Simplify the expression. Express the answer so that only positive exponents occur. Assume that all variables are positive.(9x1/3 ? y1/3)2
A. 81x1/6y1/6
B. 81x2/3y2/3
C. 81x2y2
D. 81x1/9y1/9
Answer: B
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Find the length of the curve with the given vector equation.r(t) = (6 + 2t3)i + (2t3 - 5)j + (4 - t3)k, 1 ? t ? 3
A. 252 B. 84 C. 78 D. 234
Solve the problem.A law firm has two senior partners (A and B) and three associate partners (C, D, and E). In order for any decision to be made concerning the practice, both senior partners and at least two associate partners must agree. Compute the Banzhaf power index for each voter. If another associate partner, F, is added, compute the new Banzhaf power index for each voter assuming that two senior partners and two associates must agree.
A. Prior: A and B have index of 
; C, D, and E have index of 
.
New: A and B have index of 
; C, D, E, and F have index of 
.
B. Prior: A and B have index of 
; C has index of 
; D and E have index of 
.
New: A and B have index of 
; C, D, E, and F have index of 
.
C. Prior: A and B have index of 
; C, D, and E have index of 
.
New: A, B, and C have index of 
; D, E, and F have index of 
.
D. Prior: A and B have index of 
; C has index of 
; D and E have index of 
.
New: A, B, and C have index of 
; D, E, and F have index of 
.
Find the probability.A spinner has regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3?
A. 
B. 17
C. 
D. 
Factor the expression completely, if possible.108x3 + 4y3
A. 4(3x - y)(9x2 + 3xy + y2) B. 4(3x + y)(9x2 - 3xy + y2) C. 4(3x - y)(9x2 + y2) D. (3x - 4y)(36x2 + 3y + y2)