Find the sum of the arithmetic sequence.(-6) + (-1) + 4 + 9 + ... + 39
A. 165
B. 160
C. 330
D. 170
Answer: A
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Evaluate the line integral of f(x,y) along the curve C.f(x, y) = x2 + y2, C: y = -3x + 3, 0 ? x ? 3
A. 12
B. 36
C. 36
D. 216
Solve the problem.A couple have bought a new house and are comparing quotes from two moving companies for moving their furniture. Company A charges $80 for the truck and $50 per hour for the movers. Company B charges $60 for the truck and $55 per hour for the movers. Create a cost equation for each company where y is the total cost and x is the number of hours of labor. Write a system of equations.
A. y = 80x + 50 y = 60x + 55 B. 50y = x + 80 55y = x + 60 C. 50y = 80x 55y = 60x D. y = 50x + 80 y = 55x + 60
Rewrite the following as a product of trigonometric functions.sin + sin
A. 2 sin sin
B. 2 cos cos
C. 2 cos sin
D. 2 sin cos
Solve the problem.A ship at sea, the Admiral, spots two other ships, the Barstow and the Cauldrew and measures the angle between them at be 45°. They radio the Barstow and by comparing known landmarks, the distance between the the Admiral and the Barstow is found to be 323 meters. The Barstow reports an angle of 59° between the Admiral and the Cauldrew. To the nearest meter, what is the distance between the Barstow and the Cauldrew?
A. 266 m B. 235 m C. 49 m D. 81 m