Jami is trying to model the movement of a tire. in order to properly model the movement, she is going to focus on the movement of the tire's air nozzle. the nozzle is on the right side of the tire and she is going to treat that position as the equilibrium position. she then slowly rotates the tire so that the nozzle goes up at the beginning of the rotation, and follows its change in height. the distance of the nozzle from the center of rotation is nine inches. she finds that it takes eight seconds for the tire to make a single revolution. which of the following functions best models the position of the nozzle? a. s(t)=9sin(4pi t) b. s(t)=9sin(pi/4 t) c. s(t)=9cos(4pi t) d. s(t)=9cos(pi/4 t)

Diane’s bank is offering 5% interest, compounded monthly. if diane invests $10,500 and wants $20,000 when she withdrawals, how long should she keep her money in for? round to the nearest tenth of a year.

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.

Roy has 4 1/2 pizzas for the soccer team to split after the game. if each member is going to get 1/2 of a pizza, how many players are on the soccer team