The volume of a cylinder is 156π cm cubed. What is the volume of a cone with the same base and height as the cylinder?

If x = ∛200, which of the following inequalities is true? * 2 < x < 4 3 < x < 5 6 < x < 6.5 4.5 < x < 5.5 5 < x < 6

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

Which statements describe the solutions to the inequality x< -20 check all that apply. there are infinite solutions. each solution is negative. each solution is positive. the solutions are both positive and negative. the solutions contain only integer values. the solutions contain rational number values.