A pool is in the shape of a rectangular prism. On Monday, water was pumped out of the pool at a constant rate, starting at 12:00 p. m. At 12:15 p. m., the water in the pool was 45 inches deep. At 12:35 p. m., the water in the pool was 41 inches deep. Part A By how many inches does the depth of the water decrease each minute? Enter your answer in the box. ? inch (es) Part B Write an equation that represents y, the depth of the water (in inches), after x minutes. Enter your equation in the space provided. Enter only your equation.

Hiroki wrote a number that is the opposite of -3. what number did hiroki write? a. ⅓ b. 3 c. 0 d. -3

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.

In the figure below, triangle rpq is similar to triangle rts. what is the distance between p and q? a. 24 b. 42 c.50 d. 54