Please help!! I will give a good rating and brainliest if it let's me!!!!

Applying logarithms, it is found that the earthquake in LA was 251.19 times more intense, and the correct option is A.

The logarithm of the ratio of intensity of two earthquakes of magnitudes [tex]M_1[/tex] and [tex]M_2[/tex] is given by:

[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]

In this problem, [tex]M_1 = 6.2, M_2 = 3.8[/tex], then:

[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]

[tex]\log{\frac{I_1}{I_2}} = 6.2 - 3.8[/tex]

[tex]\log{\frac{I_1}{I_2}} = 2.4[/tex]

[tex]10^{\log{\frac{I_1}{I_2}}} = 10^{2.4}[/tex]

[tex]\frac{I_1}{I_2} = 251.19[/tex]

Hence, the earthquake in LA was 251.19 times more intense, and the correct option is A.

A similar problem is given at https://brainly.com/question/2528611

Answer:

C(t) = 6/55

Step-by-step explanation:

Given:

t = 10

Work:

[tex]C(t)= \frac{4 +2t}{120+10t} \\\\C(t)= \frac{4 +2(10)}{120+10(10)}\\\\C(t)= \frac{4 +20}{120+100}\\\\C(t)= \frac{24}{220}\\\\C(t)=\frac{6}{55}[/tex]

Answer:

[tex] \dfrac{4m^2n}{3p} [/tex]

second choice

Step-by-step explanation:

Deal with the numbers first, then with each set of equal variables.

Use the rule a^m/a^n = a^(m - n)

4/3 cannot be reduced, so the number part remains 4/3.

m^4/m^2 = m^2

n^3/n^2 = n^1 = n

p^3/p^4 = p^-1 = 1/p

Now put it all together:

[tex] \dfrac{4m^2n}{3p} [/tex]

second choice

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^4n^3p^3}{3m^2n^2p^4}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{4}{3}m^{4-2}n^{3-2}p^{3-4}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2np^{-1}}3}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2n}{3p}[/tex]

Answer:

Step-by-step explanation:

Let the tip be x.

You have to take 15% of 90 to get x.

The equation looks like

15/100 * 90 = x         Multiply the numerator of the fraction by 90

1350/100 = x            Divide by 100    

x = 13.50

So the tip is 13.50

There are other ways you could do this problem, but I think this is the most easily understood.

A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?

$13.50

Let the tip be x.

→ x = [tex] 90 \times \frac{15}{100} [/tex]

→ x = [tex] \frac{1350}{100} [/tex]

→ x = $13.50

Answer:

I am hacker

Step-by-step explanation:

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]

you have a pathetic life

Answer:

By comparing ,

2x + y = 6

3y = 0

y= 0/3

•°• y = 0

2x + y = 6

2x + 0 = 6

2x = 6

x = 6/2

•°• x = 3

hope it helps :)

Answer:

the answer is

1. 11.33

2. 5.9

3. 8.1

Answer:

C

Step-by-step explanation:

to have a common difference of -8.5, the sequence has to consistently go down by 8.5.

in the first one, y would go up by 2 every time x goes up by 1, so its not that one.

in the second one, it does go down by 8.5 the first time but the next time it goes down by 4.25, so it's not consistent.

in the third one, each time it goes down by 8.5 so this is the answer.

the fourth one also isn't correct because the graph shows that it is going up, so you know for sure it's not that one.

Step-by-step explanation:

p+4<-24

collect like terms

p<-28

[tex]\\ \rm\Rrightarrow p+4<-24[/tex]

[tex]\\ \rm\Rrightarrow p<-24-4[/tex]

[tex]\\ \rm\Rrightarrow p<-28[/tex]

So

[tex]\\ \rm\Rrightarrow p\in (-\infty,-28)[/tex]

Answer:

37,145

Step-by-step explanation:

43,700×15%= 6,555

43,700-6,555= 37,145

the previous population was 37,145

Answer:

5x: linear; monomial

-7: constant; monomial

x^2 + 4: quadratic, binomial

x^2 - 3x + 11: quadratic, trinomial

2x - 9: linear, binomial

Step-by-step explanation:

Name using degree: just count the highest number of variables in a single term. if it's 0, its a constant polynomial, if it's 1 it's linear, 2 quadratic, 3 cubic

Name using number of terms: just count the number of "things" added or subtracted. If there's one, it's a monomial, two: binomial, three: trinomial.

Answer:

232.820513

Step-by-step explanation:

Let the number you are looking for is x,

equation,

90.8 * x = 39

90.8/39 = 2.32820513

Now we multiply 100 because we are dealing with percentages so,

2.32820513 * 100 = 232.820513

So, the answer is 232.820513

Hope this helps! Good luck to everyone!

Answer:

8. 14

9. 720

Step-by-step explanation:

Both questions are asking you to find the GCD (Greatest Common Divisor) and LCM (Lowest Common Multiple).

8. Find the greatest number that can divide 392 and 462 exactly.

Find the GCD of 392 and 462:

  1. Find the prime factorization of 392

2^3 × 7^2 (2 × 2 × 2 × 7 × 7)

  2. Find the prime factorization of 462

2 × 3 × 7 × 11

  3. To find the GCD, multiply all prime factors common to all numbers  

GCF = 2 × 7, therefore GCD = 14.

9. What is the smallest number that is divisible by 20, 48, and 72?

Find the LCM of 20, 48, and 72:

  1. Find the prime factorization of 20

2^5 (2 × 2 × 5)

  2. Find the prime factorization of 48

2^4 x 3 (2 × 2 × 2 × 2 × 3)

  3. Find the prime factorization of 72

2^3 x 3^2 (2 × 2 × 2 × 3 × 3)

  4. To find the LCM, multiply all prime factors

LCM = 2^4 × 3^2 × 5 (2 × 2 × 2 × 2 × 3 × 3 × 5), therefore GCF = 720

Calculator Input:

The easiest way to find the GCD or LCM of 2 or more numbers is by using a scientific calculator. Input GCD(x,y) or LCM(x,y) for the answer. This will work for any amount of numbers as long as the input is logical.

For questions 8 and 9, you would type in GCD(392,462) and LCM(20,48,72).

Not all calculators are made the same, so other labels might be GCF or HCF instead of GCD, and LCF instead of LCM. I use GCD and LCM because that's how it is on my calculator. There isn't any difference, so using any label is fine.

[tex]12 - (8x - 20) < 12 <=> 12- 8x+20<12<=> -8x <12-20-12 \\<=>-8x <-20<=>8x>20<=>x>\frac{20}{8}=\frac{5}{2}[/tex]

ANSWER: x > 5/2

Ok done. Thank to me :>

Answer:

[tex]x = \frac{5}{2} [/tex]

Step-by-step explanation:

12-(8x-20)<12

12-8x+20<12

-8x<12-12-20

-8x<-20

divide both by negetive 8

x>5/2

x> 2.5

Answer:

the table which is the second choice

Step-by-step explanation:

Option A:

1.5 lb bag for $12.99

unit price: $12.99/(1.5 lb) = $8.66/lb

Option B:

unit price: $2.8/(0.2 lb) = $14/lb

Option C:

For the weight of 1 lb, the cost is $10.

unit price: $10/lb

Answer:

the table which is the second choice

Ans

Step-by-step explanation:

Step-by-step explanation:

8x = 1

x = 1/8

So x = 1/8 is the correct answer

Answer:

Step-by-step explanation:

$6,146.76.

Answer:

I believe that it would take 5 hours for 8 people to paint 8 fences.

Step-by-step explanation:

If 2 people are painting 2 fences in 5 hours, then 8 people can also paint 8 fences in the same time because each person is painting one fence. It take 5 hours to paint 1 fence if 1 person is painting it. The same goes for 2 or 8 people painting the same amount of fences as there are people. Im not 100% sure if this is accurate but I hope it helps.

Answer:

answer below

Step-by-step explanation:

equation with a negative discriminant: negative number under the square root

1. will produce imaginary number "i"

2. the function will get two complex solutions

Answer:

41

Step-by-step explanation:

In a direct proportion function, the constant of proportionality is the same as the slope of the graph.

Use points (0, 0) and (1, 41).

slope = (41 - 0)/(1 - 0) = 41/1 = 41

constant of proportionality = 41

Answer:

-3/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(-1-4)

m=3/(-5)

m=-3/5

[tex]y - intercept = 3[/tex]

[tex]x - intercept = - 4[/tex]

Answer:

I would remove 5 yellow tiles.

Step-by-step explanation:

If the beginning ratio was 6:15, I would start by finding the ratio of 1 red tile to ? yellow tiles. By multiplying 1 by 15, giving you 15, and dividing 15 by 6, I would find out that 1 red tile is equal to 2.5 yellow tiles. I would then set up an equation so there is 1/2.5 = 4/?, the 4 being the remaining red tiles after removing 2. I would then find the yellow tiles by multiplying whatever number the 1st numerator can be multiplied by to equal the 2nd numerator. Basically, I know that 1 multiplied by 4 is equal to 4, so I would multiply 2.5 by 4, which is equal to 10. Now that I know 4 red tiles is equal to 10 yellow tiles, I would remove 5 tiles to keep the ratio equivalent to 6:15

HOPE THIS HELPS :)

Answer:

x= 4/5 or x = -2

Step-by-step explanation:

Step 1: Subtract -6x from both sides.

5x^2 -8 - -6x = -6x -6x

5x^2 + 6x - 8 = 0

Step 2: Factor left side of equation.

(5x - 4) (x + 2) = 0

Step 3: Set factors equal to 0.

5x - 4 = 0 or x + 2 = 0

Hense the Answer is x= 4/5 or x = -2

Answer:

15 lessons for $ 80

Step-by-step explanation:

In case 1

Cost of 1 lesson = $10

In case 2

Cost of 1 lesson = 40/5 = $8

In case 3

Cost of 1 lesson = 80/10 = $8

In case 4

Cost of 1 lesson = 80/15 = $ 5.33

Hence,

The best deal is case 4 i.e 15 lessons for $ 80

Answer: 471 years old

Step-by-step explanation:

1946-1475= 471

Answer:

3/50

Step-by-step explanation:

Answer:

0.06 is equal to 3/50.

Hope that helps. x

Answer:

correct answer is explained in the picture attached (tap on the image to view it fully)

Answer:

$85 per chair

Step-by-step explanation:

add the discount (55) to the total amount paid (455).

you should get 510

after this, divide 510 by 6 (because 6 chairs), and you should find that each chair costs $85

Applying the inscribed angle theorem, the missing measures are:

measure of arc TR = 106°

measure of arc TL = 74°

m∠L = 50°

m∠R = 37°

m∠RTV = 37°

Measure of an inscribed angle = half the measure of the arc it intercepts

Central angle = measure of intercepted arc

We are given the following:

LR and TV are diameters of the circle O.

m∠TOR = 106° (central angle)

Find measure of arc TR:

measure of arc TR = m∠TOR

measure of arc TR = 106°

Find measure of arc TL:

measure of arc TL = 180° - m∠TOR

measure of arc TL = 180° - 106°

measure of arc TL = 74°

Find m∠L:

m∠L = ½(measure of arc TR)

m∠L = ½(106°)

m∠L = 50°

Find m∠R:

m∠R = ½(measure of arc TL)

m∠R = ½(74°)

m∠R = 37°

Find m∠RTV:

m∠RTV = ½(measure of arc RV)

m∠RTV = ½(180 - 106)

m∠RTV = ½(74)

m∠RTV = 37°

Learn more about the inscribed angle theorem on:

https://brainly.com/question/14267250