Aubrey is selling tickets to a carnival. the function f(x) = 0.5x represents the amount of money in dollars aubrey earns per ticket, where x is the number of tickets she sells. the function g(x) = 4x represents the number of tickets aubrey sells per hour, where x is the number of hours she works.

find f(g( and explain its meaning.

f(g(x)) = 2x, which represents the money aubrey made in dollars per hour
f(g(x)) = 2x, which represents the number of tickets aubrey sold per hour
f(g(x)) = 8x, which represents the money aubrey made in dollars per hour
f(g(x)) = 8x, which represents the number of tickets aubrey sold per hour

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)