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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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I forgot how to do this​
adoni [48]

Answer:

\boxed{ \bold{  \huge{ \boxed{ \sf{1}}}}}

Step-by-step explanation:

\sf{ \frac{1}{2}  \times 2}

Multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

\dashrightarrow{ \sf{ \frac{1 \times 2}{2 \times 1} }}

\dashrightarrow{ \sf{ \frac{2}{2} }}

\dashrightarrow{ \sf{1}}

Or, You can simply reduce the fraction with 2, which results to 1.

Hope I helped!

Best regards! :D

6 0
3 years ago
Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).
Advocard [28]
1. find equation

general solutions are:
y = a x^{2} +bx +c \\ \\ \frac{dy}{dx} = 2ax +b

for P(0,-11)

-11 = 0a + 0b +c ⇒c = -11

for p(1,-13)
-13 = 1a + 1b -11 \\ a+b = -2

and

0 = 2a + b \\ b = -2a

solve for a and b:
a - 2a = -2 \\ a = 2 \\ b = -4

the total equation is now:

y = 2 x^{2} -4x -11

To find the x-intercept set y=0 and solve for x

0 = 2 x^{2} -4x-11
4 0
3 years ago
Read 2 more answers
What description represents the expression 3x+4
spayn [35]

Answer:

The sum of three times a number and 4

7 0
3 years ago
Read 2 more answers
Ron and amie opened an educational savings account for their daughter when she was born making a $5,000 initial investment. They
Arlecino [84]

Interest rate= 0.083%

Step-by-step explanation:

Principal= $5000 Amount= $10000 Time period= 12 years

A=Amount, P= Principal, I= Simple Interest r= Rate of interest t= Time period

A= P+ I\\10000= 5000+ I\\I=10000-5000=5000\\I=Prt\\5000=5000*r*12\\r=5000/5000*12\\r=5000/60000\\r=0.083

6 0
2 years ago
Linda is sending out cards.If envelopes come in boxes of 25 and stamps come in packs of 10,what is the least number of stamps an
chubhunter [2.5K]
25*2=50
10*5=50
so 2 packets of envelopes and 5 packets of stamps
3 0
3 years ago
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