Arectangular swimming pool has a length of 48 feet and a width of 36 feet, a hose needs to extend from the southwest corner of the pool to the northeast corner of the pool. what is the shortest length the hose can be to extend from one corner to the other corner?
a. 42 feet
b. 60 feet
c. 32 feet
d. 84 feet

Asphere has a diameter of 10 in. what is the volume of the sphere?

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.