Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log5
A. log5 25 - log5 
B. 2 - 
log5(x - 1)
C. 2 - log5 
D. 2 log5 5 - 
log5(x - 1)
Answer: B
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Use the Fundamental Counting Principle to solve the problem.How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 10 members? Assume that no member can hold more than one office.
A. 40 B. 24 C. 5040 D. 210
Find all the first order partial derivatives for the following function.f(x, y, z) = cos x sin2 yz
A. 
= sin x sin2 yz; 
= -2z cos x sin yz cos yz; 
= - 2y cos x sin yz cos yz
B. 
= -sin x sin2 yz; 
= z cos x sin yz cos yz; 
= y cos x sin yz cos yz
C. 
= sin x sin2 yz; 
= - cos x sin yz cos yz; 
= -cos x sin yz cos yz
D. 
= -sin x sin2 yz; 
= 2z cos x sin yz cos yz ; 
= 2y cos x sin yz cos yz
Various signs have symmetries. Determine if the following sign has line symmetry, turn symmetry, and/or point symmetry, if any.Food
A. This sign has turn symmetry only. B. This sign has no symmetry. C. This sign has line symmetry and point symmetry. D. This sign has line symmetry only.
Solve.Libby's 4 quiz scores in her math class are 88, 87, 88, and 79. What score does she need to obtain on her next quiz to average an 85? Round to the nearest whole number if necessary.
A. 77 B. 83 C. 68 D. 85