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Let's look at the Richter scale, a logarithmic function that is used to measure the magnitude of earthquakes. The magnitude of an earthquake is related to how much energy is released by the quake. Instruments called seismographs detect movement in the earth; the smallest movement that can be detected shows on a seismograph as a wave with amplitude Ao. A- the measure of the amplitude of the earthquake wave Ao – the amplitude of the smallest detectable wave (or standard wave) From this you can find R, the Richter scale measure of the magnitude of the earthquake using the formula: R = log The intensity of an earthquake will typically measure between 2 and 10 on the Richter scale. Any earthquakes registering below a 5 are fairly minor; they may shake the ground a bit, but are seldom strong enough to cause much damage. Earthquakes with a Richter rating of between 5 and 7.9 are much more severe, and any quake above an 8 is likely to cause massive damage. (The highest rating ever recorded for an earthquake is 9.5 during the 1960 Valdivia earthquake in Chile.) 1. Use the logarithm properties to solve this equation for Ao. 2. We want to compare two earthquakes. Using the equation you got in part A, plug in A1 and Ri for earthquake 1 and do the same for earthquake 2 with A2 and R2. Since both of these equations are equal to Ao, you can set them equal to each other. Do this and then solve for R2-R1.

Let's look at the Richter scale, a logarithmic function that is used to measure the magnitude of earthquakes. The magnitude of an earthquake is related to how much energy is released by the quake. Instruments called seismographs detect movement in the earth; the smallest movement that can be detected shows on a seismograph as a wave with amplitude Ao. A- the measure of the amplitude of the earthquake wave Ao – the amplitude of the smallest detectable wave (or standard wave) From this you can find R, the Richter scale measure of the magnitude of the earthquake using the formula: R = log The intensity of an earthquake will typically measure between 2 and 10 on the Richter scale. Any earthquakes registering below a 5 are fairly minor; they may shake the ground a bit, but are seldom strong enough to cause much damage. Earthquakes with a Richter rating of between 5 and 7.9 are much more severe, and any quake above an 8 is likely to cause massive damage. (The highest rating ever recorded for an earthquake is 9.5 during the 1960 Valdivia earthquake in Chile.) 1. Use the logarithm properties to solve this equation for Ao. 2. We want to compare two earthquakes. Using the equation you got in part A, plug in A1 and Ri for earthquake 1 and do the same for earthquake 2 with A2 and R2. Since both of these equations are equal to Ao, you can set them equal to each other. Do this and then solve for R2-R1.

Calculus: Early Transcendentals
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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I need help with 1 and 2 thank you so much!!

ew View Help co edit, it's safer to stay in Protected View. Enable Editing Let's look at the Richter scale, a logarithmic function that is used to measure the magnitude of earthquakes. The magnitude of an earthquake is related to how much energy is released by the quake. Instruments called seismographs detect movement in the earth; the smallest movement that can be detected shows on a seismograph as a wave with amplitude Ao. A- the measure of the amplitude of the earthquake wave Ao – the amplitude of the smallest detectable wave (or standard wave) From this you can find R, the Richter scale measure of the magnitude of the earthquake using the formula: R = log The intensity of an earthquake will typically measure between 2 and 10 on the Richter scale. Any earthquakes registering below a 5 are fairly minor; they may shake the ground a bit, but are seldom strong enough to cause much damage. Earthquakes with a Richter rating of between 5 and 7.9 are much more severe, and any quake above an 8 is likely to cause massive damage. (The highest rating ever recorded for an earthquake is 9.5 during the 1960 Valdivia earthquake in Chile.) 1. Use the logarithm properties to solve this equation for Ao. 2. We want to compare two earthquakes. Using the equation you got in part A, plug in A1 and Ri for earthquake 1 and do the same for earthquake 2 with A2 and R2. Since both of these equations are equal to Ao, you can set them equal to each other. Do this and then solve for R2-R1. 3. Earthquake 1 registered 7.0 on the Richter scale. Earthquake 2 was 3 times stronger than Earthquake 1. What did Earthquake 2 register on the Richter scale? 4. Earthquake 1 measured a 7.0 on the Richter scale. Earthquake 2 registered 5.3. How much more intense was Earthquake 1?
Transcribed Image Text:ew View Help co edit, it's safer to stay in Protected View. Enable Editing Let's look at the Richter scale, a logarithmic function that is used to measure the magnitude of earthquakes. The magnitude of an earthquake is related to how much energy is released by the quake. Instruments called seismographs detect movement in the earth; the smallest movement that can be detected shows on a seismograph as a wave with amplitude Ao. A- the measure of the amplitude of the earthquake wave Ao – the amplitude of the smallest detectable wave (or standard wave) From this you can find R, the Richter scale measure of the magnitude of the earthquake using the formula: R = log The intensity of an earthquake will typically measure between 2 and 10 on the Richter scale. Any earthquakes registering below a 5 are fairly minor; they may shake the ground a bit, but are seldom strong enough to cause much damage. Earthquakes with a Richter rating of between 5 and 7.9 are much more severe, and any quake above an 8 is likely to cause massive damage. (The highest rating ever recorded for an earthquake is 9.5 during the 1960 Valdivia earthquake in Chile.) 1. Use the logarithm properties to solve this equation for Ao. 2. We want to compare two earthquakes. Using the equation you got in part A, plug in A1 and Ri for earthquake 1 and do the same for earthquake 2 with A2 and R2. Since both of these equations are equal to Ao, you can set them equal to each other. Do this and then solve for R2-R1. 3. Earthquake 1 registered 7.0 on the Richter scale. Earthquake 2 was 3 times stronger than Earthquake 1. What did Earthquake 2 register on the Richter scale? 4. Earthquake 1 measured a 7.0 on the Richter scale. Earthquake 2 registered 5.3. How much more intense was Earthquake 1?
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