Let $x,$ $y,$ and $z$ be positive real numbers. Find the minimum value of \[(x 2y 4z) \left( \frac{4}{x} \frac{2}{y} \frac{1}{z} \right).\]

The area of the map is the product of the length and width. write and expression for the area as the product of the two binomials do not multiply

Find the arc length of the semicircle. 7the grade

Which of the following is the maximum value of the equation y=-x^2+2x+5 a. 5 b. 6 c. 2. d. 1