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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Solve the inequality and write the solution set using interval notation.a2 - 3a + 6 < 0

A. (-6, 6) B. (-?, ?) C. (-?, 3) ? (9, ?) D. No solution, or ?

Mathematics

Evaluate the expression.



a.
b.
c.
d.

Mathematics

The following is the slope of line representing daily revenue y in term of time x in day. Use the slope to interpret any change in daily revenues for a one-day increase in time.The line has a slope of m = 500. ?

A. Revenues increasing 500 units/day
B. No change in revenues
C. Revenues decreasing 500 units/day
D. None of the above

Mathematics

Clear fractions then solve by substitution.x + y = y - 3x - y = 5x - y

A. {(0, 4)} B. {(1, 4)} C. {(5, 0)} D. ?

Mathematics