Evaluate the expression for the given replacement values.(8x - yz)3  for x = 2, y = 4, z = 3

A. 46,656
B. 324
C. 64
D. 12


Answer: C

Mathematics

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Find an equation of an ellipse satisfying the given conditions.Foci at (-2, 0) and (2, 0); length of major axis: 10

A.  + 
B.  + 
C.  + 
D.  + 

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Determine the reference angle for the given angle.? = - 

A.
B.
C.
D.

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Provide an appropriate response.The solution of (x + 1)(x2 - 1) < 0 is

A. x < -1, x > 1. B. x > 1. C. -1 < x < 1. D. x < -1, -1 < x < 1. E. x < 1.

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Any sound from one focus of an ellipse reflects off the ellipse directly back to the other focus. This property explains whispering galleries such as Statuary Hall in Washington, D.C. The whispering gallery shown in illustration has the shape of a semi-ellipse. Find the distance sound travels as it leaves focus F and returns to focus F'. ? 

A. 31 meters B. 32 meters C. 63.2 meters D. 33.5 meters E. 31.6 meters

Mathematics