Find the equation of variation if the following is true.Suppose that y varies directly as z and y = 10 when z = 30.

A. y = -2z
B. y = - z
C. y = 3z
D. y = z


Answer: D

Mathematics

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Evaluate.Find (f/g)(4) given f(x) = -8x + 2 and g(x) = 2x2 + 2.

A. - 
B. - 
C. - 
D. - 1

Mathematics

Solve the problem.In a networking marketing plan for a company, each distributor is expected to recruit 3 new distributors. Jack was the first distributor hired by the company, so he is considered a level 1 distributor. The 3 people he recruits are considered level 2 distributors. The people recruited by the level 2 distributors are considered level 3 distributors, and so on. Write a function that models the number of distributors D at each level L. How many distributors would there be at the fifth level?

What will be an ideal response?

Mathematics

Find z1z2. Express the answer in standard form.z1 = 4(cos 60° + i sin 60°)z2 = 6(cos 330° + i sin 330°)

A. -12 + 12i
B. 24i
C. 24
D. 12 + 12i

Mathematics

Solve the problem.A group reserves a room in a restaurant for an engagement party. The buffet dinner normally costs $32 per person. A group discount reduces the price by $0.50 for each person who attends; the more dinners sold, the lower the per-person price. The maximum capacity of the room is 140 people. What size of party would maximize the restaurant's revenue?

A. 140 B. 130 C. 32 D. 64

Mathematics