thermodynamics and statistical mechanics
please write the answer and circle it so it clear that it is the answer. also the progrem will only except numbers no letters and it has to be in J/(mol k)
thank you!
What is the entropy change per mole for a Joule expansion? Answer in J/(mol K).

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Answer:

x=-7

y=6

Step-by-step explanation:

7x+10y=11

4x+3y=-10

-3(7x+10y=11

10(4x+3y=-10

-21x-30y=-33

40x+30y=-100

19x = -133 (divide 19 on both sides)

x= -7

Now put the x in one of the original questions.

7(-7)+10y=11

-49+10y=11 (Add 49 to both sides)

10y=60 (Divide 10 on both sides)

y=6

The total number of different sets using three points of the grid with three vertices of an isosceles triangle equal 36.

Number of points of 3 by 3 grid are spaced horizontally and vertically equally .

Total number of points present on 3 by 3 grid are 9.

To form an isosceles triangle with two of the equal sides .

Total number of different sets of isosceles triangle are given by :

⁹C₂

= 9! / ( 9 - 2)! 2!

= ( 9 × 8 × 7! ) / 7! 2!

= 36.

Therefore, the number of different sets of isosceles triangle with three vertices on 3 by 3 grid is equal to 36.

The above question is incomplete , the complete question is:

The points of this 3-by-3 grid are equally spaced horizontally and vertically. how many different sets of three points of this grid can be the three vertices of an isosceles triangle?

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Answer:

the second one

slope is negative go down one right 2

Answer:

16/100 or 8/50 or 4/25

Step-by-step explanation:

The limit of (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity is 0.

To find the limit of the function (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity, we will divide both the numerator and denominator through the highest power of x. In this case, the highest power of x is x², so we can divide both the numerator & the denominator through x²:

\([(2x-1)/(x^2)] * [(3-x)/((x-1)/(x^2)(x+3))]\)

Now, as x approaches infinity, every of the fractions within the expression procedures zero except for (2x-1)/(x²). This fraction techniques 0 as x procedures infinity because the denominator grows quicker than the numerator. therefore, the limit of the expression as x strategies infinity is:

0 * 0 = 0

Consequently, When x gets closer to infinity, the limit of (2x-1)(3-x)/(x-1)(x+3) is 0.

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The correct option for the given equation is D.

What is an equation?

In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

According to the given equation ,

7x² − 4 − (x² − 4x − 12) ,

we need to simplify the equation,

opening the bracket .

7x² - 4 - x² +4x +12

taking like terms together ,

(7x² -x²) +4x (-4+12)

solving it , we get

6x² + 4x + 8

Hence the option for the given equation is D which is 6x² + 4x + 8.

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Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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There are 27,720 different arrangements of red and yellow roses.

The total number of roses is 8 + 4 = 12. To find the number of different arrangements, we can use the formula for permutations, which is:

n! / (n - r)!

where n is the total number of objects and r is the number of objects we want to arrange.

In this case, we want to arrange all 12 roses, so n = 12. The number of red roses is 8, so r = 8. Therefore, the number of different arrangements of the roses is:

12! / (12 - 8)! = 12! / 4! = 27,720

So there are 27,720 different arrangements of the 8 red roses and 4 yellow roses.

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Answer:

Obtuse triangle

Step-by-step explanation:

Given the side lengths :

3, 9, 10

Let :

a = 3 ; b = 9 ; c = 10 (longest side)

If a² + b² = c² (right angle)

If a² + b² > c² (acute angle)

If a² + b² < c² (obtuse angle)

a² + b²

3² + 9²

9 + 81 = 90

c² = 10² = 100

90 < 100

Hence,

a² + b² < c² (then we have an obtuse triangle)

Answer:

x=5

Step-by-step explanation:

x+3=2x-2

1. take the square root's out

2. subtract -3 from both sides of the equation.

x+3-3=2x-2-3

3. subtract.

x=2x-5

4. subtract 2x from both sides of the equation.

x=-2x=2x-5-2x

5. solve

x=5

The accumulation points of the given function are -1 and 1, with upper and lower accumulation points being 1 and -1 respectively.

To find the accumulation points of a function, we need to determine the values towards which the function approaches as the input approaches certain values. In this case, we have the function 11.9. Since it is a constant function, it takes the value 11.9 for all inputs.

Thus, there are no accumulation points other than the constant value itself, which is -1. However, when considering upper and lower accumulation points, we need to include the endpoints of the interval.

As the function is constant, the upper accumulation point is the maximum value of the function, which is 11.9, and the lower accumulation point is the minimum value, which is also 11.9. Hence, the accumulation points are -1 and 1, with upper and lower accumulation points being 1 and -1 respectively.

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We can conclude the following about the box plots:

Median is the middle value which is represented by a vertical line that divides the rectangular box in a box plot.

Median for Group A is smaller than the median of Group B.

Range of a data set is the difference between the maximum value and the minimum value. Range is a measure of variability. The bigger the range, the more the variability and vice versa.

Range of Group A is larger than range of Group B.

Therefore, we can conclude the following about the box plots:

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Answer:

k

Step-by-step explanation:

Sandy spent more than $2500. She spent a total of $2540.

The amount Sandy spent is a function of the total amount spent on plane tickets, hotel stays and visits to the theme parks.

Total amount = 1200 + 840 + 500 = $2540

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Answer:

Without a table, we can't really complete one.

This can be easier though if you realise that:

y = x^2 - x

is identical to:

y = x(x - 1)

In other words, the table values are just 1 × 0, 2 × 1, 3 × 2, 4 × 3, etc., giving you the series (starting with x = 1)

0,  2, 6, 12, 20, 30, 42, 56, 72, 90, 110, 132, ...

This If you plot this on a graph, it gives you a parabola that opens upward. It's vertex is at (0.5, -0.25)

The value of B in the ANOVA table is 23.209.

The value of C in the ANOVA table is 1.039.

The critical point compared to the F statistic is 2.4977.

The conclusion is option b. Fail to reject the hypothesis that all brands have the same mean mileage.

1. The number of brands of tires the company compared is equal to the degrees of freedom (DF) for the Treatment source, which is given as 2 in the ANOVA table. Therefore, the company compared 2 brands of tires.

2. The value of B in the ANOVA table represents the total sum of squares (SS) for the data. From the table, it is given as 1. To find the value of B, we sum up the sum of squares for both Treatment and Error:

B = SS(Treatment) + SS(Error) = 3.458 + 19.751 = 23.209

3. The value of C in the ANOVA table represents the mean square (MS) for the Error source. It is calculated by dividing the sum of squares (SS) for Error by the degrees of freedom (DF) for Error:

C = SS(Error) / DF(Error) = 19.751 / 19 = 1.039

4. To compare the F statistic in the ANOVA table with the critical point at a significance level of 0.1, we need to find the critical F value corresponding to the degrees of freedom for Treatment (DF(Treatment)) and Error (DF(Error)). From the table, DF(Treatment) is 2 and DF(Error) is 19.

Using a statistical table or calculator, we find that the critical F value at a significance level of 0.1, with 2 degrees of freedom for Treatment and 19 degrees of freedom for Error, is approximately 2.4977 (rounded to four decimal places).

5. To determine the conclusion at a significance level of 0.05, we compare the F statistic in the ANOVA table with the critical F value. From the table, the F statistic is given as 1.6633.

At a significance level of 0.05, if the F statistic is less than the critical F value, we fail to reject the null hypothesis. If the F statistic is greater than or equal to the critical F value, we reject the null hypothesis.

In this case, since 1.6633 is less than 2.4977, the F statistic is not greater than the critical F value. Therefore, the company should fail to reject the hypothesis that all brands have the same mean mileage.

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The probability the property has oil, given that both tests report positive.

P(O|A∩B) = 0.6 * 0.5 / 0.8 = 0.375

P(O|A∩B) = P(A∩B|O)P(O) / P(A∩B)

P(A∩B|O) = 0.8 * 0.75 = 0.6

P(O) = 0.5

P(A∩B) = P(A|O)P(O) + P(A|¬O)P(¬O)

P(A|O) = 0.8, P(¬O) = 0.5

P(A∩B) = 0.8 * 0.5 + 0.8 * 0.5 = 0.8

P(O|A∩B) = 0.6 * 0.5 / 0.8 = 0.375

The study of random events is the focus of probability theory, a subfield of mathematics. It is impossible to predict the outcome of a random event before it happens, although it could take any of numerous different forms. It is believed that chance played a role in how things turned out.

Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.

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Answer: 32

Step-by-step explanation:

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

0 < x ≤ 100 and 0 < y ≤ 300

x > 0 and y > 0

0 < x ≤ 100 and y > 300

0 < x and y < 100

SOLUTION

they only have space to accept 100 out-of-state students,which means that the Maximum number of out-of-state students that can be accepted is 100

Then x= 100(Maximum number of out-of-state students that can be accepted)

They plan to accept three times as many in-state students as out-of-state which means that

Y = 3x(Maximum number of in-state students)

Then we can deduced that the numbee out-of-state students that can be accepted can lyes between the range of 0 and 100 which means from interval 0 to 100

Which can be written as 0 < x ≤ 100

But we need to know the interval for the Maximum number of in-state students(Y), to do that we need to multiply the equation above by 3 since Y = 3x

0 < x ≤ 100

3× 0 = 0

3× X = X

3× 100= 300

Then 0 < 3x≤ 300

But we know that Y = 3x then substitute into last equation

We have

0 < y ≤ 300

ThenBthe constraints to represent the incoming students at the college is

0 < x ≤ 100 and 0 < y ≤ 300

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

took test & got it right

Answer:

The actual length of the ship is 150 meters.

Step-by-step explanation:

The scale of the model is 1 cm:5 meters, which means that every 1 cm on the model represents 5 meters on the ship. Since the model ship is 30 cm long, that means it represents 150 meters on the real ship.

Answer:

  t ∈ (-4.5, 2.25]

Step-by-step explanation:

You want to solve the compound inequality ...

  1/3t -5 < t -2 ≤ -3t +7

We can divide this into two inequalities.

  1/3t -5 < t -2   ⇒   -3 < 2/3t   ⇒   -4.5 < t

and

  t -2 ≤ -3t +7   ⇒   4t ≤ 9   ⇒   t ≤ 2.25

The solution interval is the intersection of these two solutions:

  -4.5 < t ≤ 2.25

  t ∈ (-4.5, 2.25]

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Answer:

\(\textsf{Perimeter}=x^2+10x-1\)

Step-by-step explanation:

The perimeter of a two-dimensional shape is the distance all the way around the outside.

Given sides of a triangle:

Therefore, to find the perimeter of the triangle, sum the given sides:

\(\begin{aligned}\sf Perimeter & = (2x+3)+(8x-4)+x^2\\& = 2x+3+8x-4+x^2\\& = x^2 + 2x+8x+3-4\\& = x^2+10x-1\end{aligned}\)

Perimeter=

Answer:

(2, -6) 2 is on the x-axis and -6 is on the y-axis.

Step-by-step explanation: X-Axis is horizontal and Y is vertical. X can also be remembered as left to right. Y-axis runs up and down. It would be in the IV (fourth) quadrant.

Answer:

Step-by-step explanation:

its in the forth box

Answer: she would have to drive the quick cars car 160 miles (Fee is included) for it to add up to the Miller car rental car.

Step-by-step explanation:

Answer:

y=19.625

Step-by-step explanation:

30+1.4

31.4÷1.6

To check your answer plug in your answer for y

Hope this helps! :)

Answer:

1.6y = 30 + 1.4 both sides multiply by 10x

16y = 314 both sides devide by 2x

8y = 157

y = 157/8 = 19.625

The points on the cone z² = x²y² that are closest to the point (8, 2, 0) are (-4, 1, 0) and (4, -1, 0).

To find the points on the cone that are closest to the given point, we can use the method of Lagrange multipliers. Let's define the distance function D as the square of the distance between a point (x, y, z) on the cone and the point (8, 2, 0). The distance function can be written as D = (x - 8)² + (y - 2)² + z².

We need to minimize D subject to the constraint z² = x²y². Setting up the Lagrange equation, we have:

L = D - λ(z² - x²y²)

Taking partial derivatives with respect to x, y, z, and λ, and setting them equal to zero, we get the following system of equations:

2(x - 8) + 2λxy² = 0

2(y - 2) + 2λx²y = 0

2z - 2λx²y² = 0

z² - x²y² = 0

Solving these equations, we find two solutions: (-4, 1, 0) and (4, -1, 0). These points on the cone are closest to the given point (8, 2, 0).

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Answer:

Your answer is 22

Step-by-step explanation:

(3^2-5+7) = 11

2^2+-2 = 2

So 11*2 = 22

Hope this helps

Answer:

4

Step-by-step explanation:

i dobt even know

Answer:

Step-by-step explanation:

9y+7=2y+98(being vertically opposite angles)

9y-2y=98-7

7y=91

y=91/7

y=13