Solve the given applied problems involving variation.The volume of wood, V, obtained from a tree varies jointly as the height, h, and the square of the girth (the distance around the tree trunk), g. If the volume is 38.4 ft3 when the height is 30 ft and the girth is 4 ft, what is the volume when the height is 45 ft and the girth is 5 ft?
A. 90 ft3
B. 85.76 ft3
C. 93 ft3
D. 92.35 ft3
Answer: A
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Simplify. Write the answer using only positive exponents. Leave the answer in exponential notation.(y4)5
A.
B.
C. y9
D. y20
Solve.The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells binoculars. At the break-even point both cost and revenue are what?
A. $1500 B. $750 C. $2250 D. $2700
Find all rational zeros of f. Then (if necessary) use the depressed equation to find all roots of the equation f(x) = 0.f(x) = 3x4 + -11x3 - 11x2 - 65x - 20
A. {- , 4, -
,
}
B. {-4, , -
,
}
C. {-4, - , -
,
}
D. {, 4, -
,
}
Provide an appropriate response.Find fxy for f(x, y) = 10 x2 y4 - 7 x3 y5 .
A. 160x y3 -105 x2 y4 B. 80x y3 - 21x2 y4 C. 160xy3 - 21x2 y4 D. 80x y3 - 105x2 y4