Evaluate the expression using the given values.
+ 
x = 4 and y = -1
A. 1
B. 2
C. -1
D. 0
Answer: D
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Determine if the argument is valid or invalid. Give a reason to justify answer.If you eat well, you will be well.If you are well, you will be happy.? If you eat well, you will be happy.
A. Valid by the law of contraposition B. Invalid by fallacy of the converse C. Valid by the law of syllogism D. Invalid by fallacy of the inverse
Solve the problem.A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the radius of the hemisphere is 10 feet and the height of the silo is h feet, express the volume of the silo as a function of h.
A. V(h) = 100 ?(h2 - 10) + 
?
B. V(h) = 100 ?h + 
?h2
C. V(h) = 100 ?(h - 10) + 
?
D. V(h) = 4100 ?(h - 10) + 
?
Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers.
log2 x4 + 
log2 x4 - 
log2 x
A. log2 x9/2
B. log2 x17/6
C. log2 x7
D. 
log2 x8
Use logarithmic identities to complete the following. Write log9 
in terms of log9 y.
A. 3 log9 (y) - 9 B. 2 log9 (y) + 3 C. log9 (3y) - 2 D. 3 log9 (y) - 2