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A farmer wishes to enclose a rectangular region with 455 meters of fencing in such a way that the length is 5 times the width and that the region is divided along its length into two equal parts. How many meters long and how many meters wide?
A 17.28 foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 6 feet per second, how fast is the area A of the triangle formed by the wall, the ground, and the ladder changing..
what is the amount of depreciation during the fifth year?
Different ways to schedule appearances of 4 performers. There are 4 performers who will present their comedy this weekend at a comedy club
A balloon is rising at a rate of 2 ft/sec. When the balloon is 148 ft above the ground a bike is moving at a rate of 20 ft/sec under it. How fast is the distance between the bike and balloon increasing 6 seconds later?
At a certain time, Janice notices that her digital watch reads a minutes after two o'clock. Fifteen minutes later, it reads b minutes after three o'clock. She is amused to note that a is six times greater than
Write a Matlab script to do the following. Assign m and n to 3 and 4 respectively, create a m by in matrix with terms a_ij=i*j and call t A and then multiply A by random 4x4 matrix
A box with a square base and open top must have a volume of 4000 cm3. Find the dimensions of the box that minimize the amount of material used.
If refinishing your basement at a cost of $40,105 would add $22,056 to the resale value of your home, what percent of your cost is recouped? (Round to the nearest percent.)
Describe specifically how you will use the technology to create the computer-based simulation model.
Show that the limit of x(t) as x-> infinity is finite, i.e., the boat will travel a finite amount of distance after its motor quits. What is the maximum distance the boat will travel after its motor quits?
The base of a triangle is 6 cm greater than the height. The area is 56 cm^2. Find the height and the length of the base.
Solve the following linear system using Gaussian elimination. Solve the following linear system using Gaussian elimination.
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