1) The diagram below shows a ramp connecting the ground to a loading platform above the ground. The distance between the ramp on the ground to the base of the loading platform is
11 feet. The angle of elevation formed by the ramp and the ground is 22.5°. To the nearest tenth
of an inch, what will be the length of the ramp from the ground to the top of the loading platform,
X? Show your work.

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

18 16 11 45 33 11 33 14 18 11 what is the mode for this data set

I'm at a bookstore with $\$35$ in my pocket and a $20\%$-off coupon. what is the cost of the most expensive book i can buy with my money and the coupon? (assume that there are books of every possible price in the bookstore. it's a large bookstore! )