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A ladder 14 ft long rests against a vertical wall. Let theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to theta when theta = pi/3
Of all numbers whose sum is 50, find the two that have the maximum product. That is, maximize Q=xy, where x+y=50
If a manager sets the reorder point at 30, determine the probability of a stock-out on any given order cycle. Determine the number of times the manager should expect a stock-out during the year if this reorder point were used.
A ski-lift runs to the top of a hill has a rise to run ratio of 3/7. The horizontal distance from the bottom of the lift to the center of the mountain is 3000 ft. How high is the hill?
The length of a rectangle is 2 more than three times the width. The area of the rectangle is 161 square inches. What are the dimensions of the rectangle?
A legislative committee consists of 8 Democrats, 6 Republicans, and 1 Independent. A delegation of 3 is selected to visit a small Pacific island republic-
Explain how you would use probability, statistics and geometry in the computer forensics field, give one example of each to illustrate the concept.
A standard 1 kilogram weight is a cylinder 43.5 mm in height and 48.5 in diameter. What is the density of the material?
Automorphism of a Group, Let G be a group, T an automorphism of G, N a normal subgroup of G. Prove that (N)T is a normal subgroup of G.
23 cars had only air conditioning, 63 cars had only automatic transmissions, and 28 cars had only power steering. 10 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not pow..
Find the function representing the demand p(x) , where x is the number of the television sets sold per week and p(x) is the corresponding price.
How rapidly is the diameter of the balloon increasing when the diameter is 1.1 feet?
How many pairs of shoes would you need to sell if you wanted to make a profit greater than $50000? Interpret your result.
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