Solve the problem. What are the odds of drawing an even number from these cards?

A. 2 to 3
B. 2 to 5
C. 5 to 2
D. 3 to 2


Answer: A

Mathematics

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Find all the first order partial derivatives for the following function.f(x, y) = sin2 (4xy2 - y)

A. fx(x, y) = 2 sin (4xy2 - y) cos (4xy2 - y); fy(x, y) = 2 sin(4xy2 - y) cos(4xy2 - y) B. fx(x, y) = 2 sin (4xy2 - y) cos (4xy2 - y); fy(x, y) = (16x - 2) sin (4xy2 - y) cos (4xy2 - y) C. fx(x, y) = 8y2 sin (4xy2 - y) cos (4xy2 - y); fy(x, y) = 2 sin (4xy2 - y) cos (4xy2 - y) D. fx(x, y) = 8y2 sin (4xy2 - y) cos (4xy2 - y); fy(x, y) = (16xy - 2) sin (4xy2 - y) cos (4xy2 - y)

Mathematics

Use a truth table to determine whether the two statements are equivalent.q ? p and ~p ? ~q

A. Yes B. No

Mathematics

Solve the problem.In one area, the lowest angle of elevation of the sun in winter is  Find the minimum distance x that a plant needing full sun can be placed from a fence that is 5 feet high. Round your answer to the tenths place when necessary.

A. 9.2 ft B. 12.4 ft C. 9 ft D. 8.6 ft

Mathematics

Solve the equation.x = 216

A. {3}
B.
C. {-3}
D.

Mathematics