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ivann1987 [24]
3 years ago
6

Can you answer this question as soon as possible.

Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0

Answer:

The intensity of the first earthquake is 6.31 times the second one

Step-by-step explanation:

The given formulae is M=log(\frac{I}{S})

Here for both the earthquakes the value of S is same.

Let the Intensity of the first earthquake be I1 and the second be I2.

Given M1=7.5

M2=6.7

Now  M1=log(\frac{I1}{S})------1

M2=log(\frac{I2}{S})-----2

Now subtract 1 and 2 we get

M1-M2=log(\frac{I1}{I2})

I1/I2=10^{M1-M2}

I1=I2(10^{0.8}

I1=I2*6.31

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3 years ago
Read 2 more answers
System of equations 9x+8y=-19 ; 7x+9y=-12
klasskru [66]

Answer:

(-3,1)

Step-by-step explanation:

9x+8y=-19

7x+9y=-12

I'll assume the question is to find the solution to these equations.  The solution will be the point (x,y) where the two lines intersect.  The intersection is the one point that satisfies both equations (the smae value of (x,y) works in both.

We can either solve matematically of graph to find the intersection.  I'll do both, and hope the answers are identical.

<u>Matematically</u>

Rearrange either equation to isolate one of the variables (either x or y).  I'll take the second and isolate x:

7x+9y=-12

7x = -9y - 12

x = (-9y - 12)/7

Now use this definition of x in the other equation:

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9((-9y - 12)/7) + 8y = -19

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-25y = -25

<u>y = 1</u>

If y = 1, then:

9x+8y=-19

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<u>x = -3</u>

<u></u>

<u>The solution is (-3,1)</u>

<u>Graphing</u>

<u></u>

Graph both lines and look for the intersection.  The attached graph shows the lines cross at (-3,1).

The solution, bu both approachjes, is (-3,1)

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2 years ago
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Answer:

(0, 3 )

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To find the y- intercept , substitute x = 0 into f(x), that is

f(0) = 3 × 4^{0} [ note 4^{0} = 1 ]

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3 years ago
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