Some comets, such as Hailey's Comet, are a permanent part of the solar system, traveling in elliptical orbits around the sun. Others pass through the solar system only once, following a hyperbolic path with the sun at a focus. The figure shows the path of such a comet. Find an equation for the path, assuming that the closest the comet comes to the sun is  mi, and that the path the comet was taking before it neared the solar system is at a right angle to the path it continues on after leaving the solar

system.

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A.
B.
C.
D.
E.


Answer: C

Mathematics

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Give an appropriate response.The following table shows the deaths due to the same disease in two cities. Compute the death rates in each city for those with health insurance, those without health insurance, and all residents. Explain the apparent inconsistency in these results.    

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Use the compound interest formula to determine the interest earned in the given period.P = $5950 at 10% compounded quarterly for 6 years

A. $16,711.92 B. $10,761.92 C. $52,655.91 D. $4811.92

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Write an algebraic expression for the specified quantity.An auto repair shop charged a customer $307.25 to repair a car. The bill listed $67.75 for parts and the remainder for labor. Let x = the number of hours of labor it took to repair the automobile. Write an algebraic expression in x for the labor charge per hour.

A.
B.
C.
D.

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Solve the problem.If f(x) = x2 and g(x) = -1 + 5x, find (f ?g)(x) and find the domain of (f ? g)(x).

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Mathematics