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in 1990, 1 dollar equalled 125 yen. In 2010, 1 dollar equalled 80 yen. At this rate, how many yen will the dollar equal in 2015?
A vat with 600 gallons of beer contains 4% alcohol (by >volume). Beer with 6% alcohol is pumped into the vat at a rate of 6 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour?
Find all critical points of the function f (x) = -3x x + 2 Create a sign chart for the first derivative and based on the sign chart state intervals where the function is increasing and decreasing state exact values for the x and y coordinates for ..
An orchard contains 64 peach trees with each tree yielding an average of 53 peaches. For each 1 additional trees planted, the average yield per tree decreases by 6 peaches. How many trees should be planted to maximize the total yield of the orchar..
A textbook store sold a combined total of history and biology textbooks in a week. The number of biology textbooks sold was less than the number of history textbooks sold. How many textbooks of each type were sold?
Let G be k-critical graph with respect to vertex-arboricity (k>=3). Prove that for each vertex v of G, the graph G-v is not (k-1)-critical with respect to vertex-arboricity.
Allen Young has always been proud of his personal investment strategies and has done very well over the past several years. He invests primarily in the stock market.
A 6.00 in radius cylindrical rod is 2 ft long. Use a differential to approximate how much nickel (in in^3) is needed to coat the entire rod with the thickness of .12 in.
Use Gram-Schmidt algorithm to the sequence {x_1,x_2, x_3} to find an orthonormal basis of S. Use the result above to find the QR factorization of the matrix A=(x_1l x_2l x_3).
Consider the following relation R on the set of positive integers: R = {(x,y)|x and y have the same prime divisors}
find the length and width of a rectangle with the area of 72yd^2
Graph of the function - Find an accurate graph of the function.
If x is an element of a group and x is of order n then the elements 1, x, x^2,...x^n-1 are distinct (don't know how to show this!). Let Y= Y here is a group show
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