Use either the binomial theorem or Pascal's Triangle to expand the binomial.(x + 2y)6
A. x6 + 12x5y + 60x4y2 + 160x3y3 + 240x2y4 + 192xy5 + 64y6
B. x6 + 12x5y + 64x4y2 + 40x3y3 + 64x2y4 + 12xy5 + 2y6
C. x6 + 12x5y + 48x4y2 + 144x3y3 + 192x2y4 + 192xy5 + 64y6
D. x6 + 12x5y + 24x4y2 + 36x3y3 + 24x2y4 + 12x y5 + 2y6
Answer: A
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Solve the problem.Which of the following statements is true?
A. A rectangle with dimensions ? by 
(where ? is the golden ratio) is its own gnomon.
B. A rectangle with dimensions 
by 
is its own gnomon.
C. A rectangle with dimensions 4 by 
is its own gnomon.
D. A rectangle with dimensions 20 by ? (where ? is the golden ratio) is its own gnomon.
E. none of these
Use a graphing calculator to solve the equation. Round your answer to two decimal places.ex = x3
A. {-0.79} B. {2.54} C. {-0.71} D. {1.86}
In a certain college, 33% of the physics majors belong to ethnic minorities. Find the probability of the event from a random sample of 10 students who are physics majors.Exactly 2 belong to an ethnic minority.
A. 0.0028 B. 0.1929 C. 0.2156 D. 0.1990
Find a decimal approximation for the fraction or mixed number, rounded to the given place.2
; Round to the nearest tenth.
A. 2.82 B. 3.8 C. 0.4 D. 2.8