Solve.At a fixed temperature, the resistance R of a wire varies directly as the length l and inversely as the square of its diameter d. If the resistance is 0.63 ohm when the diameter is 1 mm and the length is 210 cm, what is the resistance when the diameter is 3 mm and the length is 1370 cm?

A. 0.457 ohm
B. 1.37 ohm
C. 152.222 ohm
D. 95.9 ohm


Answer: A

Mathematics

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Perform the indicated operations and simplify. -  + 2

A.
B.
C.
D.

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Factor.-m2 + 2m + 35

A. (m + 7)(m - 5) or (-m - 7)(5 - m) B. (7 - m)(m - 5) or (m - 7)(5 - m) C. (7 - m)(5 - m) or (m - 7)(m - 5) D. (7 - m)(m + 5) or (m - 7)(-m - 5)

Mathematics

Solve.The height in meters of girls of a certain tribe is approximated by  where t is the girl's age in years and  Estimate the height (to the nearest hundredth of a meter) of a girl of the tribe 4 years of age.

A. 0.52 m B. 0.96 m C. 1.12 m D. 0.77 m

Mathematics

A coin is tossed seven times and the sequence of heads and tails is observed. What is the number of different possible outcomes?

A. 21 B. 128 C. 49 D. 14 E. none of these

Mathematics