Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
To solve the problem of calculating the magnitude [tex]\( M \)[/tex] of an earthquake with an intensity 10,000 times that of the reference earthquake using the given intensity factor and reference intensity, we need to use the following formula:
[tex]\[ M = \log \left( \frac{I}{I_0} \right) \][/tex]
where:
- [tex]\( I \)[/tex] is the intensity of the earthquake (10,000 times the reference intensity).
- [tex]\( I_0 \)[/tex] is the reference intensity.
Given the values:
- [tex]\( I = 10,000 \)[/tex]
- [tex]\( I_0 = 4 \)[/tex]
We substitute these into the formula:
[tex]\[ M = \log \left( \frac{10,000}{4} \right) \][/tex]
This matches option D.
Therefore, the correct equation to calculate the magnitude of the earthquake is:
[tex]\[ M = \log \left( \frac{10,000}{4} \right) \][/tex]
So the correct choice is:
D. [tex]\( M = \log \left( \frac{10,000}{4} \right) \)[/tex]
[tex]\[ M = \log \left( \frac{I}{I_0} \right) \][/tex]
where:
- [tex]\( I \)[/tex] is the intensity of the earthquake (10,000 times the reference intensity).
- [tex]\( I_0 \)[/tex] is the reference intensity.
Given the values:
- [tex]\( I = 10,000 \)[/tex]
- [tex]\( I_0 = 4 \)[/tex]
We substitute these into the formula:
[tex]\[ M = \log \left( \frac{10,000}{4} \right) \][/tex]
This matches option D.
Therefore, the correct equation to calculate the magnitude of the earthquake is:
[tex]\[ M = \log \left( \frac{10,000}{4} \right) \][/tex]
So the correct choice is:
D. [tex]\( M = \log \left( \frac{10,000}{4} \right) \)[/tex]
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.