Solve the problem.How much pure acid should be mixed with 9 gallons of a 50% acid solution in order to get an 80% acid solution?

A. 13.5 gal
B. 36 gal
C. 4.5 gal
D. 22.5 gal


Answer: A

Mathematics

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Use the graph to evaluate the expression.Find (f ? g)(4) and (g ? f)(3).

A. (f ? g)(4) = 3; (g ? f)(3) = 0 B. (f ? g)(4) = 35; (g ? f)(3) = 0 C. (f ? g)(4) = 29; (g ? f)(3) = -24 D. (f ? g)(4) = 35; (g ? f)(3) = 18

Mathematics

Solve the problem.A sail on a sailboat is supported by a mast and a boom. The length and direction of the mast and boom can be described by the vectors m = i - 4j + 5k and b = -2i + 3j + k, respectively, where the components are in meters. Find the angle (to the nearest tenth of a degree) between the mast and boom.

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

Mathematics

Evaluate and round the answer to two decimal places.

A. -0.37 B. 5.18 C. -4.14 D. -4.15 E. -0.97

Mathematics

Find all cube roots of the complex number. Leave answers in trigonometric form.3 + 3i

A.  cis 20°,  cis 140°,  cis 260°
B.  cis 20°,  cis 140°,  cis 260°
C.  cis 30°,  cis 150°,  cis 270°
D.  cis 20°,  cis 140°,  cis 260°

Mathematics