The planet Mercury travels in an elliptical orbit with eccentricity 0.703. Its minimum distance from the Sun is km. If the perihelion distance from a planet to the Sun is a(1 - e) and the aphelion distance is a(1 + e), find the maximum distance (in km) from Mercury to the Sun. Select the correct answer.


Mathematics

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The amount A, in grams, of a certain isotope of uranium remaining after t minutes of decay is given by . ? A:  Make a graph of A versus t over one hour.B:  How much of the isotope is present after 13 minutes?C:  What is the half-life of this isotope?  That is, how long will it take for half of the substance to decay? ? ?Round your answer to two decimal places if necessary. ?

What will be an ideal response?

Mathematics

Simplify.-2

A.
B. 16x6
C.
D.

Mathematics

Solve the problem.The annual depreciation rate r (0 < r < 1) of a car purchased for P dollars and worth A dollars after t years can be modeled by the following formula: Find the depreciation rate of a car that is purchased for $37,000 and is sold 5 years later for $15,000. Express your answer as a percentage, and round the answer to the nearest whole percentage.

A. 17% B. 83% C. -83% D. -17%

Mathematics

Points A, B and C are on circle O, as shown. If AC = 20° and AOB = 120°, find the following.

(a) BC
(b) ?BAC
(c) The area of the shaded region.

Mathematics