Replace the variable as indicated and decide whether the given number is the solution.3 + p = 14; replace p with 11
A. 14 = 14; Yes
B. 13 = 14; No
Answer: A
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Express the value of the inverse hyperbolic function in terms of natural logarithms.csch-1 
A. ln 
B. ln 
C. ln 
D. ln 
Find the center of mass of a thin plate of constant density covering the given region.The region bounded by the x-axis and the semicircle y = 
A. 
= 
, 
= 
B. 
= 0, 
= 
C. 
= 0, 
= 
D. 
= 
, 
= 0
Find the value of the objective function at each corner of the graphed region. Use this information to answer the question. 
Objective Functionz = x + 9yWhat is the maximum value of the objective function?
A. 30 B. 47 C. 22 D. 38
Provide an appropriate response.Ben drove his car 537 kilometers in 6 hours while he was on vacation in Italy. He was trying to estimate how far he could drive in 8 hours the next day so he set up the following proportion: 
Explain why this proportion will not give him the correct answer.
What will be an ideal response?