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In rectangle ABDF above, C and E are midpoints of sides BD and DF, respectively. What fraction of the area of the rectangle shaded?
Verify that 18^3 - 1^3 = 17* 7^3 and find a point on the curve x^3 + y^3 = 17 with rational coordinates.
Use the formula to determine how long it takes the ball to return to the earth and Evaluate the maximum height of ball using given equation
Using the washer method, find the volume of the solid generated when the region bounded by the curves y=(square root of)x and y=x^2 is revolved about the x-axis.
A trapezoid with bases 4 m and 6 m is partially submerged vertically in water so that the top is 1 m above the surface and the bottom is 1 m below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate..
Amy paid $102.00 for a pair of New Balance 1122 running shoes during a 15% off sale. What was the regular price?
Calculating the probability values
If you are 18 years old, deposit $3,660 each year into a Roth IRA for 52 years at 3.9% interest compounded annually, and retire at age 70, how much money will be in the account upon retirement?
In a percent change graph of an average teachers annual salary the bars representing successive years are either unchanged or decreasing in size.
A feasible solution to an LP problem
Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $110,000. This distribution follows the normal distribution with a standard deviation of $40,000.
Find the Expected value of the investment
Which of the four operations on functions do you think is the easiest to perform? What is the most difficult? Explain why by showing examples for each function.
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