Solve.A carpeted living room and dining room area measures 36 ft by 13 ft. Mark decides to install wood flooring in the 15-ft by 13-ft dining room. By what percent has he reduced the area that is carpeted?

A. 41.7%
B. 71.4%
C. 13%
D. 58.3%


Answer: A

Mathematics

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The following table shows the mass M, in kilograms, of a certain type of fish as a function of its length L in centimeters.

8010012014016021.542.574.1119179? A.  Calculate the average rate of change in mass as the length goes from 100 centimeters to 120 centimeters.B.  Calculate the average rate of change in mass as the length goes from 140 centimeters to 160 centimeters.C.  Based on your calculations from parts A and B, does an extra centimeter of length make more difference in weight for a smaller fish or a larger fish? What will be an ideal response?

Mathematics

Rewrite the objective function into a maximization function.Minimizew = 2y1 + 4y2 + 3y3subject to:y1 + y2 ? 6 2y1 + 3y2 + y3 ? 28 y1 + 2y2 + y3 ? 12 y1 ? 0, y2 ? 0, y3 ? 0

A. Maximize z = -2x1 - 3x2 - x3 ? 28 B. Maximize z = -2x1 - 4x2 - 3x3 C. Maximize z = 2x1 + 4x2 - 3x3 D. Maximize z = -x1 - x2 ? 6

Mathematics

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.a = ; r = 

A. a5 = 6, an = 6n/2-1 
B. a5 = 36, an = 6n/2 
C. a5 = 7776, an = 6n 
D. a5 = 1296, an = 6n-1/2 

Mathematics

Solve the problem.y1 = 7x - 8; y2 = -2x + 4Graph y3 = y1 + y2.

What will be an ideal response?

Mathematics