A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. if the trough is being filled with water at the rate of 0. 2 m3/min, how fast (in m/min) is the water level rising when the water is 40 cm deep?

Solve the following inequalities and show the solution on a number line. 3/4 (2x-7) ≤ 5

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Use composition to determine if (x) or h(x) is the inverse of f(x) for the limited domain x2-1.