Answered: (2) Identify the next likely term in…

Math

Algebra

(2) Identify the next likely term in the sequence and the type of sequence: 5000, 2000, 800, 320, ...

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.5: Markov Chain

Problem 45E: Epidemic Model In a population of 200,000 people, 40,000 are infected with a virus. After a person...

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Epidemic Model In a population of 200,000 people, 40,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune cannot become infected again. Of the people who are infected, 5 will die each year and the other will recover. Of the people who have never been infected, 25 will become infected each year. How many people will be infected in 4 years?
A system of two 2000L holding tanks is set up with a pipe bringing water to the first tank, another pipe taking water from the first tank to the second, and a final pipe draining away from the second tank, with each pipe moving 100L/hr. Usually, the system holds nothing but pure water, with the tanks kept half-full. One day (or so the story is told), an apprentice spilled a 10kg bag of salt at the mouth of the pipe feeding into the first tank. To add further injury to the original injury, the bag itself flew from his grasp and partially clogged the pipe draining from the second tank (don’t ask how – it just did). If the pile of salt is being dissolved by the water at the rate of half of the remaining pile every three hours and if the drainage pipe now only carries 90L/hr, what is the amount of salt in the second tank after hours? As usual, assume everything mixes instantly.
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining squares, what is the total weight in tons of all the wheat that will be placed on the first 57 squares? (Assume that each grain of wheat weighs 1/7000 pound. Remember that 1 ton=2000 lbs.) (Use scientific notation. Use the multiplication symbol in the math palette as needed. Do not round until the final answer. Then round to six decimal places as needed.)
"In a display window, a grocer wishes to place boxes of detergent in pyramid form so that the bottom row (first row) contains 15 boxes, the next row contains 14 boxes, the next row contains 13 boxes, and so on, with one box on top.' 1. What type of sequence represent the problem? 2. What is the model equation for the problem? (Let y be the number of boxes and x be the order of the row.) 3. How many boxes are there in the 10th row? 4. There will be 3 boxes in what row? 5. How many boxes of detergent are necessary for the pyramid?
1. Find all the critical points for the system. Solve using simple logical steps.
2. A manufacturer will produce shirts and vests. Each shirt requires 3 yards of cloth, while each vest requires 2 yards of cloth. The manufacturer has 60 yards of cloth available. Each shirt takes 15 minutes of labor to produce, while each vest takes 18 minutes of labor to produce. Assume there are 6 hours (360 minutes) of labor available. If the manufacturer earns $5 profit on each shirt and $3 profit on each vest, how much of each product should they produce?
A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach point B, 3 km downstream on the opposite bank, as quickly as possible (see the figure below). He could row his boat directly across the river to point C and then run toB, or he could row directly to B, or he could row to some point D between C and B and then run to B. If he can row 6 km/h and run 8 km/h, where should he land to reach B as soon as possible? (We assume that the speed of the water is negligible compared to the speed at which the man rows.) PLEASE INCLUDE ILLUSTRATION
A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach point B, 3 km downstream on the opposite bank, as quickly as possible (see the figure below). He could row his boat directly across the river to point C and then run toB, or he could row directly to B, or he could row to some point D between C and B and then run to B. If he can row 6 km/h and run 8 km/h, where should he land to reach B as soon as possible? (We assume that the speed of the water is negligible compared to the speed at which the man rows.)
Parallel processing is the simultaneous use of more than one computer to run a program. Suppose one computer, working alone, takes 9 hours longer than a second computer to run a program. After both computers work together for 1 hour, the faster computer crashes. The slower computer continues working for 7 hours before completing the program. How long would it take the faster computer ,working alone, to run the program?
1. A manufacturer will produce shirts and vests, Each shirt requires 3 yards of cloth, while each vest requires 2 yards of cloth. The manufacturer has 60 yards of cloth available. If the manufacturer earns $5 profit on each shirt and $3 profit on each vest, how much of each product should they produce?
-Solve the answers of the system of equations using (a) Gauss-Seidel, and (b) Jacobi. -Stopping criterion = 5%. -Show only the necessary solution.-Round your answers to 6 decimal places (if applicable)PLEASE SHOW THE VALUE OF Ea AND Et VALUE TOO IN THE SOLUTION AND TABLE.WILL DO UPVOTE AFTER.
6) If Art and Rita can do a job in 8 hours (working together at their respective constant rates), and Art can do the job alone in 12 hours, how many hours would it take Rita to do the job alone?