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Let G be the graph with vertex set Z n 2 (the same as the n-cube), and with edge set de?ned as follows: {u, v} is an edge of G if u and v in exactly two coordinates (i.e., if ?(u, v) = 2). What are the eigenvalues of G?
Let M be a two by two matrix for which each element is a real number, and let S be the set of all such matrices. Consider the mapping f of S to the real numbers R defined by the relation f(M) = determinant of M.
What is the crossover rate between Project A and Project B?
Gold temperatures. Gold stays solid at Fahrenheit temperatures below 1945.4°. Determine (in terms of an inequality) those Celsius temperatures for which gold stays solid.
Write a goal equation that represents the fluctuations in the production level from May to June, June to July, and July to August.
What will the quarterly payments be? At the end of the first year, how much interest will Mr. Sullivan have paid? By how much will he have reduced the principal?
A local hamburger shop sold a combined total of hamburgers and cheeseburgers on Saturday. There were more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
marathon run. Florence ran 26.2 miles in x hours in the boston marathon. a) Write a rational expression for her average speed. b) she runs at the same average speed for 1/2 hour in the cripple creed fun run. Write a rational expression for her dis..
Suppose that 646 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. Find the dimensions of the corral with maximum area (in terms of x and y)
The grades of 22 students are listed below. Use the stem & leaf to determine the shape of the distribution.
If an open box has a square base and a volume of 96 in. and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.
an airplane flies 490miles with the wind and 330 against the wind in the same length of time. if the speed of the wind is 20, what is the speed of the airplane in still air?
On each play the probability of winning is 0.432 and of losing 0.568. If the gambler begins with $2, what is the expected number of times that he will play before quitting? (Round your answer to 3 decimal places.)
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