Write as the sum and/or difference of logarithms. Express powers as factors.log 
A. log 1 - 3 log 1 - 3 log x
B. log(x - 1) + log(x2 + x + 1) - 3 log x
C. log(x - 1) + log(x2 + 1) - 3 log x
D. log x3 - log 1 - 3 log x
Answer: B
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Solve the problem.The shadow cast by an object on a sunny day varies directly as the height of the object. If a person 71 inches tall casts a shadow 70 inches long, how tall is a tree which casts a shadow 33 feet in length?
A. 32.54 feet B. 33.47 feet C. 70.5 feet D. 150.61 feet
Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.
A. f(4, 4) = 521, local maximum B. f(4, 0) = 9, local minimum; f(0, 4) = 9, local minimum C. f(0, 0) = 9, saddle point; f(4, 4) = 521, local maximum D. f(0, 0) = 9, test is inconclusive
Assign as indicated using the Huntington-Hill method.A police chief wishes to assign ten police officers to three regions. The numbers of incidents reported during an average month in the three regions are as follows:Region 1: 145Region 2: 131Region 3: 89Help the police chief assign the officers to each region. Begin by giving each region one police officer.
A. Region 1: 5; Region 2: 3; Region 3: 2 B. Region 1: 5; Region 2: 4; Region 3: 1 C. Region 1: 4; Region 2: 3; Region 3: 3 D. Region 1: 4; Region 2: 4; Region 3: 2
X is Binomial(7, 0.4).
Find E ( X ), Var ( X ), and SD( X ) for the given random variable