To rewrite y(t) = 2sin4πt + 5cos4πt in the form asin(ωt+φ), solve for φ. show your work and solution in the response box.

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.

What is the slope of the line that contains the points (-2,1) and (0,-3)

Acolony contains 1500 bacteria. the population increases at a rate of 115% each hour. if x represents the number of hours elapsed, which function represents the scenario? f(x) = 1500(1.15)" f(x) = 1500(115) f(x) = 1500(2.15) f(x) = 1500(215)