Isabella is playing with her yo-yo. The vertical distance Y (in cm) between the yo-yo and her hand t seconds
after she first spins it out is modeled by the following function. Here, t is entered in radians.
Y(t) = 40 cos
27
3
- 71
How long does it take the yo-yo to fall all the way down from its peak, and then rise up to a vertical distance of
180 cm?
Round your final answer to the nearest tenth of a second.

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.