Suppose a planet is discovered that revolves around its sun in an elliptical orbit with the sun at one focus. Its perihelion distance (minimum distance from the planet to the sun) is approximately  FIGURE 1.png)
km, and its aphelion distance (maximum distance from the planet to the sun) is approximately  Figure 2.png)
km. Approximate the eccentricity of the planet’s orbit. Round to three decimal places.
a. 1.174
b. 12.5
c. 0.08
d. 0.852
c. 0.08
Mathematics
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Find the curvature of the curve r(t).r(t) = (9 + ln(sec t))i + (7 + t)k, -?/2 < t < ?/2
A. ? = cos t B. ? = -cos t C. ? = 1 - cos t D. ? = sin t
Mathematics
Solve each of the following systems of equations. If the system is inconsistent or dependent, say so.-4x - 5y = -3-12x - 15y = -9
A. (12, 15) B. Inconsistent C. Dependent D. (15, 12)
Mathematics
Solve and graph.|x - 12| > 3
A. {x
-15 < x < -9}, or (-15, -9)
B. {x
x > 15}, or (15, ?)
C. {x
9 < x < 15}, or (9, 15)
D. {x
x < 9 or x > 15}, or (-?, 9) ? (15, ?)
Mathematics
Solve the problem.What is the probability that at least 2 students in a class of 36 have the same birthday?
A. 0.832 B. 0.814 C. 0.799 D. 0.849
Mathematics