For a body falling freely from rest(disregarding air resistance) ,the distance the body falls varies directly as the square of the time. If an object is dropped from the top of a tower 150 feet high and hits the ground in 5 seconds, how far did it fall in the first 3 seconds?

Determine the mean and variance of the random variable with the following probability mass function. f(x)=( 729divided by 91) (1 divided by 9) superscript x baseline comma x equals 1,2,3 round your answers to three decimal places (e.g. 98.765).

Factor -8x3-2x2-12x-3 by grouping what is the resulting expression?

Circle a has a diameter of 7 inches, a circumference of 21.98 inches, and an area of 38.465 square inches. the diameter of circle b is 6 inches, the circumference is 18.84 inches, and the area is 28.26 square inches. part a: using the formula for circumference, solve for the value of pi for each circle. (4 points) part b: use the formula for area and solve for the value of pi for each circle. (4 points)