Solve the problem.Given that the polar equation r =  models the orbits of the planets, estimate the smallest possible distance between Earth, for which  and  and Venus, for which  and 

A. About 2 astronomical units
B. Zero astronomical units
C. About 0.4 astronomical units
D. About 0.2 astronomical units


Answer: D

Mathematics

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Find the prime factorization of the number.126

A. 2 ? 2 ? 3 ? 3 ? 7 B. 2 ? 3 ? 3 ? 7 C. 2 ? 3 ? 7 D. 14 ? 3 ? 3

Mathematics

Evaluate the integral.

A.  sin-1  x + C
B.  sec-1   + C
C.  sec-1   + C
D.  sec-1   + C

Mathematics

Find the domain of the composite function f?g.f(x) = x + 2, g(x) = 

A. (-?, -5) ? (-5, -2) ? (-2, ?) B. (-?, ?) C. (-?, -7) ? (-7, ?) D. (-?, -5) ? (-5, ?)

Mathematics

Solve the problem.The impedance Z, in ohms, of a circuit element is defined as the ratio of the phasor voltage V, in volts, across the element to the phasor current I, in amperes, through the element. That is, Z = . If the voltage across a circuit element is  and the current through the element is  what is the impedance?

A.  ohms
B.  ohms
C.  + i ohms
D.  + i ohms

Mathematics