One earthquake has MMS magnitude 3.2. If a second earthquake has 390 times as much energy (earth
movement) as the first, find the magnitude of the second quake.

One Earthquake Has MMS Magnitude 3.2. If A Second Earthquake Has 390 Times As Much Energy (earthmovement)

Answers

Answer 1
Section 4.6 Exponential and Logarithmic Models
While we have explored some basic applications of exponential and logarithmic functions, in this section we explore some important applications in more depth.
Radioactive Decay
In an earlier section, we discussed radioactive decay – the idea that radioactive isotopes change over time. One of the common terms associated with radioactive decay is half- life.
Half Life
The half-life of a radioactive isotope is the time it takes for half the substance to decay.
Given the basic exponential growth/decay equation h(t) = abt , half-life can be found by solving for when half the original amount remains; by solving 1 a = a(b)t , or more
2
simply 1 = bt . Notice how the initial amount is irrelevant when solving for half-life. 2
Example 1
Bismuth-210 is an isotope that decays by about 13% each day. What is the half-life of Bismuth-210?
We were not given a starting quantity, so we could either make up a value or use an unknown constant to represent the starting amount. To show that starting quantity does not affect the result, let us denote the initial quantity by the constant a. Then the decay of Bismuth-210 can be described by the equation Q(d) = a(0.87)d .
To find the half-life, we want to determine when the remaining quantity is half the original: 1a. Solving,
2
1 a = a(0.87)d 2
1 = 0.87d 2
1 d log2=log(0.87 )
Divide by a,
Take the log of both sides Usetheexponentpropertyoflogs

Related Questions

HELP ASAP!!! I’m confused and need help guys!!! Thanks!!

Answers

Answer:

Triangle 2

Step-by-step explanation:

5, 12, 13

Use the Pythagorean Theorem

a^2 + b^2 = c^2

a = 5

b = 12

c = 13

25 + 144 = 169

a and b are side lengths

c is the hypotenuse

The theorem states that the square of the side lengths of a right triangle added together equals the square of the hypotenuse

Answer:

B is the right triangle because the sum of the square of each of the two shortest sides will equal the square of the longest side.

Step-by-step explanation:

Pythagorean Theorem says if a triangle is a right triangle with side lengths a, b, and c, then a^2 + b^2 = c^2 where c is the length of the longest side.

So, A. 16^2= 7^2 + 12^2  256 does not = 193 NOT a right triangle

      B. 13^2= 5^2 + 12^2  169 = 169 Yes this is a right triangle

      C. 9^2= 4^2 + 5^2  81 does not = 41 NOT a right triangle

      D. 19^2= 8^2 + 15^2  361 does not = 289 NOT a right triangle

     

Helpppp!! Timed !!!!!

Answers

Answer:

the last one

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

i think so,it is D

hope it helps

have a nice day

the diameter of your bycicle wheel is 25 inches how far will you move in 2 turns of your wheel use 3.14 for pi

Answers

Answer:

157 in

Step-by-step explanation:

2x3.14x25 = 157 in  

Can someone please help me I will mark u brilliant

Answers

Answer:

The answer is 11

Step-by-step explanation:

The answer is eleven

GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)

Answers

Answer:

.764

Step-by-step explanation:

do it on a calculator (TI84)

Answer:

45.6°

Step-by-step explanation:

take the inverse cosine of 7/10: [tex]cos^{-1}(\frac{7}{10})[/tex]

plug it into a graphing calc and you get ≈ 45.573°, they want 1 decimal place so it would be ≈ 45.6°

It costs y dollars to buy x cans of tomatoes. What is the constant of proportionality?

Answers

Answer

1 and 0.89

Step-by-step explanation:

idrk tho

Please help! I will give brain list also if you mind(you don’t have to) but may you explain?
Also I report people who add links :)

Answers

Answer:

2. 8/10 is bigger

3. 7/8 is bigger

4. 1/2 is bigger

5. 8.12 is bigger

6. 4/6 is bigger

7. 7/12 is bigger

Step-by-step explanation:

NO FILES!!
Find the following amount.
What is 75% of 4?
75% of 4 is

Answers

Answer:

75% of 4 is 3

Step-by-step explanation:

Hope this helps you :)

Answer:

75% of 4 is 3.

Step-by-step explanation:

75% [tex]=\frac{75}{100}[/tex]

[tex]\frac{75}{100} *4=\frac{300}{100}[/tex]

[tex]\frac{300}{100}=3[/tex]

Hope this helps; have a great day!

Jordan wants to estimate the number of students in his school who have their own cell phone. He surveys every eighth person who enters the cafeteria for lunch. Is this sample biased or unbiased. Explain.

Answers

Answer:

Step-by-step explanation:

I wouldn't consider it biased, but I'll bet a stats person would. Their reason would be that those who enter the cafeteria are select segment of a school population.

What about the kids who go to clubs at noon? or other activities.What about those who are only there part time and have jobs or just go home at noon?What about those who bring lunches and want to sit outside or even in their cars if they have one?What about those who are serving detentions?

Those are just four exceptions. There must be others -- like a staggered lunch period.

20 points for both questions

Answers

Answer:

first is 30 2nd was 18

Step-by-step explanation:

Answer:

1st on is A second is c

Step-by-step explanation:

please help!! True or false??

Answers

true

I’m pretty sure it’s true but if not then I’m extremely sorry

What is the exponential form of the following expression? (-5)(-5)(-5) . c . c .c


(-5) . C3

(-5)3 . 3c

(-5)3 . c3

(-5) . c6


need help fast pls?

Answers

Answer:

[tex](-5)^3 * c^3[/tex]

Step-by-step explanation:

Given

[tex](-5)(-5)(-5) * c * c * c[/tex]

Required

The exponent form

We have:

[tex](-5)(-5)(-5) * c * c * c[/tex]

Apply the following law of indices;

[tex]x * x * x ...... = x^n[/tex]

So, the expression becomes:

[tex](-5)^3 * c^3[/tex]

Answer:

its c

Step-by-step explanation:

Did it on edge

Can someone help me simplify and write in power form and show me step by step how to do it for both problem 8 and 9?

Answers

Answer:

[tex]\frac{-1.1x^{25} }{-1.1x^{11} }[/tex]     [tex]\frac{mx^{67} }{mx^{37} }[/tex]

Step-by-step explanation:

Sine (-1.1) is the same as (-1.1) you just put them together and if the numbers are by each other you just add up the exponents. But if the question says this [tex]\frac{-1.1x^{2} }{-1.1x^{3} }[/tex] than you subtract the exponents.

·[tex](-1.1)x^{13}X (-1.1)x^{12} = add\\\frac{-1.1x^{2} }{-1.1x^{2} } = subtract[/tex]

Hope this helps. Have a blessed day :)

what is the domain of y=log5x?
A. all real numbers less than 0
B. all real numbers greater than 0
C. all real numbers not equal to 0
D. all real numbers
I'm sorry to rush but I need the answer kinda quickly​

Answers

there are no real values for log of 0 or negatives.

So the answer is B

What is the minimum z-score that a data point could have in order to remain in the top 30% of a set of data? Round your answer to two decimal places.

Answers

I am so sorry but I do not know the answer to this

The minimum z-score that a data point could have to remain in the top 30% of the data is 0.52.

We have,

To find the minimum z-score that a data point could have to remain in the top 30% of a set of data, we need to find the z-score that corresponds to a cumulative probability of 0.70 (since the top 30% is equivalent to the cumulative probability of 0.70).

Using a standard normal distribution table or a statistical calculator, we can find that a cumulative probability of 0.70 corresponds to a z-score of approximately 0.52 (rounded to two decimal places).

Therefore,

The minimum z-score that a data point could have to remain in the top 30% of the data is 0.52.

Learn more about z-score here:

https://brainly.com/question/15016913

#SPJ2

Find the value of k for which x-7 is a
factor of f(x) = x3 - 6x2 + kx - 7. State
the remainder when f(x) divided by X-5.

Answers

Answer:

answer is in the picture above

If the measure of CD is 45°, what is the arc
length of CD?
C С
18 cm

Answers

Answer:

9/2π cm is the correct answer.

Step-by-step explanation:

Arc Length of CD: 1/8 (36π)= 36/8π = 9/2 π cm.

Find the perimeter. Round to the nearest whole number.
15 is c and 30 is a)

Answers

Answer:

45

Step-by-step explanation:

Hope this helps.

Help me somebody pleaseee

Answers

Answer:

Hope i helped but i am not sure chief if that is what you needed

Step-by-step explanation:

you said in the comment we need to find the gallons so if we have the cost  10$ per 2 gallons then 20$ per 4 gallons. Then technicly 1 gallon will be 0 $

But if we need to find the value of the red dots it's starting from the top

40$ for the value of 8

30$ for the value for 6

20 $ for the value of 4

10$ for the value of 2

You can conclude that the cost bar increases by 2 each time

The unemployment rate decreased by 1/10%
in one month. Write 1/10% as a fraction and
as a decimal.

Answers

Answer:

1

-

10

0.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4

plzzzzzzzzz help me on this

Answers

Answer:

B . . . . . .. . ....... .......

Answer:

is here a choice D? If there is, it must not be true

A, B, and C are true

A) 50<100

B) 60>30

C) 14>9

an economics professor gives a test to gauge the math preparedness of his students. he believes that the performance on the test and the number of hours studied are the main factors. for a group of 60 students we have what is the predicted final exam score

Answers

Answer:

hello your question is incomplete, the missing part of the question is attached below

answer :

1) β1 = 0.25

  β2 = 4.85

2)  40.55 + 0.25 ( math score ) + 4.85 ( hours )

Step-by-step explanation:

1) The estimate for β1 and β2

From the attached excel result the estimates are ;

β1 = 0.25 : This shows the change in the mean value of the  final score in relation to the change in math score while the time is kept constant

β2 = 4.85 : This represents the change in the mean value of the final score in relation to the change in time while the math score is held constant

2) sample regression equation

The Final sample regression equation = 40.55 + 0.25 ( math score ) + 4.85 ( hours )

what is the surface area of the right cylinder below. radius 3 height 7​

Answers

Answer:

160 sq. uits

Step-by-step explanation:

160 sq. uits é a resposta

Running the last lap of a 4 x 100-meter relay, Bob takes the baton for his team and pursues his opponent already 20 meters ahead of him. If Bob runs at an average speed of 8 meters per second and his opponent only runs 6 meters per second, will Bob overtake him and win the race? If he does not catch him, how close does he get before the opponent crosses the finish line? If he does catch him, how many seconds and how many meters will it take?

Answers

Answer:

v1 t = distance Bob travels  

v2 t + 20 = distance opponent travels

v1 t  = v2 t + 20

t = 20 / (v1 - v2) = 20 / (8 - 6) = 10 sec

In 10 sec Bob runs 80 m

In 10 sec opponent runs 20 + 60 m = 80 m

Identify the solid from the net below *​

Answers

The solid from the net is a cube

Answer: Cube

A cube has 6 faces, which makes this net accurate.

Cone S and cone T are similar. The volume of cone S is 768 768pi cm3 cm3 and the
volume of cone T is 6144 6144pi cm3 cm3. What is the height of cone S if the height
of cone Tis 24 cm?
24 cm
cone S
cone T

Answers

Step-by-step explanation:

  This is a ratio problem

  Vol cone = 1/3 π r² h

Cone S is 768pi cm3

Cone T is 6144pi cm3

Cone S and cone T are similar I think this means they have the same radius

      Vol cone S  =  1/3 π r² hs    Vol cone T  =  1/3 π r² ht

     Vol  Cone S /  Vol Cone T    =    1/3 π r² hs / 1/3 π r² ht

    Vol  Cone S /  Vol Cone T    =     hs /  ht                                  

               768 / 6144   =  hs / 24       (note the π cancelled out

               h cone s = 768(24) / 6144

               h cone s =   3 cm

A bottle contains 1/3 of water if it's is poured equally into four cups how much water will be in each cup

Answers

Answer: 1/3 must be divided into fourths

Step-by-step explanation:

Help please ?
Write a quadratic equation in standard form with the given root(s) -5,1/2

Answers

Answer:

2x^2+9x-5

Step-by-step explanation:

(X+5)(x-1/2)

x^2-1/2x+5x-5/2

x^2+9/2x-5/2

multiply through by 2

2x^2+9x-5

Please answer ASAP! If 0 is an angle in quadrant II, what is the value of sin(0)

Answers

Answer:

Option A

Step-by-step explanation:

It's given that cosθ = [tex]-\frac{2\sqrt{5} }{5}[/tex]

Since, cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]-\frac{2\sqrt{5} }{5}[/tex]

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

By applying Pythagoras theorem in the right triangle,

(Hypotenuse)² = (Opposite side)² + (Adjacent side)²

(√5)² = (Opposite side)² + (2)²

5 = (Opposite side)² + 4  

Opposite side = √(5 - 4)

                       = 1

Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

                  = [tex]\frac{1}{\sqrt{5}}[/tex]

Since, sine is positive in IInd quadrant,

sinθ = [tex]\frac{1}{\sqrt{5}}[/tex]

Therefore, option A will be the answer.

What is the value of x in the equation 2(x-3)+9=3(x+1)+x?
с Of
O x= -3
x = -1
Ο Ο
O x = 0
x= 3

Answers

Answer:

The answer is x=0

Step-by-step explanation:

2(0-3)+9=3(0+1)+(0)

2(-3)+9=3(1)+0

-6+9=3

3=3

Yes

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