Complete the following statement.<br><br> 16 fl oz = pt

In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2010, Haiti also experienced a

serg [7]

Answer:

The intensity of the earthquake in Chile was about 16 times the intensity of the earthquake in Haiti.

Step-by-step explanation:

Given:

magnitude of earthquake in Chile = 8.2

magnitude of earthquake in Haiti = 7.0

To find:

Compare the intensities of the two earthquakes

Solution:

The magnitude R of earthquake is measured by R = log I

R is basically the magnitude on Richter scale

I is the intensity of shock wave

For Chile:

given magnitude R of earthquake in Chile = 8.2

R = log I

8.2 = log I

We know that:

$y = log a_{x}$ is equivalent to: $x = a^{y}$

$R = log I$

8.2 = log I becomes:

$I = 10^{8.2}$

So the intensity of the earthquake in Chile:

$I_{Chile} = 10^{8.2}$

For Haiti:

R = log I

7.0 = log I

We know that:

$y = log a_{x}$ is equivalent to: $x = a^{y}$

$R = log I$

7.0 = log I becomes:

$I = 10^{7.0}$

So the intensity of the earthquake in Haiti:

$I_{Haiti} = 10^{7}$

Compare the two intensities :

$\frac{I_{Chile} }{I_{Haiti} } }$

$= \frac{10^{8.2} }{10^{7} }$

= $10^{8.2-7.0}$

= $10^{1.2}$

= 15.848932

Round to the nearest whole number:

16

Hence former earthquake was 16 times as intense as the latter earthquake.

Another way to compare intensities:

Find the ratio of the intensities i.e. $\frac{I_{Chile} }{I_{Haiti} } }$

$log I_{Chile}$ - $log I_{Haiti}$ = 8.2 - 7.0

$log(\frac{I_{Chile} }{I_{Haiti} } })$ = 1.2

Convert this logarithmic equation to an exponential equation

$log(\frac{I_{Chile} }{I_{Haiti} } })$ = 1.2

$10^{1.2}$ = $\frac{I_{Chile} }{I_{Haiti} } }$

Hence

$\frac{I_{Chile} }{I_{Haiti} } }$ = 16

6 0

2 years ago

What are the answers to 1 5 3 and 6 really aprreciate it!

Gelneren [198K]

1. y=3/4x-3 (just from a triangle from one point on the line to anotheron the line where both end at a point.
2. y=5/1x which is also y=5x (basically subtract y^2-y^1/ x^2-x^1 ex. -2--7/5-4
3.y=2/3x-1/2
4.-3/-1 which is two negatives dividing which makes it positive. y=3x
5.cant see
6. Find slope first. y=3x then use point (1,1) move one left and 3 down. and the y intercept would be -2

4 0

3 years ago

Solve for m p=3rmv^2

juin [17]

Let’s Solve for m

p=3rmv^2

Step 1 Flip the equation

3mrv^2=p

Step 2 Divde Both Sides by 3rv^2

3mrv^2/3rv^2=p/3rv^2

m=p/3rv^2

ANSWER

m=p/3rv^2

7 0

3 years ago

Which equation can pair with y=3x-2 to create a consistent and independent system?

Ray Of Light [21]

Answer: y=4

Step-by-step explanation: First of all, we have to know what a consistent and independent system is.

Consistent and independent- If a consistent system has exactly one solution, and is independent, then it's consistent and independent

Let's graph the equation y=3x-2 first. The y intercept of the equation is -2 and the slope of the equation is 3. Lets plot the y intercept first, then use rise/run for the slope. We end off with the image of the first one I have attached to this answer.

Next, we can see if that we draw a straight arrow to one of the points in the equation, we will get a independent and consistent system. I picked y=4, but you can pick almost any point that lies within the line.

This will grant only one solution, which will give us what we need. So let's graph y=4. Finally, we have our consistent and independent system! I've attached another file to support my answer.

So the final answer to your question is y=4, the solution to the system is (2,4), as you can see by the last image.

<em><u> Give me feedback on my answer. Tell me if I'm lacking explanation about anything. Please help me, you can also help others by informing me what else I need to be specific on.</u></em>