3. In 1935 Charles Richter defined the magnitude of an earthquake to be M = log(I) – log(I,), where M is the magnitude ofthe earthquake, I is the intensity of the earthquake, and Io is the intensity of a standard earthquake or benchmark earthquake.Write the formula for the magnitude of an earthquake as a single logarithmic function. What is the Richter scale rating of anearthquake for which I = 10001?File UploadText EntryWebsite URLGoogle DocGoogle DriveOffice 365

→logmn = log(m) - log(n)→logmn = n log(m)

Answered: 3. In 1935 Charles Richter defined the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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5. State the numeric value of the following -5 log, x log, (x-x) log,
6. An average earthquake measures 4.5 on the Richter scale. a. How much more intense is an earthquake that measures 8.5 on the Richter scale? b. What is the magnitude of an earthquake that is 200 times more intense than an average earthquake? M = log I
4. Find, in exact logarithmic form, the root of the equation: 3tanh20 = 5sech0 + 1,0 is a real number.
2. The slope of a beach is influenced by the local tides, wind and wave patterns, and the size of the sand particles on the beach. In general, as the diameter in millimetres, d, of the average size of the particles on the beach increases, the slope of the beach, s, increases according to the formula s(d) = 0.159 +0.1181 log d. If the slope of a particular beach is 0.005 (about a 1-m vertical climb for every 200 m in the horizontal direction), algebraically determine the average diameter (in millimetres) of a grain of sand on the beach. Round your answer to 4 decimal places.
2. Prove the following equations: A. 1+log. 1Hiog, 6 = logab B. logi a? -2
The range of sound intensities that the human ear can detect is so large that a special decibel scale (named after Alexander Graham Bell) is used to measure and compare sound intensities. The decibel level (dB) is given by log() dB(I) = 10 log( where Io is the intensity of sound that is barely audible to the human ear. Use the decibel level formula to find the decibel level for the following sounds. Round to the nearest tenth of a decibel. (a) Automobile traffic, I = 1.58 x 108. Io dB (b) Quiet conversation, dB I = (d) Jet engine, dB = 10,800. Io (c) Fender guitar, I = 3.16 x 10¹1. Io dB I = 1.58 × 10¹5. Io 1 Reminder
where / is the amplitude registered on a seismograph 100 km from the epicenter of K The magnitude of an earthquake, measured on the Richter scale, is log 107 the earthquake, and lo is the amplitude of a certain (small) size. Find the Richter scale rating for an amplitude of 100,000,000/- The magnitude, R (measured on the Richter scale) is.
8. The pH scale used to specify the acidity of a solution is given by the formula pH concentration of hydronium ions in a solution in moles per litre. A strong acid has a concentration of 2.6 x 10-³ mol/L. What is its pH? Express the formula exponential form. a. b. C. -log (C), where C is the Use your answer in part b) to determine the concentration of hydronium ions in a neutral solution (where the pH = 7).

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