3⁠, the x-intercepts of y = 15x² – 16x + 4, are ⁠4/15⁠ unit apart. Therefore, the distance or difference between the solutions of 15x² – 16x + 4 = 0 is ⁠4/15⁠ unit.”

• Mighty (37 by age at that time) said “x = ⁠3/2⁠ and x = ⁠5/3⁠, the x-intercepts of y = 6x² – 19x + 15, are ⁠1/6⁠ unit apart. Therefore, the distance or difference between the solutions of 6x² – 19x + 15 = 0 is ⁠1/6⁠ unit.”

• Sonic (36 by age at that time) said “x = ⁠3/5⁠ and x = ⁠2/3⁠, the x-intercepts of y = 15x² – 19x + 6, are ⁠1/15⁠ unit apart. Therefore, the distance or difference between the solutions of 15x² – 19x + 6 = 0 is ⁠1/15⁠ unit.”

• Ray (30 by age at that time) said “x = ⁠5/3⁠ and x = ⁠5/2⁠, the x-intercepts of y = 6x² – 25x + 25, are ⁠5/6⁠ unit apart. Therefore, the distance or difference between the solutions of 6x² – 25x + 25 = 0 is ⁠5/6⁠ unit.”

• Tails (29 by age at that time) said “x = ⁠2/5⁠ and x = ⁠3/5⁠, the x-intercepts of y = 25x² – 25x + 6, are ⁠1/5⁠ unit apart. Therefore, the distance or difference between the solutions of 25x² – 25x + 6 = 0 is ⁠1/5⁠ unit.”

• Mina (37 by age at that time) said “x = ⁠2/3⁠ and x = ⁠5/2⁠, the x-intercepts of y = 6x² – 19x + 10, are ⁠11/6⁠ units apart. Therefore, the distance or difference between the solutions of 6x² – 19x + 10 = 0 is ⁠11/6⁠ units.”

• Tikal (35 by age at that time) said “x = ⁠2/5⁠ and x = ⁠3/2⁠, the x-intercepts of y = 10x² – 19x + 6, are ⁠11/10⁠ units apart. Therefore, the distance or difference between the solutions of 10x² – 19x + 6 = 0 is ⁠11/10⁠ units.”

• Rouge (38 by age at that time) said “x = ⁠2/3⁠ and x = ⁠5/3⁠, the x-intercepts of y = 9x² – 21x + 10, are a unit apart. Therefore, the distance or difference between the solutions of 9x² – 21x + 10 = 0 is a unit.”

• Blaze (35 by age at that time) said “x = ⁠3/5⁠ and x = ⁠3/2⁠, the x-intercepts of y = 10x² – 21x + 9, are ⁠9/10⁠ unit apart. Therefore, the distance or difference between the solutions of 10x² – 21x + 9 = 0 is ⁠9/10⁠ unit.”

• Sally (36 by age at that time) said “x = ⁠3/5⁠ and x = ⁠5/2⁠, the x-intercepts of y = 10x² – 31x + 15, are ⁠19/10⁠ units apart. Therefore, the distance or difference between the solutions of 10x² – 31x + 15 = 0 is ⁠19/10⁠ units.”

• Marine (28 by age at that time) said “x = ⁠2/5⁠ and x = ⁠5/3⁠, the x-intercepts of y = 15x² – 31x + 10, are ⁠19/15⁠ units apart. Therefore, the distance or difference between the solutions of 15x² – 31x + 10 = 0 is ⁠19/15⁠ units.”

• Amy (32 by age at that time) said “x = ⁠2/3⁠ and x = ⁠3/2⁠, the x-intercepts of y = 6x² – 13x + 6, are ⁠5/6⁠ unit apart. Therefore, the distance or difference between the solutions of 6x² – 13x + 6 = 0 is ⁠5/6⁠ unit.”

• Tangle (35 by age at that time) said “x = ⁠2/5⁠ and x = ⁠5/2⁠, the x-intercepts of y = 10x² – 29x + 10, are ⁠21/10⁠ units apart. Therefore, the distance or difference between the solutions of 10x² – 29x + 10 = 0 is ⁠21/10⁠ units.”

• Knuckles (36 by age at that time) said “x = ⁠3/5⁠ and x = ⁠5/3⁠, the x-intercepts of y = 15x² – 34x + 15, are ⁠16/15⁠ units apart. Therefore, the distance or difference between the solutions of 15x² – 34x + 15 = 0 is ⁠16/15⁠ units.”

Sayings focusing on square completion as the method used by experts, masters or professionals to solve quadratic equations and perform switches to quadratic functions

In late June or early summer 2022:

• Shadow (37 by age at that time) said “With (2x – 4)² on the left side and one on the right side, I am a quadratic equation expert, master or professional. I can solve 4x² – 16x + 15 = 0 and perform a switch to 4x² – 16x + 15 = y both by square completion. With (2x – 4)² on the left side and (y + 1) on the right side, I am a quadratic function expert, master or professional as well.”

• Silver (35 by age at that time) said “With (15x – 8)² on the left side and four on the right side, I am a quadratic equation expert, master or professional. I can solve 15x² – 16x + 4 = 0 and perform a switch to 15x² – 16x + 4 = y both by square completion. With (15x – 8)² on the left side and (15y + 4) on the right side, I am a quadratic function expert, master or professional as well.”

• Mighty (37 by age at that time) said “With (12x – 19)² on the left side and one on the right side, I am a quadratic equation expert, master or professional. I can solve 6x² – 19x + 15 = 0 and perform a switch to 6x² – 19x + 15 = y both by square completion. With (12x – 19)² on the left side and (24y + 1) on the right side, I am a quadratic function expert, master or professional as well.”

• Sonic (36 by age at that time) said “With (30x – 19)² on the left side and one on the right side, I am a quadratic equation expert, master or professional. I can solve 15x² – 19x + 6 = 0 and perform a switch to 15x² – 19x + 6 = y both by square completion. With (30x – 19)² on the left side and (60y + 1) on the right side, I am a quadratic function expert, master or professional as well.”

• Ray (30 by age at that time) said “With (12x – 25)² on the left side and 25 on the right side, I am a quadratic equation expert, master or professional. I can solve 6x² – 25x + 25 = 0 and perform a switch to 6x² – 25x + 25 = y both by square completion. With (12x – 19)² on the left side and (24y + 25) on the right side, I am a quadratic function expert, master or professional as well.”

• Tails (29 by age at that time) said “With (10x – 5)² on the left side and one on the right side, I am a quadratic equation expert, master or professional. I can solve 25x² – 25x + 6 = 0 and perform a switch to 25x² – 25x + 6 = y both by square completion. With (10x – 5)² on the left side and (4y + 1) on the right side, I am a quadratic function expert, master or professional as well.”

• Mina (37 by age at that time) said “With (12x – 19)² on the left side and 121 on the right side, I am a quadratic equation expert, master or professional. I can solve 6x² – 19x + 10 = 0 and perform a switch to 6x² – 19x + 10 = y both by square completion. With (12x – 19)² on the left side and (24y + 121) on the right side, I am a quadratic function expert, master or professional as well.”

• Tikal (35 by age at that time) said “With (20x – 19)² on the left side and 121 on the right side, I am a quadratic equation expert, master or professional. I can solve 10x² – 19x + 6 = 0 and perform a switch to 10x² – 19x + 6 = y both by square completion. With (20x – 19)² on the left side and (40y + 121) on the right side, I am a quadratic function expert, master or professional as well.”

• Rouge (38 by age at that time) said “With (6x – 7)² on the left side and nine on the right side, I am a quadratic equation expert, master or professional. I can solve 9x² – 21x + 10 = 0 and perform a switch to 9x² – 21x + 10 = y both by square completion. With (6x – 7)² on the left side and (4y + 9) on the right side, I am a quadratic function expert, master or professional as well.”

• Blaze (35 by age at that time) said “With (20x – 21)² on the left side and 81 on the right side, I am a quadratic equation expert, master or professional. I can solve 10x² – 21x + 9 = 0 and perform a switch to 10x² – 21x + 9 = y both by square completion. With (20x – 21)² on the left side and (40y + 81) on the right side, I am a quadratic function expert, master or professional as well.”

• Sally (36 by age at that time) said “With (20x – 31)² on the left side and 361 on the right side, I am a quadratic equation expert, master or professional. I can solve 10x² – 31x + 15 = 0 and perform a switch to 10x² – 31x + 15 = y both by square completion. With (20x – 31)² on the left side and (40y + 361) on the right side, I am a quadratic function expert, master or professional as well.”

• Marine (28 by age at that time) said “With (30x – 31)² on the left side and 361 on the right side, I am a quadratic equation expert, master or professional. I can solve 15x² – 31x + 10 = 0 and perform a switch to 15x² – 31x + 10 = y both by square completion. With (30x – 31)² on the left side and (60y + 361) on the right side, I am a quadratic function expert, master or professional as well.”

• Amy (32 by age at that time) said “With (12x – 13)² on the left side and 25 on the right side, I am a quadratic equation expert, master or professional. I can solve 6x² – 13x + 6 = 0 and perform a switch to 6x² – 13x + 6 = y both by square completion. With (12x – 13)² on the left side and (24y + 25) on the right side, I am a quadratic function expert, master or professional as well.”

• Tangle (35 by age at that time) said “With (20x – 29)² on the left side and 441 on the right side, I am a quadratic equation expert, master or professional. I can solve 10x² – 29x + 10 = 0 and perform a switch to 10x² – 29x + 10 = y both by square completion. With (20x – 29)² on the left side and (40y + 441) on the right side, I am a quadratic function expert, master or professional as well.”

• Knuckles (36 by age at that time) said “With (15x – 17)² on the left side and 64 on the right side, I am a quadratic equation expert, master or professional. I can solve 15x² – 34x + 15 = 0 and perform a switch to 15x² – 34x + 15 = y both by square completion. With (15x – 17)² on the left side and (15y + 64) on the right side, I am a quadratic function expert, master or professional as well.”

Motion of American and Japanese cars

American and Japanese cars containing Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as their famous drivers in multiple live events held in multiple American and Japanese cities or urban areas in May/June 2022 were at the starting point when they were at rest. As they accelerated, they stopped being at the starting point. These cars accelerated to 62 mph in 2.4 seconds and were nearly two miles away upon attaining 311 mph as their top speed in 36 seconds. Their acceleration decreased in first 36 seconds. Their velocity increased at a decreasing rate.

American and Japanese cars launched directly on the racetrack close to Apple Park on May 25, 2022

On May 25, 2022, American and Japanese cars containing Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal as their famous drivers were launched directly on the racetrack close to Apple Park. When they were at rest, they were at the starting point. These cars stopped being at the starting point as they accelerated after being launched directly on the racetrack close to Apple Park. They attained 31 mph in 0.9 second, 62 mph in 2.4 seconds, 93 mph in 4.5 seconds, 124 mph on 7.2 seconds, 155 mph in 10.5 seconds, 186 mph in 14.4 seconds, 217 mph in 18.9 seconds, 249 mph in 24 seconds, 280 mph in 29.7 seconds and 311 mph in 36 seconds as their top speed. These cars were nearly two miles away after 36 seconds. As their acceleration decreased, their velocity increased at a decreasing rate.

Near-fatal criminal attack at Apple Park on April 24, 2022

Near-fatal criminal attack at Apple Park on April 24, 2022, 64 wounded, incl. 24 critically wounded and 40 others sustaining minor wounds, four Japanese-American criminals arraigned in hospital as victims, though not seriously wounded

On April 24, 2022, there were 60 present at Apple Park when four Japanese-American criminals came back and stabbed them. Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine and 12 other Japanese-American media and entertainment stars or personalities were critically wounded. Knuckles, Amy and Tangle and 33 other Japanese-American media and entertainment stars or personalities sustained only minor wounds. Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal and 45 other Japanese-American media and entertainment stars or personalities were sent directly to hospitals close to Apple Park for treatment by ambulance.

After stabbing Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal and 45 other Japanese-American media and entertainment stars or personalities, present at Apple Park, four Japanese-American criminals stabbed themselves or each other. They sustained only minor wounds. Police officers arrived, arrested four Japanese-American criminals and sent them directly to the hospital close to Apple Park for arraignment by police car. They were arraigned in the hospital close to Apple Park due to charges faced as victims, though not seriously wounded.

Those wounded in the near-fatal criminal attack at Apple Park were between 28 and 77 by age. Some were born between 1945 and 1981. Others were between 28 and 41 by age. Four Japanese-American criminals were 28 and 29 by age, though not seriously wounded after stabbing themselves or each other.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal and 45 other Japanese-American media and entertainment stars or personalities were treated for wounds in hospitals close to Apple Park. Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally, Marine, Mina and Tikal faced slightly long journeys to recovery and they continued to be in the hospital close to Apple Park for several days. Knuckles, Amy and Tangle recovered very rapidly and they finally left the hospital.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal stabbed and wounded while trying to stop Japanese-American criminals or prevent a near-fatal criminal attack at Apple Park on April 24, 2022, Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine critically wounded, Knuckles, Amy and Tangle sustaining minor wounds

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal were stabbed and wounded while trying to prevent a near-fatal criminal attack at Apple Park on April 24, 2022 or stop Japanese-American criminals.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine and 12 other Japanese-American media and entertainment stars or personalities were stabbed at least five times. Knuckles, Amy and Tangle and 33 other Japanese-American media and entertainment stars or personalities were stabbed up to twice. Shadow and Silver were stabbed eight times in arms. Mighty, Sonic, Ray, Tails, Rouge, Blaze, Sally and Marine were stabbed seven times, three or four times in arms and three or four times in legs. Mina and Tikal were stabbed six times in legs. Knuckles was stabbed once in the face. Amy was stabbed once in the leg. Tangle was stabbed once in the arm.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine and 12 other Japanese-American media and entertainment stars or personalities sustained serious wounds and almost died. Knuckles, Amy and Tangle and 33 other Japanese-American media and entertainment stars or personalities were not seriously wounded.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine and 12 other Japanese-American media and entertainment stars or personalities were treated for serious wounds in hospitals close to Apple Park, which encountered a near-fatal criminal attack on April 24, 2022, even though they almost died. Knuckles, Amy and Tangle and 33 other Japanese-American media and entertainment stars or personalities were treated for minor wounds. Shadow and Silver were treated for multiple arm wounds. Mighty, Sonic, Ray, Tails, Rouge, Blaze, Sally and Marine were treated for multiple arm and leg wounds. Mina and Tikal were treated for multiple leg wounds. Knuckles was treated for minor face wounds. Amy was treated for minor leg wounds. Tangle was treated for minor arm wounds.

Four Japanese-American criminals continuing to be in the hospital close to Apple Park for about two weeks, though not seriously wounded, operation not required for wounds triggered by the near-fatal criminal attack at Apple Park

Four Japanese-American criminals continued to be in the hospital close to Apple Park for about two weeks, though not seriously wounded. They stabbed themselves or each other and were arrested directly as victims by police officers who sent them directly to the hospital close to Apple Park for arraignment by police car.

Operation was not required for wounds triggered by the near-fatal criminal attack at Apple Park on April 24, 2022. Arms of Shadow and Silver were bandaged as treatment, not as operation. Arms and legs of Mighty, Sonic, Ray, Tails, Rouge, Blaze, Sally and Marine were bandaged as treatment, not as operation. Legs of Mina and Tikal were bandaged as treatment, not as operation. Knuckles, Amy and Tangle sustained wounds that only required treatment.

Faces, arms and legs of 12 other Japanese-American media and entertainment stars or personalities were bandaged as treatment, not as operation. 33 other Japanese-American media and entertainment stars or personalities sustained wounds that only required treatment.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal and 45 other Japanese-American media and entertainment stars or personalities conscious after the near-fatal attack at Apple Park, four Japanese-American criminals conscious as well

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal and 45 other Japanese-American media and entertainment stars or personalities were conscious after being stabbed by four Japanese-American criminals, who were conscious as well after stabbing them. Shadow and Silver sustained multiple arm wounds. Mighty, Sonic, Ray, Tails, Rouge, Blaze, Sally and Marine sustained multiple arm and leg wounds. Mina and Tikal sustained multiple leg wounds. Knuckles sustained minor face wounds. Amy sustained minor leg wounds. Tangle sustained minor arm wounds.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal were initially in serious condition after being sent directly to hospitals close to Apple Park. Knuckles, Amy and Tangle were in good condition. Condition for Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal improved or was upgraded to good condition. Condition for Knuckles, Amy and Tangle continued to be good condition. Four Japanese-American criminals were in good condition as well after being sent directly to the hospital close to Apple Park by police.

Condition for 45 other American and Japanese media and entertainment stars or personalities ranged between good condition and serious condition. None were in critical condition after the near-fatal criminal attack at Apple Park on April 24, 2022. While in good condition, four Japanese-American criminals were arraigned in the hospital close to Apple Park due to charges faced after being arrested directly as victims by police.

Knuckles, Amy and Tangle visiting the hospital again to meet Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine

Knuckles, Amy and Tangle visited the hospital again to meet Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine there. Knuckles, Amy and Tangle continued to be in the hospital close to Apple Park for three days. They wished Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine speedy recovery.

Knuckles, Amy and Tangle have hoped as well Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine were lucky to be alive after the near-fatal criminal attack at Apple Park on April 24, 2022 that left 45 other Japanese-American media and entertainment stars or personalities wounded and sent four Japanese-American criminals directly to the hospital close to it for arraignment.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine finally leaving the hospital close to Apple Park, Knuckles, Amy and Tangle finally leaving it again as well

Shadow, Silver, Mighty, Sonic, Ray, Tails, Mina, Tikal, Rouge, Blaze, Sally and Marine finally left the hospital close to Apple Park, the spot that encountered a near-fatal criminal attack six days earlier, on April 24, 2022. Knuckles, Amy and Tangle finally left it again as well.

Total costs for hospital treatment and recovery for Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal and 45 other Japanese-American media and entertainment stars and personalities wounded in the near-fatal criminal attack at Apple Park on April 24, 2022, hospital arraignment costs for four Japanese-American criminals involved in the near-fatal criminal attack at Apple Park on April 24, 2022

Total costs for hospital treatment and recovery for Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal and 45 other Japanese-American media and entertainment stars and personalities wounded in the near-fatal criminal attack at Apple Park on April 24, 2022 ranged between USD$15,000 and USD$150,000. Hospital arraignment costs for four Japanese-American criminals involved in the near-fatal criminal attack at Apple Park on April 24, 2022 ranged between USD$25,000 and USD$250,000.

Non-fatal wounds triggered by the near-fatal criminal attack at Apple Park on April 24, 2022 constituted a whole or 100%. Serious wounds constituted three-eighths or 37.5%. Minor wounds constituted five-eighths or 62.5%.

Criminal attacks in the United States and Japan

Criminal attacks began on April 13, 2022 in the United States and Japan. Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal described criminal attacks in the United States and Japan as offender assaults on April 16, 2022 and violent onslaughts on April 17, 2022. Three days later, on April 20, 2022, they received an alert focusing on criminal attacks in the United States and Japan. On June 8, 2022, Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal announced that criminal attacks might have possibilities to keep occurring in the United States and Japan for over 40 years. They announced as well that criminal attacks in the United States and Japan might have possibilities to require more than 20 years to end completely.

First criminal attacks occurred on April 13, 2022 in the United States and Japan.

On May 25, 2022, Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal received some alerts focusing on further or later criminal attacks in the United States and Japan in later periods, months or years or on later days. In other words, alerts they received showed that further or later criminal attacks might have possibilities to occur in both countries in later periods, months or years or on later days.

Appearances by Japanese-American stars

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal debuted or first appeared as Japanese-American stars on April 13, 2022. April 13, 2022 was the first day featuring them as Japanese-American stars, as well as the first Wednesday featuring them as Japanese-American stars. April 16, 2022 was the first Saturday featuring them as Japanese-American stars. April 17, 2022 was the first Sunday featuring them as Japanese-American stars.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal have appeared as Japanese-American stars since April 13, 2022 and keep appearing as Japanese-American stars for many years in obedience to the announcement on June 8, 2022.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal appear indefinitely as Japanese-American stars.

Japanese-American stars defending the United States and Japan

Outposts operational for urban defense in the United States and Japan

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal made first outposts operational for urban defense in the United States and Japan on April 13, 2022.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal started making outposts operational for urban defense in the United States and Japan on April 13, 2022.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal have made outposts operational for urban defense in the United States and Japan since April 13, 2022. On June 8, 2022, they announced that they would keep making outposts operational for urban defense in the United States and Japan for many years.

Defending the United States and Japan against criminal attacks

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal defended the United States and Japan against first criminal attacks on April 13, 2022.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal started defending the United States and Japan against criminal attacks on April 13, 2022.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal have defended the United States and Japan against criminal attacks since April 13, 2022. On June 8, 2022, they announced that they would keep defending United States and Japan against criminal attacks for many years.

Age statuses of Japanese-American stars

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal get older on later days or in later periods, months or years as Japanese-American stars. They are grown-ups, i.e. they are in the advanced stage. They are fully grown or developed as well. Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal are lucky and sure to survive many further or later years while fully grown or developed in obedience to the announcement they had on June 8, 2022. They are lucky and sure as well to survive older ages or keep living for many years as grown-ups or while in the advanced stage in obedience to that announcement.

Further information by Japanese-American stars

Japanese-American stars lucky and sure to keep appearing for many years

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal are lucky and sure to keep appearing as Japanese-American stars for many years in obedience to the announcement they had on June 8, 2022.

United States and Japan as superpowers, AKA advanced powers or extremely powerful countries

In late June or early summer 2022, Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal described the United States and Japan as superpowers, AKA advanced powers or extremely powerful countries.

Power types

In late June or early summer 2022, Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal described superpowers as advanced powers or extremely powerful countries. At that time, they described near-superpowers as potential superpowers or very powerful countries. Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal described middle powers as emerging powers or powerful countries.

Pass port and travel details

Travel details

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal carry American and Japanese pass ports as Japanese-American stars. They live in the United States but they travel to Japan for some licensed Japanese-American live star tours or meetings, which were inaugurated on April 13, 2022. Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal travel to many American and Japanese cities or urban areas for some licensed Japanese-American live performances and conferences, which were inaugurated as well on April 13, 2022.

Pass port details

Pass ports Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal carry are very powerful pass ports, i.e. pass ports that offer at least 150 destinations worldwide. These pass ports were issued and first provided to Japanese-American stars, named Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal, on April 13, 2022.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal were born in the United States and raised in Japan. They started carrying American and Japanese pass ports on April 13, 2022.

Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal have carried American and Japanese pass ports since April 13, 2022 and keep carrying these pass ports for many years in obedience to the announcement they had on June 8, 2022.

In late June or early summer 2022, Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal described the American pass port as the pass port issued by the United States and the Japanese pass port as the pass port issued by Japan.

Pop star types (Japanese-American stars)

Keyboardists

• Shadow (since May 2022)
• Silver (since May 2022)

Drummers

• Mighty (since May 2022)
• Sonic (since May 2022)
• Rouge (since May 2022)
• Blaze (since May 2022)

Guitarists

• Ray (since May 2022)
• Tails (since May 2022)
• Sally (since May 2022)
• Marine (since May 2022)

Bassists

• Mina (since May 2022)
• Tikal (since May 2022)

Microphone holders

• Knuckles (since May 2022)
• Amy (since May 2022)
• Tangle (since May 2022)

Countries led or represented

• United States (since May 2022)
• Japan (since May 2022)

Stunt star types (Japanese-American stars)

Segway riders

• Shadow (since May 2022)
• Silver (since May 2022)

Motorcyclists

• Mighty (since May 2022)
• Sonic (since May 2022)
• Rouge (since May 2022)
• Blaze (since May 2022)

Skateboarders

• Ray (since May 2022)
• Tails (since May 2022)
• Sally (since May 2022)
• Marine (since May 2022)

Wheelchair riders

• Mina (since May 2022)
• Tikal (since May 2022)

Runners

• Knuckles (since May 2022)
• Amy (since May 2022)
• Tangle (since May 2022)

Countries led or represented

• United States (since May 2022)
• Japan (since May 2022)

Stunt types (Japanese-American stars)

Segways

• Shadow (since May 2022)
• Silver (since May 2022)

Motorcycles

• Mighty (since May 2022)
• Sonic (since May 2022)
• Rouge (since May 2022)
• Blaze (since May 2022)

Skateboards

• Ray (since May 2022)
• Tails (since May 2022)
• Sally (since May 2022)
• Marine (since May 2022)

Wheelchairs

• Mina (since May 2022)
• Tikal (since May 2022)

Running

• Knuckles (since May 2022)
• Amy (since May 2022)
• Tangle (since May 2022)

Countries led or represented

• United States (since May 2022)
• Japan (since May 2022)

United States and Japan as captain countries

Captain countries

• United States
• Japan

Country captains

• Captain United States
• Captain Japan

Japanese-American stars as the captains of the United States and Japan

• Shadow as Captain United States and Captain Japan (since May 2022)
• Silver as Captain United States and Captain Japan (since May 2022)
• Mighty as Captain United States and Captain Japan (since May 2022)
• Sonic as Captain United States and Captain Japan (since May 2022)
• Ray as Captain United States and Captain Japan (since May 2022)
• Tails as Captain United States and Captain Japan (since May 2022)
• Knuckles as Captain United States and Captain Japan (since May 2022)
• Amy as Captain United States and Captain Japan (since May 2022)
• Tangle as Captain United States and Captain Japan (since May 2022)
• Rouge as Captain United States and Captain Japan (since May 2022)
• Blaze as Captain United States and Captain Japan (since May 2022)
• Sally as Captain United States and Captain Japan (since May 2022)
• Marine as Captain United States and Captain Japan (since May 2022)
• Mina as Captain United States and Captain Japan (since May 2022)
• Tikal as Captain United States and Captain Japan (since May 2022)

Country captains (United States and Japan)

• Captain Shadow
• Captain Silver
• Captain Mighty
• Captain Sonic
• Captain Ray
• Captain Tails
• Captain Knuckles
• Captain Amy
• Captain Tangle
• Captain Rouge
• Captain Blaze
• Captain Sally
• Captain Marine
• Captain Mina
• Captain Tikal

United States and Japan as general/admiral/sergeant countries

General/admiral/sergeant countries

• United States
• Japan

Country generals/admirals/sergeants

• General/Admiral/Sergeant United States
• General/Admiral/Sergeant Japan

Japanese-American stars as the generals/admirals/sergeants of the United States and Japan

• Shadow as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Silver as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Mighty as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Sonic as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Ray as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Tails as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Knuckles as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Amy as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Tangle as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Rouge as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Blaze as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Sally as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Marine as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Mina as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)
• Tikal as General/Admiral/Sergeant United States and General/Admiral/Sergeant Japan (since May 2022)

Country generals/admirals/sergeants (United States and Japan)

• General/Admiral/Sergeant Shadow
• General/Admiral/Sergeant Silver
• General/Admiral/Sergeant Mighty
• General/Admiral/Sergeant Sonic
• General/Admiral/Sergeant Ray
• General/Admiral/Sergeant Tails
• General/Admiral/Sergeant Knuckles
• General/Admiral/Sergeant Amy
• General/Admiral/Sergeant Tangle
• General/Admiral/Sergeant Rouge
• General/Admiral/Sergeant Blaze
• General/Admiral/Sergeant Sally
• General/Admiral/Sergeant Marine
• General/Admiral/Sergeant Mina
• General/Admiral/Sergeant Tikal

United States and Japan as star countries

Star countries

• United States
• Japan

Country stars

• Star United States
• Star Japan

Japanese-American stars as the stars of the United States and Japan

• Shadow as Star United States and Star Japan (since May 2022)
• Silver as Star United States and Star Japan (since May 2022)
• Mighty as Star United States and Star Japan (since May 2022)
• Sonic as Star United States and Star Japan (since May 2022)
• Ray as Star United States and Star Japan (since May 2022)
• Tails as Star United States and Star Japan (since May 2022)
• Knuckles as Star United States and Star Japan (since May 2022)
• Amy as Star United States and Star Japan (since May 2022)
• Tangle as Star United States and Star Japan (since May 2022)
• Rouge as Star United States and Star Japan (since May 2022)
• Blaze as Star United States and Star Japan (since May 2022)
• Sally as Star United States and Star Japan (since May 2022)
• Marine as Star United States and Star Japan (since May 2022)
• Mina as Star United States and Star Japan (since May 2022)
• Tikal as Star United States and Star Japan (since May 2022)

Country stars (United States and Japan)

• Star Shadow
• Star Silver
• Star Mighty
• Star Sonic
• Star Ray
• Star Tails
• Star Knuckles
• Star Amy
• Star Tangle
• Star Rouge
• Star Blaze
• Star Sally
• Star Marine
• Star Mina
• Star Tikal

United States and Japan as expert/master/professional countries

Expert/master/professional countries

• United States
• Japan

Country experts/masters/professionals

• Expert/Master/Professional United States
• Expert/Master/Professional Japan

Japanese-American stars as the experts/masters/professionals of the United States and Japan

• Shadow as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Silver as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Mighty as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Sonic as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Ray as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Tails as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Knuckles as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Amy as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Tangle as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Rouge as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Blaze as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Sally as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Marine as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Mina as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)
• Tikal as Expert/Master/Professional United States and Expert/Master/Professional Japan (since May 2022)

Country experts/masters/professionals (United States and Japan)

• Expert/Master/Professional Shadow
• Expert/Master/Professional Silver
• Expert/Master/Professional Mighty
• Expert/Master/Professional Sonic
• Expert/Master/Professional Ray
• Expert/Master/Professional Tails
• Expert/Master/Professional Knuckles
• Expert/Master/Professional Amy
• Expert/Master/Professional Tangle
• Expert/Master/Professional Rouge
• Expert/Master/Professional Blaze
• Expert/Master/Professional Sally
• Expert/Master/Professional Marine
• Expert/Master/Professional Mina
• Expert/Master/Professional Tikal

Names and periods of Japanese-American stars and their countries and years of appearance

Names and periods of Japanese-American stars

• Shadow (since April 13, 2022)
• Silver (since April 13, 2022)
• Mighty (since April 13, 2022)
• Sonic (since April 13, 2022)
• Ray (since April 13, 2022)
• Tails (since April 13, 2022)
• Knuckles (since April 13, 2022)
• Amy (since April 13, 2022)
• Tangle (since April 13, 2022)
• Rouge (since April 13, 2022)
• Blaze (since April 13, 2022)
• Sally (since April 13, 2022)
• Marine (since April 13, 2022)
• Mina (since April 13, 2022)
• Tikal (since April 13, 2022)

Countries of appearance by Japanese-American stars

• United States
• Japan

Years of appearance by Japanese-American stars

• 2022 (starting on April 13th)
• 2023
• 2024
• 2025
• 2026
• 2027
• 2028
• 2029
• 2030
• 2031
• 2032
• 2033
• 2034
• 2035
• 2036
• 2037
• 2038
• 2039
• 2040
• 2041
• 2042
• 2043
• 2044
• 2045
• 2046 or later

Rings and gems as the new types of currency of the United States and Japan, introduced on June 8, 2022

Introduction and value calculation

On June 8, 2022, Shadow, Silver, Mighty, Sonic, Ray, Tails, Knuckles, Amy, Tangle, Rouge, Blaze, Sally, Marine, Mina and Tikal introduced rings and gems as the new types of currency of the United States and Japan. On that day, they calculated the value of each ring to be USD$1 million and the value of each gem to be USD$10 million, ten times the value of each ring. In other words, the value was calculated to be USD$1 million per ring and USD$10 million per gem.

Ages of Japanese-American stars upon the introduction of rings and gems as the new types of currency of the United States and Japan

When rings and gems were introduced as the new types of currency of the United States and Japan on June 8, 2022:

• Shadow was 37.
• Silver was 35.
• Mighty was 37.
• Sonic was 36.
• Ray was 30.
• Tails was 29.
• Knuckles was 36.
• Amy was 32.
• Tangle was 35.
• Rouge was 38.
• Blaze was 35.
• Sally was 36.
• Marine was 28.
• Mina was 37.
• Tikal was 35.

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