Use the Binomial Theorem to expand the binomial.(x + 3)6
A. x6 + 18x5 + 36x4 + 54x3 + 36x2 + 18x + 3
B. x6 + 18x5 + 108x4 + 486x3 + 972x2 + 1458x + 729
C. x6 + 18x5 + 729x4 + 60x3 + 729x2 + 18x + 3
D. x6 + 18x5 + 135x4 + 540x3 + 1215x2 + 1458x + 729
Answer: D
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Write the first five terms of the geometric sequence.a1 = -5, r = -
A. -5, 45, -405, 3645, -32,805
B. -5, - , -
, -
, -
C. -5, -45, -405, -3645, -32,805
D. -5, , -
,
, -
Evaluate to four decimal places using a calculator.e-0.38
A. 0.7558 B. 0.6839 C. -1.0329 D. 1.4623
Express as a single logarithm and, if possible, simplify. logax + 4 loga y - 2 loga x
A. loga x2 y4
B. loga y4
C. loga x4 y4
D. loga
Provide an appropriate response.In a raffle 1000 tickets are being sold at $1.00 each. The first prize is $100, and there are 3 second prizes fo $50 each. By how much does the price of a ticket exceed its expected value?
A. $1.00 B. $0.75 C. $1.75 D. $50