Use the binomial theorem to expand the expression.(4x + 3)3

A. 64x3 + 144x2 + 108x + 27
B. 16x2 + 24x + 9
C. 16x6 + 12x3 + 729
D. 64x3 + 144x2 + 144x + 27


Answer: A

Mathematics

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Solve the problem.A bakery plans to market a mixed assortment of its two most popular cookies: Chocolate Chip and Toffee Chunk. Their marketing analyst proposes that the new assortment be constrained by the inequality  where C is the number of Chocolate Chip cookies and T is the number of Toffee Chunk cookies. Their sales analyst suggests in order to offer a reasonably priced product the assortment should be constrained by the inequality  The number of each type of cookie cannot be negative, so 

alt="" style="vertical-align: -4.0px;" /> and  Graph the region satisfying all the requirements for the assortment using C as the horizontal axis and T as the vertical axis. Does the combination of 1 Chocolate Chip cookies and 7 Toffee Chunk cookies satisfy all of the requirements?

A.
; No
B.
; No
C.
 ; Yes
D.
; Yes

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Solve the problem.Brad invests $1500 in an account paying 3.5% compounded monthly. How much is in the account after 7 months?

A. $1530.41 B. $1908.42 C. $1502.55 D. $1530.89

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Solve the problem.The costs of one-way flights between several U.S. cities are listed below:Using the Nearest Neighbor algorithm, estimate the minimum cost for a trip that starts in Des Moines, travels to all the other cities once, and then returns to Des Moines.

A. $1067 B. $811 C. $756 D. $715

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? = central angle of a circle, r = radius of the circle, s = length of the intercepted arc,  speed,  speed, and t = time. Find the missing quantity. Give an exact answer unless otherwise indicated.r = 4 meters, ? =  radians, s = ?

A.  m
B. 36? m
C.  m
D.  m

Mathematics