Solve the problem.How many liters of a 30% alcohol solution must be mixed with 80 liters of a 90% solution to get a 50% solution?

A. 160 L
B. 24 L
C. 16 L
D. 240 L


Answer: A

Mathematics

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Find all the first order partial derivatives for the following function.f(x, y, z) = x2y + y2z + xz2

A.  = 2xy + z2 = x2 + 2yz;  = y2 + 2xz
B.  = 2xy + z2 = x2 + yz;  = y2 + xz
C.  = 2y + z2 = x2 + 2z;  = y2 + 2x
D.  = 2xy;  = x2 + 2yz;  = y2 + 2xz

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Evaluate the logarithm.log8(32)

A.
B.
C.
D.

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Perform the operation. Write the answer as a fraction in lowest terms. +  

A.
B.
C. 5
D.

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Use substitution to factor the trinomial.8x6 + 6x3 - 9

A. 8(x3 - 3)(x3 + 3) B. (2x3 + 3)(4x3 - 3) C. (4x3 + 3)(2x3 - 3) D. (2x3 + 1)(4x3 - 9)

Mathematics