Find the term indicated in the expansion.(4x + 2y)10; 7th term

A. 3,440,640x4y6
B. 1,720,320x4y7
C. 860,160x6y4
D. 1,720,320x6y4


Answer: A

Mathematics

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Solve the problem.When an object weighing 5 pounds is attached to the lowest point P of a spring that hangs vertically, the spring is extended 6 inches. The 5-pound weight is replaced by a 3-pound weight, and the system is allowed to come to equilibrium. The 3-pound weight is then pulled downward another 15 feet and then released. Find the equation of motion. Neglect friction.

A. y = 15 cos 10.328t B. y = 15 cos 1.826t C. y = 15 cos 106.667t D. y = 15 cos 2.981t

Mathematics

Factor.y3 - 216

A. (y + 6)(y2 - 6y - 36) B. (y - 6)3 C. (y - 6)(y2 + 6y + 36) D. (y - 6)(y + 6)2

Mathematics

Solve the problem.A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 4 seconds, the gauge on the bottle indicates that it contains 11 ounces of water. After it has been filling for 11 seconds, the gauge indicates the bottle contains 25 ounces of water. Let f(x) be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear function that models the amount of water in the bottle in terms of x.

A. f(x) = -2x + 19
B. f(x) = x + 9
C. f(x) = 2x + 3
D. f(x) = 2x + 14

Mathematics

Simplify the complex fraction.

A.
B.
C.
D.

Mathematics