Solve the problem.A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds against the cube showing a 4?

A. 6:1
B. 1:5
C. 5:6
D. 5:1


Answer: D

Mathematics

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Calculate the surface area of the given surface.The surface f(x,y) = x2 + y2, -1 ? x, y ? 2. (Hint: Do the first integral by substitution or using a formula from the Table of Integrals. Use numerical integration to do the outer integral.)

A. 35.5222 B. 18.4734 C. 25.3332 D. 29.3516

Mathematics

Find the eccentricity of the ellipse.9x2 + 100y2 = 900

A.
B.
C.
D.

Mathematics

Factor, if possible.49y4 - 4

A. Prime polynomial B. (7y2 + 2)(7y2 - 2) C. (7y2 + 2)2 D. (7y2 - 2)2

Mathematics

Find dy/dx by implicit differentiation. If applicable, express the result in terms of x and y.-7x + 8y = 1

A. x
B. 8
C.
D.

Mathematics