Simplify the expression. If the expression contains any variables, assume that they represent positive real numbers. Write your answer with only positive exponents. -2

A.
B.
C.
D.


Answer: D

Mathematics

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Use a ruler, protractor, and compass to construct, when possible, a triangle with the stated properties. Determine whether one triangle can be constructed, two or more noncongruent triangles can be constructed, or no triangle can be constructed.A triangle with angles of 30° and 62°.

A. Exactly one triangle can be constructed. B. Two or more noncongruent triangles can be constructed. C. No triangle can be constructed.

Mathematics

Find A-1 without a calculator.A = 

A. A-1 = 
B. A-1 = 
C. A-1 = 

Mathematics

Solve the problem.In one study the maximum heart rates of conditioned athletes were examined. A group of athletes was exercised to exhaustion. Let x represent an athlete's heart rate five seconds after stopping exercise and y represent an athlete's heart rate ten seconds after stopping exercise. It was found that the maximum heart rate H for these athletes satisfied the following two equations.  H = 0.491 x + 0.468 y + 11.2  H = -0.981 x + 1.872y + 26.4If an athlete had a maximum heart rate of H = 169, determine the value of y graphically to the tenths place.

A. y = 159.5 B. y = 163.6 C. y = 163.9 D. y = 163.2

Mathematics

Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?

A. $180,000 B. $300,000 C. $270,000 D. $239,400

Mathematics