Find an equation of a parabola satisfying the given conditions.Vertex (0, 0), focus (0, 7)
A. x2 = y
B. x2 = 7y
C. y2 = 28x
D. x2 = 28y
Answer: D
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Solve the problem.Given that the polar equation r = models the orbits of the planets, compare Earth's orbit relative to the sun with that of Pluto and describe the difference. For Earth,
and
For Pluto,
and
A. The orbits of Earth and Pluto are both circular, with the sun positioned at their centers, but the diameter of Pluto's orbit is about 40 times that of Earth. B. Earth circles the sun, but Pluto does not. C. Earth's orbit closely approximates a circle with the sun positioned at its center. Pluto's orbit is more elliptical with the sun positioned on its long axis about 10 astronomical units away from the center. D. Pluto's orbit closely approximates a circle with the sun positioned at its center. Earth's orbit is more elliptical with the sun positioned on its long axis about 10 astronomical units away from the center.
Find the average rate of change for the function over the given interval.y = -3x2 - x between x = 5 and x = 6
A.
B. -34
C. -2
D. -
Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given.a = 5; d = 3an = ?; a16 = ?
A. an = 2 - 3n; a16 = 50 B. an = 2 + 3n; a16 = 26 C. an = 5 + 3n; a16 = 50 D. an = 2 + 3n; a16 = 50
Solve the problem.The intelligence quotient in psychology is given by Q(m, c) = 100, where m is an individual's mental age and c is the individual's chronological, or actual, age. Find
.
A.
B. 100m
C. -
D. -