The orbit of Hale-Bopp comet, discovered in 1995, is an ellipse with eccentricity 0.995 and one focus at the Sun. The length of its major axis is 366.5 AU. [An astronomical unit (AU) is the mean distance between Earth and the Sun, about 93 million miles.] Find the maximum distance from the comet to the Sun. (The perihelion distance from a planet to the Sun is a(1 - e) and the aphelion distance is a(1 + e).) Find the answer in AU and round to the nearest hundredth.

What will be an ideal response?


365.58AU

Mathematics

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Match to the equivalent expression.

A. y7/8
B. y 
C.
D. y1/2

Mathematics

Find the opposite of the polynomial.a3 - 7a2 + 3a

A. -a3 - 7a2 - 3a B. -a3 + 7a2 - 3a C. a3 - 7a2 + 3a D. a3 + 7a2 - 3a

Mathematics

Find the slope and the y-intercept from the equation of the line. Sketch a graph of the equation.x + y = -6

A. m = -1; y-intercept = -6

B. m = 1; y-intercept = 6

C. m = 1; y-intercept = -6

D. m = -1; y-intercept = 6

Mathematics

Solve the problem.A fossilized leaf contains 25% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14.

A. 25,959 years old B. 34,818 years old C. 2320 years old D. 11,180 years old

Mathematics