Abacteria population starts with 400 bacteria and grows at a rate of r(t) = (450.262)e1.12567t bacteria per hour. how many bacteria will there be after three hours? (round your answer to the nearest integer.)

An episode of a television show is 60 minutes long when it originally airs with commercials. on a dvd without commercials, the episode is only 417 minutes long. how many1-minute commercials did the episode include when it originally aired? write and solve an equation to justify your answer.

If value of cos330° is √3/2 then find tan165°.

James is playing his favorite game at the arcade. after playing the game 33 times, he has 88 tokens remaining. he initially had 2020 tokens, and the game costs the same number of tokens each time. the number tt of tokens james has is a function of gg, the number of games he plays