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Radical Signs and Advantages of Rational Exponents; Loudness of Sound - Formula and Measurement; Index of a Sequence - Range, Domain, Aritmetic and Geometric Sequences

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1. While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.

2. The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is relative to (a ratio of) the weakest sound the ear can hear.
Using the Cybrary, web resources, and other course material, research how sound is measured. Include the following items in your posting:
? The formula for measuring sound.
? Pick a specific sound, give the decibels of the sound, and explain what this measurement means.

3. Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?
Include the following in your answer:
? Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence?
? Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence?
? Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric. Explain how these examples would affect you personally.

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Radical Signs and Advantages of Rational Exponents, Loudness of Sound and Sequences are discussed. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

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