Provide an appropriate response.For the system  5x - 7y = -4  6x + 3y = -1find the value of the determinant D.

A. -29
B. 57
C. -27
D. 19


Answer: B

Mathematics

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Solve the problem.Find the volume of the solid generated by revolving the region in the first quadrant bounded by the x-axis and the curve y = x cos x, 0 ? x ? ?/2 about the y-axis.

A.  + 2?2 - 4?
B.  - 8?
C.  - 4?
D.  - 4?

Mathematics

Find the product and simplify. ? 

A. 9
B.
C. 3
D. 35

Mathematics

Solve the problem.A student deposits $250 into an account with an interest rate of r. If the interest is compounded annually, after 2 years, the amount of money in the account is given by . Find the polynomial that represents the amount of money in the account after 2 years. (Hint: Multiply ; then distribute 250.)

A. 250r B. 250 + 500r + 250r2 C. 250 + 250r2 D. 250 + 250r + 250r2

Mathematics

Solve the problem.On a gambling boat, Gertrude doubled her bet each time she won. If her first winning bet was $5 and she won six consecutive bets, find how much she won on the sixth bet. Find the total amount she won on these six bets.

A. $160; $315 B. $320; $635 C. $80; $155 D. $320; $315

Mathematics