Earthquake Intensity On the Richter scale, the magnitude R of an earthquake of intensity I is given by In(I) – In(I,) R = In(10) where I, is the minimum intensity used for comparison. Assume I, = 1. (a) Find the magnitude of an earthquake with an intensity of 39,811,000. (Round your answer to one decimal place.) (b) Find the intensity of the January 23, 2015 earthquake in Vanuatu for which R = 6.8. (Round your answer to the nearest whole number.) I = (c) Find the intensity of the April 1, 2014 earthquake in Chile for which R = 8.2. (Round your answer to the nearest whole number.) I = (d) Find the factor by which the intensity is increased when the value of R is doubled. (Write the new intensity in terms of the original intensity New Intensity = dR (e) Find dI dR dI

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 27E
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Earthquake Intensity On the Richter scale, the magnitude R of an earthquake of intensity I is given by
In(I) – In(I,)
R =
In(10)
where I, is the minimum intensity used for comparison. Assume I
= 1.
(a) Find the magnitude of an earthquake with an intensity of 39,811,000. (Round your answer to one decimal place.)
(b) Find the intensity of the January 23, 2015 earthquake in Vanuatu for which R = 6.8. (Round your answer to the nearest whole number.)
I =
(c) Find the intensity of the April 1, 2014 earthquake in Chile for which R = 8.2. (Round your answer to the nearest whole number.)
I =
(d) Find the factor by which the intensity is increased when the value of R is doubled. (Write the new intensity in terms of the original intensity, I.)
New Intensity =
dR
(e) Find
dI
dR
dI
Transcribed Image Text:Earthquake Intensity On the Richter scale, the magnitude R of an earthquake of intensity I is given by In(I) – In(I,) R = In(10) where I, is the minimum intensity used for comparison. Assume I = 1. (a) Find the magnitude of an earthquake with an intensity of 39,811,000. (Round your answer to one decimal place.) (b) Find the intensity of the January 23, 2015 earthquake in Vanuatu for which R = 6.8. (Round your answer to the nearest whole number.) I = (c) Find the intensity of the April 1, 2014 earthquake in Chile for which R = 8.2. (Round your answer to the nearest whole number.) I = (d) Find the factor by which the intensity is increased when the value of R is doubled. (Write the new intensity in terms of the original intensity, I.) New Intensity = dR (e) Find dI dR dI
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