On the Richter scale, the magnitude R of an earthquake is given by the formula
where I is the intensity of the earthquake being measured and I0 is the standard reference intensity.
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What is the magnitude of an earthquake that has intensity 10 millions times that of I0?
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R = __________
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Suppose an earthquake is measured with a magnitude of 5 on the Richter scale with an error of at most 2%. Use differentials to find the error in the intensity of the earthquake.
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Hint: Observe that and use logarithmic differentiation. Round your answer to the nearest integer.
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__________I0
What will be an ideal response?
7; 23,026
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Perform the indicated operations and simplify the result. Leave the answer in factored form. ?
A.
B.
C.
D.
Simplify the complex fraction using the Multiply by the LCD Method.
A.
B.
C.
D.
Use the quadratic formula or graphing methods to solve the inequality.6x2 - 27x + 6 ? 0
A. x ? ? 4.266
B. x ? ? 0.234
C. ? 0.234 ? x ?
? 4.266
D. x ? ? 0.234 or x ?
? 4.266
Solve the problem.Explain how the graph of y = log2 can be obtained from the graph of y = log2 x.
What will be an ideal response?