In 2011, Japan experienced an intense earthquake with a magnitude of 9.1 on the Richter scale. In 2003, Japan experienced another intense earthquake that measured 8.3 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.

Answers

Answer 1

Answer:

The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.

Step-by-step explanation:

To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.

Convert the magnitudes to intensities and write them in exponential form.

R=logI

2011 earthquake:

9.1I=logI=109.1

2003 earthquake:

8.3I=logI=108.3

Form a ratio of the intensities.

intensity for 2011intensity for 2003

Substitute in the values and divide by subtracting the exponents to find

109.1108.3100.8≈6.

The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.

Your answer:

The intensity of the 2011 earthquake was about 15 times the intensity of the 2003 earthquake.

Answer 2

The intensities of the two earthquakes will be 6.3095.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

In 2011, Japan encountered a serious quake with an extent of 9.1 on the Richter scale. In 2003, Japan encountered another extraordinary seismic tremor that deliberate 8.3 on the Richter scale.

The intensity of the earthquake is given as,

㏒ (I₁ / I₂) = M₁ - M₂

㏒ (I₁ / I₂) = 9.1 - 8.3

Simplify the equation, then we have

㏒ (I₁ / I₂) = 9.1 - 8.3

㏒ (I₁ / I₂) = 0.8

Take anti log, then we have

(I₁ / I₂) = 6.3095

The intensities of the two earthquakes will be 6.3095.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2


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Answer:

x = 13, y = 26

The length of the sides of Δ QRS are QR = 104, QS = 468, RS = 76

Step-by-step explanation:

In ΔRQS

∵ M is the mid-point of side RQ

→ That means M divide RQ into 2 equal parts RM and MQ

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∵ RM = 4x

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→ Equate them

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Jimmy scored 49 goals in soccer this season.tommy scarred 7 times fewer goals how many goals did tommy score

Answers

i do not know how to play soccer but if you are only subtracting 7 from 49, the answer would be 42.

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Which points on the wave are the trough and the crest?


Answers

Answer:

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Crest is W

I put a picture for help

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Answers

Answer:

Mean = 1.82

Variance = 1.365

Step-by-step explanation:

We define X as the random variable that counts the number of the carp fishes that has been caught. Also we assume that all the fishes are equally likely to be caught. In that case we have that X as hypergeometric distribution.

The of the Hypergeometric Distribution and Its variance is given below.

Mean of the distribution = [tex]n*\frac{k}{N}[/tex]

Variance = [tex]\frac{n*k*(N-k)(N-n)}{N^2(N-1)}[/tex]

N= 110

k = 20

n = 10

Upon calculation we get

Mean = [tex]10*\frac{20}{110}[/tex]

          = 1.82

Variance = [tex]\frac{10*20*(110-20)(110-10)}{110*110*(110-1)}[/tex] = 2*90*100/11*11*109 = 1.365

Therefore the mean is 1.82 and variance is 1.365

The mean and the variance of the number of carp are 20/11 and 180/121, respectively

The given parameters are:

Fishes = 110

Carp = 20

The probability of selecting a carp is:

p = 20/110

Simplify

p = 2/11

In a selection of 10 fishes, we have:

n = 10

The mean is:

E(x) = np

This gives

E(x) = 10 * 2/11

E(x) = 20/11

The variance is

Var(x) = E(x) * (1 - p)

So, we have:

Var(x) = 20/11 * (1 - 2/11)

Simplify

Var(x) = 20/11 * 9/11

Evaluate the product

Var(x) = 180/121

Hence, the mean and the variance of the number of carp are 20/11 and 180/121, respectively

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Step-by-step explanation:

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Step-by-step explanation:

There are 30.48 centimeters in 1 foot. About many feet are equivalent to 500 centimeters?

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Answer:

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Step-by-step explanation:

You can use the interactive graph below to find the answer.
\begin{cases} y=x+1 \\\\ y=2x-5 \end{cases}









y=x+1
y=2x−5


Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Exactly one solution

(Choice B)
B
No solutions

(Choice C)
C
Infinitely many solutions

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Answer:

there is only one solution.

Step-by-step explanation:

hope this helps!

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Answers

Answer:

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Step-by-step explanation:

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Using the conversion;

πrad = 180°

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Answers

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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1.8288 is the answer i hope

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Answer:

Step-by-step explanation:

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What is an equation of the line that passes through the points (-4,-4) and (4,6), answer in fully reduced form.

Answers

Use  

y

2

y

2

x

2

x

1

4

9

2

3

=  

5

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

6

Explanation:

the equation of a line in  

slope-intercept form

is.

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

x

m

=

y

2

y

1

x

2

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

4

3

2

=

5

1

=

5

y

=

5

x

+

b

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

b

=

4

10

=

6

y

=

5

x

6

is the equation of lineAnswer:

Step-by-step explanation:

Use  

y

2

y

2

x

2

x

1

4

9

2

3

=  

5

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

6

Explanation:

the equation of a line in  

slope-intercept form

is.

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

x

m

=

y

2

y

1

x

2

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

4

3

2

=

5

1

=

5

y

=

5

x

+

b

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

b

=

4

10

=

6

y

=

5

x

6

is the equation of line

a size 8 kids shoe measures 9 2/3

Answers

What am I suppose to answer?

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slope.
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Write your answer as an equation in the form
y = mx + b

Answers

Answer:

y=1/5x-4

Step-by-step explanation:

So, first we're gonna put this into point slope form, (y-y1)=m(x-x1), then we'll convert it. When you plug the numbers in, you get (y+9)=1/5(x+25)

Then, you simplify!

y= 1/5(x+25)-9

y=1/5x+5-9

y=1/5x-4

Hope this helped!

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Answers

Answer:

4

Step-by-step explanation:

-3 - (-4) - (-2) + 1

-3 + 4+ 2 +1

1 +2+1

2 + 2

4

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Circle the letter for all that apply.
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E 216 X 0.01

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The answer is
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Answer:

p

Step-by-step explanation:

According to the graph below, what percent of the Simpsons’ annual expenses is Federal taxes? A circle graph titled Simpson's Annual Expenses. Federal taxes, 24 percent; State/local taxes, 10 percent; Housing and household, 23 percent; Food, 6 percent; Medical care, 8 percent; Transportation, 11 percent; Recreation, 3 percent; Clothing, 5 percent; Other, 10 percent. a. 10% b. 14% c. 24% d. 34%

Answers

According to the graph, the percentage of the Simpsons’ annual expenses that is Federal taxes is 24%

What is a circle graph?

A circle graph also known as pie chart has a shape of a circle and each section are represented in percentages or degrees

From the question, we have:

Federal taxes = 24%State/local taxes = 10%Housing and household = 23%;Food = 6%Medical care = 8%Transportation = 11%Recreation = 3%Clothing = 5%Other = 10%

The above means that the percentage of the Simpsons’ annual expenses that is Federal taxes is 24%

Read more about circle graphs at:

https://brainly.com/question/24461724

Answer:

10%

Step-by-step explanation:

Allen bought a computer that was 25% off the regular price of $480.
If an 5% sales tax was added to the cost of the computer, what was the total price Allen paid for it?

Answers

Answer:

144? or 126 sorry

Step-by-step explanation:

Find the slope of regular AB, and make sure you reduce the fraction to simpelist form 

Answers

Answer:

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Step-by-step explanation:

Domino's offers the following “deals”:
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Deal #2: $6.00 per large pizza
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Answers

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WILL GIVE BRAINLIEST!!
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Answers

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Step-by-step explanation:

Answer:

C. 1

Step-by-step explanation:

Irene can snap 48 times in 8 minutes at a constant rate. How many
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Answers

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Answer:

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Step-by-step explanation:

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