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Question: A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other words, the tank is not standing vertically on one of its flat ends.) If the radius of the cylinder is 4 feet, its length is 12 feet, and its top is 10 feet under the ground, find the total amount of work needed to pump the gasoline out of the tank. (Gasoline weighs 42 lb/ft3.)
Fill in the table of values for the function, and give a short interpretation for each point. How long will it take for the rocket to return to the ground?
Rewrite Euclid's division theorem, using the notation above for statements about variables. Leave out the references to universes so that you can see clearly.
A key in the Vigenère cryptosystem is a string of English letters, where the case of the letters does not matter. How many different keys for this cryptosystem are there with three, four, five, or six letters?
the following table summarises the key facts about two products a and b and three resources q r and s required to
Suppose the population standard deviations for men and for women both were about 100. Construct a 95% confidence interval to estimate the difference in the population mean scores on this event for men and women.
there are three items from which to choose. their volumes are 2,3 and 4ft^3. and the hiker estimates their associated values on a scale from 0 to 100 as 30, 50 and 70,respectively. express the problem as longest route network, and find the optimal..
The probability that a teenage driver will speed is 0.8; for a twenty-something driver, the probability of speeding is 0.5; for a mature driver
One rope is horizontal and the other is inclined at an angle ? to the horizontal, as shown in the diagram below. The tension in the rope inclined at ? to the horizontal is 72N. Find the angle ?, giving your answer to the nearest degree.
Parts being manufactured at a plant are supposed to weigh 40 grams. Suppose the distribution of weights has a Normal distribution with mean 40 grams and a standard deviation 2 grams. Quality control inspectors randomly select 16 parts, weigh each,..
One day, the temperature at 8:00 A.M. was 41°F, and by 1:00 P.M. the temperature was 61°F. What was the hourly rate of temperature change?
Drive Wheels of an Engine TIle drive wheel of an engine is 13 inches in diameter, and the pulley on the rotary pump is 5 inches in diameter. If the shafts of the drive wheel and the pulley are 2 feet apart, what length of belt is required to join ..
A communication tower is fixed to the top of a building. From a point 10 m from the base of the building, the angle of elevation to the top of the building is 60°, and to the top of the tower is 68°. What is the height of the communication tower, ..
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