The volume, V, of a sphere in terms of its radius, r, is given by V(r)=43πr3. Find the radius of a sphere, in feet, with a volume of 500 cubic feet.

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

Walter is to make cookies for a basketball tournament. he's made 15 cookies so far. his coach asked him to make at least 20 cookies but no more than 55. solve the inequality and interpret the solution. 20 ? x + 15 ? 55

Adc is formed by reflecting abc across line segment ac, as shown in the figure. if the length of ac is 4 units, the area of adc square units. it wont let me put the picture but its a triangular pyramid thats abcd