Factor completely. State that the polynomial is prime if it cannot be factored.169k2 - 64m2
A. (13k + 8m)(13k - 8m)
B. prime
C. (13k + 8m)2
D. (13k - 8m)2
Answer: A
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Solve the problem.If f(x, y) = (4,000ey)/(1 + /2) represents the population density of a planar region on Earth, where x and y are measured in miles, find the number of people within the rectangle -9 ? x ? 9 and -4 ? y ? 0.
A. 8,000(1 - e-4) ln ? 13,388
B. 4,000(1 - e-4) ln ? 6,694
C. 8,000(1 - e-4) ln 5 ? 18,832
D. 16,000(1 - e-4) ln ? 26,776
Solve the problem.Find the point on the plane that is nearest the origin.
A. (-2, 8, 2) B. (4, 4, 0) C. (2, 4, 0) D. (2, 4, -2)
Solve.A certain amount of money saved for 1 year at a certain annual interest rate (simple interest) yielded $13.80 in interest. If we had added $23 to the principal and reduced the interest rate by 2 percentage point(s), the interest would have been the same. Find the principal and the rate.
A. $2.32, 17% B. $14.00, 10% C. $14.00, 12% D. $115.00, 12%
Find the gradient field F of the function f.f(x, y, z) = 8
A. F = 87i +
j + 8
k
B. F = 87i +
j + 8
k
C. F = 87i +
j - 8
k
D. F = i +
j - 8
k