The 1906 San Francisco earthquake had a magnitude of 7.9 on the MMS scale. At the same time there was an earthquake with magnitude 5 that caused only minor damage. How many times more intense was the San Francisco earthquake than the South American one?
What is formula for relationship between MMS scale and intensity? {[Logarithmic]
log(A/B)
The way I was trying to solve it is 10^R = Richter scale 10^7.9/10^5 = 10^2.9 = 794.33 but I am wrong
I don't like this question. Tokyo just had an earthquake -_- bad taste whoever wrote this
I think I have part of the answer but I am not sure how to determine how much stronger it is.
\(\LARGE dE = 10^{\frac{3}{2}(m_1 - m_2)} \) dE = difference in energy \(m_1\), \(m_2\) = intensities of earthquakes
I got that far but I need to figure out how much more intense the first earthquake is from the second earthquake. Is there another formula?
Substitute the variables with numbers and solve for dE. \(m_1 = 7.9\), \(m_2 = 5\)
I am trying to figure out how to enter it on the calculator.
TI-83
7.9 - 5 = 2.9 1.5 * 2.9 = 4.35 10^4.35 = 22,387
I put it in as 10*1.5^(7.9-5)
It returns 32.4089269
I am probably off with the ()
This is what it should be: 10^[1.5*(7.9-5)]
On the calculator, I put (10^(1.5)*(7.9-5))
I have a difficult time to get it right on the calculator so need all the practice
No.
Put parentheses around the entire exponent part. 10^(1.5*(7.9-5))
5623.41
It should be 22,387
That was my answer a few responses ago.
Yes, I am trying to reproduce your answer on the calculator. Thanks for being patient with me
Do it in two steps. First calculate the exponent. 1.5 * (7.9 - 5) What do you get?
4.35
Great. Now do the power: 10^4.35
22387
That's it.
Ok, so it is not possible to input that in one step on the calculator and come up with the same answer? I often try to put it all in one equation and return the answer
You should be able to.
10^(1.5*(7.9-5)) =
That was it.
I put in an extra parenthesis and that gave me a different answer.
ok
10^(1.5*(7.9-5)
I left off the second parenthesis which is kind of weird.
Thank you for taking the time to help.
You're welcome.
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