Solve the problem.Jerry has three pieces of string. The total length is 95 inches. The sum of the two longer pieces is 79. The middle piece is twice as long as the shortest piece. What are the lengths of the three pieces?
A. 8, 16, and 71 inches
B. 47, 57, and 71 inches
C. 16, 47, and 57 inches
D. 16, 32, and 47 inches
Answer: D
Mathematics
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Evaluate the integral.
A. -4i - 
j - 24k
B. -4i - 
j + 24k
C. -4i + 
j + 24k
D. +4i + 
j + 24k
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Solve the problem.The length of one arch of the curve y = 3 sin 2x is given by L = 
Estimate L by the Trapezoidal Rule with n = 6.
A. 5.8169 B. 6.2807 C. 6.4115 D. 6.1995
Mathematics
Provide an appropriate response.Evaluate: log7 3
A. 0.5646 B. 2.5851 C. 0.3280 D. 1.2770
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A combination lock will open when the right choice of three numbers (from 1 to 35) is selected. How many different lock combinations are possible (duplicate numbers are allowed)?
a. 1,225 b. 42,875 c. 128,625 d. 105
Mathematics