Find the sum of the first n terms of the following arithmetic sequence:8, 17, 26, ... ; n = 25 

A. 2,900
B. 2,988
C. 2,854
D. 2,839


Answer: A

Mathematics

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Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.y = 6x, y = 12x, y = 6

A. 18? B. 36? C. 6? D. 12?

Mathematics

Factor the polynomial completely. If the polynomial cannot be factored, say it is prime.12x3 + 7x2 - 12x

A. x(3x - 3)(4x + 4) B. x2(4x - 3)(3x + 4) C. (4x2 - 3)(3x + 4) D. x(4x - 3)(3x + 4)

Mathematics

Solve the problem.A rectangular patio has dimensions 10 feet by 15 feet. The patio is surrounded by a border with a uniform width of 3 feet. Find the area of the border.

A. 84 ft2 B. 186 ft2 C. 114 ft2 D. 162 ft2

Mathematics

Solve the problem.A heavy-duty shock absorber is compressed 1 cm from its equilibrium position by a mass of 500 kg. How much work is required to compress the shock absorber 4 cm from its equilibrium position? (A mass of 500 kg exerts a force (in N) of 500g, where g ? 9.8 m/s2.)

A. 392 J B. 40 J C. 39,200 J D. 4000 J

Mathematics