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Mathematics 9 Online
OpenStudy (yumyum247):

bugatti

OpenStudy (yumyum247):

@imqwerty

imqwerty (imqwerty):

okay 1st thing we have is this formula- \(Magnitude= log_{10}\left(\large \frac{I_1}{I_0}\right)\) \(I_0\) is constant and it denotes he intensity of 0 earthquake

OpenStudy (yumyum247):

yes ser

imqwerty (imqwerty):

2nd- we write down important stuff \(M_e\) =magnitude of earthquake \(I_e\) = intensity of earthquake \(M_a\)=magnitude of aftershock \(I_a\) =intensity of aftershock

OpenStudy (yumyum247):

yes ser

imqwerty (imqwerty):

3rd- we write down the info given to us- "intensity" of earthquake is 39 times the intensity of aftershock so- \(I_e = 39 \times I_a\)

OpenStudy (yumyum247):

yes ser

imqwerty (imqwerty):

4th- for earthquake- \(M_e=log_{10}\left(\large \frac{I_e}{I_0}\right)\) we can write \(I_e\) as \(39 \times I_a\) so \(M_e=log_{10}\left(\large \frac{39 \times I_a}{I_0}\right)\) so \(10^{M_e}= \large \frac{39 \times I_a}{I_0}\) another equation which we can make is- for aftershock- \(M_a= log_{10}\left(\large \frac{I_a}{I_0}\right)\) \(10^{M_a}=\large \frac{I_a}{I_0}\)

imqwerty (imqwerty):

brb reloading

OpenStudy (yumyum247):

yes ser

imqwerty (imqwerty):

okay so now we have 2 equations 1- \(10^{M_e}= \large \frac{39 \times I_a}{I_0}\) and 2- \(10^{M_a}=\large \frac{I_a}{I_0}\) try to solve them to get \(M_a\)

OpenStudy (yumyum247):

yes ser

OpenStudy (yumyum247):

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