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.
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
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hi!! please help :) i hope you guys are having a good day/night!!
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
∴ RM = MQ
∵ RM = 4x
∵ MQ = 52
→ Equate them
∴ 4x = 52
→ Divide both sides by 4 to get x
∴ x = 13
∵ P is the mid-point of side QS
→ That means P divide QS into 2 equal parts QP and PS
∴ QP = PS
∵ QP = 9y
∵ PS = 234
→ Equate them
∴ 9y = 234
→ Divide both sides by 9 to get y
∴ y = 26
→ Find the length of each side
∵ RQ = 52 + 52
∴ RQ = 104
∵ QS = 234 + 234
∴ QS = 468
∵ RS = 38 + 38
∴ RS = 76
∴ The length of the sides of Δ QRS are QR = 104, QS = 468, RS = 76
Note: PS = 234 is wrong because it made the length of the sides QS = 468, which could not be because the sum of any 2 sides of a triangle must be greater than the 3rd side. So check it.
The sum of a number, x, and 1/2 is equal to 4. Which set of equations correctly represents x?
Answer:4=1/2x
X=8
Step-by-step explanation:
a size 8 kids shoe measures 9 2/3
Which points on the wave are the trough and the crest?
Answer:
ok
trough is the y
Crest is W
I put a picture for help
Jimmy scored 49 goals in soccer this season.tommy scarred 7 times fewer goals how many goals did tommy score
Solve 2m = 480.6. :)
Answer:
Step-by-step explanation:
2m=460.6
M=230.3
3m+3(m+6)
answer fast please.
Answer: 18
-3m + 3(m + 6)
= -3m + 3m + 18
= 18
Step-by-step explanation:
Find the degree measure of the angle with the given radian measure. (Round your answer to one decimal place.)
Answer:
108 degrees
Step-by-step explanation:
Since we are not given the radian measure. Let the radian measure be 3π/5 rad;
Using the conversion;
πrad = 180°
3π/5 rad = x
Cross mulriply;
π * x = 180 * 3π/5
x = 180 * 3/5
x = 36 * 3
x = 108 degrees
Hence the degree measure is 108 degrees
Note that the same conversion can be used to convert other values in radians
Which expressions have the same value as the product of 0.06 X 3.9?
Circle the letter for all that apply.
A 216 X 0.001
B 0.216 X 0.01
C 21.6 X 0.01
D 2.16 X 0.1
E 216 X 0.01
Determine the equation of the line passing through the point below having the corresponding
slope.
Point: ( - 25, -9)
Slope: m=1/5
Write your answer as an equation in the form
y = mx + b
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!
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%
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:
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Answer:
10%
Step-by-step explanation:
I'll give brainliest hurry
Answer:
p
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?
Answer:
144? or 126 sorry
Step-by-step explanation:
What is an equation of the line that passes through the points (-4,-4) and (4,6), answer in fully reduced form.
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
There are 30.48 centimeters in 1 foot. About many feet are equivalent to 500 centimeters?
Answer:
I think the answer is 16.4042. I hope this helped:D
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
What is the value of 1/60?
Answer:
1/6
Step-by-step explanation:
Answer:
C. 1
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
Answer:
there is only one solution.
Step-by-step explanation:
hope this helps!
What life insurance policy never expires?
Answer:
whole life insurance
Step-by-step explanation:
Answer:
Term life insurance and Universal life
Step-by-step explanation:
Explain how to convert 6 feet into meters.
Answer:
1.8288 google feet to meter conversion
Step-by-step explanation:
1 foot is 0.3048 meters
1.8288 is the answer i hope
evaluate -3 - (-4) - (-2) + 1
Answer:
4
Step-by-step explanation:
-3 - (-4) - (-2) + 1
-3 + 4+ 2 +1
1 +2+1
2 + 2
4
Domino's offers the following “deals”:
Deal #1: $10 for one large pizza and $5 for each additional large pizza on the same order.
Deal #2: $6.00 per large pizza
What equation can we use to graph a line showing the different pizza deals?
Answer: Deal one: 5x+10
Deal two: 6x
$6 notebook; 50% off; 7% tax
Answer: The notebook is worth 2.79
Step-by-step explanation: Let's start off with taking 50% off of 6, which is 3$. Now we need to do 7% of 3:
7 x 3 = 21
21 / 100 = 0.21
3 - 0.21 = 2.79
Hope this helps :)
Abigale drove 20 kilometers in 10 minutes, and Jordan drove 30 kilometers in 15 minutes.
Both Abigale and Jordan drove at a constant speed.
Did Abigale and Jordan drive at the same speed? Explain your reasoning.
Answer:
15
Step-by-step explanation: 20+10+3+30 =30
A ratio of 3 erasers and 6 pencils could be expressed as 3:6. If the number of erasers is represented by white circles and the number of pencils is represented by black circles, which is a correct representation of the ratio?
Answer:
It'd be C.
There are 3 erasers shown and 6 pencils and to simplify the given ratio it would be 1:2
So the third representation would be the one that made the most sense.
Answer:
Option 3
Step-by-step explanation:
Ratios can be written as fractions, so 3:6=3/6. That can be simplified to 1/2, 1:2. That mesns for every eraser, there are two pencils. If white circles are erasers and black circles pencils, the correct answer will be the answer with one white circle and two black circle in each group. So the correct answer will be the third one.
Find the slope of regular AB, and make sure you reduce the fraction to simpelist form
Answer:
The slope is 1/2.
Step-by-step explanation:
Kylie is 59.54 inches tall. Her friend Adam is 1.37 inch taller than she is. How tall is
Adam?
A 58.17 inches tall
B 60.85 inches tall
C 60.91 inches tall
D 70.35 inches tall
Irene can snap 48 times in 8 minutes at a constant rate. How many
times can she snap in 9 minutes?
Answer:
54 times in 9 mins.
Step-by-step explanation:
divide 48/8 = 6
6 times 9 = 54
How is the square root calculated using the Newton-Raphson method?
no answer needed, just take the points, I have the answer.
Step-by-step explanation:
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Answer:
thanks for the points
Step-by-step explanation:
jdkdhdbkejebejeejjejebsbehehs
What is the point slope form for (2,0)(4,6)
Answer:
0-y=3/4(x-2)
Step-by-step explanation:
A pond contains 110 fish, of which 20 are carp. If 10 fish are caught from the lake, what are the mean and variance of the number of carp among those 10?
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
Read more about mean and variance at:
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