Find the vertices and foci of the given ellipse.
+ 
= 1
A. Vertices: (0, 25) and (0, -25);
Foci: (0, 5) and (0, -5)
B. Vertices: (81, 0) and (-81, 0);
Foci: (9, 0) and (-9, 0)
C. Vertices: (0, 9) and (0, -9);
Foci: (0, 2
) and (0, -2
)
D. Vertices: (9, 0)and (-9, 0);
Foci:(2
, 0) and (-2
, 0)
Answer: D
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Provide an appropriate response.Find the total force against the surface of a tank full of liquid of weight density 3 for a tank in the shape of a sphere of radius 3.
A. 108? B. 81? C. 324? D. 162?
Determine if the given ordered pair is a solution of the equation.y = 
x + 
; 
A. A solution B. Not a solution
Multiply.(5k2 - 5k - 5)(k2 - 4k - 2)
A. 5k4 - 20k3 + 10k2 + 30k + 10 B. 5k4 - 20k3 + 5k2 + 30k + 10 C. 5k4 - 25k3 + 10k2 + 30k + 10 D. 5k4 - 25k3 + 5k2 + 30k + 10
Solve the problem.Suppose that certain bacteria can double their size and divide every 30 minutes. Write a recursive sequence that describes this growth where each value of n represents a 30-minute interval. Let a1 = 453 represent the initial number of bacteria present.
A. a1 = 453; an = 
an-1 for n > 1.
B. an = 2 a1 for all values of n.
C. a1 = 453; an = 2 an+1 for n > 1.
D. a1 = 453; an = 2 an-1 for n > 1.