Use the Binomial Theorem to expand the binomial and express the result in simplified form.(x - 8)5
A. x5 - 40x4 + 1280x3 - 10,240x2 + 20,480x - 32,768
B. x5 - 40x4 + 640x3 - 5120x2 + 20,480x - 32,768
C. x5 - 40x4 + 1280x3 - 10,240x2 + 20,480x - 8
D. x5 - 40x4 + 640x3 - 5120x2 + 20,480x - 8
Answer: B
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Find the indicated maximum or minimum values by the linear programming method. The constraints are shown below the objective function.Minimum C:C = 9x + 3yy ? 1x + y ? 10x + 2y ? 105x + y ? 10
A.
B.
C. 84
D. 30
Using Green's Theorem, calculate the area of the indicated region.The astroid r(t) = (10 cos 3 t)i + (10 sin3 t)j, 0 ? t ? 2?
A. 75?
B. ?
C. 2?
D. ?
Write the statement in symbols, using x as the variable, and find the solution by guessing or by using trial and error. All solutions come from the list of integers between -12 and 12 inclusive.6 less than a number is 3.
A. 6 - x = 3; 3 B. x + 3 = 6; 3 C. x + 6 = 3; -3 D. x - 6 = 3; 9
Solve.In 1997, Little City Productions produced and sold 2939 thousand of its Little City Collectible Bears. In 2003, the number of these bears produced and sold had dropped to 461 thousand. Find the change in the number of bears produced from 1997 to 2003, and find the average change per year in the number of bears produced over this period.
A. change: 2478 thousand bears average change: 413 thousand bears B. change: -2478 thousand bears average change: 413 thousand bears C. change: -2478 thousand bears average change: -413 thousand bears D. change: 2478 thousand bears average change: -413 thousand bears