Find the sum, if it exists, of the terms of the infinite geometric sequence.
A.
B.
C.
D. Does not exist
Answer: B
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Assuming that the equations define x and y implicitly as differentiable functions
find the slope of the curve
at the given value of t.x cos t + x = 2t, y = t sin t + t, t =
A. 2
B.
C. 2 + ?
D.
Use the binomial theorem to expand the expression.(4x + 3)3
A. 64x3 + 144x2 + 108x + 27 B. 16x2 + 24x + 9 C. 16x6 + 12x3 + 729 D. 64x3 + 144x2 + 144x + 27
Write the inequalities that describe the constraints on production.The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. The company can produce up to 84 rings each day, using up to 210 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 7 man-hours to make one SST ring. Let x represent the number of VIP rings, and let y represent the number of SST rings.
A. 0 ? x ? 84, 0 ? y ? 84, 3x + 7y ? 210
B. x + y ? 84, 3x + 7y ? 210, ,
C. x + y ? 84, 7x + 3y ? 210, ,
D. 0 ? x ? 84, 0 ? y ? 84, 7x + 3y ? 210
Substitute to find the value of the expression.Mary earns three times as much per week as Maureen. If x represents the amount that Maureen earns per week, then 3x represents the amount that Mary earns per week. How much does Mary earn per week if Maureen earns $346 per week?
A. $1038 B. $115.33 C. $343 D. $349