Provide an appropriate response.Identify a verbal interpretation of the statement:  x + 3 = 5

A. The product of a number and three is five.
B. A number subtracted from three is five.
C. The sum of a number and three is five.
D. The quotient of three and a number is five.


Answer: C

Mathematics

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Prove the identity.tan 2x = 

What will be an ideal response?

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Use the Laws of Exponents to simplify. Write the answer with positive exponents. All variables are nonzero.

A.
B. p5
C.
D. p6

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Use a calculator to find the natural logarithm correct to four decimal places.ln (2.35 ? 10-12)

A. 3.3393 B. -10.2528 C. 0.8544 D. -26.7766

Mathematics

A correctional facility firm has hired a total of 120 new prison guards to send to its four correctional facilities. The number of inmates at each of the facilities is listed in the table below together with its apportionment according to the Hamilton method. If the firm decides at the last minute to hire one more guard, determine whether the Alabama paradox will occur in the reapportionment of the guards. If it does, which facility loses a guard in the reapportionment?


a.  The paradox will occur and County A will lose a guard.
b.  The paradox will occur and County B will lose a guard.
c.  The paradox will occur and County C will lose a guard.
d.  The paradox will occur and County D will lose a guard.

Mathematics