Solve.Andrea is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $180 for materials and equipment rental plus $45 per hour for labor. Company B gave and estimate of $270 for materials and equipment rental plus $30 per hour for labor. Create a cost equation for each company where y is the total cost of the landscaping and x is the number of hours of labor. Determine how many hours of labor will be required for the two companies to cost the same.
A. 6 hours
B. 10 hours
C. 5 hours
D. 9 hours
Answer: A
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Solve the problem.A rectangular swimming pool is being constructed, 18 feet long and 100 feet wide. The depth of the pool is measured at 3-foot intervals across the length of the pool. Estimate the volume of water in the pool using Simpson's Rule.
A. 12,300 ft3 B. 7000 ft3 C. 9300 ft3 D. 10,500 ft3
Solve the problem.Find the foci and asymptotes of the following hyperbola:4y2 - 25x2 = 100
A. Foci: (
, 0), (-
, 0); Asymptotes: y = 
x, y = - 
x
B. Foci: (0, 
), (0, -
); Asymptotes: y = 
x, y = - 
x
C. Foci: (
, 0), (-
, 0); Asymptotes: y = 
x, y = - 
x
D. Foci: (0, 
), (0, -
); Asymptotes: y = 
x, y = - 
x
Calculate the circulation of the field F around the closed curve C.F = x3y2i + x3y2j; curve C is the counterclockwise path around the rectangle with vertices at 
, and 
A. 0 B. - 9 C. -108 D. 153
Solve the problem.Find the extreme values of 
subject to 
and 
A. Maximum: none; minimum: 
at 
B. Maximum: none; minimum: 
at 
C. Maximum: none; minimum: 
at 
D. Maximum: none; minimum: 
at 