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Olenka [21]
3 years ago
14

The intensity of an earthquake with a magnitude of 2 is how many times greater than the intensity of an a standard earthquake ?

Mathematics
1 answer:
Ksju [112]3 years ago
6 0

Answer:  

The intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.

Explanation:  

The magnitude of earthquakes is given by

Magnitude=log\frac{I}{S}

2=log\frac{I}{S}\\

Where I is the intensity of earthquake and S is the intensity of standard earthquake.

The magnitude of standard earthquakes is given by

Magnitude=log\frac{S}{S}= log(1) = 0

So comparing the magnitude of the given earthquake and standard earthquake,

log\frac{I}{S} = log\frac{S}{S}

log\frac{I}{S} - log\frac{S}{S}

log(2) - log(1)

2 - 0

2

which means that

10^2 = 100 times greater

Therefore, the intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.

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Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

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