Use the Binomial Theorem to expand the binomial.(2x - 2y)3
A. 4x3y - 8x2y2 + 4xy3
B. 8x3 - 24x2y + 24xy2 - 8y3
C. 4x3y - 4x2y2 + 4xy3
D. 8x3 - 8x2y + 8xy2 - 8y3
Answer: B
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Solve the problem.A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is 
. What is the cart's maximum speed? When is the cart moving that fast? What is the magnitude of of the acceleration then?
A. ? ? 3.14 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2 B. 10? ? 31.42 cm/sec; t = 0 sec, 1 sec, 2 sec, 3 sec; acceleration is 0 cm/sec2 C. 10? ? 31.42 cm/sec; t = 0.5 sec, 2.5 sec; acceleration is 1 cm/sec2 D. 10? ? 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2
Find the limit, if it exists.
A. Does not exist
B. - 
C. 
D. 0
Provide an appropriate response.In order to add 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12, Mary wrote the sum as (5 + 12) + (6 + 11) + (7 + 10) + (8 + 9) = 17 + 17 + 17 + 17 = 68. What properties of addition justify Mary's procedure?
What will be an ideal response?
Add.13 + (-13) + 11 + (-14) + 20 + (-7)
A. 10 B. -78 C. 14 D. -12