Find the moment or center of mass of the wire, as indicated.Find the center of mass of a wire that lies along the semicircle y = 
if the density of the wire is 
.
A. 
= 0, 
= 2
B. 
= 0, 
= 3
C. 
= 3, 
= 3
D. 
= 2, 
= 2
Answer: B
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Factor completely. If unfactorable, indicate that the polynomial is prime.4x2 - 12x - 72
A. (-72x - 24)(x + 3) B. 4(x + 6)(x - 3) C. 4(x - 6)(x + 3) D. (x - 6)(4x + 12)
Perform the indicated operations. Simplify the answer.
A. - 
B. 
C. - 
D. 
Determine whether the matrix is in row-echelon form. If it is, then determine also whether it is in reduced row-echelon form.
A. Yes; yes B. Yes; no C. No
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.