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1. The top of a tower is a sphere with a diameter of 40ft. A layer of paint 0.08 inches thick is applied to the sphere. Approximate the volume of the paint that is used.
2. The radius of a sphere is measured with a percentage error within + or -0.04%. Estimate the percentage error in the calculated volume of the sphere.
Please explain how division of real numbers corresponds with division of polynomials and give an example.
Determine which numbers are solutions to the given equality
What are the values of the companies as stand-alone companies? If the combined firm increases its operating margin by 2%, revenues are combined, and the other value drivers remain unchanged, what is the value of the combined firm?
If the temperature is constant then the atmospheric pressure P (in pounds/square inch) varies with the altitude above sea level h in accordance with the law
Use the previous fact to show that Fermat's equation x^n + y^n = z^n has no integer solutions when n>/= 2 is even and both x and y are odd,
Some people say that the Difference of Two Squares formula helps them to multiply large numbers without a calculator. How would you use this formula to multiply 201 by 199?
John is purchasing a house for $100,000, seeking a mortgage loan for $80,000 or 80% loan to cost. He was offered a loan of at 6% fixed for 30 years. What will Johns monthly payment be? What is the mortgage constant?
Suppose that the function P=11+44 ln x represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2002.
The revenue of Theta Corporation is given as R=15x, where x is the number of units produced (in thousands). If the cost is how many units will have to be produced before the company breaks even?
Multiplication on the 12 hour clock
Consider the set of polynomials with real coefficients. Define two elements of this set to be related if their derivatives are equal. Prove that this defines an equivalence relation.
Explain why there are usually two solutions in quadratic equations? Please also share an example of a non-linear equation applied to a real life problem?
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