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Unless otherwise specified, assume that all matrices in these exercises are n X n. Determine which of the matrices in are invertible. Use as few calculations as possible. Justify your answers.
Bottling Company Case Study
a merchant has 5 pounds of mixed nuts that cost $30. he wants to add peanuts that cost $1.50 per pound and cashews that cost $4.50 per pound to obtain 50 pounds of a mixture that cost $2.90 per pound. How many pounds of peanuts are needed?
A curve C is given by the vector equation r(t)=?2 - t, 3 + 2t, 3t?. Find the length of the curve in the interval 0 ≤ t ≤ 1
A Pyramid is 785 ft high (due to erosion, its current height is slightly less) and has a square base of side 3140 ft. Find the work needed to build the pyramid if the density of the stone is estimated at 180 lb/ft^3.
Find the proportion of customers that go away empty handed. Find the average time that an item is on the shelf
Find the probability that a bag of fertilizer will weigh between 45 and 55 pounds?
Find the probability that the first card is a king and the second card is a queen.
Statistical studies have shown that intelligence is not a predictor of math success; but motivation, study skills, and hard work are strong predictors. There is no such thing as a "math person" or a "nonmath person." Math is a matter of learni..
the surface area of the moon is 37 932 330 km2.calculate the side length of a square with the same area.
A researcher studies the average distance that 130 people who are living in U.S. urban areas walk each week. What is the size of the sample? Identify the population.
This summer you really want to spend as much time as possible at the local swim center and you find out there is a special offer.They usually charge 7$ per day to swim at the pool. This month swimmers can pay an enrolllment fee . Your 30$ and then th..
Find the maximum value attained by the function f on the whole real line.
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