Expand the expression using the Binomial Theorem.(x2 + 4y)4
A. x8 + 16x6y + 96x4y2 + 16x2y3 + 256y4
B. x8 + 16x6y + 96x4y2 + 256x2y3 + 256y4
C. x8 + 4x6y + 96x4y2 + 128x2y3 + 256y4
D. x4 + 16x3y + 96x2y2 + 256xy3 + 256y4
Answer: B
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Solve the problem.According to Boyle's law, the relation 
= 
holds for pressures P1 and P2 and volumes V1 and V2 of a gas at a constant temperature. Find V1 if 
and 
If necessary, round to three decimal places.
A. 43.376 m3 B. 0.02 m3 C. 0.088 m3 D. 0.202 m3
Solve.A nuclear cooling tower cross section is a hyperbola having a diameter of 50 ft at the center. The distance between the two foci is 96 ft. What is the equation for the hyperbola?
A. 
- 
= 5
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Find the perimeter or area of the figure as indicated. Express your answer in simplified radical form.Find the area of the trapezoid given that its height is 2
m and the lengths of its bases are 
m and 
m.
A. 30 sq m
B. (15 + 5
) sq m
C. (225 + 5
) sq m
D. (15 + 25
) sq m
Use Descartes' Rule of Signs and the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = 4x3 - 5x2 + 8x - 10
A. 10; f(x) = (x - 10)(4x2 + 1)
B. 
; f(x) = (4x - 5)(x2 + 2)
C. 2, 
, 1; f(x) = (4x - 5)(x - 1)(x - 2)
D. -2, -1, 
; f(x) = (4x - 5)(x + 1)(x + 2)