Write the prime factorization of the number.177
A. 3 × 57
B. 32
C. 32 × 59
D. 3 × 59
Answer: D
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Solve the problem.A domed ceiling is a parabolic surface. For the best lighting on the floor, a light source is to be placed at the focus of the surface. If 2 m down from the top of the dome the ceiling is 28 m wide, find the best location for the light source.
A. 98 m down from the top B. 73.5 m down from the top C. 49 m down from the top D. 24.5 m down from the top
Solve the problem.The logistic growth function f(t) = 
describes the population of a species of butterflies 
after they are introduced to a non-threatening habitat. What is the limiting size of the butterfly population that the habitat will sustain?
A. 5 butterflies B. 440 butterflies C. 880 butterflies D. 70 butterflies
Solve the problem. The growth of a population is described by the logistic differential equation 
= 0.005P(300 - P) where t is measured in years.Find the particular solution P, if P = 12 when t = 0.
A. P = 
B. P = 
C. P = 
D. P = 
Write the equation in standard form of the line through the given points.(-7, -3) and (-7, 3)
A. x = -7 B. y = -7 C. x + 7y = 0 D. -7x - y = 0