The Richter scale magnitude reading m is given by m=log10x , where x represents the amplitude of the seismic wave causing ground motion. Determine the reading of an earthquake that is 10 times less intense than an earthquake that measures 4.5 on the Richter scale.

Answers

Answer 1

Answer: The reading would be 5.5 on the Richter scale.

Step-by-step explanation:

The intensity of an earthquake that measures 4.5 on the Ritcher scale can be found by solving:

4.5 = log₁₀(x)

for x.

remember that:

logₐ(x) = ln(x)/ln(a)

Then we can rewrite our equation as:

4.5 = ln(x)/ln(10)

4.5*ln(10) = ln(x)

we also know that:

ln(exp(x)) = exp(ln(x)) = x

Then we can apply the exponential equation to both sides to get:

exp( 4.5*ln(10)) = exp( ln(x) ) = x

exp( 4.5*ln(10)) = x

x = 31,622.8

Now, if we have an intensity 10 times larger than this, we will have:

x = 10*31,622.8 = 316,228

The reading on the Richter scale will be:

m = Log₁₀(316,228) = 5.5


Related Questions

Daysi buys a video game on sale. If the video usually costs $30.00, and it
was on sale for 25% off, how much did Daysi pay?

Answers

Answer:

$22.5

Step-by-step explanation:

The original price is $30 and it's on sale for 25% off.  Since 25% is a quarter of the total price, I divided 30÷4=7.5.  $7.5 is 25% of $30, so 7.5 is the amount taken off the original price.  To find what Daysi paid, I subtracted 30-7.5=22.5.  $22.5 is the result after the 25% off, so Daysi paid $22.5.  

Solving Systems using tables

Mikayla put $212 in a savings account at the beginning of the year. At the end of each month, she withdrew $12 from her account. Mathew put $30 in his savings account at the beginning of the year. At the end of each month, he deposited $14 in his account. Let x represent the number of months which have passed and y represent the amount in each savings account.

A. Write an equation to represent the amount in Mikayla’s savings account.

B. Write an equation to represent the amount in Matthew’s savings account.

C. Below make an input-output tables that show the amount in each account for the first 8 months

D. When will Mikayla and Matthew have the same amount in their accounts?


Mikayla Matthew
X Y X Y
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8

Answers

Answer:

i hope this helps

Step-by-step explanation:

3% is the interest rate. Using the formula I=PRT, you can simply derive the rate by putting the given numbers in.

I = 450P = 3,000R = ?T = 5 Years

The equation now goes,450 = 3,000 * R * 5450 = 15,000 * R450/15,000 = R0.03 = R

multiply it by 100,

R = 3%

35
53"
X
Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

x = 26.4

Step-by-step explanation:

Here, we want to get the value of x

To get this, we are to use the appropriate trigonometric ratio

From the question, we have the opposite and the adjacent

The trigonometric ratio to use in this case is the tangent

Mathematically;

Tan 53 = 35/x

x = 35/tan 53

x = 26.37

which is 26.4

what is the difference between associative property,communitive property,and distributive property? (will mark brainliest)

Answers

Answer:

Commutative switches the numbers, while associative keeps the numbers positions but changes the parentheses. I hope that helped

The associative property only changes the grouping and keeps the same order. Example- (2+3)+(4+5) -> 2+(3+4)+5
The communities property changes the order only. Example- 3+2 -> 2+3
The distributive property distributes the number from the outside of the parenthesis to the numbers inside
Example- 4(5+3) so you distribute the 4 to the 5 and 3 by multiplying. The answer would be 20+12
I hope this helps :))

The graph shows the temperature y in a freezer x minutes after it was turned on. Five minutes after
being turned on, the temperature was actually four degrees from what the trend line shows. What
values could the actual temperature be after the freezer was on for five minutes?
Click the icon to view the graph of the freezer temperature versus time.
Select all that apply.
DA. 0°F.
OB. 32°F
C. 25°F
OD. 18°F
E. 21°F
OF. 29°F
Click to select your answer(s).
Question 7
of 8
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Answers

Answer:29

Step-by-step explanation:

value of -2 ( x + 5 )

Answers

(-2x - 10)

i am smart

Do you agree with the rules of the council on tall buildings and urban habitat regarding spires and antennae? Are the Petronas towers really taller than the Sears tower?

Answers

Answer:

Yes, I agree

The Petronas Towers are taller than the Sears tower

Step-by-step explanation:

The rule regarding spires and antenna of the Council on tall buildings and Urban Habitat states that "an antenna is just functional - something with a technical purpose stuck on the top of a building after it is finished while spires are considered a continuation of the form of the building.

According to the Council, the Petronas Towers are taller than the Sears Tower because spires are included in a building's architecture while antennae are not.

The architectural height of the Petronas towers is 1,483ft

The architectural height of the Sears (now Willis) tower is 1,450ft

Find the
common factors of 5x²y and - 3x​

Answers

The common factor of 5x2 is y5x

PLS SOMEONE HELP MEEE​

Answers

Answer:  20

Explanation:

Answer:20



Explanation:

What is CD equaled to ?

Answers

Answer:

10

Step-by-step explanation:

cd being the longer segment is equal to 2/3s of 15.

Answer:

C D equals 6 So your answer is =6

Step-by-step explanation:

If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a two?

Answers

Answer:The best prediction is 1/6 of the times or one time of the six that you will roll a two..

This is because without any interference, each of the six numbers of the dice will have same theoretical probability (which is the probability or chances that is expected.

What is the solution to the equation −4(2y − 4) − 4y = 4? (put number answer only)

Answers

-8y + 16 - 4y = 4
-12y + 16 = 4
-12y = -16
Y = 1.3333333

Answer:

y=1

Step-by-step explanation:

Let's solve your equation step by step.

Step 1: Simplify both sides of the equation.

−4(2y−4)−4y=4

(−4)(2y)+(−4)(−4)+−4y=4(Distribute)

−8y+16+−4y=4

(−8y+−4y)+(16)=4(Combine Like Terms)

−12y+16=4

−12y+16=4

Step 2: Subtract 16 from both sides.

−12y+16−16=4−16

−12y=−12

Step 3: Divide both sides by -12.

y=1

subtract x^2 - 2x - 6 from -6x + 5

Answers

Answer:

x^2+4x-11

Step-by-step explanation:

x^2 - 2x - 6 - (-6x + 5)

x^2-2x-6 +6x - 5

x^2 +4x -11

652 students attend Tippett Middle School. 49% live less than three miles from school. About how many students is this? Round your answer to the nearest WHOLE NUMBER.

Answers

Answer: 319 students

Step-by-step explanation:

There are 652 kids and 49% of them live less than three miles from school.

In a whole number this will be:

= 49% * 652

= 49/100 * 652

= 319.48

= 319 students

What is the common ratio of the geometric
sequence below?
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Answers

2
Hope this helps!!!!

Please help due now in 10mins please I’m beg you

Answers

Answer:

Step-by-step explanation:

a. f(x)=3x+10

b. $112

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Answers

Answer:

51

Step-by-step explanation:

Find the missing values

Answers

I FOUND THEM THEY ARE HIDING IN THE CLOUDS.

help me asap ill give brainliest

Answers

Answer:

-6, -2, 1, 8

Step-by-step explanation:

Answer:

-6, -2, 1, 8

Step-by-step explanation:

Negatives have less value than positives, so that's why the negatives go first in the answer.

What is the temperature, in degrees Fahrenheit, shown on the thermometer above to the nearest integer?

Respond in the space provided.

Answers

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Step-by-step explanation:

Formula

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What is the constant in the
expression below?
15 – 4b
A
B
С

Answers

Answer:

15 is the constant

Step-by-step explanation:

Does not have a variable next to it which means it remains a constant

Can anyone help me with this??

Answers

Answer:

find the cordinates of each letter or number then find witch is greater or less than when your answering it

Step-by-step explanation:

Help :(((((((((;;;;; I NEED HELP W MATH

Answers

Answer:

p = 6

Step-by-step explanation:

p/15 = 4/10

*cross multiply*

p*10 = 15*4

10p=60

*divide to get p alone*

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Step-by-step explanation:

3 2/3 is 3.6666 while √11 is 3.32

Please help. Picture is attached below. Thank you! :) Will give brainliest!!

Answers

Answer:

e = 2

Step-by-step explanation:

Hope this helps! ///////////////////////

7(2e - 1) - 3 = 6 + 6e =

14e - 7 - 3 = 6 + 6e =

14e - 10 = 6 + 6e

-6e               -6e

8e - 10 = 6

    + 10  + 10

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e = 2

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Answers

Answer:  1. у %3 2х

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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brainly and 50 points if you answer right because this is my writing prompt from my math class.

Take a look at the Ccenario given your friend needs help. so how would you explain what to do? what are some possible mistakes your friend might make? remember to explain in complete sentances.
fatima paid for 5 pallets of grass to be deliverd.
each pallet of grass cost $129.95.
fatima paid $76.20 for delivery.
what is the total amount fatima paid?
pls help ​

Answers

Answer:

$725.95

Step-by-step explanation:

Given

Cost of each pallet = $129.95Number of pallets = 5Delivery cost = $76.20

Total cost is:

5*$129.95 + $76.20 = $725.95

somebody please help me in this question, I’ll give you brainlyest and giving you 20 points :)

Answers

Answer:

Step-by-step explanation:

Noice....

6(2y+6)=4(9+3y)

divide both sides by 2

6(2y+6) / 2 = 4(9+3y) / 2

then after simplification

3(2y+6) = 2(9+3y)

6y + 18 = 18 + 6y

w t hell

it cant be solved

it can be but i think its misprinted

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