Phil mahler rode his cross- country bicycle 11 miles in yellowstone national park. phil then stops for an hour at mud volcano and then rides his bicycle for 15 more miles at a speed that was twice his original speed. if the entire trip, including his one- hour rest, took 6 hours, find phil's original speed and his faster speed

Acylinder has volume 45π and radius 3. what is it’s height?

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.

Af jewelry box is in the shape of a rectangular prism with an area of 528 cube inches. the length of the box is 12 inches and the height is 5 1/2 inches. what is the width of the jewelry box