Find the mass of the surface S having the given mass density. S is the hemisphere x + y + z = 64, z ? 0; the density at a point P on S is equal to the distance between P and the xy-plane. Select the correct answer.

a. 64?
b. 512?
c. 64
d. 8?


b. 512?

Mathematics

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Solve.A local pond can only hold up to 36 geese. Seven geese are introduced into the pond. Assume that the rate of growth of the population is   = (0.0012)(36 - P)Pwhere t is time in weeks.How long will it take for the goose population to be 10?

A. 10.78 weeks B. 55.83 weeks C. 3.25 weeks D. 49.40 weeks

Mathematics

Solve the problem.The enrollment at a community college is 49% males. If the total enrollment is 1940 students, how many females are enrolled?

A. 989 B. 951 C. 914 D. 964

Mathematics

Simplify.i-59

A. -i B. 1 C. -1 D. i

Mathematics

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime.6x2 - 26x - 20

A. (6x + 4)(x - 5) B. 2(3x + 2)(x - 5) C. 2(3x - 2)(x + 5) D. prime

Mathematics