Math Assignment: A display case for the artifact is in the shape of a cube. Each side of the display case is three times longer than the width w of the artifact.

a. Write an expression for the volume of the case. Write your answer as a power.

Written as a power, an expression for the volume is __
.

b. Simplify the expression.

A simplified expression for the volume is __
.

Evaluate cos2θ for cosθ = square root of 3/2

The perimeter of a rectangular lot of land is 436 ft. this includes an easement of x feet of uniform width inside the lot on which no building can be done. if the buildable area is 122 ft by 60 ft, determine the width of the easement. select one: a. 9 feet b. 18 feet c. 4.5 feet d. 7 feet

Over the course of the school year, you keep track of how much snow falls on a given day and whether it was a snow day. your data indicates that of twenty-one days with less than three inches of snow, five were snow days, while of the eight days with more than three inches of snow, six were snow days. if all you know about a day is that it is snowing, what is the probability that it will be a snow day?