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In a ballroom dance class, participants are divided into couples for each drill session. One partner leads and the other follows for three minutes, and then the couple switches roles for the next three minutes.
(a) Only four people show up on time. How many ways are there to pair them up?
(b) If instead six people show up on time, how many ways are there to pair them up?
(c) Assume all m people in the class arrive on time. (There are an even number of people in the class.) How many ways are there to pair them up?
Budweiser, Miller and Coors, together with their subsidiary brands and foreign corporate partner brands produce 80% of all beer consumed in the US. Each spends well over $600 million a year on television advertising campaigns, promoting their beer br..
Describe an application for the use of ratios or proportions and how it could be useful in your daily life?
Suppose A is an m X n matrix with the property that for all b in Rm the equation Ax = b has at most one solution. Use the definition of linear independence
1.An organization invests $500,000 in an investment which is expected to yield interest at a rate of 9 percent per year compounded semiannually. If the money is invested for 10 years, to what amount should it grow? How much interest will be earned du..
Sketch a graph showing his earnings as a function of the level of his sales x. Determine the values of x for which the function f is discontinuous.
Box A contains 142 marbles,box B contains 152 marbles,and box C contains 136 marble. Marbles are to be transferred only from box B to box C. What is the least number of marbles that must be transferred so that box C will contain more marbles than ..
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The area of a rectangle is 48 square centimeters. If the length of the rectangle is 8 centimeters longer than the width, how wide is the rectangle?
the anxiety general stress test angst has been designed to gauge the level of psychological stress management trainees
You are standing on a hotel balcony 30 feet up from the ground. You want to throw your key to someone standing outside the hotel on the ground. You throw it angled upward with an initial velocity of 55 ft/sec. Assume that the acceleration due to g..
Maximize f = 2x + 6y subject tox + y ≤ 72x + y ≤ 12x + 3y ≤ 15
The cost of the material used for the top is $.01 square inch; the cost of the material used for the bottom is $.03 per square inch, and the cost of the material used for three sides is $.02 per square inch. What are the dimensions of the box with..
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