Use the change-of-base rule (with either common or natural logarithms) to find the given logarithm. Approximate to three decimal places.log30.452

A. -0.345
B. -0.723
C. 6.637
D. -1.384


Answer: B

Mathematics

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Solve the problem.A heat engine is a device that converts thermal energy into other forms. The thermal efficiency, e, of a heat engine is defined by where Qh is the heat absorbed in one cycle and Qc, the heat released into a reservoir in one cycle, is a constant. Find .

A.  = 
B.  = 
C.  = 
D.  = 

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Solve the problem. Use 3.14 for ?. Round your answer to the nearest hundredth.The striking circle in field hockey is a semicircle with a radius of 15.7 yd. Find the area of the semicircle.

A. 98.6 yd2 B. 774.0 yd2 C. 387.0 yd2 D. 3095.9 yd2

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Multiply.1 ? 72

A. 1 B. 72 C. 172 D. 0

Mathematics

Provide an appropriate response.Approximately 4 × 103 employees of a certain company average $30,000 each year in salary. What is the total amount earned by all the employees of this company per year? Write your answer in scientific notation.

A. $1.2 × 109 B. $1.2 × 108 C. $12 × 108 D. $12 × 109

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