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Find the area A of the region if the length of the side parallel to the river bank is one-half the length of an adjacent side.
Amy plans to paint both sides of a fence whose base is in the xy-plane and is given by the points (x,y) where x = 30cos^3(t) and y = 30sin^3(t) for 0
Matrix of transition probabilities. The daily price of a farm commodity is up, down, or unchanged from the day before. Analysts predict that if the last price was down, there is a .5 probability the next will be down,
A table shows number of tickets and ticket cost, describe the pattern. How does the cost per ticket change as you buy more tickets?
Let (a_n) evaluated from n=M to infinity be a sequence of real numbers. Then the limit lim as n-->infinity of a_n exists and is equal to zero if and only if the limit lim as n-->infinity of the absolute value of a_n exists and is equal to zero.
In the page 82 B(G) is defined like independent sets like you say but in the page 187 it other kind of B and it is define like Betti number and it is defined below
Suppose you are committed to owning a $199,000 Ferrari. If you believe your mutual fund can achieve a 12 percent annual rate of return and you want to buy the car in 9 years on the day you turn 30, how much must you invest today?
A company is producing cylindrical blocks for a children's toy. The average diameter of a block is 3.5 inches. Sixteen blocks are inspected and the diameters are measured. The standard deviation is estimated to be 0.02 inches.
A studebts tuition was $4180. A loan was obtained for 4/5 of the tuition. How much was the loan?
Imagine that a line on a Cartesian graph is approximately the distance y in feet a person walks in x hours. What does the slope of this line represent? How is this graph useful? Provide another example for your colleagues to explain.
How much wire should be used for the square in order to minimize the total area?
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.
An investor invested a total of $2,500 in two mutual funds. One fund earned a 4% profit while the other earned a 25 profit. If the investor's total profit was $78, how much was invested in each mutual fund?
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