Provide an appropriate response.Find the exact value of sin 
+ sin 
.
A. -1
B. 
C. 1
D. 0
Answer: D
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Provide an appropriate response.The dual of Minimize Z = x1 + 3x2 subject tox1 - 2x2 ?43x1 + x2 ?1x1, x2 ?0is:
A. Maximize W = 4y1 + y2 subject to y1 + 3y2 ? 1; - 2y1 + y2 ? 3; y1, y2 ? 0. B. Maximize W = 4y1 + y2 subject to y1 - 2y2 ? 1; 3y1 + y2 ? 3; y1, y2, ? 0. C. Maximize W = y1 + 3y2 subject to y1 + 3y2 ? 4; - 2y1 + y2 ? 1; y1, y2 ? 0. D. Maximize W = y1 + 3y2 subject to y1 - 2y2 ? 4; 3y1 + y2 ? 1; y1, y2 ? 0. E. Maximize W = 4y1 + y2 subject to y1 + 3y2 ? 1; - 2y1 + y2 ? 3; y1, y2 ? 0.
In the circuit shown below, X =
What will be an ideal response?
Find an equation of the line containing the given pair of points. Write your final answer as a linear function in slope-intercept form.(-8, 2) and (-5, 4)
A. f(x) = 
x + 
B. f(x) = 
x + 
C. f(x) = - 
x + 
D. f(x) = - 
x + 
Provide an appropriate response.To which of the following sets does - 
belong: natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers?
A. Irrational numbers, natural numbers B. Rational numbers, real numbers C. Irrational numbers, real numbers D. Rational numbers, natural numbers