Solve the problem.There were 430 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $600. How many adults and how many children attended?
A. 170 adults, 260 children
B. 150 adults, 280 children
C. 130 adults, 300 children
D. 260 adults, 170 children
Answer: A
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Provide an appropriate response.If a body of mass m falling from rest under the action of gravity encounters an air resistance proportional to four times the square root of velocity, then the body's velocity t seconds into the fall satisfies the equation: m
= mg - 4kv2where k is a constant that depends on the body's aerodynamic properties and the density of the air.Determine the equilibrium, velocity curve, and the terminal velocity for a 170 lb skydiver (mg = 170) with k = 0.005.
A. Equilibrium: v = 
vterminal = 92.20 ft/sec
B. Equilibrium: v = 
vterminal = 92.20 ft/sec
C. Equilibrium: v = 
vterminal = 92.20 ft/sec
D. Equilibrium: v = 
vterminal = 92.20 ft/sec
Determine the most probable next term in the sequence.1, - 
, 
, - 
, 
A. 
B. - 
C. - 
D. 
Find the x- and y-intercepts of the graph of the equation. y = x2 + 15x + 54
A. x-intercepts: 9, 6; y-intercept: 54 B. x-intercept: 54; y-intercepts: 9, 6 C. x-intercept: 54; y-intercepts: -9, -6 D. x-intercepts: -9, -6; y-intercept: 54
Find the equation of the parabola which has the given vertex V, which passes through the given point P, and which has the specified axis of symmetry.V(-4, 2), P(-6, 10), vertical axis of symmetry
A. (x - 2)2 = 
(y + 4)
B. (y - 2)2 = 
(x + 4)
C. (y + 4)2 = 
(x - 2)
D. (x + 4)2 = 
(y - 2)