The cost of a small business is given by the expression 1200 + 70x, where x is the number of units produced. The business will be profitable whenever its profit, y, exceeds its cost. If the profit region is shaded in red, which of the following graphs corresponds to the given situation?

Asphere has a diameter of 10 in. what is the volume of the sphere?

Candy lives in the center of town. her friend darlene lives 28 miles to the east and her friend dana lives 21 miles north. approximately how far do dana and darline live apart ?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 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)