Use Pascal's triangle to expand the binomial.(4x - 3y)3

A. 16x3y - 24x2y2 + 9xy3
B. 16x3y - 12x2y2 + 9xy3
C. 64x3 - 144x2y + 108xy2 - 27y3
D. 64x3 - 48x2y + 36xy2 - 27y3


Answer: C

Mathematics

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Solve the problem.The following table shows the rate of water flow (in gal/min) from a stream into a pond during a 30-minute period after a thunderstorm. Use the Trapezoidal Rule to estimate the total amount of water flowing into the pond during this period.

A. 9050.0 gal B. 9975 gal C. 9983.3 gal D. 11,350 gal

Mathematics

Solve the problem.Assume that the profit generated by a product is given by  where x is the number of units sold. If the profit keeps changing at a rate of  per month, then how fast are the sales changing when the number of units sold is 800? (Round your answer to the nearest dollar per month.)

A. $2121/month B. $67,882/month C. $4243/month D. $5/month

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Use a Sinking Fund table to find the value.

A. 0.13051 B. 7.66246 C. 0.03831 D. 0.14230

Mathematics

Solve.A company has 63,000 employees. Of these,  drive alone to work,  car pool,  use public transportation,  cycle, and the remainder use other methods of transportation. How many employees use each method of transportation?

A. Drive alone: 2,100; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 
B. Drive alone: 21,000; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 
C. Drive alone: 21,100; car pool: 10,500; public transportation: 8,900; cycle: 7,000; other: 1000
D. Drive alone: 21,000; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 

Mathematics