Rationalize the denominator. Assume that all variables represent positive numbers.

A.
B.
C.
D.


Answer: D

Mathematics

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Sketch the surface z = f(x,y).f(x, y) = 3 - x2

A.

B.

C.

D.

Mathematics

Solve the problem.For the month ending June 30, TriCounty Nursery has net sales of , cost of goods sold of  and operating expenses of  Find the gross profit and net income.

A. gross profit: $49,900; net income: $50,000 B. gross profit: $59,000; net income: $100,000 C. gross profit: $100,000; net income: $50,000 D. gross profit: $100,000; net income: $59,000

Mathematics

Refer to the following recipe to first estimate the answer and then use multiplication or division to find the exact answer. Simplify. Old Grandma's Fork Cookies 1 cups brown sugar 1 cups white sugar 1 cups shortening 1 pinch salt 3 eggs 2 tsp soda 2

/> tsp cream of tartar 1 tsp vanillaCream sugars and shortening. Beat in remaining ingredients. Add flour to stiffen like regular cookie dough. Roll into balls, then flatten with a fork. Cook until brown.Find the amount of cream of tartar needed if you take  times the recipe.

A. Estimate: 6 tsp
Exact: 3
 tsp
B. Estimate: 3 tsp
Exact: 6 tsp

C. Estimate: 4 tsp
Exact: 3
 tsp
D. Estimate: 4 tsp
Exact: 3
 tsp

Mathematics

Refer to the weighted voting system  and the Banzhaf definition of power. (The five players will be called P1, P2, P3, P4, and P5.)The number of coalitions having exactly four players is

A. 20 B. 5 C. 1 D. 10 E. none of these

Mathematics