Solve the problem.A comet follows the hyperbolic path described by  -   = 1, where x and y are in millions. If the sun is the focus of the path, how close to the sun is the vertex of the path? 

A. 6.6 million
B. 43 million
C. 5 million
D. 1.6 million


Answer: D

Mathematics

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Solve the problem.The annual precipitation for one city is normally distributed with a mean of 267 inches and a standard deviation of 3.4 inches. In what percentage of years is precipitation in the city between 260.2 inches and ?

A. 97.5% B. 95% C. 68% D. 99.8%

Mathematics

Simplify the expression. Write the answer using positive exponents.

A. y16
B.
C. y12
D.

Mathematics

Calculus can be used to find the slope of the line tangent to a curve. The slope of the tangent to the curve  at  is f'(a). Use f'(x) to find the slope of the tangent to  at the given value of x.f'(x) = 6x3 - 2x2 + 5x - 19 at x = -2

A. -69 B. -85 C. -75 D. 85

Mathematics

Simplify the expression.log3 30 - log3 10

A. 10 B. 3 C. 1 D. 30

Mathematics