Solve the problem.The population size of a culture of bacteria doubles every day such that its size is modeled by the sequence  where n is the number of the day just beginning. Find the size of the culture at the beginning of the third day and the size of the culture originally.

A. 280 bacteria;  70 bacteria originally
B. 280 bacteria;  35 bacteria originally
C. 560 bacteria;  70 bacteria originally
D. 560 bacteria;  140 bacteria originally


Answer: A

Mathematics

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Find the gradient field F of the function f.f(x, y, z) = (x7y2 - y5z3)e-z2

A. F = 7x6y2e-z2i + (2x7y - 5y4z3)e-z2j + (3 - 2z2)y5z2e-z2k B. F = 7x6y2e-z2i + (2x7y - 5y4z3)e-z2j + y2ze- z2[y3z(2z2 - 3) - 2x7]k C. F = 7x6i + (5y4 - 2y)j + 2z4e-z2k D. F = 7x6y2i + (5y4z3 - 2x7y)j + (2z2 - 3)y5z2k

Mathematics

Consider the sets







Which of the sets are equivalent?

What will be an ideal response?

Mathematics

Use the Remainder Theorem to find the remainder.f(x) = x2 + 5x - 19 is divided by x + 8

A. 5 B. -8 C. 3 D. 0

Mathematics

Solve the SSA triangle. Indicate whether the given measurements result in no triangle, one triangle, or two triangles. Solve the resulting triangle. Round angle measures to the nearest degree and lengths to the nearest tenth when necessary.B = 38°, b = 9, a = 28

A. A = 37°, C = 106°, c = 38.5 B. A = 36°, C = 105°, c = 37 C. A = 34°, C = 107°, c = 34 D. No triangle exists.

Mathematics