Transform the following summation by making the change of variable j = k + 1 :
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Solve the problem.A child on a swing sweeps out a distance of 24 ft on the first pass. If she is allowed to continue swinging until she stops, and if on each pass she sweeps out a distance 
of the previous pass, how far does the child travel?
A. 16 ft B. 32 ft C. 56 ft D. 8 ft
Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at 
and 
. The cross sections perpendicular to the x-axis between these planes are squares whose bases run from the semicircle 
to the semicircle 
.
A. 
B. 
C. 
D. 
Use the Binomial Theorem to expand the binomial and express the result in simplified form.(3x + 5)4
A. 81x4 + 540x3 + 1350x2 + 1500x + 625 B. 81x4 + 625x4 C. 81x3 + 540x2 + 1350x + 1500 D. 405x4 + 2700 x3 + 1350x2 + 7500x + 625
Solve. Write a mixed numeral for the answer.Find the length of the section represented by x in the figure. 
a = 2
b = 11
A. 6
B. 11
C. 19
D. 6