Solve the problem.If a graph is symmetric with respect to the origin and it contains the point (-4, 7), which of the following points is also on the graph?

A. (7, -4)
B. (-4, -7)
C. (4, 7)
D. (4, -7)


Answer: D

Mathematics

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Calculate the arc length of the indicated portion of the curve r(t).r(t) = t3/2i  + (5t sin t)j + (5t cos t)k ; -4 ? t ? 6

A. 150 B. 270 C. 140 D. 100

Mathematics

Solve the problem.In a study of 135 women, roughly half took estrogen as well as calcium and vitamin D supplements and received regular dental checkups. The remaining women received the supplements and the checkups but substituted a sugar pill for the estrogen. Those who received the estrogen had an average 3.6 percent gain in bone density compared to a 0.2 percent bone density improvement in those taking the sugar pill. This study can best be described as

A. a survey using quota sampling. B. a controlled placebo experiment. C. a census. D. a survey using simple random sampling. E. the placebo effect.

Mathematics

Find the exact value of the expression.

A.
B.
C.
D. 2

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Find an equivalent fraction with the given denominator. = 

A.
B.
C.
D.

Mathematics