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A vat with length 6 meters, width 4 meters, and depth 3 meters is filled with water to a depth of 2 meters. Find the work required to pump all the water to the top of the vat. The weight density of water is 9810 N/m^3
Solve without graphing. Find the slope and the y-intercept for the graph of each equation in the given system. Use this information (and not the equations graph) to determine if the system has no solution or an infinite number of solutions.
the length of the transverse axis is 8, and the length of the blue lilne segment is 7. How long is the red line segment?
When the ticket price is 7 dollars the average attendance is 45000. When the price is dropped to 5 dollars then the average attendance rises to 50000. Find the demand function and how should the ticket price be set to maximize revenue?
Explain why G cannot contain a subdivision of K5, but must contain a subdivision of K3 and draw two such a graphs, one in which K3,3 is a subgraph, and One in which there is a proper subdivision of K3,3 as a subgraph
A small gift shop is trying to determine the number of gift items it can sell to maintain a monthly revenue greater than $10,000. The revenue function for this business is R = -0.10N2 +70N, where R=monthly revenue and N=number of gift items sold p..
Finding the accumulated value of compound interest.
When a mass of 4 kilograms is tied to the middle of the clothesline, it sags a distance of 1 meters. What is the magnitude of the tensions at the end of the clothesline?
Retailers will buy 45 cordless phones from a wholesaler if the price is $10 each but only 20 if the price is $60. The wholesaler will supply 35 phones at $30 each and 49 at $38 each. Assuming the supply and demand functions are linear, find the ma..
It is known that 20% of old cars cannot pass the emission test . Four old cars are selected randomly . x is the number of card in the sample that cannot pass the emission test.
Graph each absolute value function and state its domain and range.
On a road trip, five friends drove at 55 mile per hours to California. On the way home, they took the same route but drove 65 miles per hour. How many miles did they drive on the way to California if the round trip took 10 hours?
A rect. prism has a length of (l), a width of (w), and a height of 1. Volume of the rect prism is 24cm3. Use your knowledge of volume and surface area to derive a function F(W) that represents the surface area of the rect. prism in terms of its wi..
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