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Decide whether or not each equation has a circle as its graph. If it does, give the center and the radius. If it does not, describe the graph.
x2+y2+8x-6y+16=0
(x2+8x)+(y2-6y)=-16
A mailbox is composed of a prism and a half cylinder. What is the approximate volume of the mailbox?
multiple choice question from probability.choose the one alternative that best completes the statement or answer the
Given a prime number, use Generating functions to find the prime number that immediately follows it. For example, if I give a 5, then there will be F(2,3,5) = 7 ; if I give a 11, there will be F(2,3,5,7,11) = 13 ....... (this is a function of all pri..
Find the volume of the resulting solid when the region bounded by y=3x^2+5x, y=0, and x=4 is revolved about the x-axis
The U.S. Postal Service reports that we open and read 78% of the junk mail that we receive. A sports instructional video tape company sends out 10, 500 advertising brochures. How many of the brochures can it expect to be opened and read?
James borrows $12,000 for equipment so that he could do some of his personal training work in his garage. He agreed to repay $13,200 after 300 days. Find the amount of interest and the interest rate.
Suppose there are two events, A and B. A and B are mutually exclusive. P(A)=.4, P(B)=.5. What is P(A'|B)?
Prove equivalence relation
An object is thrown upward from the top of a 112-foot building with initial velocity of 96 feet per second.the height of h of the object after t seconds is given by the quadratic equation h =-16t^2+96t+112 when will the object hit the ground?
Use differentials to estimate the amount of material in a closed cylindrical can that is 70 cm high and 28 cm in diameter if the metal in the top and bottom is 0.1 cm thick, and the metal in the sides is 0.05 cm thick.
The mean selling time of a detached
The cost of transporting a large truckload is $35 and the cost of for a small truckload is $25. What is the most economical way to ship the machines?
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