Solve the problem.P(x) = -x3 + x2 - 60x + 100, x ? 5 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of hundred thousands of tires that must be sold to maximize profit.

A. 4 hundred thousand
B. 5.5 hundred thousand
C. 5 hundred thousand
D. 4.5 hundred thousand


Answer: C

Mathematics

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Find the volume of the indicated region.The region bounded by the paraboloid  and the plane 

A. ?
B. ?
C. 5000?
D. 2500?

Mathematics

Provide an appropriate response.Perform the indicated operation. Write answer with positive exponents:   2n(5n2 - 4n - 3)

What will be an ideal response?

Mathematics

Find the uncoded 1 × 3 row matrices for the message "MERRY CHRISTMAS" by assigning a number to each letter in the alphabet such as 1 = A, 2 = B, 3 = C and so on (with 0 assigned to a blank space); ? then encode the message using the encoding matrix . ?

A. Uncoded: 

Encoded: 


B. Uncoded: 

Encoded: 


C. Uncoded: 

Encoded: 


D. Uncoded: 

Encoded: 


E. Uncoded: 

Encoded: 


Mathematics

Solve the exponential equation. Round to three decimal places when necessary.300 - (1.78)x = 0

A. 10.904 B. 8.658 C. 11.126 D. 9.892

Mathematics