3.
There was an earthquake in San Francisco April 18, 1906. More recently there was another earthquake in Columbia June 27, 2014. Earthquakes are measured using the associated amplitude on the Richter scale. Let a1 be the amplitude for the San Francisco earthquake and a2 be the amplitude for the Columbian earthquake.

San Francisco earthquake equations is below
Columbia earthquake below (view image)


a. Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below:

a1/a2

When an spherical balloon volume is increasing at the rate of [tex]3ft^3/min[/tex] then the diameter of the balloon is increasing [tex]\frac{3}{2\pi }ft /min[/tex]

How can we find the rate of change of balloon's diameter ?

The volume of a spherical balloon is [tex]v=\frac{4}{3} \pi r^3[/tex]

In form of diameter we can write as

[tex]v=\frac{4}{3} \pi (\frac{D}{2} )^3\\=\frac{1}{6} \pi D^3[/tex]

Now we will differentiate both sides wrt to [tex]t[/tex] we get

[tex]\frac{dv}{dt} =\frac{1}{6} \pi 3D^2 \frac{dD}{dt} \\\frac{dD}{dt} =\frac{2}{\pi D^2} \frac{dv}{dt} \\\\when r=1\\D=2ft[/tex]

Given in the question [tex]\frac{dv}{dt} =3ft^3/min[/tex]

thus when we substitute the values we get

[tex]\frac{dD}{dt} =\frac{2}{\pi *2^2} (3)\\\frac{dD}{dt}=\frac{3}{2\pi } ft/min[/tex]

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The events are independent events and probability of tossing a head and drawing a red marble is 1/7

a) The answer is present in the image attached below

b) Tossing of a coin and drawing of a marble are independent events as these two events do not interfere in the probability of each others events.

c) The probability of tossing a head and drawing a red marble is = [tex]\frac{1}{2}.\frac{2}{7}[/tex]=1/7 as we can see from the tree diagram that probability of tossing a coin and getting head is 1/2 and probability of drawing a red marble is 1/7. As they are independent events, their probability can be multiplied. Hence the probability of tossing a head and drawing a red marble is 1/7.

d) The probability of drawing two blue marbles if the first marble is not replaced and one at a time is 1/7. Probability of drawing first blue marble from the lot is 3/7 as favorable outcomes are 3 and total outcomes are 7. As the ball is not replaced the outcomes are changed. Now the number of blue balls are 2 and total number of balls are 6. So now the probability becomes 2/6. Hence the total probability becomes = 1/7

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Answer:

B) 7/9

Step-by-step explanation:

          LCM of 3 and 9 is 9.

          [tex]\sf \dfrac{1}{3}=\dfrac{1*3}{3*3}\\\\[/tex]

              [tex]\sf =\dfrac{3}{9}[/tex]

      [tex]\sf \dfrac{4}{9}+\dfrac{1}{3}=\dfrac{4}{9}+\dfrac{3}{9}\\\\[/tex]

                 [tex]\sf =\dfrac{7}{9}[/tex]

The value of x when y =4 is 2

An inverse proportion is represented as:

k = yx

Where

k represents the constant of proportion

When y = 2, x = 4.

So, we have:

k =2 * 4

k = 8

Substitute k = 8 in k = yx

So, we have:

yx = 8

When y = 4, we have:

4x = 8

Divide by 4

x = 2

Hence, the value of x when y =4 is 2

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Answer:

I think it's (B) and (D)

Step-by-step explanation:

As to what I have studied

The equations of the transformed graphs are [tex]y = \tan(\frac{\pi}{4}x) + 3[/tex] and [tex]y = -\frac34\sin(2x)[/tex]

The tangent function

The parent function is:

y = Atan(Bx) + k

It has a period of 4.

So, we have:

[tex]\frac{\pi}{B} = 4[/tex]

Make B the subject

[tex]B = \frac{\pi}{4}[/tex]

It is shifted vertically up by 3 units.

So, we have:

k = 3

Substitute these values in y = Atan(Bx) + k and remove A

[tex]y = \tan(\frac{\pi}{4}x) + 3[/tex]

Hence, the equation of the transformed graph is [tex]y = \tan(\frac{\pi}{4}x) + 3[/tex]

The sine function

The parent function is:

y = Asin(Bx) + k

It has a period of [tex]\pi[/tex]

So, we have:

[tex]\frac{2\pi}{B} = \pi[/tex]

Make B the subject

B = 2

It has an amplitude of 3/4

So, we have:

A = 3/4

It is flipped across the x-axis

So, we have:

A = -3/4

Substitute these values in y = Asin(Bx) + k and remove k

[tex]y = -\frac34\sin(2x)[/tex]

Hence, the equation of the transformed graph is [tex]y = -\frac34\sin(2x)[/tex]

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Answer:

a. 1ab (4 -28+7)

b 2(a² - 183²)

c. cde(12-9-8+6)

d ab(a+b +2 -2-2 -3)

e 5(1- 9a²)

f py- 2p - qz -qy

pqy (1 - 2 -z -1)

Answer:

B

Step-by-step explanation:

area = 10x^2 + 20x

base = 20x

10x^2 + 20x = 0.5(20x)(height)

10x^2 + 20x = 10x(height)

(10x^2 + 20x) / 10x = height

[tex]\frac{10x^2 + 20x}{10x} = \frac{10x + 20}{10} = \frac{x + 2}{1} = x + 2[/tex]

The answer is B

The geometric modeling is analyzed below.

Basic shapes are generally created using points, lines, circles, and triangles. Some basic shapes are rectangles, ellipses, triangles, and curves.

In geometric modeling, we make a cad model of parts for virtual analysis. By geometric modeling, one can model, and perform CAE analysis to optimize the product.

The best part is the period of doing all this is very small compared to practical manufacturing and looking at the product. In CAD one can very quickly alter the design and come up with new concepts in a very small span of time.

Here chances of error can be shorted easily and there is no wastage of material hence cost saving is there compared to practically manufacturing the part and altering it.

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Answer:

1. y = 0

2. f(x) has a horizontal asymptote at y=3/2

I hope this helps and that you can give a brainliest!

Step-by-step explanation:

There is a horizontal asymptote at y = 0 because the degree of the x value in the denominator is greater than the degree of the numerator (since it doesn't exist in the numerator, it counts as 0).

The second question does not have a slant asymptote.

The degree of both numerator and denominator are equal, so the horizontal asymptote is the quotient of the leading coefficients. So, it's 3 divided by 2.

The answers have been shown below.

Questions regarding the time spent by Jack jogging and bike riding are needed to be answered.

(A) The equations are [tex]x+y=75, y=15+x[/tex]

Time spent jogging is 30 minutes

The total time would be [tex]45+60=105[/tex] minutes which is not equal to 75 minutes.

(B) Let [tex]x[/tex] be the time spent jogging.

[tex]y[/tex] be the time spent bike riding.

[tex]x+y=75\\y=15+x\\x+15+x=75\\2x+15=75\\x=\frac{75-15}{2} =30[/tex]

Time spent jogging is 30 minutes.

[tex]y=60\\x+y=75[/tex]

(C) If he rides his bike 15 minutes longer than he jogs then he would have to jog [tex]60-15 = 45[/tex] minutes.

Therefore, the total time would be [tex]45+60=105[/tex] minutes which is not equal to 75 minutes.

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The probability that a kid who goes to the doctor has a sore throat given that he has a fever is 30%

The given parameters are:

P(Fever) = 70%

P(Fever and sore throat) = 21%

The probability that a kid who goes to the doctor has a sore throat given that he has a fever is calculated as:

P = P(Fever and sore throat)/P(Fever)

So, we have:

P = 21%/70%

Evaluate

P = 30%

Hence, the probability is 30%

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Answer:

21+21+7+7+7+7+8+8+8+8+9+9

Step-by-step explanation:

amswer is 120

Answer:

Step-by-step explanation:

21+2=42.There are four sevens-which is  7x4=28.There are four eights meaning it is 8x4=32+28=60+42=102+(9+9)=102+18=120

Hence, the standard deviation for these data is 7.1 sessions

In statistics, the standard deviation is a measure of the volatility or variance of a set of values. [1] A low standard deviation indicates that the values ​​tend to be close to the mean of the set (also known as the mean), and a high standard deviation indicates that the values ​​are more widely distributed. indicate.

Standard deviation can be abbreviated as SD, and in mathematical texts and equations, it is most commonly represented by the Greek lower σ (sigma) for population standard deviation or the Latin letter s for sample standard deviation. It is a target.

The standard deviation of a random variable, sample, population, dataset, or probability distribution is the square root of its variance. It's algebraically simple, but it's actually less robust than mean absolute deviation. A useful property of standard deviation is that, unlike variance, it is expressed in the same units as the data.

Expression

\ sigma = {\ sqrt {\ frac {\ sum (x_ {i}-{\ mu}) ^ {2}} {N}}}

\ sigma = Population standard deviation

N = size mother Population

x_i = Arbitrary value from population

\ mu = Population mean

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The acute angles of a right triangle are complementary, so [tex]\boxed{m\angle F=34^{\circ}}[/tex].

Using right-angle trigonometry, we know that

[tex]\cos 56^{\circ}=\frac{26}{DF}\\\\DF=\frac{26}{\cos 56^{\circ}}\\\\\boxed{DF \approx 46.5}[/tex]

[tex]\tan 56^{\circ}=\frac{FE}{26}\\\\FE=26 \tan 56^{\circ}\\\\\boxed{FE \approx 38.5}[/tex]

Vertical angles are always equal and congruent.

The information is incomplete. An overview will be given. It should be noted that vertical angles simply means the angles that are opposite each other when two lines cross.

Vertical angles are always equal and congruent. When two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.

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Answer:

2

Step-by-step explanation:

We can find the slope of the line by using the slope formula

m = ( y2-y1)/(x2-x1)  where ( x1,y1) and (x2,y1) are points on the line

Using the points  (0,-4) and  (2,0)

m = ( 0 - -4)/ ( 2 - 0)

   = ( 0+4)/( 2-0)

   = 4/2

    = 2

Alex bought 24.75 gallons of paint to use for the house painting.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the amount of paint bought by Alex, hence:

(1/3)x + 3/2 + 2(3/2) + 12 = x

X = 24.75 GALLONS

Alex bought 24.75 gallons of paint to use for the house painting.

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Answer is 5/4The slope is the number next to the “x” in the y intercept formula

y= m (slope) x + b

Answer: m= 5/4

Step-by-step explanation:

La ecuación general de la recta es y=mx+by=mx+b, donde m es la pendiente y b es la intersección en y

y=mx+by=mx+b

The expected money deposited in Clarie's account in next 12 months is listed below:

First, we must derive a formula that will generate the geometric sequence for the money remaining in Clarie's account:

[tex]c = c_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex]     (1)

Where:

If we know that [tex]c_{o} = 300[/tex] and r = - 50, then the money left for each month is shown in the image attached below.

The image quality is poor to the point of being very hard to read. However, it coincides with the complete statement, which is presented in the question.

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Answer:

B.

Step-by-step explanation:

A C and D are not functions as they are one - to - many  whereas B is many-to-one.

Answer:

54

Step-by-step explanation:

6 bars of soap = $1

x bars of soap = $9

We need to multiply both sides of the equation by the same amount so that $9 is on the right.

$1 x 9 = $9

6 x 9 = 54

So, you can buy 54 soaps with $9.

Hope this makes sense. Feel free to ask further if need be.

Step-by-step explanation:

Solution

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Correct option is A)

In an isosceles right angled triangle, the two sides on the right angle are equal.

Let the equal sides be a.

Hence, hypotenuse of the isosceles right angled triangle =

a

2

+a

2

=

2

a

Given, perimeter of the triangle =(6+3

2

)m

⇒a+a+

2

a=(6+3

2

)m

⇒a(2+

2

)=3(2+

2

)m

⇒a=3m

In the isosceles right triangle, the base and height =a

Hence, area of the triangle =

2

1

×base×height =

2

1

×3×3=4.5m

2

The equations which gave the same solution as; 2.3p – 10.1 = 6.5p – 4 – 0.01p are;

It follows from the answer choices that the equation; 2.3p – 10.1 = 6.49p – 4 is equivalent to the given equation as the algebraic sum of p variables is evaluated on the right hand side.

The second equation; 230p – 1010 = 650p – 400 – p also is equivalent to the given equation, when multiplied through by 100.

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Answer:

B & C

Step-by-step explanation:

edge 2023

I think it is 6. It may be because we can see the intersect of line is in (1,6) and (-1,-6). So I think that it is 6.

Answer:

A. 14, because it says that only 14 liked English language ONLY

B. It’s 7.

14 liked only English, 7 liked both languages, 12 liked only French.

Add those them together.

14 + 7 + 12

21 + 12

33

33 - 40 = 7

( 33 is the number of students that liked a language and 40 is ALL the students in total )

So it would be 7.

C. 26 liked one language.

7 liked both languages and 7 didn’t like neither. You could add them together.

7 + 7 = 14

40 - 14 = 26

OR

14 + 12 = 26
( just English + just French )

D. The probability of a student chosen at random that ONLY likes French would be 12/40.

Since only 12 of the 40 students liked ONLY French, it would be 12/40 or 12 : 40

Step-by-step explanation:

I hope it helps! Have a great day!

Pan~

Answer:

a) 14
b) 7
c) 33
d) P = 12/40 = 3/10 (In decimal P=0.3)

Step-by-step explanation:

Hope this helps

Her gross pay is $421.38

First, we know that she gets $16 per hour, and she worked 20 hours, then she gets:

20*$16 = $320

Now we also know that she receives a percentage of 8% of the gratuities, and the gratuities totaled $1,267.28

The 8% of $1,267.28 is:

$1,267.28*(8%/100%) = $1,267.28*0.08 = $101.38

Her gross pay is:

P = $101.38 + $320 = $421.38

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There are 36 dogs in the shelter.

The ratio of dogs to cats in the shelter is given as 9:15.

The total number of dogs and cats is given as 96.

Let the constant of proportionality be x.

The total number of dogs is 9x and the total number of cats is 15x.

This means that:

9x + 15x = 96

24x = 96

x = 4.

The total number of dogs in the shelter = 9 × 4

= 36

Therefore, we have found that there are 36 dogs in the shelter.

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Answer:

17,576,000

Step-by-step explanation:

3 digits followed by 3 letters

Draw an underline character for each position with multiplication signs in between them.

_ × _ × _ × _ × _ × _

Now fill in each blank with the number of characters that can be used in that position. The first three blanks are used with digits, 0 through 9. There are 10 digits 0 through 9.

10 × 10 × 10 × _ × _ × _

For the last three blanks, each one gets a letter from A through Z. There are 26 letters to choose from fore each of the last three blanks.

10 × 10 × 10 × 26 × 26 × 26 = 17,576,000