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- A tank initially contains 100 gallons of Brine whose salt concentration is 0.5 lb/gal. Brine whose salt concentration is 2 lb/gal flow into the tank at a rate of 3 gal/min. The mixture flows out at a rate of 2 gal/min. Find the salt content of the Brine at the end of 30 minutes.10cm Cube C: 10 cm 10cm 2L of fluidKaminksy bronze sculpture is 5 feet in diameter, which is approximately 1.524 meters. if the sculpture was made of solid bronze, it's weight could be approximated using the density of bronze (d=7700 kg/m^3), the volume V in cubic meters, the mass, M, in kilograms and applying the formula d= m/v. Approximately, how many pounds would the sculpture weigh if it was made of solid bronze. (1 kg ≈ 2.205lb)
- 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.
- 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-ydThe diameter of a basketball is 18 centimeteres. Detemine the volume in terms of rr.
