Factor the perfect square trinomial completely.64m2 + 96mn + 36n2
A. (16m - 4n)2
B. (16m + 12n)2
C. 4(4m + 3n)2
D. 4(4m - 3n)2
Answer: C
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Planets travel in elliptical orbits with the sun at one focus. Assume that the focus is at the pole, the major axis lies on the polar axis, and the length of the major axis is 2a (see figure). The polar equation of the orbit of a planet is given below, where e is the eccentricity. If miles and
find the perihelion distance (the minimum distance from the sun to the planet). Round your answer to the nearest mile.
A) 86,596,392 miles
B) 91,219,608 miles
C) 8,659,639 miles
D) 9,121,961 miles
E) 865,963,920 miles
Solve the problem. Round your answer to the nearest cent.If inflation is 5% a year compounded annually, what will it cost in 17 years to buy a house currently valued at $75,000?
A. $171,901.37 B. $180,496.44 C. $163,715.59 D. $114,121.37
Solve the problem.A balloon used in surgical procedures is cylindrical in shape. As it expands outward, assume that the length remains a constant 90.0 mm. Find the rate of change of surface area with respect to radius when the radius is 0.070 mm. (Answer can be left in terms of ?).
A. 90.28? mm2/mm B. 90.14? mm2/mm C. 180.28? mm2/mm D. 180.0? mm2/mm
Assume that, at a certain college, 33% of all physics majors belong to ethnic minorities. Given a random sample of 10 physics majors, find the probability of the indicated event. Round your answer as appropriate.No more than 6 belong to an ethnic minority.
A. .9815 B. .9846 C. .913 D. .0547