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
Mathematics
Evaluate the logarithm.log8(32)
A.
B.
C.
D.
Mathematics
Perform the operation. Write the answer as a fraction in lowest terms. +
A.
B.
C. 5
D.
Mathematics
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