(a) Four cities, conveniently named A, B, C, and D, lie along a very straight road, not necessarily in that order. B is between C and D, and D is between B and A. The
distance from B to C equals the distance from A to D, which is twice the distance
from B to D. The distance from A to C is 250 mi. What is the distance from A to B?
Justify your answer.
(b) In her back yard, Carmen wants to build a swimming pool that is 12 ft by 40 ft.
She also plans to build a deck that is 6-ft wide surrounding the pool. What is the
area of the deck?
I

What is the range? can’t seem to find it out

The boiling point of water at an elevation of 0 feet is 212 degrees fahrenheit (°f). for every 1,000 feet of increase in elevation, the boiling point of water decreases by about 2°f. which of the following represents this relationship if b is the boiling point of water at an elevation of e thousand feet? a) e = 2b - 212 b) b = 2e - 212 c) e = -2b + 212 d) b = -2e + 212

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)