.Three subtracted from 4 times a number is 17. Find the number

Hello and Good Morning/Afternoon:

The table shows a linear function:

 \(\hookrightarrow \text{This means that the slope is consistent between all the points}\\\)

Thus we can use any point to help us find our slope:

 \(\hookrightarrow \text{let's pick two points}\)

       \(\hookrightarrow \text{Slope} = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{16-7}{5-2} =\dfrac{9}{3} =3\)

Answer: 3

Hope that helps!

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The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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so correlation coefficient = σ^XY/σ^Xσ^Y = 1.225 / 1.36 = 0.9

Step-by-step explanation:                                                                          

a) We need to find the conditional p m f of X when Y = 1.

So, when Y = 1, there are only two X values: X =1 and X =2.

X can have any of the following values: 0, 1, 2, or 3                                                                                                        

so P(0) = 0/ 0.2 = 0          

P(1) = 0.1/(0.1+0.1) = 0.5

P(2) = 0.1/( 0.1+ 0.1) = 0.5

P(3) = 0/ 0.2 = 0

b)  The correlation coefficient of X and Y isρXY              

ρ^XY=(X,Y)=(X,Y)/σ^Xσ^Y=σ^XY/σ^Xσ^Y

We will calculate σ^X first by μ^x

f x(x) = 0.2; x = 0

= 0.2; x =1

= 0.2 ; x = 2

= 0.4 ; x = 3

μ^x = 0.2 * 0 + 0.2 * 1 + 0.2 * 2 + 0.4 * 3 = 1.8

σ^X^ 2 = 0.2 * 1.82 + 0.2 * 0.82 + 0.2 * 0.22 + 0.4 * 1.22 = 1.36

σ^X = 1.166

We will calculate σ^y first by μ^y

f^ x (X) = 0.2; y = 0

= 0.2; y =1

= 0.2 ; y= 2

= 0.4 ; y = 3

μ^y = 0.2 * 0 + 0.2 * 1 + 0.2 * 2 + 0.4 * 3 = 1.8

σ^y^ 2 = 0.2 * 1.82 + 0.2 * 0.82 + 0.2 * 0.22 + 0.4 * 1.22 = 1.36

σ^y = 1.166

Now we will calculate σ^XY

σ^2^XY = 0.4 * ( 3 - 1.8)* ( 3-1.8) + 0.2 *( 0 -1.8) * ( 0 - 1.8) + 0.1 * ( 1- 1.8) * ( 1- 1.8) + 0.1 * ( 2 -1.8) * ( 1 -1.8) + 0.1 * ( 1 - 1.8) * ( 2 - 1.8) + 0.1 * ( 2 - 1.8) * ( 2 - 1.8) = 1.26

σ^XY = 1.225        

so correlation coefficient = σ^XY/σ^Xσ^Y = 1.225 / 1.36 = 0.9

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Answer:

c = 3

Step-by-step explanation:

4c + 2 = 3c + 5

4c = 3c + 3

c = 3

Answer:

-23

Step-by-step explanation:

You're welcome :)

Answer:

38

Step-by-step explanation:

119.32/3.14 since 3.14 is pi and c=pi*d

Answer:

d≈37.98

Step-by-step explanation:

C=2πr

d=2r

Solving for d

d=C

π=119.32

π≈37.98074

Answer:

Step-by-step explanation:

y= 1/4x+2

y=-2x-7

Graphs below

9514 1404 393

Answer:

  27°

Step-by-step explanation:

The inscribed angle is half the measure of the arc it intercepts.

  ∠M = 1/2 arc QR = 1/2(54°)

  ∠M = 27°

The diameter of the engine cylinder is written in the form

|d - 5| ≤ 0.005

To represent the diameter of an engine cylinder with a tolerance of ±0.005 cm and a desired width of 5 cm, we can use an absolute value inequality.

The absolute value inequality representing the permissible limit of variation can be written as:

|d - 5| ≤ 0.005

where:

d represents the diameter of the engine cylinder.

In this inequality, the absolute value of the difference between the diameter (d) and the desired width (5 cm) must be less than or equal to the given tolerance of ±0.005 cm.

This means that the diameter of the engine cylinder can vary within ±0.005 cm of the desired width of 5 cm.

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Answer:

\(x = 11/4\)

Step-by-step explanation:

Given

\(1 + \sqrt{4x + 5} = 5\)

Required

The solution

\(1 + \sqrt{4x + 5} = 5\)

Collect like terms

\(\sqrt{4x + 5} = 5 - 1\)

\(\sqrt{4x + 5} = 4\)

Square both sides

\(4x + 5 = 16\)

Collect like terms

\(4x = 11\)

Divide both sides by 4

\(x = 11/4\)

The attached line is a parallel line that goes through C and parallel to AB

Parallel lines are lines on the same plane that have the same slope, they do not intersect even when they are extended indefinitely

From the question, we have the following points and line:

The following steps would create the parallel line that goes through C and parallel to AB

See attachment for the parallel line that goes through C and parallel to AB

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(a) The mean of the relevant distribution is 2.4 defective pistons.

(b) The standard deviation of the distribution is 1.539.

The mean of the relevant distribution is the expected number of defective pistons that we would expect to get from a sample of 80 pistons produced by this machine. The mean is calculated by multiplying the probability of a defective piston (3%) with the number of pistons in the sample (80). In this case, the mean is 2.4 defective pistons. The standard deviation of the distribution quantifies the uncertainty of our estimate. It is calculated by taking the square root of the variance, which is the expected value of the squared differences between the number of defective pistons in the sample and the mean. In this case, the standard deviation is 1.539. This means that, in theory, we would expect 68% of the samples to contain between 0.861 and 4.139 defective pistons.

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Answer:

Rate of interest r = 2.83 % (Approx.)

Step-by-step explanation:

Given:

Amount invested p = $2,600

Amount get A = $4,300

Number of year n = 18

Find:

Rate of interest r

Computation:

A = p(1+r)ⁿ

4,300 = 2,600(1+r)¹⁸

(1+r)¹⁸ = 1.653846

Rate of interest r = 2.83 % (Approx.)

Answer: 2.80%

Step-by-step explanation:

Delta Math

Question:

Mr.sheng is using a faucet attachment to fill the fish tank in his biology classroom. The graph below shows the amount of water In the tank during the first several minutes since he turned on the faucet. What is the slope of a line joining the points on the graph? If your answer is not an integer. Express it as a decimal.

Solution:

By definition, the slope of a line is given by the following formula:

Where (X1,Y1) and (X2,Y2) are any two points on the line. In this case, we can take the following points:

(X1,Y1) = (2,16)

(X2,Y2) = (6,48)

now, replace these points in the slope-equation:

that is:

so that, we can conclude that the correct answer is:

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Let initial bacteria, P0=10000.

A colony of 10,000 bacteria doubles in size every 29 hours.

So, in first 29 hours, the bacteria becomes 20000.

In the next 29 hours, the bacteria becomes 40000.

Now, 29+29=58 hours.

In the next 29 hours, the bacteria becomes

Now, the total hours is 58+29=87 hours.

So, in 87 hours the bacteria becomes 80000.

Answer:

55

Step-by-step explanation:

you would start by asking yourself what us 60÷12=5 then multiply 5×1=5 that would be the answers she got wrong so then you would get the answer for 60-5=55

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Answer: B

Step-by-step explanation:

-500 degrees is coterminal with -500+2(360)=220 degrees.

The figure given is a sphere

A surface area of a sphere is given by

The diameter of the sphere is given to be 42 cm

The radius of the sphere is half the diameter =

Substituting the value of r into the formula

The correct answer is option A

Answer:

7 Cows and 8 Chickens

Step-by-step explanation:

Note that cows have four legs each and chickens have two legs each.

if there were only cows, then 15 cows times 4 legs for each cow would give 15 x 4 = 60 legs. 60 is greater than 44, so some (maybe all) of the animals are chickens.

If there were only chickens, then 15 chickens times 2 legs for each chicken would give 15 x 2 = 30 legs. 30 is less than 44, so we have confirmed that there is a mixture of both cows and chickens on the farm.

One approach would be to build a table of possibilities:

Total legs will equal number of cows times 4 plus number or chickens times 2 and we know the total number of animals is 15, so we keep cows plus chickens equal to 15 and just keep adding a cow and subtracting a chicken and do the math until.we get 44 legs. We know that it will take less than 13 tries, since we already ruled out 15 cows or 15 chickens. We'll start with 1 cow and 14 chickens and go from there

1 Cow + 14 Chickens = (1 x 4) + (14 x 2) = 4 + 28 = 32 legs

2 Cows + 13 Chickens = (2 x 4) + (13 x 2) = 8 + 26 = 34 legs

3 Cows + 12 Chickens = (3 x 4) + (12 x 2) = 12 + 24 = 36 legs

4 Cows + 11 Chickens = (4 x 4) + (11 x 2) = 16 + 22 = 38 legs

5 Cows + 10 Chickens = (5 x 4) + (10 x 2) = 20 + 20 = 40 legs

6 Cows + 9 Chickens = (6 x 4) + (9 x 2) = 24 + 18 = 42 legs

7 Cows + 8 Chickens = (7 x 4) + (8 x 2) = 28 + 16 = 44 legs

We can stop here because we can see that 7 Cows and 8 Chickens have a total of 44 legs.

Another way to approach this is to use algebra and to make is shorter to write we can assign a variable to each item and relate them in some way.

Let's use the letter x to stand for cows and the letter y to stand for chickens so we don't have to keep writing chickens and cows. x and y are just common letters to use, by the way, could use w and k perhaps since cow has a w and chicken has a k...sadly they both start with c, so we can't use that for both.

We know a couple different, but related, things.

One thing we know is that the total number of animals is 15. We can write that as:

x + y = 15

That means cows (x) plus chickens (y) equals 15.

A second thing we know is that the total number of legs is 44. We can write that as

4x + 2y = 44

That means 4 times x (cow) plus 2 times y (chicken) is equal to 44 since each cow has 4 legs and each chicken has 2 legs.

Since we now have two related equations and two variables we can solve for the variables.

If we take the first equation and rearrange it, by subtracting x from both sides, we can see that one way to do it is the following

y = 15 - x

That means the number of chickens (y) is equal to 15 minus the number of cows (x). As long as we do the same thing on both sides of the equals sign the equation is still.equal...you will see this again below.

Now we can then substitute 15 - x for y in the second equation and then all we have is x in that equation. (We can do this because y is equal to 15 minus x...they both have the same value and mean the same thing...they are equal to each other)

4x + 2(15 - x) = 44

As you can see, we now have 2 times 15 minus x where we had 2 times y before. If we multiply the 2 through we get because 2 times 15 is 30 and 2 times x is 2x

4x + 30 - 2x = 44

We can subtract the 2x from 4x and we get

2x + 30 = 44

Now we can subtract 30 from both sides of the equation because as long as we do the same thing on both sides of the equals sign the equality holds true

2x + 30 - 30 = 44 - 30

30 minus 30 is zero and 44 minus 30 is 14 so now we have

2x = 14

If we divide both sides by two, we still maintain the equality and we get x on one side as 2x divided by 2 is 1x or just x and we get 7 on the other side as 14 divided by 2 is 7

x = 7

That means we have 7 Cows as x represents cows, so half the problem solved

If we now go back to our first equation,

x + y = 15

We can replace x with 7 and get

7 + y = 15

We can subtract 7 from both sides and maintain the equality and isolate y

7 - 7 + y = 15 - 7

Again, 7 minus 7 is zero so we have isolated y and 15 minus 7 is 8

y = 8

This means we have 8 Chickens since y represents chickens

Once again we have shown that Old MacDonald has 7 Cows and 8 Chickens

Length is 6 area is 000 it most be answer you please write in your copy.

The value of a missing number is 9.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called proportional.

Given

The ratio is,

⇒ 3 / 8 = __ / 24

Now, Let the missing number = x

So, We get;

⇒ 3/8 = x/24

Solve for x;

⇒ 3 × 24 / 8 = x

⇒ x = 3 × 3

⇒ x = 9

Hence, the missing value is 9.

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Answer:

\(sin(\theta) = \frac{\sqrt{17} }{7}\)

Step-by-step explanation:

We know that:

sin(x)^2 + cos(x)^2 = 1

And we know that:

\(cos(\theta) = \frac{4\sqrt{2}}{7} }\)

We want to find the value of the sine function evaluated in theta.

If we replace that in the first equation, we get:

\(sin(\theta)^2 + cos(\theta)^2 = 1\)

\(sin(\theta)^2 + (\frac{4*\sqrt{2} }{7}) ^2 = 1\)

\(sin(\theta)^2 + (\frac{4^2*\sqrt{2}^2 }{7^2}) = 1\)

\(sin(\theta)^2 + (\frac{16*2 }{49}) = 1\)

Now we can just isolate the sine part of that equation, so we get:

\(sin(\theta)^2 = - (\frac{16*2 }{49}) + 1 = \frac{-32}{49} + \frac{49}{49} = \frac{-32 + 49}{49} = \frac{17}{49}\)

\(sin(\theta) = \sqrt{\frac{17}{49} } = \frac{\sqrt{17} }{\sqrt{49} } = \frac{\sqrt{17} }{7}\)

(We can't simplify the fraction anymore)

Answer:

19. 25 chocolate bars

Step-by-step explanation:

77 divided by 4=19. 25

Answer:

8^12??

Step-by-step explanation:

what is islng

Answer:

1/\(8^{12}\)

Step-by-step explanation:

Express with a positive exponent using a \(^{-n}\) = 1/\(a^{n}\)

1/\(8^{12}\)

Solution

1/\(8^{12}\)

Alternate form

≈ 1.45519 x \(10^{-11}\)