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When the base of a ladder that has been resting against a wall is pulled out 4 meters from the wall, the top of the ladder drops by 1/5 the length of the ladder. what is the length of the ladder?
If the marble selected is white, then what is the probability that a flip resulted in a head?
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.
carolyn and kim are selling lemonade this summer. It cost $0.10 to make each cup pf lemonade . they are going to sell each cup of lemonade for $0.25 . What is the least number of cups of lemonade they need to sell in order to collect $10.00 more t..
Examples of the product rule of exponents: Sometimes when students see the rule they want to write it as 4^2 + 4^3 = 4^5. Can you explain why this does not work?
88 feet of fencing to enclose a rectangular plot if you do not fence the side along the river. find the length that will maximize the area.
Find the range of optimality for Cx, You are given a linear programming problem that has already been solved. The following conditions hold
What is the annual compound interest rate for an investment account modeled by the function y = 12 • 1.18x?
A random sample of 50 employees at a company was obtained. The one-way distance from home to work was recorded for ach employee in the sample. Suppose the mean of the sample was 15.2 miles and the standard deviation was 4.2 miles.
Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)= 0.1x^2-1.4x+5.509, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average co..
Test for population mean
Suppose that g: Y-->R is a function which is differentiable at y_0. Then the function g o f: X-->R is differentiable at x_0, and (g o f)' (x_0) = g'(y_0)f '(x_0)
Show that the given relations are contradictions
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