Provide an appropriate response.Use two different methods to simplify the fraction. Explain each step of your work.
What will be an ideal response?
One method is to simplify the numerator and denominator separately, multiply the numerator by the reciprocal of the denominator, and simplify the resulting fraction, if possible.
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The second method is to multiply the numerator and denominator of the complex fraction by the least common denominator of the fractions in the numerator and the fractions in the denominator of the complex fraction, and then simplify the resulting fraction, if possible.
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(Explanations will vary.)
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Solve the problem.A boat goes 120 miles downstream in the same time it can go 90 miles upstream. The speed of the current is 4 miles per hour. Find the speed of the boat in still water.
A. 24 mph B. 28 mph C. 21 mph D. 32 mph
Provide an appropriate response.Suppose that S and T are mutually exclusive events. Which of the following statements is true?
A. S and T must also be independent. B. S and T cannot possibly be independent. C. S and T may or may not be independent.
Find an equation for the graph.
A. y = -4 sin 
B. y = -4 sin (2x)
C. y = -4 cos (2x)
D. y = -4 cos 
Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.log x = 0.5
A. 0.316 B. 31.623 C. 3.162 D. No solution