Perform the indicated operation. Assume that variables represent positive numbers.
+ 
A. 
B. 
C. 
D. 
Answer: A
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Solve the problem.Find the moment of inertia about the x-axis of the lamina bounded by the coordinate axes and the line 
if 
.
A. Ix ? 
B. Ix ? 864
C. Ix ? 
D. Ix ? 
Given that p and q each represents a simple statement, write the indicated compound statement in its symbolic form.p: Manuel is Carmen's brother.q: Carmen is Manuel's sister. Manuel is not Carmen's brother if and only if Carmen is not Manuel's sister.
A. ~ p ? ~ q B. p ? ~ q C. ~ p ? ~ q D. ~ p ? ~ q
Multiply and reduce answers to lowest terms. Write improper fractions as whole or mixed numbers.
? 
A. 
B. 
C. 
D. 
Solve the problem.The amount of money, in billions of dollars, spent on health care that was covered by insurance in a certain country in a particular year can be approximated by the function 
where x represents the number of years after 1995. The amount of money, in billions of dollars, spent on health care that was paid out of pocket in a certain country in a particular year can be approximated by the function 
where again x represents the number of years after 1995. (i) Find (f - g)(x). Explain, in your own words, what this function represents.(ii) Find (f -
g)(55). Explain, in your own words, what this number represents. A. (i) (f - g)(x) = x2 + 14x + 151; this is the difference between health-care costs covered by insurance and health-care costs that are paid out of pocket, in billions of dollars, x years after 1995. (ii) 3946; health-care costs covered by insurance will be $3,946,000,000,000 higher than health-care costs that are paid out of pocket in 2050. B. (i) (f - g)(x) = x2 + 14x + 151; this is the difference between health-care costs that are paid out of pocket and those that are covered by insurance, in billions of dollars, x years after 1995. (ii) 3946; health-care costs covered by insurance will be $3,946,000,000,000 less than health-care costs that are paid out of pocket in 2050. C. (i) (f - g)(x) = x2 - 24x - 435; this is the difference between health-care costs covered by insurance and health-care costs that are paid out of pocket, in billions of dollars, x years after 1995. (ii) 1270; health-care costs covered by insurance will be $1,270,000,000,000 higher than health-care costs that are paid out of pocket in 2050. D. (i) (f - g)(x) = x2 - 24x - 435; this is the difference between health-care costs that are paid out of pocket and those that are covered by insurance, in billions of dollars, x years after 1995. (ii) 1270; health-care costs covered by insurance will be $1,270,000,000,000 less than health-care costs that are paid out of pocket in 2050.