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In a group of 40 students, 25 applied to Columbia and 30 applied to Cornell. If 3 students applied to neither Columbia nor Cornell, how many students applied to both schools?
but water leaks out of a hole in the bucket at a rate of 0.25 lb/s. Find the work done W in pulling the bucket to the top of the well.
A parabolic arch has an equation x^2 + 20y - 400 = 0 where x is measured in feet. Find the maximum height of the arch.
If local mortgage rates are 8.5%/year compounded monthly for a conventional 30-yr mortgage, what is the price range of houses they should consider?
Determine which of the congruences has a solution and why? (Give explanation).
calculate area of a square a square picture is mounted in a frame 1 cm wide. the area of the picture is 2/3 of the total area. find the length of a side of the picture.
Suppose K is a conjugacy class of S_n (the symmetric group), with K consisting of even permutations. Suppose that x in K. Show that K splits into two conjugacy classes
Sketch graphs using Mathcad for the following functions and state whether they are odd or even or neither
Rewrite the following system of equations as an augmented matrix. Put the matrix in reduced row echelon form to find the solution to the system of equations.
A can company reports that there were 3 breakdowns on its machine operator assembly line in the last thirty days. What is the probability that there will be more than two breakdowns tomorrow
A woman with a resting heart rate of 85 beats per minuteshould keep her heart rate between 139 and 157 beats per minute while excersising. She checks her pulse for 10 seconds while exercising. What should the numbers of beat be?
Two distinct even numbers are selected at random from the first ten even numbers greater than zero.
To finance the $15,000 cost of their kitchen remodeling, the Chews will make equal payments at the end of each month for 36 months. They will pay interest at the rate of 7.2% compounded monthly. Find the amount of each payment.
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