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Hitman42 [59]
3 years ago
12

Which equation represents the magnitude of an

Mathematics
1 answer:
Basile [38]3 years ago
3 0

Answer:

M=\log{(100S)}

Step-by-step explanation:

The <em>Richter scale</em>, the standard measure of earthquake intensity, is a <em>logarithmic scale</em>, specifically logarithmic <em>base 10</em>. This means that every time you go up 1 on the Richter scale, you get an earthquake that's 10 times as powerful (a 2.0 is 10x stronger than a 1.0, a 3.0 is 10x stronger than a 2.0, etc.).

How do we compare two earthquake's intensities then? As a measure of raw intensity, let's call a "standard earthquake" S. What's the magnitude of this earthquake? The magnitude is whatever <em>power of 10</em> S corresponds to; to write this relationship as an equation, we can say 10^m=S, which we can rewrite in logarithmic form as m=\log{S}.

We're looking for the magnitude M of an earthquake 100 times larger than S, so reflect this, we can simply replace S with 100S, giving us the equation

M=\log{(100S)}.

To check to see if this equation is right, let's say we have an earthquake measuring a 3.0 on the Richter scale, so 3=\log{S}. Since taking 100 times some intensity is the same as taking 10 times that intensity twice, we'd expect that more intense earthquake to be a 5.0. We can expand the equation M=\log{(100S)} using the product rule for logarithms to get the equation

M=\log{(100S)}=\log{100}+\log{S}

And using the fact that \log{100}=2 and our assumption that \log{S}=3, we see that M=2+3=5 as we wanted.

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(4+5)-2 thxs for answering!!!!!!!!!!!!!!
Arisa [49]

Answer: 7

Step-by-step explanation:

(4+5)-2

You can either remove brackets and just do a little addition and subtraction.

4+5-2

9-2\\7

So the answer is 7.

Or just finish things inside the brackets first.

(4+5)-2\\9-2\\7

So the answer is 7.

3 0
3 years ago
Anyone know how to solve this?
yuradex [85]

Answer:

<h2>\frac{16}{25}</h2>

Step-by-step explanation:

<h3>( -  \frac{4}{5})^{2}</h3><h3>{( - 1)}^{2}  \frac{ {4}^{2} }{ {5}^{2} }</h3><h3>1 \frac{ {4}^{2} }{ {5}^{2} }</h3><h3>\frac{ {4}^{2} }{ {5}^{2} }</h3><h3>\frac{16}{25}</h3><h3>Hope it is helpful....</h3>
5 0
3 years ago
Can you help me I will give you brainiest answer
Gemiola [76]
The first one is 20 and the second one is 19 and the third one is 25 and the fourth one is 15 and the fifth one is 11 and the sixth one is 28
5 0
2 years ago
The measures angles of hexagon are 4x, 5x, 6x, 7x, 8x and 9x. calculate the size of the largest angle.​
ankoles [38]

Answer:

rounded to the nearest whole number = 166

Step-by-step explanation:

Add all of the angles together, to get 39x. In a hexagon, all the angles add up to 720. Divide 720 by 39 to get x, then multiply x by 9, as that is the largest angle to get an answer rounded to the nearest whole number of 166.

If you found this answer helpful, I would appreciate it if you gave me brainliest :D

8 0
2 years ago
QUESTION:<br>12+ 15 = 3x6 - 4​
FromTheMoon [43]

Answer:

14

Step-by-step explanation:

6 0
3 years ago
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