According to a certain estimate, the depth n(t), in centimeters, of the water in a certain tank at t hours past 2: 00 in the morning is given by n(t)= -20(t - 5)^2 + 500 for 0 ≤ t ≤ 10. according to this estimate, at what time in the morning does the depth of the water in the tank reach its maximum? a) 5: 30 b) 7: 00 c) 7: 30 d) 8: 00 e) 9: 00

The graph below represents the work done by a student while running up flights of stairs. determine the student's power output after 10 seconds: 1600 j/s 8000 j/s 160 j/s 800 j/s

The pressure, volume, and temperature of a mole of an ideal gas are related by the equation pv = 8.31t, where p is measured in kilopascals, v in liters, and t in kelvins. use differentials to find the approximate change in the pressure if the volume increases from 14 l to 14.6 l and the temperature decreases from 375 k to 370 k. (round the answer to two decimal places.)

A2-kg bowling ball is 2.5 meters off the ground on a post when it falls. just before it reaches the ground, it is traveling 7 m/s. assuming that there is no air resistance, which statement is true?