Write a formula for the general term (the nth term) of the geometric sequence.- , - , . . .

A. an = -  n - 1
B. an = n - 1 + 
C. an = -  - (n - 1)
D. an = -  n - 1


Answer: A

Mathematics

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Solve.From a 40-inch by 40-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x. Give the function and state its domain.

A. V = 4x3 - 160x2 + 1600x: x < 40 B. V = 4x3 - 160x2 + 1600x: 0 < x < 20 C. V = 2x3 - 120x2 + 40x: 0 < x < 20 D. V = 2x3 - 120x2 + 1600x: x >0

Mathematics

Find the simplest form of a second-order homogeneous linear differential equation that has the given solution.y = c1 cos 2x + c2 sin 2x

A. D2y + 4Dy + 4y = 0 B. D2y + 4y = 0 C. D2y - 4y = 0 D. D2y - 4Dy + 4y = 0

Mathematics

Determine whether the sentence is a statement.Does Rose always act like that in public?

A. statement B. not a statement

Mathematics

Carli and Dale want to divide fairly the chocolate-strawberry cake shown below. The total cost of the cake was $18.00. Carli values strawberry and banana equally, but values chocolate twice as much as either of these put together. Dale values chocolate three times as much as he values strawberry. Further, he values strawberry twice as much as he values banana. In Carli's eyes, the strawberry quarter of the cake is worth

A. $3.50 B. $6.00 C. $4.00 D. $3.00 E. none of these

Mathematics