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A cable weighing 0.8 pounds per foot is attached to a small 90-pound robot, and then the robot is lowered into a 40-foot deep well to retrieve a 7 pound wrench. The robot gets out of the well (carrying the wrench) by climbing up the cable with one end of the cable still attached to the robot. How much work does the robot do in climbing to the top of the well?
The sum of three numbers is 98. The ratio of the first to the second is 2:3, and the ratio of the second to the third is 5:8. Find the value of the second number?
the distance on the map between tallahassee and miami is 5.5 centimeter. how many kilometers are represented by this distance on the map?
Jim is helping Tom put up a fence diagonally across his 20 square foot backyard. What will be the length of the fence in radial form?
Define a Markov chain with r+1 classes and find its transition probability matrix.
Two circles of different radii touch internally at C. A tangent at P on the smaller inner circle touches the larger circle at A and B. Join ABC. Prove that CP bisects angle
Saunders Corp. has current liabilities of $440,000, a quick ratio of 0.81, inventory turnover of 5.7, and a current ratio of 1.8. What is the cost of goods sold for the company?
Describe how a domestic fast food chain like McDonald's with plans for expanding into China would be able to use a forecasting model.
Claire sells packets of sunflower seeds for $0.95 each and packets of morning glory seeds for $1.43 each. She decides to offer a 16-packet spring-garden combination, combining both types of seeds at $1.10 per packet.
A woman w = 6 ft tall is standing near a street lamp that is s = 14 ft tall. Find a function that models the length L of her shadow in terms of her distance d from the base of the lamp.
A rational number r = p/q, where p, q are in Z, is said to be properly reduced if p and q (q > 0) have no common integral factor other than +1 or -1. Define the function f as follows;
HP has endoints H (-4, 2 * square root of 3) and P (1, - square root of 18) Find the coordinates of the image HP after a dilation centered at the origin with k=2/3.
Use Gauss's law to find the charge enclosed by the cube with vertices {(+/-)1,(+/-)1,(+/-)1} if the electric field is E(x,y,z) = 4xi+2yj+1zk
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