10cm Cube C: 10cm 10 cm x = 2L of fluid

A tank initially contains 400 gal of water with 20 lb of salt dissolved. A brine with salt concentration 0.2 lb per gallon begins to flow in the tank at the constant rate 10 gal per minute. The completely mixed solution flows out at the same rate. Find the amount of salt in the tank after 30 minutes. How much salt would be in the tank if the flow never stopped?

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of the container.

A swarm of bees is spreading from an original region of 1 square mile. The region the swarm occupies doubles in area each year. At this rate, how long will it take for the swarm to cover an area of 100,000 square miles?

Plz help. Thanks so much.

Integrate and simplify:

Liquid is pouring into a large vat. After t hours, there are 5t + 1t gallons in the vat. At what rate is the liquid flowing into the vat (in gallons per hour) when t = 4?

Todd runs around the perimeter of a circular track at 8 ft/sec. The track has a radius of 80 yd. After 30 seconds, Todd turns and runs to the center of the track along a straight (radial) line. Upon reaching the center, he turns and runs away along a different radial line to his starting position on the perimeter. (a) How far has Todd traveled once he has returned to his starting position? distance = 720 v feet (b) How much time will it take for Todd to complete his circuit? time = seconds (c) Find the area of the pie-shaped sector enclosed by path. area = sq-yd

The diameter of a basketball is 18 centimeteres. Detemine the volume in terms of rr.