Solve the problem.The maximum velocity in kilometers per second of a planet moving in an elliptical orbit can be calculated with the equation vmax = , where a is in kilometers, P is its orbital period in seconds, and e is the eccentricity of the orbit. Calculate the maximum velocity for Planet X if its orbital period is equivalent to 898 Earth days,  and e = 0.6351. Round your answer to the nearest tenth.

A. vmax = 24.5 km per sec
B. vmax = 51.8 km per sec
C. vmax = 2,113,549.2 km per sec
D. vmax = 5.5 km per sec


Answer: A

Mathematics

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Find an equation of the line representing the given data. Write the equation in slope-intercept form, unless otherwise indicated.A sales person observes that if an item is priced at $8, then 7 items are sold; while if an item is priced at $10, 5 items are sold. Let y be the number of items sold for x dollars per item.

A. y = -x - 1 B. y = x - 1 C. y = -x + 15 D. y = x + 15

Mathematics

Construct a truth table to determine when the lightbulb is on. That is, determine which switches must be open and which switches must be closed for the lightbulb to be on. 

A. The lightbulb will be on when p, q, and r are all closed; when p and q are closed and r is open; or when p and r are closed and q is open.


B. The lightbulb will be on when p, q, and r are all closed; when p and q are closed and r is open; when p and r are closed and q is open; or when p is closed and q and r are open.


C. The lightbulb will be on in all cases except when p and r are open and q is closed.


D. The lightbulb will be on when p and r are closed and q is open.


Mathematics

Simplify the expression.84/3

A. 32 B. 128 C. 16 D. 64

Mathematics

If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.f(x) = -17 - 12x4 - 9x + 13x3 - 4x2

A. Degree: -17; leading coefficient: -12 B. Degree: 4; leading coefficient: -17 C. Degree: 4; leading coefficient: -12 D. Not a polynomial function.

Mathematics