Answer:
The energy, 'E', increases by a factor of 1000,000,000
Step-by-step explanation:
The given equation relating moment magnitude of an earthquake and the energy (in ergs) released by it obtained from a similar question online is presented as follows; [tex]M_W = \dfrac{2}{3} \times log_{10} (E) - 10.7[/tex]
Where;
[tex]M_W[/tex] = The moment magnitude
E = The energy
If [tex]M_W[/tex] is increased by 6, we have;
Δ[tex]M_W[/tex] = 6
[tex]\Delta M_W = M_{W2} - M_{W1} = 6[/tex]
From which we get;
[tex]\Delta M_W = M_{W2} - M_{W1} = 6 = \dfrac{2}{3} \times log_{10} (E_2) - 10.7 - \left(\dfrac{2}{3} \times log_{10} (E_1) - 10.7 \right)[/tex]
[tex]6 = \dfrac{2}{3} \times log_{10} (E_1) - 10.7 - \left(\dfrac{2}{3} \times log_{10} (E_2) - 10.7 \right) = \left(\dfrac{2}{3} \right ) \times \left ( log_{10} (E_2) - log_{10} (E_1) \right)[/tex]
[tex]6 = \left(\dfrac{2}{3} \right ) \times \left ( log_{10} (E_2) - log_{10} (E_1) \right) = \left(\dfrac{2}{3} \right ) \times log_{10} \left( \dfrac{E_2}{E_1} \right)[/tex]
[tex]6 = \left(\dfrac{2}{3} \right ) \times log_{10} \left( \dfrac{E_2}{E_1} \right)[/tex]
[tex]log_{10} \left( \dfrac{E_2}{E_1} \right) = 6 \times \left(\dfrac{3}{2} \right ) = 9[/tex]
Therefore;
[tex]\dfrac{E_2}{E_1} = 10^9[/tex]
E₂ = E₁ × 10⁹ = 1000,000,000 × E₁
Therefore, when the moment magnitude, [tex]M_W[/tex], increases by 6, the energy increases by a factor of 1000,000,000
Which expression is equivalent to the expression shown?
Answer:
option 3
Step-by-step explanation:
[tex]Formula : a^{-x} = \frac{1}{a^x}[/tex]
[tex]3^7 \times 3^{-4} = 3^7 \times \frac{1}{3^4}[/tex]
What is the weight of a science book if its mass is 250g
2.45 N
weight = mass x 9.8 m/s^2
Answer:
Here,
Mass ( m ) = 250g = (250/1000) kg =0.25 kg
g =9.8 m/s^2
Weight ( W ) = ?
We know that,
Weight ( W ) = m*g [Where g is acceleration due to gravity]
= (0.25*9.8) N
= 2.45 N
Hope it helps!
8 out of every 14 children in a school are boys. What is the ratio of boys to girls in the school?
Answer:
8:6
Step-by-step explanation:
If 8 out of 14 students are boys then the remaining number of students must be girls
So
14-8= 6
There are 6 girls out of the 14
So as a ratio of boys to girls
8:6
Answer:
8 : 6 <or> 4 : 3
Step-by-step explanation:
8 : 6 <or> 4 : 3
Since there are 8 boys out of 14, if you minus them , the answer will be the number of girls out of 14.
quick please !!!!!!! urgent need it now
Answer:
180 seconds or 3 minutes
Step-by-step explanation:
you need to find the least common multiple
Which graph represents the solution set of the inequality x+2> 6?
Answer:
Hi, there the answer C because in the inequality there is a line underneath it means the dot has to be closed
Step-by-step explanation:
Someone please help me
Select the numbers that make the inquality true. selct all that apply. m > 0
A. 0
B. 1
C. 2
D. 3
E. - 1
Answer:
1, 2, 3
Step-by-step explanation:
Help me please quickly
Answer:
well it's technically 23.66, but I guess you can round it up to 24
Factorize the following 3x + 12
Answer:
if this was a equation you would first subtract 12 from the other number then divide it by 3
Answer:
3(x+4)
Step-by-step explanation:
Check 3(x+4), when you use the distributive property, you get 3x + 12, so this is correct. (sorry, I'm really bad at explaining...)
Which of the following is not a real number?
O A. Squared root of 1
B. Squared root of 13
C. Squared root of 16
D. Squared root of -4
Answer:
D: √(-4)
Step-by-step explanation:
D: √(-4) is not a real number; it's an imaginary one.
Of the possible outcomes in the sample space, how many times does the event of rolling a multiple of two occur?
Answer:
dont know you know
Step-by-step explanation:
maybe try ask some one else i dont know
Answer:
The event of rolling a multiple of two occurs three times: rolling a two, four, or six.
Step-by-step explanation:
Plato/edmentum sample answer
6 rational numbers between -2/3 and 1/2
Answer:
-0.5, -0.4,-0.3,-0.2,-0.1 and 0.1
Step-by-step explanation:
We have to calculate 6 rational number between -2/3 and 1/2
So,
[tex]\frac{-2}{3} =-0.6\\\frac{1}{2} =0.5[/tex]
Now,
Rational numbers between -2/3 and 1/2 will be -0.5, -0.4,-0.3,-0.2,-0.1 and 0.1
is this right im confused
Si compraste 0.5mts de alambre grueso con un costo de 4.00 pesos por metro y 0.4 más de alambre delgado con un costo de 5.00 pesos por metro ¿cuanto fue el costo total en la compra de los metros de alambre
Answer:
El costo total es 4 $.
Step-by-step explanation:
Sabemos que el metro de alambre grueso cuesta 4 pesos y el metro de alambre delgado cuesta 5 pesos.
Entonces:
Costo de alambre grueso
[tex]0.5\: m*4\frac{\$}{m}=2\: $[/tex]
Costo de alambre delgado
[tex]0.4\: m*5\frac{\$}{m}=2\: $[/tex]
Por lo tanto, el costo total es 4 $.
Espero te haya sido de ayuda!
Write the equation of the line that passes through the points (-3, - 5) and (-9,3). Express your answer in
simplest y = mx +b form.
that's the answer
Step-by-step explanation:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{3 - - 5}{ - 9 - - 3} = \frac{8}{ - 6} \\ \frac{y - 3}{x - - 9} = \frac{8}{ - 6} \\ - 6(y - 3) = 8(x - - 9) \\ - 6y + 18 = 8x + 72 \\ - 6y = 8x + 72 -18 \\ - 6y = 8x + 54 \\ \frac{ - 6y}{ - 6} = \frac{8x}{ - 6} + \frac{54}{ - 6} \\ y = \frac{8x}{ - 6} - 9 [/tex]
A batch of granola uses 2 cups of honey to make 24 servings.
How much honey is needed to make 42 servings?
Add 10 to the product of z and 7
What would be the expression
Answer:
10 + 7z
Step-by-step explanation:
the product of z and 7 is
7z
adding 10 to the expression would be
10 + 7z
The required expression is the binomial 7z+10
What is a polynomial expression?Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11
Given here: The statement " Product of z and 7 added to 10"
Now the product of z and 7 is given by 7z
Now adding 10 to the monomial we get
7z+10
Thus the result is a binomial
Hence, The required expression is the binomial 7z+10
Learn more about the polynomial expression here:
https://brainly.com/question/11536910
#SPJ2
What is the number of gallons
A.3.5 gallons
B.3 gallons
C.4.5 gallons
D.1.5 gallons
Answer:
B. 3 gallons
Step-by-step explanation:
If two gallons cover 800, divide in half to get one gallon. One gallon would be 400. 400 goes into 1200 three times, so thats how many gallons you need.
Hong has worked as a nurse at the hospital for 5 years longer then her friend Bill and 2 years ago she been there twice as long as him how long has they both been there
Answer:
Hong 12 bill 7
Step-by-step explanation:
answer is in photo above
An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. Choose the correct interpretation for the 98% confidence interval for the population proportion.
a. We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
b. We are 98% confident the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
c. In 98% of all samples, the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
d. The proportion of adults in the United States who believe it more enjoyable to be married than single is between 0.7250 and 0.7770.
Answer:
(a). We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
Step-by-step explanation:
According To the Question,
Given, An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. The interpretation for the 98% confidence interval for the population proportion is in Option A.A motorboat moves across a lake at a constant speed. When it begins it is 64 km from shore after 17 mins it is 30km from shore which function describes the motorboat distant from shore
Step-by-step explanation:
I think it is either 28⅛ or 60
I'LL MARK BRAINLIEST !!!
A temperature was 5º on Monday. On Tuesday, the temperature was -4º. What is the difference of the two temperatures?
Answer:
WHEN YOU COMPARE THE TEMPERATURE ON MONDAY TO THE TEMPERATURE ON TUESDAY, THE TEMPERATURE ON TUESDAY IS COLDER.
4(2.25w+3.1)-2.75w=44.9
Answer:
w = 5.2
Step-by-step explanation:
4(2.25w + 3.1) - 2.75w = 44.9
9w + 12.4 - 2.75w = 44.9
6.25w + 12.4 = 44.9
6.25w = 32.5
w = 5.2
4(2.25w+3.1)-2.75w=44.9
9w+12.4-2.75w=44.9
9w-2.75w+12.4=44.9
44.9-12.4=32.5
9w-2.75w=32.5
6.3w/6.3=32.5/6.3
=5 10/63
PLEASE HELP AND EXPLAIN!
A. y=60x
B. y=80x
C. y=10x
D. y= 6x
9514 1404 393
Answer:
C. y = 10x
Step-by-step explanation:
Two points are marked on the graph of Bike B. One of them is ...
(time, distance) = (x, y) = (6, 60)
It should be pretty easy to see that the value of y is 10 times the value of x. This is represented in the equation ...
y = 10x
what is the mean absolute deviation for the following(you don't need to show work): 7 6 8 5 1 6, 7 9 6 4 5 4, 4 5 6 6 9 2 3.
Answer:
the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
Here's how to calculate the mean absolute deviation.
Step 1.Calculate the mean.
Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.
Step 3: Add those deviations together.
Step 4: Divide the sum by the number of data points.
Following these steps in the example below is probably the best way to learn about mean absolute deviation, but here is a more formal way to write the steps in a formula:
\text{MAD}=\dfrac{\sum{\lvert x_i-\bar{x} \rvert}}{n}MAD= ∑∣ xi -x /n
start text, M, A, D, end text, equals, start fraction, sum, open vertical bar, x, start subscript, i, end subscript, minus, x, with, \bar, on top, close vertical bar, divided by, n, end fraction
Example
Erica enjoys posting pictures of her cat online. Here's how many "likes" the past 666 pictures each received:
10, 15, 15, 17, 18, 21
Find the mean absolute deviation.
Step 1: Calculate the mean
The sum of the data is 96 total "likes" and there are 6 pictures.
\text{mean}=\dfrac{96}{6}=16
mean= 96/6=16
start text, m, e, a, n, end text, equals, start fraction, 96, divided by, 6, end fraction, equals, 16
The mean is 16
Step 2: Calculate the distance between each data point and the mean.
Data point Distance from mean
10 |10-16|=6
15 |15-16|=1
15 |15-16|=1
17 |17-16|=1
18 |18-16|=2
21 |21-16|=5
Step 3: Add the distances together.
6+1+1+1+2+5=16
Step 4: Divide the sum by the number of data points.
\text{MAD}=\dfrac{16}{6}\approx2.67MAD=
MAD=16/6 =2.67 Likes
On average, each picture was about 333 likes away from the mean.
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
Distributive property
Step-by-step explanation:
2*( 15-18)
Distribute the 2 to each term inside the parentheses
2*15 - 2*18
Answer:
distributive property
Step-by-step explanation:
distributive property because what's inside the parenthesis is distributed with 2.
Hope this helps
What is the slope of a line passing through the points (3,9) and (5,10)?
Answer:
1 / 2 or 0.5
Step-by-step explanation:
use the formula ; m = y2 - y1 / x2 - x1
where y2 = 10
y1 = 9
x2 = 5
x1 = 3
The probability of spinning an odd number, flipping heads and then spinning a 3 is?
===================================================
Work Shown:
A = probability of landing on an odd number
A = 5/9 because there are 5 odd numbers out of 9 total
B = probability of getting heads
B = 1/2
C = landing on 3 on the spinner
C = 1/9
Multiply the values of A,B,C
A*B*C = (5/9)*(1/2)*(1/9) = (5*1*1)/(9*2*9) = 5/162
Note: The fraction 5/162 converts to the approximate decimal 0.03086 which then converts to 3.086%, when rounding to the nearest tenth of a percent we get 3.1%
Find the 6th term of the geometric sequence whose common ratio is 2/3 and whose first term is 4
Find the sum of the first 10 terms of the following series, to the nearest integer.
40, 32, 128/5,...
,...
Answer:
answer for this solution is 179
Answer:
the answer is 175 for this solution
