Hallie applied a dilation given by the rule D 0.8(x, y)=(0.8x,0.8y )D0.8(x, y)=(0.8x,0.8y) and centered at the origin (0, 0) to a quadrilateral in a coordinate plane. The quadrilateral’s image has vertices with coordinates of A′A′(-8, 12), B′B′(4, -8), C′C′(12, -4), and D′D′(16, 8).

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v = 1 3 πr2h.)

The random variable x represents the number of phone calls an author receives in a day, and it has a poisson distribution with a mean of 8.7 calls. what are the possible values of x

What is the slope of the line shown below?