Use Pascal's triangle to expand the binomial.(4x - 2y)3
A. 16x3y - 8x2y2 + 4xy3
B. 16x3y - 16x2y2 + 4xy3
C. 64x3 - 32x2y + 16xy2 - 8y3
D. 64x3 - 96x2y + 48xy2 - 8y3
Answer: D
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Determine which of the numbers below is a possible order of magnitude estimate of the quantity described.The total number of gallons of gasoline that will be used by American drivers in a year.
A. One trillion B. One hundred billion C. Ten trillion D. Ten billion
Provide an appropriate response.A sequence of rational numbers {rn} is defined by r1 = , and if
then
Find
Hint: Compute the square of several terms of the sequence on a calculator.
A.
B.
C.
D. 2
Solve the problem.For what values of x can we replace cos x by with an error of magnitude no greater than
A. -0.376 ? x ? 0.376 B. -0.311 ? x ? 0.311 C. -0.589 ? x ? 0.589 D. -0.493 ? x ? 0.493
Solve the problem.Given the following voter profile, determine which candidate (if any) is a Condorcet Candidate and who will be selected using the Plurality Method. Does the Plurality Method violate the Condorcet criterion for the voter profile?
A. a, b; yes B. b, a; yes C. a, a; no D. b, b; no