What is the value of b?

The magnitude, M, of an earthquake is 1.544 units when the magnitude of an earthquake is 1,000 times more intense than a standard earthquake

It is given that the magnitude of m, of an earthquake, is defined as:

[tex]\rm M=log\frac{I}{S}[/tex]

Where 'I' is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and 'S' is the intensity of a "standard" earthquake.

It is required to find the magnitude of the earthquake that is 1,000 times more intense than a standard earthquake.

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b=c\\\rm log_ac=b[/tex]

We have:

[tex]\rm M=log\frac{I}{S}[/tex]

and  [tex]\rm I=35S[/tex]  putting this value in the above equation, we get:

[tex]\rm M=log\frac{35S}{S}[/tex]

[tex]\rm M=log35[/tex]

[tex]\rm M=1.544[/tex]  (From log table)

Thus, The magnitude, M, of an earthquake is 1.544 units.

Learn more about the Logarithm here:

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Answer:

M=3

Step-by-step explanation:

VZ = 2WY

s + 52 = 14s

13s = 52

s = 52/13 = 4

Answer:

An ordered pair that is the solution to the system of equations lies on the y-axis.

The y-coordinate of a solution to the system of equations is 4.

EXPLANATION

The given system has equations:

We equate both equations to get:

This implies that,

When x=0, y=-(0)+4=4

When x=-3, y=-(-3)+4=7

The solutions are: (0,4) and (-3,7)

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Step-by-step explanation:

Answer:

12 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

[tex]the \: lcm \: of \: 4 \: and \: 6 \: is \: 12[/tex]

Answer: i believe 38

Step-by-step explanation:

i’ll try my best to explain... 34-15=19 which means that times 2 is 38

if this was right it would make sense because half of 38 is 19 and 19+15 is 34

Answer:

4207

Step-by-step explanation:hope that helped you

Answer: They report paying an average of about $87 per night for lodging on their domestic trips, and just a dollar or two more per night when traveling abroad. Overall, Americans spend an average of $33 per day on food when on a vacation within the U.S. In aggregate, more than 80% of that amount is spent in restaurants.

Step-by-step explanation: An estimate of what the average person spends on vacation is approximately $205-$305 per day plus transportation costs. This is based on spending $150-$250 a night on your accommodations and $60 a day on meals.

Answer: 0.94

Step-by-step explanation:

The required probability of getting at least one tail is given as 0.94. Option D is correct.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
The probability of getting tails at least one time is given as,
P(T) = 1 - P(T)'

From the given table.
P(T) = 1 - 0.06

P(T) = 0.94

Thus, the required probability of getting at least one tail is given as 0.94. Option D is correct.

Learn more about probability here:

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#SPJ2

Answer: y=-5x-1

Step-by-step explanation:

The two given points are (-1,4) and (1.-6)

We can then use the slope formula (Y2-Y1)/(X2-X1) to find the slope

4-(-6)/ -1-1 = 10/-2 = -5

Slope is -5

We then plug the slope in a set of points to find the y intercept

-5*-1+x = 4

5+x=4

x=-1

Then just add these two together to form the equation of y=mx+b

y=-5x-1

Answer:

p ≥ 132.5 pages

Step-by-step explanation:

Menal wants to know the minimum number of pages, p, she must read during each of those 4 weeks to meet her goal.What is the inequality for this problem?

Total pages = 625

First week = 50 pages

Fifths week = 45 pages

First week + fifth week

= 50 + 45

= 95 pages

Total pages remaining = Total pages - pages read

= 625 - 95

= 530 pages

Total pages remaining = 530 pages

Pages per week for 4 weeks ≥ 530 pages / 4 weeks

p ≥ 132.5 pages

Answer:

6

There are 3 dots on the line, so in that case, it must be 3.

Add +3 people to the data to represent the, "at least" part.

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Monthly deposit= $100

Interest rate= 0.06/12= 0.005

Number of periods= 12*5= 60 months

a)

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.005^60) - 1]} / 0.005

FV= $6,977

b) If the deposit is at the beginning of the month, the interest is compounded one more period. We need to use the following formula:

FV= {A*[(1+i)^n-1]}/i + {[A*(1+i)^n]-A}

FV= 6,977 + {[100*(1.005^60)] - 100}

FV= 6,977 + 35

FV= $7,012

(-3,6) == (-1,1)

-3 + 2 = -1 ,

6 -5 = 1

(-3,3) == (-1,-2)

-3 + 2 = -1

3 - 5 = -2

(-5,3) == (-3,-2)

-5 + 2 = -3

3 - 5 = -2

Answer:

The area of the smaller triangle is 80m²

Step-by-step explanation:

Find the scale factor to get the dimensions of the smaller triangle from the larger triangle using the given information:

[tex]\frac{\text{Large Triangle Length}}{\text{Small Triangle Length}}=\frac{12}{8}=\frac{3}{2}[/tex]

When scaling the area of similar shapes, we will square the scale factor for the lengths. We do this because area is a 2-dimensional measurement.

[tex](\frac{3}{2})^2=\frac{9}{4}[/tex]

Let x represent the area of the smaller triangle. So, we have:

[tex]\frac{9}{4}=\frac{180}{x}[/tex]

Cross multiply:

[tex]9x=4(180)[/tex]

[tex]9x=270[/tex]

Divide by 9:

[tex]x=\frac{720}{9}[/tex]

[tex]x=80[/tex]

Therefore, the area of the smaller triangle is [tex]80m^2[/tex].

To find the distance between any points, we must use the equation

  --> [tex]\sqrt{(y2-y1)^2+(x2-x1)^2}[/tex]

For the first question (3,-1) and (5,4), if we plug in the numbers, we get:

--> [tex]\sqrt{(4--1)^2+(5-3)^2} =\sqrt{5^2 + 2^2} =5.39 units[/tex]

For the second question (2,3) and (4,5), if we plug in the numbers, we get

--> [tex]\sqrt{(5-3)^2+(4-2)^2} =\sqrt{2^2+2^2} =2.83units[/tex]

For the third question (-5,7) and (8,5), if we plug in the numbers, we get

--> [tex]\sqrt{(5-7)^2+(8--5)^2} =\sqrt{(-2)^2+(13)^2} =13.15units[/tex]

For the fourth question (-2,4) and (3,-1), if we plug in the numbers, we get

--> [tex]\sqrt{(-1-4)^2+(3--2)^2} =\sqrt{(-5)^2+5^2} =7.07units[/tex]

Hope it helped!

Answer:

Bro above me is correct.

(3,-1) and (5,4) = 5.39

(2,3) and (4,5) = 2.83

(-5,7) and (8,5) = 13.15

(-2,4) and (3,-1) = 7.07

Answer:

66.99 or 67

Step-by-step explanation:

First remember pemdas,

Parentheses, Exponents, Multiply, Divide, Add, Subtract

You need to do 4 to the 4th power first which is 64

Now on your calculator do 1 divided by 3, multiplied by pi or 3.14 if approximate multiplied by 64.

Here are the answers:

66.99 if multiplied to 3.14 rounded to the nearest hundredth.

67 if used pi. These answer choices have to be rounded or you'll be writing all possible numbers until midnight.

SO PLEASE ROUND!!!

Answer:

x+52+51+84=180; x=-7

Step-by-step explanation:

-7+52 degrees = 45

51 degrees =       51

84 degrees=       84

                       + -------

                           180    degrees

all angles in a triangle should add up to 180 degrees.

Hello.

The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation).

A rotation translation must be used to make the two polygons coincide.

A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is a translation 2 units down and a 90° counterclockwise rotation about point D

Have a nice day

Answer:

FGHIJ: Dilate ABCDE with respect to the origin by a scale factor of 0.5, and then rotate the image 180° clockwise about point (0, 2). Translate the image 1 unit down and 7 units to the right.

FGHIJ: Reflect ABCDE across the x-axis, and then reflect the image across the y-axis (or vice versa). Dilate the image with respect to the origin by a scale factor of 0.5. Translate the image 3 units up and 7 units to the right.

Answer:

there are 16 ounces in one pound, so in 4 pounds we have 64 ounces, if we spread 64 evenly with 8 pots you get 8 ounces per pot

8 is the answer

Answer:

37

Step-by-step explanation:

when you plug in 37 for X which is 96 degrees. which is technically an obtuse angle

Answer:

It’s 25

Step-by-step explanation:

You look good today

Answer:

15x+15 ?

Step-by-step explanation:

Answer: 5, 10, 15, 20

Step-by-step explanation:

Domain is all possible values that can be used as inputs in a function.

The arcade machine accepts multiples of 5 game tokens. You have 20 tokens. As the machine accepts 5 game tokens, the minimum is 5. Since you have 20, the maximum is 20.

The multiples of 5 are:

5 x 1 = 5

5 x 2 = 10

5 x 3 = 15

5 x 4 = 20

Answer:

Prime factorization: 80 = 2 x 2 x 2 x 2 x 5 which can also be written 80 = 2⁴ x 5. Prime factors are 2*2*2*2*5. 2 and 5 are the prime factors of 80 .

Step-by-step explanation:

I hope i helped you <3

Answer:

5,2,2,2,2.

Step-by-step explanation:

2×2×2×2×5=80

Answer:

The technician can combine 10 liters of pure acid with 30 liters of 20% acid to get the desired concentration

Step-by-step explanation:

For pure acid, the concentration will be 100%

Let the liters of pure be a and the liters of 20% be b

Since we want 40 liters of total;

a + b = 40 ••••••••(i)

Also,

100% of a + 20% of b = 40% of 40

a + 0.2b = 16 •••••(ii)

From ii , a = 16-0.2b

Put this into i

16-0.2b + b = 40

0.8b = 40-16

0.8b = 24

b = 24/0.8

b = 30

Since a + b = 40

a = 40 - b

a = 40-30

a = 10

Answer:

775 lbs.

Step-by-step explanation:

Answer:

2250 pounds of hay

Step-by-step explanation:

hope this helps!

Answer:

6/72=50/x

Step-by-step explanation:

I just took the test and got it correct

We know that:

[tex]1. \space\ r + s + t = 180 + 180 + 180 - (Sum \space\ of \space\ interior \space\ angles \space\ of \space\ a \space\ triangle)\\ \\ 2. \space\ Sum \space\ of \space\ interior \space\ angles \space\ of \space\ a \space\ triangle = 180[/tex]

This means that:

[tex]1. \space\ r + s + t = 180 + 180 + 180 - (180)[/tex]

Let's simplify the equation to find r + s + t.

Simplifying the equation:

[tex]r + s + t = 180 + 180 + 180 - (180) \\ \\ r + s + t = 180 + 180 + 180 - 180 \\ \\ r + s + t = 180 + 180 \\ \\ r + s + t = 360[/tex]

Thus, the sum of r, s and t is 360°

Answer: the sum of r, s and t is 360°

I hope i helped you out.

Answer:

What is the other information attached to the question?

Step-by-step explanation:

Answer:

letter C.5n=10

Step-by-step explanation: