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

Select all expressions that are equivalent to 6x + 1 - (3x - 1).

Select one or more:
a. 6x - 3x + 1 - 1
b. 6x + 1 + -3x - -1
c. 6x + -3x + 1 + 1
d. 3x + 2
e. 6x + 1 - 3x - 1

Answers

Answer: B, C, D

Step-by-step explanation:

6x + 1 - (3x -1)

=> 6x + 1 - 3x + 1

=> 3x + 2

So Answers: B, C, D

The expression that should be equivalent to 6x + 1 - (3x - 1) is option B, C, D.

Calculation of the expression:

Since the equation is  6x + 1 - (3x - 1)

So,

6x + 1 - (3x -1)

6x + 1 - 3x - (-1)

6x + 1 -3x + 1

And, 3x + 2

Therefore, we can conclude that The expression that should be equivalent to 6x + 1 - (3x - 1) is option B, C, D.

Learn more about an expression here: https://brainly.com/question/1673286

Find the surface area of the composite figure.

Answers

70 ......................................

please help me with this​

Answers

Answer:

a=8/2 b=9/4 c=13/5

2. Tadashi and his friend Abel make 18 dumplings. Tadashi eats one third, and Abel eats the rest. How many dumplings did Abel eat?​

Answers

Answer:

12

Step-by-step explanation:

18/3=6

so Tadashi ate 6 dumpling; the other 12 Able ate

Answer:

12

Step-by-step explanation:

Sine Tadashi eats one third, you have to divide the total amount of dumplings by three.

18/3=6

Tadashi eats 6 dumplings, so to find out how many Abel eats you have to subtract 6 from the total number of dumplings.

18-6=12

Abel ate 12 dumplings

find the perimeter please!

Answers

Answer:

40 units

Step-by-step explanation:

3+10+3+4+6+(unknown side: 10+4=14) = 40 units

Answer:

The perimeter would be 38 units.

Explanation:

Add up all sides. 3+10+3+4+6= 24 now we solve for x which is the unmarked side. You would add both of the top lines to find your answer. 10+4= 14. Now add up both totals, 24+14= 38 units as your final answer.

You purchase a new shirt that cost $15.00. Sales tax is added at the register at a rate of 8%. How much sales tax will be added to the cost of the shirt when you pay for it.

Answers

Answer:

16.2 U.S. Dollars  -  I hope this helps! :D

Step-by-step explanation:

Given the graph below, the equation in slope-intercept form is

Answers

Answer:

F(x)=-1x-5

Step-by-step explanation:

The line goes one down for every one to the right. and the line intersects at -5 on the y-axis.

Divide -4/17 by -3/4

Answers

Answer:

16/51

Step-by-step explanation:

simplify -4/7 divided by -3/4

then you will get -16/51 but you have to add the rule so its 16/51

I hope this is the correct answer

Let u= <-6,3>, v=<1,9>. Find u-v

Answers

Answer:

??????????????

Step-by-step explanation:

Ummm is that a equation??? If so ill try.....

(-6,3)-(1,9)= (-8,2)

(-6,3)+(1,9)= (-4,4)

Write the equation of a line that goes through (4,3) and has a slope of m=2

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, then

y = 2x + c ← is the partial equation

To find c substitute (4, 3) into the partial equation

3 = 8 + c ⇒ c = 3 - 8 = - 5

y = 2x - 5 ← equation of line

Beginning with a regular hexagon, a 6-pointed star is formed by constructing equilateral triangles, whose sides are the same length as the sides of the hexagon, on each side of the hexagon as shown. One of the equilateral triangles is shaded. The shaded area is what fractional part of the entire area of the 6-pointed star? Express the answer as a fraction in simplest form.

Answers

Answer:

1/12

Step-by-step explanation:

what is the difference written in scientific notation 0.00067 - 2.3 * 10⁻⁵

Answers

6.47x10^-4

Step-by-step explanation:

Answer:

6.47x10^-4

‎‎‎

Step-by-step explanation:

Given the angle shown below, what is the location of the reflected angle's vertex after a reflection over the line has occurred? (attachment)

Answers

Answer:

(-2,-2)

Step-by-step explanation:

Uhhhh last question lol I have to match them

Answers

Answer:

7. is 5 - 35n

8. is -6x - 24

9. is 15m - 30

10. is 24p - 28

11. is 5b - 5

12. 5x + 45

RULE:

WHEN MULTIPLYING TWO NEGATIVES YOU WILL GET POSITIVE.

IF ONE IS NEGATIVE AND THE OTHER IS POSITIVE WHEN MULTIPLYING IT WILL BE NEGATIVE.

WHEN MULTIPLYING TWO POSITIVE NUMBERS IT WILL ALWAYS BE POSITIVE

SAME THING IF YOU MULTIPLY A POSITIVE NUMBER WITH A NEGATIVE NUMBER YOU GET A NEGATIVE AS YOUR ANSWER

YOU NEED ONE SIGN OF THE SAME WHEN MULTIPLYING TO BE A POSITIVE AS YOUR ANSWER

YOU NEED ONE SIGN TO BE DIFFERENT FROM THE OTHER WHEN MULTIPLYING TO GET A NEGATIVE AS YOUR ANSWER

5-35n
-6x-24
15m-30
24p-28
5b-5
5x+45
Hope this is helpful:D

which statements correctly describe the point plotted on the coordinate plane?
somdbody help me please.
can somebody help me please ​

Answers

Answer:

A and D are correct!

Step-by-step explanation:

The origin is 0,0

The x axis is the one that R is on right now

The correct statements are,

A) The point is 3 units right to the origin.

D) The x coordinate is 3.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The point R is shown in graph.

Nom,

Since, The point R is shown in graph.

Clearly, The coordinate of R = (3, 0)

So, We have;

⇒ The point R is 3 units right to the origin.

And, The x coordinate is 3.

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ2

Rhonda purchased a pair of shoes for $36
She had to pay 6% extra in sales tax How
much extra did Rhondo have to pay?

Answers

$36x0.06=$2.16 Rhonda payed a total of $38.16

Please help me! (File attached)

Answers

Answer:

Yes, k=0.5

Step-by-step explanation:

I .    am .    in      9th .     Grade       Beachessssssssss

if y varies direckly as x and y =12 when x = 4, find y when x = 12.​

Answers

When x=12, y=36. I’m pretty sure that this is the answer

Simplify (4x - 6) – (5x + 1). (1 point)
оа
Ob
-X +7
ос
X - 7
Od
-X - 7

Answers

Answer:

value of x +×+= - so 2 ¥ is an

Joe's Hot Dog Stand is only open for lunch. Of today's sales, 26% came from selling plain hot dogs. Since the hot dog stand made $45.50 from selling plain hot dogs, it made $ in total sales for the day​

Answers

$45.50 ÷ 26% = $175

Total sales for the day is $175.

I will mark you as the brainiest if you get this correct Thx so much xxx

Answers

Answer:

22.7

Step-by-step explanation:

9³-8*6 = 729-48= 681

(8²-4) / 2 = 30

681/30 = 22.7

Answer:

[tex] \huge \boxed{ \blue{ \text{22.7}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:order of PEMDASgiven:[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex]

let's solve:

[tex]step - 1 : define[/tex]

[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex]

[tex]step - 2 : simplify[/tex]

[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex][tex] \frac{729 - 8 \times 6 }{ (64 - 4 ) \div 2} [/tex][tex] \frac{721 -48}{60 \div 2} [/tex][tex] \frac{681}{30} [/tex][tex]22.7[/tex]

To calculate the area of a triangle, you find the product of the base and height and then divide by 2.

Answers

To calculate the area of a triangle, we multiply the base times the height and divide by 2. If you are given the area, follow the steps backwards. You will multiply by 2 and divide by the given length.

What is 10 times something equal 24

Answers

Answer:

2.4

Step-by-step explanation:

An easy way to find this is via division.

24 ÷ 10 = 2.4 | therefore,

2.4 × 10 = 24

Answer:

2.4

Step-by-step explanation:

"something" = x

10x = 24

divide both sides by 10

10x/10 = 24/10

x = 2.4

ILL GIVE BRAINLIEST FOR FIRST ANSWER!
Divide.

12÷18

Answers

Answer:

0

Step-by-step explanation:

solve the simultaneous Equation
3/x- 4/y= 1/3

Answers

Answer:

a simultaneous equation is a set of equations. you need at least another equation.

Answer:

Step-by-step explanation:

Let's solve for x.

3x−4y= 1/ 3

Step 1: Add 4y to both sides.

3x−4y+4y= 1/ 3 +4y

3x=4y+ 1/ 3

Step 2: Divide both sides by 3.

3x/ 3 = 4y+ 1/ 3

3 x= 4/ 3 y+ 1/ 9

Answer:

x= 4/ 3 y+ 1/ 9

Let's solve for y.

3x−4y= 1/ 3

Step 1: Add -3x to both sides.

3x−4y+−3x= 1/ 3 +−3x

−4y=−3x+ 1/ 3

Step 2: Divide both sides by -4.

−4y/ −4 = −3x+ 1/ 3

−4 y= 3/ 4 x+ −1/ 12

Answer:

y= 3/ 4 x+ −1/ 12

24 is 3/4% of what number

Answers

24 is 3/4 of the number 32

Answer:

32

Step-by-step explanation:

Alright, so think of the "what number" as x in this case. (Or any number/symbol you choose.)

So our simple equation looks something like this:

[tex]24= x *\frac{3}{4}[/tex]

So, to find out what the "what number" would be we'd flip the fraction around/find the reciprocal and multiply 24 by it. That gives us "x" or the number we're missing.

So: [tex]24 * \frac{4}{3} = x[/tex]

Doing the simple math we get:

[tex]24 * \frac{4}{3} = 32[/tex].

32 is your answer.

Hope this helps and have a nice day! Sorry I'm not great at explaining it!

Please answer number 7!!! ASAP!!!

Answers

Number 7 is Parallel!

The value of Rita's house increased by 5%.
Her house then had a value of £210 000.
Work out the value of Rita's house before the increase.

Answers

Answer: £200,000

Step-by-step explanation:

From the question, we are informed that the value of Rita's house increased by 5% and that her house then had a value of £210 000.

The value of Rita's house before the increase will be calculated as:

= 210,000 ÷ (100% + 5%

= 210000 ÷ 105%

= 210000 ÷ 105/100

= 210000 × 100/105

= £200,000

Write each product in standard form. (y+ 9)(y+ 9)

Answers

Answer:

y² + 18y + 81

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsExpand by FOIL (First Outside Inside Last)

Step-by-step explanation:

Step 1: Define

(y + 9)(y + 9)

Step 2: Expand

FOIL:                                        y² + 9y + 9y + 81Combine like terms:               y² + 18y + 81

The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?

Question 8 options:

7


14


6


3

Answers

Answer:

C. 6

Step-by-step explanation:

Given

S = n² + nS = 42, n = ?

Substitute and solve for n:

42 = n² + nn² + 2*1/2n + 1/4 = 42.25(n + 0.5)² = 42.25n + 0.5 = √42.25n + 0.5 = 6.5n = 6

Correct option is C

Answer:

C. 6

Step-by-step explanation:

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