Solve the problem.A glass has circular cross sections that taper (linearly) from a radius of 6 cm at the top of the glass to a radius of 5 cm at the bottom. The glass is 14 cm high and full of lemonade. How much work is required to drink all the lemonade through a straw if your mouth is 7 cm above the top of the glass? Assume the density of lemonade equals the density of water. Round to two decimal places when appropriate.
A. 0.57 J
B. 1.78 J
C. 2.84 J
D. 42.24 J
Answer: B
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Find the sum of the series as a function of x.
A. -
B. -
C.
D.
Consider the two fictional city wards in the table below. They have experienced the largest population gain of all the wards in the city, so one of them will receive an additional seat on the city council. Find the absolute unfairness of the apportionment if the Southwest ward gets the council seat. Round all intermediate calculations and the answer to the nearest whole number.
a. 70
b. 77
c. 76
d. 75
Find the decimal form for the rational number. If it repeats, then so indicate with a bar.-
A. -5.8
B. -4.83
C. -4.833
D. -4.8
Solve the problem.A rock falls from a tower that is 480 feet high. As it is falling, its height is given by the function How many seconds will it take for the rock to land on the ground?
A. 21.9 seconds B. 14,400 seconds C. 21.5 seconds D. 5.5 seconds