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When gravel is deposited from a conveyor, it assumes the shape of an inverted right circular cone. The steepness of the pile depends on the average size and roughness of the pieces of gravel. For one particular grade of gravel, the ratio of the height of the cone to its radius is 3:2. The conveyor delivers 20 cubic feet per minute to the pile. How fast is the height of the pile increasing when its radius is 10 feet?
Suppose that a car normally sells for $16,500 and is now on sale for $14,000. What is the percent of discount? If necessary, round your answer to the nearest tenth.
Two forces of 255 N and 325 N act on an object. The angle between the forces is 64 degree. Find the magnitude of the resultant and the angle that it makes with the smaller force.
Given a set of all real numbers containing 4s and 5s in their decimal representation. Determine the given set is countable or uncountable.
Suppose that you select 3 cards without replacement from an ordinary deck of playing cards. If the first card that you select is a spade and the second is a heart, what is the probability that the third card that you select is a spade?
How do I relate the relationship between geometry and abstract algebra to how the symmetries of a square are conceptualized as the dihedral group of 8?
A plane flies 470 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is 26 mph, what is the speed of the plane in still air?
Find the volume of the solid generated by revolving the region bounded by the graph of y=x*sqrt(4-x squared), y=0 about the x axis.
The length of the transverse axis is 8, and the length of the blue line segment is 7. How long is the red line segment?
Find Probability Of M Ms In A Jar. A jar contains 15 M&Ms: 4 red, 5 green, and 6 yellow. Two candies are picked from the jar (no replacement).
Two trains leave stations 312 miles apart at the same time and travel toward each other. One train travels at 75 miles per hour while the other travels at 55 miles per hour. How long will it take for the two trains to meet?
Suppose that at a certain instant the volume is 550 cubic cm, the pressure is 80 kPa, and the pressure is increasing at a rate of 100 kPa per min. At what rate is the volume decreasing at this instant?
If it costs Acme Manufacturing C dollars per hour to operate its golf ball division, and an analyst has determined that C is related to the number of golf balls produced per hour, x, by the equation C = 0.009x squared - 1.8x + 100.
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