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the load a beam with a rectangular cross section can support is jointly proportional to the beam's width and the square of its depth and inversely proportional to its length one beam is half as wide twice as long and three times as deep as a second beam find the ratio of the loads they can support
A ball of radius 16 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid.
A machinist can produce 114 parts in 6 minutes. At this rate, how many parts can the machinist produce in 15 minutes?
The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travel 310 miles in the same time it takes the freight train to travel 260 miles. Find the speed of each train.
a) Find the price function , where is the number of the television sets sold per week.
What are 3 different ways of solving a system of linear equations?
Detailed Explanation to Probability Distribution, A small bag of Skittles candies has the following assortment
Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?
Write and solve an inequality to find the possible number of times you can have Dream Pools clean your pool within your budget. Show your work and explain your thinking.
A machine produces widgets at a defective rate of 6%. A sample of 6 widgets is taken, What is the probability that less than 2 of them are defective?
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..
Calculate the line integral of F from P_0 at (1,0,0) to P_1 at (-1,0,0) along the direct line path joining these points. Calculate the line integral of F from P_0 at (1,0,0) to P_1 at (-1,0,0) along the horizontal semicircular path joining these poi..
With the definition that pi is the area of the unit circle, explain why pi equals 8 times the integral from 0 to 1/sqrt(2) of (sqrt(1 - x^2) - x) dx. use the Romberg algorithm to approximate the integral.
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