He temperature of a chemical reaction ranges between 30 degrees celsius and 70 degrees celsius. the temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 10-hour period. what is a cosine function that models this reaction?
f(t) = 20 cos 10t + 50
f(t) = 50 cos 10t + 20
f(t) = −50 cos pi over 5 t + 20
f(t) = −20 cos pi over 5 t + 50

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.