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there are approximately 202 gallons per cubic yard of water. write and solve an equation for the number of gallons of water that fill a pool with a volume of 1161 cubic feet. hint there are 27 cubic feet per cubic yard
Find the resultant (sum) of the complex numbers. Express in rectangular form
a couple just had a baby.how much should they invest now at 5.5% compounded daily in order to have $40,000 for the child's education 17 years from now? compute the answer to the nearest dollar.
A Norman window consists of a rectangle surmounted by a semicircle. What shape gives the most light for a given perimeter?
A bucket that weights 4 lb and a rope of negligible weight are used to draw water from a well that is 70 ft deep. The bucket is filled with 36 lb of water and is pulled up at a rate of 2.5 ft/s, but water leaks out of a hole in the bucket at a rat..
Find the p-value for each of the following hypothesis testing situations.
Mr. Smith feels that each day his dog should have at least 8 units of protein, 5 units of carbohydrates, and 16 units of fat. How many cans of each dog food should he give to his dog each day to provide the minimum requirements at the least cost?
from a point of observation 10 feet above the top of a 260 ft cliff, the angles of depression of two boats due east of the observer are 42 degrees 10' and 25 degrees 12'. find the distance between the two boats.
What is the probability of winning a lottery in which you must choose 4 numbers from the number 1 through 15.
Standard Deviation of Expected Profits. Suppose that next year the U.S. will be in one of the following economic conditions: Boom, Moderate Growth, Recession, or Depression.
Determine the coefficients of the function if the coordinates of the vertex of the parabola are the ordered pair (-100,-5000) and the fixed cost is $5000. Determine the domain and range of the variables, is the vertix a minimum or a maximum, why?
Use chain rule to verify that every function of the form. Then use this fact to find the solution which also satisfies the initial conditions:
Find the mass of a wire formed by the intersection of the sphere x^2 + y^2 + z^2 = 1 and the plane x + z=0 if the density of a wire is x^2?
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