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A right circular cylinder has a diameter of 12 in. and a height of 12 in. If water is flowing in at the rate of 4π in3 per minute, find the rate of change of the height when the height is 4 in.
starting at point A, a ship sails 48km on a bearing of 226°, then turns and sails 15 km on a bearing of 286°. find the distance of the ship from the point A.
after the loam was ordered it was delivered and dumped in six conical piles each approximately 10ft in diameter and 8ft high compute the volume of the piles in cubic yards and determine if you received the amount you ordered ?
a trough is 10 feet long and its ends have the shape of isosceles triangles that are 3 feet across at the top and have a height of 1 foot. if the trough id being filled with water at a rate of 12ft3/min, how fast is the water level rising when the..
sketch the graph of a fuction whose domain eqauls the interval [1,3] and whose range equals the interval [-2,4]
A surfboard manufacturing company has determined that the cost function c(x), in hundreds of dollars, for producing x hundreds of boards is c(x) = .2x^2 -.84x + 3.625.
Solving problems on probability.
Kaya has two 750ml cans of juice. She wants to put the juice in a 1.5L pitcher. Will the pitcher hold all of the juice? Explain your answer.
suppose that a body with temp. 85F is discovered at midnight, and that the ambient temp. is 70F. the body is removed quickly to the morgue where the ambient temp. is 40F. after 1 hour the body temp. is found to be 60F. estimate time of death.
one train travels 392 miles and 20 mph faster in the same time another train travels 322 miles. What is the speed of each train?
a vending machine dispesses coffe into twenty-ounce cup. the amount of coffe dispensed into the cup is normally distrubuted with s standard deviation of 0.40 ounces. you allow the cup overfill 10% of the line. What amount should you set the mean a..
the annual income from the certificate of deposit is $200 more than the annual income from the mutual fund. how much money was put into each fund?
On a map 1 inch represents 58 miles. The distance between two cities on the same map is 5.85 inches. How many miles apart are the two cities?
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