y−t/x=m Solve for 'y'.

The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:

ΔU = q - w

where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.

Now, let's address when the quantities q and w would be negative numbers.

1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.

2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.

In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.

In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.

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Answer:

yes

Step-by-step explanation:

your answer is correct

Answer:

115

Step-by-step explanation:

If 65 is subtracted from 180the answer is 115

Answer: its A

Step-by-step explanation:

Answer:

They have completed 50% of the race

Step-by-step explanation:

13 is half of 26. So when putting it in fraction form 13/26 can be equal to 50/100/

Now we can see that our fraction is 50/100, which means that 13/26 as a percentage is 50%.

Answer:

f(x-2)

Step-by-step explanation:

This is because f(x)-2 or f(x)+2 is moving it up or down and f(x+2) seems like it would be the right answer but it is reversed when it's in parenthesis so it would actually be moving 2 to the left.

Answer:

its f (x-2)

Step-by-step explanation:

i got this on my quiz and i got it right! i  hoped this helped!!!

there were 20 teachers on the trip.

To find the number of teachers on the trip, let's set up a system of equations based on the given information.

Let x represent the number of student tickets and y represent the number of teacher tickets. We have two equations:

The total number of people attending the trip is 400: x + y = 400.

The total amount spent for all people to go is $16,100: 40x + 45y = 16,100.

To solve this system of equations, we can use substitution or elimination methods. Let's use the substitution method:

From the first equation, we can express x in terms of y: x = 400 - y.

Substituting this into the second equation, we get: 40(400 - y) + 45y = 16,100.

Simplifying the equation gives us: 16,000 - 40y + 45y = 16,100.

Combining like terms, we have: 5y = 100.

Dividing both sides by 5, we find: y = 20.

Therefore, there were 20 teachers on the trip.

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Answer:

The biggest common factor number is the GCF number. So the greatest common factor 32 and 48 is 16.

Step-by-step explanation:

Answer:

16

Step-by-step explanation

32 =2^5

48 =2^4×3

Prime factor is 2 ^4 =16

Answer:

pt 1 is 3/5

Step-by-step explanation:

cuz i know

Answer:

Step-by-step explanation:

1. 60%

2.  First one takes 3 hours

second one takes 3 hours

Third one does not take three hours

forth one takes 3 hours

fifth one does not take three hours

3. I'm not sure about this one but i think the trip is 20 miles away.

If the regression line is not a straight line, but rather a curve, then it may represent a curvilinear relationship. A positive relationship is when two variables increase together, a negative relationship is when one variable increases while the other decreases, and no relationship is when there is no pattern or correlation between the variables.

The given regression line represents a curvilinear relationship. In a curvilinear relationship, the pattern between the variables is not linear but rather follows a curve. This type of relationship can include both positive and negative trends within the same data set, making it different from strictly positive or negative linear relationships.

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Answer:

y < \(\frac{1}{2}\) x + 5

Step-by-step explanation:

- 3x + 6y < 30 ( add 3x to both sides )

6y < 3x + 30 ( divide through by 6 )

y < \(\frac{1}{2}\) x + 5

with slope m = \(\frac{1}{2}\) and y- intercept = 5

The inequality is in slope-intercept form, y < (1/2)x + 5, where the slope is 1/2 and the y-intercept is 5.

Since Inequality can be defined as the relation which makes a non-equal comparison between two given functions.

To isolate y in the inequality, we need to perform the following steps

Subtract -3x from both sides

-3x + 6y < 30

-3x + 3x + 6y < 30 + 3x

6y < 3x + 30

Divide both sides by 6y/6 < (3/6)x + (30/6)

y < (1/2)x + 5

The resulting inequality is in slope-intercept form, y < (1/2)x + 5,

Hence the slope is 1/2 and the y-intercept is 5.

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D. The project timeline not including holidays which the team members plan to take off does not represent a constraint described in Dempster's triangle.

The constraints described in Dempster's triangle are related to project scope, time, and resources, and typically include limitations on budget, technology, staffing, and other factors that may impact project success. While holidays may impact project scheduling, they are not typically considered a constraint in the same sense as other Dempster's triangle that directly impact project deliverables.

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The linear function f with the given values f(0) = 2, f(3) = -1 is f(x) = -x + 2.

What is Linear Function?

A straight line on the coordinate plane is represented by a linear function.

The linear function formulas are:

Here, we have

The given functions are f(0)=2 and f(3) = -1

For f(0) = 2

Coordinate: (0,2)

y-intercept, c: 2

For f(3) = -1

Coordinate: (3,-1)

gradient or slope, m when x₁ = 0, y₁ = 2, x₂ = 3, y₂ = -1

=( y₂-y₁)/(x₂-x₁)

= ( -1 -2)/(3 - 0)

= -3/3

= -1

The linear equation is in the slope-intercept form, y=mx+c

f(x) = -x+2, where -1 is the slope and 2 is the y-intercept.

Hence, The linear function f with the given values f(0) = 2, f(3) = -1 is f(x) = -x + 2.

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Answer:

12% of 2500 is 300

Step-by-step explanation:

\(\frac{12}{100} = \frac{300}{y}\)

12 × y = 100 × 300

12y = 30000

12y ÷ 12 = 30000 ÷ 12

y = 2500

Here is a formula for most fraction problems.

Answer:

45x

Hope this helps :)

Step-by-step explanation:

- 15x (- 3) = 45 x

Answer:

Set D is not a function because there are two 2's in the X column

Answer:

$18.49

Step-by-step explanation:

10.99+(1.25x6)

Answer:

18.49

Step-by-step explanation:

1.25s

1.25(6) = 7.5

7.5+10.99

(tell me if this helped)

The length of the segment ST is 1.5 cm

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

Dilation by scale factor = 0.5

Segment AD has a length of 3 cm

using the above as a guide, we have the following:

Length of the segment ST = scale factor * length of segent AD

Substitute the known values in the above equation, so, we have the following representation

Length of the segment ST = 0.5 * 3

Evaluate

Length of the segment ST = 1.5

Hence, the length of the segment ST is 1.5 cm

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i dont know ethrreer

Step-by-step explanation:

Answer:

Step-by-step explanation:The distributive property dictates that:

a(b + c) = ab + ac

Thus,

(0.7 x 0.7) + (0.7 x 0.9) + (0.7 x 0.2)

= 0.7(0.7 + 0.9 + 0.2)

follows the distributive property. The third option is correct.

it increases 3° each hour

3*2= 6

6° after 2 hours

3*3= 9

9° after 3 hours

3*6= 18

18° after 6 hours

The negative sign indicates that the power is flowing in the negative x-direction.

To solve this problem, we can use the relationships between the electric field (E), magnetic field (H), and power density (P) in electromagnetic waves.

Given:

Incident H field phasor: H = ay8e30x (A/m)

Relative electrical permittivity of the dielectric medium: εr = 4

Boundary surface area radius: r = 60 cm = 0.6 m

We'll go through each part of the problem step by step:

a) Electric field phasor:

The relationship between the electric field and magnetic field in a plane wave is E = (1/η) x H, where η is the intrinsic impedance of the medium.

The intrinsic impedance of a dielectric medium is given by η = η0/√εr, where η0 is the impedance of free space (approximately 377 Ω).

Substituting the values, we have:

η = η0/√εr = 377/√4 = 188.5 Ω

Thus, the electric field phasor is:

E = (1/η) x H = (1/188.5) x (ay8e30x) = (ay4.22e-2x) V/m

b) Average incident power density vector:

The average power density (P) of an electromagnetic wave is given by P = (1/2)Re(E x H*), where H* denotes the complex conjugate of H.

Taking the real part, we have:

P = (1/2)Re(E x H*) = (1/2)Re[(ay4.22e-2x) x (ay8e30x)*]

= (1/2)Re[(-32.16ae28x)] = -16.08e28x W/m²

The negative sign indicates that the power is flowing in the negative x-direction.

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Integral ≈ 904

Let's evaluate the integral of the given function:

∫[-5(-x³ - 10x² - 32x - 36)]dx from -2 to 2 First, we can distribute the -5 to each term inside the parentheses: ∫(5x³ + 50x² + 160x + 180)dx

Now, let's find the antiderivative of the function: Antiderivative: (5/4)x^4 + (50/3)x³ + 80x² + 180x + C

Now, we'll evaluate the antiderivative at the limits of integration, 2 and -2:

F(2) = (5/4)(2^4) + (50/3)(2^3) + 80(2^2) + 180(2) F(-2) = (5/4)(-2^4) + (50/3)(-2^3) + 80(-2^2) + 180(-2)

Now, subtract F(-2) from F(2) to get the integral value: Integral = F(2) - F(-2) Perform the arithmetic operations to get the final answer: Integral ≈ 904

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Answer:

3.14 mph

Step-by-step explanation:

5.5 divided by 1.75

5.5 is the miles

1.75 is the hours

Answer: The average speed on the return trip is 2.44 miles/h

Step-by-step explanation:

Answer:

The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio

Step-by-step explanation:

The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio

Answer:

4 hours to paint all 4 of walls

Step-by-step explanation:

well is it takes her 20 minutes to paint 1/3 of a wall and there is 4 walls to 1/3 on each it would take her 20 minutes for 1/12(total of 4 walls) you would do 20x12 which is 240 then divided by 60 which is 4 so the answer is 4.

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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