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Let A be a matrix of size m × n and let B be a matrix of size k × l .
a. Describe a relationship between m, n, k, and l so that both products AB and BA are defined.b. Describe a relationship between m and n so that the product AA is defined.
Tom and Jim decided to play the following game for points. A single die is rolled. If it shows a non-prime number, Tom receives points equal to two times the number of dots showing
A 112 ft tower is located on the side of a mountain that is inclined 20° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 72 ft downhill from the base of the tower. Find the shortest length of wire ne..
two minor league baseball players got a total of 354 hits. washington had 10 more hits than sanchez. find the number of hits for each player.
Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]
Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer.
A school had a very unusual tradition involving its 1000 students and its 1000 lockers. On opening day, after the head of the school had closed all the lockers, a student walked by and opened every single one.
Justin had $33 before spending b dollars on jeans. How much money remains?
Jam buys 12 pens for $10.Each pen costs the same amount of money. Write a proportion to find the number of pens Jan can buy for $15.Then solve your proportion for the number of pens.
A manufacture has been selling 1300 television sets a week at 420 each. A market survey indicates that for each 16 rebate offered to a buyer, the number of sets sold will increase by 160 per week.
A bond with a face value of 100; 000 has coupons of 3% per annum payable semi-annually. It will be redeemed at par. It is purchased for a price of 91,825. At this price the yield to maturity is 4% per annum convertible semi-annually. Calculate the..
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
find the probability that among six companies surveyed at random, the number that give employees 4 weeks of vacation after 15 years of employment is anywhere from 2 to 5.
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