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dimensions of a rectangle of such that its length is 5in more then its width. If the length were doubled and the width were decreased by 2, the area would be increased by 220 in.^2. What are the width and the length of the rectangle?
Let S a subset of R be compact. Prove that every infinite subset of S has an accumulation point in S
How many different arrangements of the entries are possible? If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
A box with a square base has length plus girth of 118 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2200 in3?
If the probability of an event is .857, what is the probability that the event will not occur?
A poster is to have an area of 180 in2 with 2 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area?
Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?
You are estimating the cost ($K) of optical sensors based on the resolution of the sensor (i.e. how small of an object it can detect). Using the preliminary calculations from a data set of 8 sensors, determine the equation of the line. (Round your..
In 2006, Jenny began selling magazines. The company sold Jenny a beginning packet for $250.00. Jenny's cost for each magazine is 10% of the sales price.
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
A recipe uses two eggs, three cups of flour & some other ingredients. The recipe makes enough batter for 6 servings. How many cups of flour will be needed to make enough batter for ten servings?
What is your monthly mortgage payment? How much does your house cost per month including principal, interest, real estate taxes, and insurance?
A. At what rate are sales changing in the year 2002? B. What happens to sales in the "long run" (that is, as t )?
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