Solve the problem.A construction crane lifts a bucket of sand originally weighing
at a constant rate. Sand is lost from the bucket at a constant rate of
. How much work is done in lifting the sand
? (Neglect the weight of the bucket.)
A. 12,075 ft ? lb
B. 10,850 ft ? lb
C. 9625 ft ? lb
D. 8400 ft ? lb
Answer: C
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Solve the problem.A pipette has the shape of a right circular cylinder with a right circular cone at its end. The pipette is used to inject a nutritive suspension into a colony of microbes. The volume, in cubic centimeters, of a pipette of height h and radius r, both in centimeters, is given by the polynomial . How much nutritive suspension can be provided if the pipette has a radius of 0.2 cm and a height of 3.1 cm? Use 3.14 for ? and round to the nearest tenth cubic centimeter.
A. 8 cm3 B. 0.3 cm3 C. 1.1 cm3 D. 0.5 cm3
Use the product-to-sum or sum-to-product identities to find an identity for the given expression.sin 14? sin 9?
A. (cos -5? + cos 23?)
B. (cos -5? - cos 23?)
C. cos -5? - cos 23?
D. (sin -5? - sin 23?)
Find an equation in slope-intercept form of the line that passes through the given point and has slope m.(3, 3); m = -
A. y = - x -
B. y = - x +
C. y = - x +
D. y = - x +
A recipe for spaghetti sauce requires 6 bottles of ketchup to make 8 gallons of sauce. How many bottles of ketchup are needed to make 56 gallons of sauce?
Fill in the blank(s) with the appropriate word(s).