Aball is released at a height of 16 inches to roll inside a half-cylinder. it rolls to a height of 8 inches on the other side of the cylinder on roll 1. each time it rolls up a side of the cylinder, the ball reaches a point that is as high as it had reached on the other side. this explicit formula models the height of the ball, in inches, the nth time it rolls up a side of the cylinder. how high does the ball roll on its 5th time up the cylinder's side?

Select all the correct answers.natalie buys a new car. in the first month, the odometer on the car records 800 miles. from past experience, she expects to drive 900 miles per monthselect all the functions that can be used to find the number of miles, f(n), recorded on the odometer after n months.of(n) = 800n + 100f(n) = 9001 - 100f(n) = 900n + 800(1) = 800; }(n) = f(n - 1) + 900, for n > 2f(1) = 800; 1(n) = f(n − 1) + 100, for n > 2(1) = 900; }(n) = f(n - 1) + 800, for n > 2

X2 + y 2 = 36 x + y = 6 solve the system of equations.

The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number?