1. Determine the lowest common multiple of 4, 9 and 12
A. 30
B. 36
C. 48
D. 54

2. Simplify 80g : 16kg
A. 4 : 5
B. 3 : 4
C. 2 : 7
D. 1 : 20

3. How many square-shaped tiles with sides of y cm that are required to cover 15y × 4y floor?
A. 60
B. 64
C. 72
D. 86

4. Puan Anis bought 8kg of beef which cost RMx per kilogram. She paid with 2 pieces of RM50 note and received a balance of RM4. Find the value of x
A. 12
B. 14
C. 16
D. 18

5. Find the circumference of a circle with radius of 21 cm
A. 66
B. 44
C. 63
D. 132

6. Anita has RMb. She spent RM(2a + 1) per day for a week. Given the balance of her money is RM45, find a formula for b
A. 2a + 46
B. 14a - 38
C. 14a + 45
D. 14a + 52

7. Given 9x²/y² - 3x = 5w, express y in terms of w and x
A. y = x/5w+x
B. y = 3x/5w+3x
C. y = 3x²/5w+3x
D. y = 3x/5w+x

I NEED ANSWERS FOR THESE QUESTIONS TQ :)​

True

What is population?

A population is the entire group of people or a group containing elements that are under consideration, based on which one wants to study or produce some results.

Why is it not feasible to study the entire population?

The population can be very large (geographically or difficult to identify or contact) and it is often difficult or impossible to collect data from every individual.

Hence, it is often not feasible to study the entire population because it is impossible to observe all the items in the population.

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True

What is population?

It is often not feasible to study the entire population because it is impossible to observe all the items in the population.

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Answer:

A)  5 units

Step-by-step explanation:

ABC is a 30-69-90 degree triangle whose sides, respectively, are in the ratio of 1 : \(\sqrt{3}\) : 2

so if the hypotenuse is 10, the side opposite the 30° angle is half of that, or 5

Answer:

Step-by-step explanation:

We can graph the function and determine the points where the y value line is greater than 64 feet.  We could also solve the equation for h = 64.

Graphing:

A graph is attached.  The intersections of the line at height = 64 feet are at (1,64) and (4,64).  The first is going up and the second coming down.  The period of time the rocket is above 64 feet is from 1 to 4 seconds.

Solving:

h= -16t^2+ 80t

64 = -16t^2+ 80t

-16t^2+ 80t - 64 = 0

Solve using the quadratic formula:

We get two answers:  1 and 4 (seconds)

Answer:

The second one. The -2y should have been +2y

Step-by-step explanation:

a negative multiplied by a negative gives you a positive

Answer:

it should be the second answer

Step-by-step explanation:

hope this helps

Firstly, OS is the radius of the circumference. So, OS = OR = OT = OP. So:

Similarly, we can find RQ by:

Because QS is tangent to the circumference, the angle m\(\begin{gathered} OQ^2=OS^2+QS^2 \\ 34^2=16^2+QS^2 \\ QS^2=34^2-16^2=1156-256=900 \\ QS=\sqrt[]{900}=30 \end{gathered}\)So, OQ = 34, QS = 30 and RQ = 18.

The height of the tree and its shadow, and the height of the person and its shadow, at the same time of the day, form two similar right triangles:

Since both triangles are similar, then the corresponding sides are at the same ratio so that:

From this expression, you can determine the height of the tree, just multiply both sides of the equal sign by 5:

The height of the tree is 15 feet.

The rate of change of total revenue is $21 per day, the rate of change of total cost is $38.2 per day, and the rate of change of total profit is $13.3 per day.

Now we need to find dR/dt, which is the rate of change of revenue with respect to time. To do this, we substitute the value of x = 25 into the revenue function R(x) = 3x, which gives us R(25) = 3*25 = 75. This means that the revenue generated at x = 25 is $75.

Next, we differentiate the revenue function R(x) with respect to x to get dR/dx = 3. We can then use this value to find dR/dt as follows:

dR/dt = dR/dx * dx/dt

dR/dt = 3 * 7 (since we are given that x is changing at a rate of 7 units per day)

dR/dt = 21

Therefore, the rate of change of total revenue is $21 per day.

Similarly, to find the rate of change of total cost with respect to time, we need to differentiate the cost function C(x) with respect to time t. The given equation for C(x) is C(x) = 0.01x² + 0.6x + 30. We can use the same method as above to find dC/dt:

dx/dt = dx/dC * dC/dt

To find dx/dC, we first differentiate C(x) with respect to x to get dC/dx = 0.02x + 0.6. We can then invert this equation to get dx/dC as follows:

dx/dC = 1/(0.02x + 0.6)

Substituting x = 25 into this equation gives us dx/dC = 1/6. We can now use this value to find dC/dt as follows:

dC/dt = dC/dx * dx/dt

dC/dt = (0.02x + 0.6) * 7

dC/dt = 1.4x + 4.2

Substituting x = 25 into this equation gives us dC/dt = 38.2. Therefore, the rate of change of total cost is $38.2 per day.

To find the rate of change of total profit with respect to time, we need to first find the profit function P(x), which is given by:

P(x) = R(x) - C(x)

Substituting the given equations for R(x) and C(x), we get:

P(x) = 3x - (0.01x² + 0.6x + 30)

P(x) = -0.01x² + 2.4x - 30

Now we can differentiate P(x) with respect to x to get dP/dx:

dP/dx = -0.02x + 2.4

Using the same chain rule as above, we can relate dx/dt and dx/dP as follows:

dx/dt = dx/dP * dP/dt

We need to find dx/dP, which we can do by inverting the equation for dP/dx:

dx/dP = 1/(-0.02x + 2.4)

Substituting x = 25 into this equation gives us dx/dP = 1/1 = 1. We can now use this value to find dP/dt as follows:

dP/dt = dP/dx * dx/dt

dP/dt = (-0.02x + 2.4) * 7

dP/dt = -0.14x + 16.8

Substituting x = 25 into this equation gives us dP/dt = 13.3. Therefore, the rate of change of total profit is $13.3 per day.

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The residual value will be equal to -1.

A residual is a difference between the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is above the line, negative when it is below the line, and zero when the observed y-value equals the predicted y-value.

Take, for instance, we have the following data entry:

Observed value = 69.4

Predicted value = 70.4

The residual (r) would be:

Residual value = 69.4 - 70.4 = -1

Therefore the residual value will be -1

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The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

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P(X ≤ 2) = 0.636, P(X ≥ 4) = 1 - 0.990 = 0.010

Use the cumulative distribution function for the binomial distribution, 2 or fewer defective products:

P(X ≤ 2) = Σ P(X = k) for k = 0, 1, 2

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X ≤ 2) = (0.961)^22 + 22(0.039)(0.961)^21 + (22!/(2!20!))(0.039)^2(0.961)^20

P(X ≤ 2) = 0.636

To find the probability of finding 4 or more defective products in this batch, we can use the complement rule:

P(X ≥ 4) = 1 - P(X ≤ 3)

Using the cumulative distribution function as before, we can calculate:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X ≤ 3) = (0.961)^22 + 22(0.039)(0.961)^21 + (22!/(2!20!))(0.039)^2(0.961)^20 + (22!/(3!19!))(0.039)^3(0.961)^19

P(X ≤ 3) = 0.990

Therefore, P(X ≥ 4) = 1 - 0.990 = 0.010

If the company finds 5 defective products in this batch, they should consider stopping production, as this is much higher than the expected rate of 3.9%.

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Without knowing the transfer function and the arrangement of poles and zeros, it is not possible to determine the frequency at which the gradient is -40 dB/decade in a Bode plot.

In a Bode plot, the gradient represents the slope of the line that connects two consecutive asymptotes. Each asymptote corresponds to a pole or zero in the transfer function.

Therefore, to determine when the gradient is equal to -40, we need to find the frequency at which two consecutive asymptotes have a 40 dB difference in magnitude.

In general, the magnitude of the transfer function for a system with a single pole or zero can be expressed as:

|H(jω)| = K / |1 + jω/ωp| (for a pole)

or

|H(jω)| = K |1 + jω/ωz| (for a zero)

where K is the system gain, ωp is the pole frequency, and ωz is the zero frequency.

When there are multiple poles and zeros, the magnitude is the product of the individual magnitudes. The phase angle also depends on the number and type of poles and zeros.

For a single pole, the magnitude asymptote has a slope of -20 dB/decade (i.e., a decrease of 20 dB for each increase in frequency by a factor of 10). Therefore, two consecutive poles will have a 40 dB difference in magnitude when the frequency is such that the first pole's magnitude asymptote intersects the second pole's magnitude asymptote. This occurs when the frequency is one decade below the second pole's frequency.

For a single zero, the magnitude asymptote has a slope of +20 dB/decade (i.e., an increase of 20 dB for each increase in frequency by a factor of 10).

Therefore, two consecutive zeros will have a 40 dB difference in magnitude when the frequency is such that the first zero's magnitude asymptote intersects the second zero's magnitude asymptote. This occurs when the frequency is one decade above the second zero's frequency.

In general, when there are multiple poles and zeros, the frequency at which two consecutive asymptotes have a 40 dB difference in magnitude will depend on the specific values and arrangement of the poles and zeros.

Your question seems incomplete. I could not find the exact question details online so I answered in general.

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Answer:

T = 4x - 5

Step-by-step explanation:

Let x = Ben's age

2x = Chloe's age

x - 5 = Dan's age

Combine all the terms and simplify to form an equation.

T = 2x + x + x -5

T = 4x - 5

Given the average cost of a gallon of milk is the dependent variable, and the year is the independent variable, assuming that a linear relationship exists, you can determine the slope and y-intercept values.

Since the relationship is linear, you can use a simple linear regression equation of the form:

y = mx + b where y represents the average cost of a gallon of milk and x represents the year.

For example, if the average cost of a gallon of milk in 1980 is $2.50, and the average cost in 1985 is $3.25, then the slope would be

(3.25 - 2.50) / (1985 - 1980) = 0.15.

This indicates that for every one year increase, the cost of milk increases by $0.15.

The y-intercept can be found by using either of the years and the slope value.

Substituting the slope and y-intercept values into the equation y = mx + b gives the equation

y = 0.15x + b,

where x is the year and y is the average cost of a gallon of milk.

To predict the average cost of a gallon of milk in 1986,

you would substitute x = 1986 into the equation and solve for y.

Therefore, the predicted average cost of a gallon of milk in 1986 would be:

y = 0.15(1986) + b

y = 298.9 + b

where b is the y-intercept.

Since we do not know the value of b, we cannot determine the exact predicted cost of milk in 1986.

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I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

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Answer:

yes

Step-by-step explanation:

Both of the figures have the same perimeter (4n + 4) hence equal in perimeter,

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the perimeter of a rectangle is 2(length + width) and the perimeter of a square is 4×side.

Given, A rectangle with sides of length n+2 and n.

∴ Perimeter = 2((n + 2) + n)

= 2(2n + 2).

= 4n + 4.

Also given, A square with sides of length n + 1.

∴ Perimeter = 4(n + 1).

= 4n + 4.

So, yes the two shapes are equal in the perimeter.

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Answer: ..

Step-by-step explanation:

Wed: 0%

Thu: 30%

Fri: 50%

Sat: 80%

Sun: 100%

I got these answers by taking 100, and subtracting the rain percentage from it. For instance, if it was a 45% to rain, and a unknown amount for it to not rain, I would take 100 and subtract 45 from it, resulting in a 55% chance of it not raining.

Answer:

168

Step-by-step explanation:

Surface area= 2(WL+HL+HW)

2×(4×6+6×6+6×4)

=168

Answer:

Step-by-step explanation:

I think it the choice of A and D

By running the script or calling the function with different values of x, y, and R, you can simulate the behavior of the given function and determine its output based on the conditions specified.

Here's a MATLAB code snippet that simulates the function M(x, y):

function result = M(x, y, R)

   if x^2 + y^2 <= R^2

       result = 1;

   else

       result = 0;

   end

end

To use this function, you can call it with the values of x, y, and R and it will return the corresponding result based on the conditions specified in the function.

For example, let's say you want to evaluate M for x = 3, y = 4, and R = 5. You can do the following:

x = 3;

y = 4;

R = 5;

result = M(x, y, R);

disp(result);

The output will be 1 since x^2 + y^2 = 3^2 + 4^2 = 25, which is less than or equal to R^2 = 5^2 = 25.

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Answer:

g = \(\frac{4}{3}\)

Step-by-step explanation:

4 - \(\frac{1}{12}\) g - 2 = \(\frac{3}{2}\) g + 1 - \(\frac{5}{6}\) g

multiply through by 12 ( the LCM of 12, 2 and 6 ) to clear the fractions

48 - g - 24 = 18g + 12 - 10g

- g + 24 = 8g + 12 ( subtract 8g from both sides )

- 9g + 24 = 12 ( subtract 24 from both sides )

- 9g = - 12 ( divide both sides by - 9 )

g = \(\frac{-12}{-9}\) = \(\frac{12}{9}\) = \(\frac{4}{3}\)

Between Method A with a MAD(Mean Absolute Deviation) of 1.4 and Method B with a MAD (Mean Absolute Deviation) of 1.8, Method A performed better as it has a smaller MAD value.

To decide which estimating strategy performed the leading, we got to compare their Mean Absolute Deviation (Mad) values. Mad may be a degree of the average outright contrast between the genuine values and the forecasted values.

A little Mad esteem shows distant better; a much better; a higher; stronger; an improved" an improved forecasting accuracy, because it implies the forecasted values are closer to the real values.

Hence, between Strategy A with a Mad of 1.4 and Strategy B with a Mad of 1.8, Strategy A performed way better because it incorporates littler Mad esteem.

Be that as it may, it's vital to note that Mad alone does not allow a total picture of the determining execution. Other measurements, such as Mean Squared Blunder (MSE) or Mean Supreme Rate Blunder (MAPE) ought to too be considered to assess the exactness of the estimating strategies.

Furthermore, the setting and reason for the determining ought to too be taken under consideration when choosing the fitting estimating strategy. 

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The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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By using Heron's formula and standard formula for the area of a triangle, the area of the composite figure is 921006.497 square meters.

In this problem we must determine the area of a composite figure, which consists in subtracting the area of an isosceles triangle from the area of the equilateral triangle:

Big triangle

The area of the big triangle is determined by Heron's formula:

s = [3 · (520 m)] / 2

s = 780 m

A = √[(780 m) · (1560 m - 520 m)³]

A ≈936693.077 m²

Small triangle

H = (520 m) · sin 60°

H ≈ 450.333 m

h = 450.333 m - 390 m

h = 60.333 m

A = 0.5 · (520 m) · (60.333 m)

A = 15686.580 m²

Then, the area of the composite figure is 921006.497 square meters.

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According to the angle of incidence, the angle of reflection will also be 36°

Angle of incidence:

In math it means the angle which an incident line or ray makes with a perpendicular to the surface at the point of incidence.

Given,

Here we need to find the If light strikes a plate mirror at a 36° angle of incidence, then what would you expect the resulting angle of reflection to be.

Here we know that, the incident ray, the reflected ray and the normal ray at the point of incidence all lies in the same plane.

Then the angle of incidence is equal to the angle of reflection

And it can be written as,

=> Angle of incidence = angle of reflection

As per the 2nd law given above, we say that if a light ray incident at 45°, then the reflected angle will also be 45°

Here we know that the value of,

=> Angle of incidence = 36°

Therefore, the Angle of reflection = 36°

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The correct answer is B. The drop of 15 percentage points on an economics test exceeded the marginal benefit from a second hour of gymnastics.

This conclusion can be drawn by comparing the marginal benefit and marginal cost of Kate's decision to continue gymnastics for an additional hour. Marginal benefit refers to the additional benefit or satisfaction gained from an extra unit of an activity, while marginal cost refers to the additional cost or sacrifice incurred from that same unit. In this case, Kate's marginal benefit from the first hour of gymnastics was high enough to justify the time and effort invested. However, when she decided to extend her workout for a second hour and cut her study time, the marginal cost of sacrificing study time resulted in a significant drop in her economics grade. This drop of 15 percentage points on the economics test outweighed the marginal benefit she expected to gain from the extra hour of gymnastics.

The decision to continue gymnastics for the first hour had a positive marginal benefit that exceeded its marginal cost. Kate likely felt the physical and mental benefits of exercising, which enhanced her overall well-being and potentially improved her focus and energy levels for studying. However, the decision to extend the workout for a second hour resulted in a significant drop in her economics grade, indicating that the marginal cost of sacrificing study time was higher than the marginal benefit gained from the additional hour of gymnastics. This suggests that Kate should have allocated more time to studying rather than spending an extra hour on gymnastics, considering the impact it had on her academic performance.

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The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

Given that a researcher measures the relationship between two variables, X and Y.

If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.

Correlation coefficient:

The correlation coefficient is a statistical measure that determines the degree of association between two variables.

It is denoted by the symbol ‘r’.

The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.

How to calculate correlation coefficient?

The formula to calculate the correlation coefficient is as follows:

r = SS(XY)/√[SS(X)SS(Y)]

Now, substitute the given values, we get:

r = 340/√[320000]r = 0.34

Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

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The number of communication channels, 1 channels would two people require.

To find number of communication channels, we use;

On the other hand, it might be a sign of the scope and intensity of the project communication management needed in huge projects and so-called megaprojects. This could, for example, entail allocating specific resources to project communication responsibilities in accordance to the number of available channels for communication. These factors may be especially important for teams working on sensitive projects and projects where information flow may be unclear or even fraudulent.

Number of potential communication channels = n x (n-1)/2

Given n = 2;

→ x = 2*(2 - 1)/2

    = 2*1/2

    = 1

The number of communication channels, 1 channels would two people require.

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Answer:

87cm

Step-by-step explanation:

5*10=50

3*10=30

2.5*6=15-(5+3)=7

50+30+7=87cm

American jurists (fill in the names) defined law as predictions of how a court will decide specific legal questions, based on a functional perspective.

American jurists Oliver Wendell Holmes Jr. and Benjamin Cardozo are known for their functionalist approach to defining law. They viewed law not merely as a set of abstract principles or rules, but as a prediction of how courts will decide specific legal questions in practice. According to their perspective, the law should be seen as a dynamic and evolving system that adapts to societal changes and reflects the judgments and decisions of the judiciary. By emphasizing the functional aspect of law, Holmes and Cardozo recognized the importance of considering how legal principles are actually applied and interpreted in real-world scenarios. Their approach acknowledges that the interpretation and application of law by judges can vary and evolve over time, depending on factors such as legal precedent, social context, and the specific facts of the cases before them.

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