the volume of a sphere is increasing at a constant rate of 98 cubic meters per second. at the instant when the volume of the sphere is 44 cubic meters, what is the rate of change of the surface area of the sphere?

99 points at a zoo, the leopard pen has a ring-shaped sidewalk around it. the outer edge of the sidewalk is a circle with a radius of 12 m. the inner edge of the sidewalk is a circle with a radius of 8 m. (1 point for showing all of your work) a. write and simplify an expression for the exact area of the sidewalk. (1 point for the answer) b. find the approximate area of the sidewalk. use 3.14 to approximate π. (1 point for the answer)

Ou have a 20-ounce bottle of juice. you pour out 14 of the bottle to share with a friend. if you pour out 3 ounces for yourself, what fraction of the 20 ounces will be left in the bottle? clear check 35 25 12 1320

Assume that there is a 11% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?