Solve using a system of linear equations in three variables.The Family Arts Center charges $23 for adults, $18 for senior citizens, and $9 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was  for 874 tickets sold. There were 42 more children than adults. How many children attended?

A. 240 children
B. 458 children
C. 328 children
D. 296 children


Answer: B

Mathematics

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Evaluate the integral.

A. 10i + 6 ln 2j + (1 + )k
B. 10i + 6 ln 2j + (1 - )k
C. -6i + 6 ln 2j + (1 - )k
D. 10i + 6 ln 2j + k

Mathematics

Find the length and direction (when defined) of u × v.u = 4i + 2j + 8k, v = -i - 2j - 2k

A. 180; i +  j + k
B. 6i - k
C. 180; i + k
D. 6i + k

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Set up, but do not evaluate, an integral that represents the length of the parametric curve.

Mathematics

Sketch the graph of the rational function.f(x) = 

A.

B.

C.

D.

Mathematics