Identify the quadrant for the angle ? satisfying the following conditions.tan ? > 0 and sin ? < 0

A. Quadrant III
B. Quadrant IV
C. Quadrant I
D. Quadrant II


Answer: A

Mathematics

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Determine whether the relation is a function.{(-7, -3), (-7, 8), (2, -1), (5, -9), (9, 2)}

A. It is a function.  B. It is not a function.

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Provide an appropriate response.Assume that log 3 = 0.4771. Determine the value of log 27.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the standard equation of the ellipse shown in the figure. Identify the coordinates of the vertices, endpoints of the minor axis, and the foci.

A.  +  = 1; V(±4, 0); U(0, ±3); F(±, 0)
B.  +  = 1; V(0, ±4); U(±3, 0); F(±4, 0)
C.  +  = 1; V(0, ±4); U(±3, 0); F(0, ±)
D.  +  = 1; V(±3, 0); U(0, ±3); F(±5, 0)

Mathematics

Use mathematical induction to prove the following.1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + n(n + 1) = 

What will be an ideal response?

Mathematics