The Richter scale measures the magnitude of an earthquake by comparing the amplitude of the seismic waves of the given earthquake to those of a "magnitude 0 event", which was chosen to be a seismograph reading of 0.01 millimeters recorded on a seismometer 100 kilometers from the earthquake's epicenter. Specifically, the magnitude of an earthquake is given by M(x) = log(0001) 0.001 where x is the seismograph reading in millimeters of the earthquake recorded 100 kilometers from the epicenter. (a) M(0.001) = (b) М(60, 000) — Round to one decimal place. (c) How many times larger is an earthquake that registered 6.9 on the Richter scale than one that measured 5.9? (Type your answer as a number.)
The Richter scale measures the magnitude of an earthquake by comparing the amplitude of the seismic waves of the given earthquake to those of a "magnitude 0 event", which was chosen to be a seismograph reading of 0.01 millimeters recorded on a seismometer 100 kilometers from the earthquake's epicenter. Specifically, the magnitude of an earthquake is given by M(x) = log(0001) 0.001 where x is the seismograph reading in millimeters of the earthquake recorded 100 kilometers from the epicenter. (a) M(0.001) = (b) М(60, 000) — Round to one decimal place. (c) How many times larger is an earthquake that registered 6.9 on the Richter scale than one that measured 5.9? (Type your answer as a number.)
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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Transcribed Image Text:The Richter scale measures the magnitude of an earthquake by comparing the amplitude of the seismic waves
of the given earthquake to those of a "magnitude 0 event", which was chosen to be a seismograph reading of
0.01 millimeters recorded on a seismometer 100 kilometers from the earthquake's epicenter. Specifically, the
magnitude of an earthquake is given by
M(2) = log(n001)
0.001
where x is the seismograph reading in millimeters of the earthquake recorded 100 kilometers from the
epicenter.
(a) M(0.001) =
(Б) М(60, 000)
Round to one decimal place.
(c) How many times larger is an earthquake that registered 6.9 on the Richter scale than one that measured
5.9? (Type your answer as a number.)
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