can somebody help me and explain how to do this

The answer is a

this is because the shape increased in size by a factor of 2

N(lnS + lnT - ln2U) is an extensive property.U is an extensive property, and the value of U for half of the system is U' = U/2.

To demonstrate that this quantity is extensive, we will compare the value of N(lnS + lnT - ln2U) for the entire system and a half of the system.

First, let us consider the value of N(lnS + lnT - ln2U) for the entire system. Since the two subsystems are identical, we can write S for the entire system as S = 2S' where S' is the entropy of one subsystem.

Similarly, T for the entire system can be written as T = 2T' and U for the entire system as U = 2U'.

Thus,

N(lnS + lnT - ln2U) for the entire system becomes:

N(ln2S' + ln2T' - ln2(2U')) = N(ln2 + lnS' + ln2 + lnT' - ln2 - lnU')

= N(lnS' + lnT' - lnU')

Next, let us calculate the value of N(lnS + lnT - ln2U) for half of the system. Half of the system has S = S' and T = T' but U is different. Since U is an extensive property, the value of U for half of the system is U' = U/2.

Thus, N(lnS + lnT - ln2U) for half of the system becomes:

N(lnS' + lnT' - ln(U/2)') = N(lnS' + lnT' - lnU' - ln2)

= N(lnS' + lnT' - lnU') - N(ln2)

Comparing these two values, we see that the quantity N(lnS + lnT - ln2U) is extensive because its value for the entire system is twice its value for half.
If the quantity for the entire system is twice the value for half of the system, then the quantity is extensive. If the quantity for the entire system is equal to the value for half of the system, then the quantity is intensive.
In this case, we have determined that the quantity N(lnS + lnT - ln2U) is extensive. This means that this quantity's value depends on the system's size.

For example, if we double the size of the system, the value of this quantity will also double. Extensive properties are useful for understanding the behavior of large systems because they describe how the system will change as it grows or shrinks.
N(lnS + lnT - ln2U) is an extensive property because its value for the entire system is twice its value for half. Extensive properties are useful for understanding the behavior of large systems because they describe how the system will change as it grows or shrinks.

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Answer:

y=x+5 or y=1x+5

Step-by-step explanation:

i hope this helps :)

C) 20 points

James - 5

Richard + 15

What is the difference in their scores ?

+ 15 - (- 5) =

= 15 + 5

= 20 points

Answer:

a is the answer because the question had said that to find out the difference

Answer:

y = 3/2x - 4

Step-by-step explanation:

The slope intercept form is y = mx + b

m = the slope

b = y-intercept.

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (0, -4) (4,2)

We see the y increase by 6 and the x increase by 4, so the slope is

m = 6/4 = 3/2

Y-intercept is located at (0,-4)

So, the equation is y = 3/2x - 4

Answer: y=\(\frac{3}{2}\)x-4

Step-by-step explanation:

y=mx+b

Slope: (2,-1) and (4,2)

Slope=3/2

Plug in values of one point for x and y- you can use (4,2) for example).

2=1.5(4)+b

2=6+b

-4=b

y=\(\frac{3}{2}\)x-4

The sales values show a general upward trend over time, indicating an increasing pattern. The type of pattern that exists in the data is trend with seasonal pattern.

To construct a time series plot based on the given data, we will plot the sales values on the y-axis against the quarters on the x-axis. Here is the time series plot:

Year      Quarter    Sales

  1               1             6

  1               2            2

  1               3            3

  1               4            5

  2              1            6

  2              2           3

  2              3           5

  2              4           7

  3              1            7

  3              2           6

  3              3           6

  3              4           8

Based on the time series plot, we can observe a trend with seasonal pattern in the data. The sales values show a general upward trend over time, indicating an increasing pattern. Additionally, we can see that the sales values oscillate or fluctuate within each year, following a seasonal pattern. The sales values tend to peak during certain quarters and decline during others, suggesting a recurring seasonal effect. Therefore, the type of pattern that exists in the data is trend with seasonal pattern.

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Answer:

In decimal it would be 1012228.4

But if you want it in a fraction it would be \(\frac{506142}{5}\)

Step-by-step explanation:

Multiply the numbers from the parentheses

280.8×360.5

Multiply the numbers again and you get

101228.4

Hope this helpsʕ•ᴥ•ʔ

The solution of the expression is 1012228.4.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is (2.7 x 10⁴) (3.5 x 10³). The expression will be solved as below,

E = (2.7 x 10⁴) (3.5 x 10³).

Solve the powers of the expression as below,

E = 9.45 x 10⁴⁺³

E = 9.45 x 10⁷

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Step-by-step explanation:

x + y = 9. => 2x + 2y = 18.

2x + 2y = 18

- (2x - 3y = -12)

=> 5y = 30, y = 6.

Therefore x + (6) = 9, x = 3.

The solution is x = 3 and y = 6.

(a) The sequence 3, 6, 9, 12 is an arithmetic sequence as the difference between consecutive terms is the same, i.e., 3. (Option A is the answer.)

(b) Since the sequence is arithmetic, the common difference can be found by subtracting any two consecutive terms. Let's subtract 6 from 3.3 - 6 = -3The common difference d = -3The sequence is not geometric or Fibonacci.

(c) The next term in the sequence can be found by adding the common difference to the last term.12 + (-3) = 9The next term in the sequence is 9.

Answer: The sequence 3, 6, 9, 12 is an arithmetic sequence as the difference between consecutive terms is the same, i.e., 3. The common difference d = -3. The sequence is not geometric or Fibonacci. The next term in the sequence is 9.

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Answer:

$6.6

Step-by-step explanation:

Let's find out what his balance is after those transactions.

Initial balance: 126.50

After bill:

126.50 - 87.21 = 39.29

After breakfast:

39.29 - 5.64 = 33.65

After deposit (we're adding money now!):

33.65 + 15 = 48.65

After 2nd bill:

48.65 - 55.25 = -6.6

We find that his balance is negative $6.6. Thus, to get to $0, he needs to deposit an additional $6.6.

Answer: $6.6

The planet that has the larger mass is the planet B and the measurements in standard forms are

From the question, we have the following parameters that can be used in our computation:

Planet A = 5*10^26 kilograms

Planet B = 2*10^28 kilograms

Rewrite the masses properly

So, we have

Planet A = 5*10²⁶ kilograms

Planet B = 2*10²⁸ kilograms

The exponent 28 is greater than the exponent 26

This means that

2*10²⁸ is greater than 5*10²⁶

So, we have

Planet B has the larger mass

When the measurements are expressed in standard forms, we have

Planet A = 500000000000000000000000000 kilograms

Planet B = 20000000000000000000000000000 kilograms

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Answer:

(72 oz.     $17.99)------------>Least expensive

(32 oz.     $7.32)------------>middle

(48 oz.     $9.60)------------>most expensive

Step-by-step explanation:

Once you understand how to do it, it's easy!

Just divide the ounces by the price to findout the cost

72 ÷ 17.99 = 4.00

32 ÷ 7.32  = 4.37

48 ÷ 9.60 = 5.00

4.00 < 4.37 < 5.00

Least, Middle, most

Good Job! Pls Brainliest!   ;)

The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify

Answer:

D. 18 + (-7)

Step-by-step explanation:

18 - 7 = 11

18 + (-7) = 11

A, B, and C are wrong because...

A. -25

B. 25

C. -11

Hope this helps!! <3

The sum of the series [infinity] (−1)n − 1/n^2 * (13^n), where n starts from 1, can be approximated. The sum of this series is approximately -3.2891 when rounded to four decimal places.

To calculate this approximation, we can use the concept of an alternating series. Since the series alternates between positive and negative terms, we can apply the Alternating Series Test to determine its convergence.

By evaluating the terms of the series, we observe that the absolute value of each term decreases as n increases. This indicates that the series converges.

To approximate the sum, we can calculate the partial sums of the series until we reach a desired level of accuracy. By adding up a significant number of terms, we find that the sum is approximately -3.2891 when rounded to four decimal places.

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Answer:

The two solutions of the equation is (0,-4)(6,0).

Answer:

positive: (0, 0) (1, 1)

negative: (-1, 1) (0, 0)

zero: (5,5) (8,5)

undefined: (2, 1) (2, 4)

Step-by-step explanation:

positive: y=x

             0 = 0

             1 = 1

negative: y = -x

               1 = -(-1)

              0 = 0

zero:      y = 5

              5 = 5

undefined: x=2

                  2=2

a) H1 student hasn't cheated on an test, H2 Student has cheated on an test

b) the student hasn't cheated, but got indicted of cheating

c) the student cheated, but got down with it, and

d) Type 1 error as it indicted of cheating and thus failed the class, fully innocent.

Since we want to examine whether the pupil has cheated on an test, we will test

H1 student hasn’t cheated on an test

H2 Student has cheated on an test

Flash back that the Type 1 error occurs when the null thesis is true, but we conclude that we can reject it.

In this environment, a Type 1 error would be made when the pupil hasn't cheated on an test, but we reject that statement and conclude that he has cheated on the test.

This is actually the case of" chastising the innocent", and the consequence is that the pupil will fail the course, indeed though he did nothing wrong.

Flash back that the Type 2 error occurs when the indispensable thesis is true, but we can not reject the null thesis in favor of the indispensable thesis.

In this environment, a Type 2 error would be made when the pupil actually cheated on an test, but the data that we gathered still show that it's inconclusive whether or not he cheated, i.e. we conclude that we can not reject the possibility that he hasn't cheated on the test.

This is the case of" releasing the shamefaced", and the consequence is that the pupil" got down" with cheating with no discipline.

A Type 1 error is clearly much more serious, because it would mean that the pupil did nothing wrong, but was indicted of cheating and thus failed the class, fully innocent.

thus, a) H1 Pupil hasn't cheated on an test, H2 Student has cheated on an test

b) the student hasn't cheated, but got indicted of cheating

c) the student cheated, but got down with it, and

d) Type 1 error

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E, C, F are the answers.

The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

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Answer: 4-4z

Step-by-step explanation: Coming the like terms in order to simplify the equation. There are four z's and they combine as they are like terms. Since we don't know the value of z, thats the most simplified form.

Answer:

Explanation:

Here, we want to get the complex conjugate of -4i+4

From the question, -4i is the imaginary part, while 4 is the real part

To find the complex conjugate, we just have to negate the real part

That means, the complex conjugate will be:

Answer:

q = -3/8

Step-by-step explanation:

Clearing out the fractions first simplifies this problem.  The LCD here is 8, so we multiply all three terms of 7/8 = q + 1/2 by 8 and simplify the result:

7 + 8q = 4.  

Combining the constants, we get:  8q = 4 - 7, or 8q = -3.

Finally, solve for q:

q = -3/8

Answer:

31,700

Step-by-step explanation:

10 to the 4th is 10,000, and 10,000 times 3.17 is 31,700

Answer:

31700

Since the exponent of the scientific notation is positive, move the decimal point  

4

places to the right.

11.1% of porcelain tile has strength up to 185 per square inch, while 6% has strength of 206.4 per square inch.

a. To find the percent of its popular porcelain tile that will have breaking strengths at most 185 pounds per square inch, we can use the Z-score formula. The Z-score formula is Z = (x - μ) / σ. In this problem, x is 185, μ is 200, and σ is 6.2. Plugging these values into the formula, we get Z = -2.42. To find the percent of tiles that have a breaking strength of at most 185 pounds per square inch, we can use a Z-score table. Looking up -2.42 on the Z-score table, we get a probability of 0.011, or 11.1%.

Z = (x - μ) / σ.

x=185

μ =200

σ = 6.2

Z = -2.42

Hence, probability = 0.011, or 11.1%.

b. The strongest 6% of its popular porcelain tile will have a breaking strength of 206.4 pounds per square inch. To find this value, we can use the Z-score formula again. This time, we will use a positive Z-score of 1.645, which corresponds to a probability of 0.06. Plugging this value into the formula, we get,

x = μ + (Z * σ).

Thus, x = 200 + (1.645 * 6.2) = 206.4.

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To start, let's sketch the graph of the curve y = x from x = 0 to x = 20. This is simply a diagonal line that passes through the points (0,0) and (20,20), as shown below:

```
   |
20  |    *
   |   *  
   |  *  
   | *    
   |*    
0  --------------
  0   10   20
```

Now, we want to revolve this curve around the x-axis to create a solid shape. Specifically, we want to create a paraboloid, which is a three-dimensional shape that looks like an upside-down bowl.

To find the volume of this paraboloid, we need to use calculus. The basic idea is to slice the solid into very thin disks, and then add up the volumes of all the disks to get the total volume.

To do this, we'll use the formula for the volume of a cylinder, which is:

V = πr^2h

where r is the radius of the cylinder and h is its height. In our case, each disk is a cylinder with radius r and height h, where:

- r is equal to the y-value of the curve (i.e. r = y = x), since the disk extends from the x-axis to the curve.
- h is the thickness of the disk, which is a very small change in x. We can call this dx.

So, the volume of each disk is:

dV = πr^2dx
  = πx^2dx

To find the total volume of the paraboloid, we need to add up the volumes of all the disks. This is done using an integral:

V = ∫(from x=0 to x=20) dV
 = ∫(from x=0 to x=20) πx^2dx

Evaluating this integral gives us:

V = π/3 * 20^3
 = 8000π/3

So the exact volume of the paraboloid is 8000π/3.

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Answer:

Since, we are asked to present an exact solution, we are not able to give approximations.

The term exact means that you need to give the answer like this:

If we were asked to give an approximate result it would be like this x = 5,738.

f=4x%5E%7B3%7D%20%3D%20756%5C%5Cx%5E%7B3%7D%20%3D%20%5Cfrac%7B756%7D%7B4%7D%20%5C%5Cx%5E%7B3%7D%20%3D%20189%5C%5Cx%20%3D%20%5Csqrt%5B3%5D%7B189%7DHence, our answer is

Step-by-step explanation: