expand and simplify (x+1)(x+9)

Analysts use financial ratios rather than absolute numbers because ratios provide a more meaningful and comparative assessment of a company's financial performance.

Ratios allow for a standardized comparison between companies of different sizes and industries, facilitating a better understanding of their financial health, operational efficiency, and profitability.

Furthermore, ratios enable analysts to evaluate a company's performance over time and benchmark it against industry averages and competitors. Some examples of commonly used financial ratios include the current ratio, return on equity (ROE), and earnings per share (EPS).

Current Ratio: The current ratio measures a company's ability to meet its short-term obligations. It is calculated by dividing current assets by current liabilities. For example, if a company has current assets of $500,000 and current liabilities of $250,000, the current ratio would be 2 ($500,000 / $250,000). A higher current ratio indicates a stronger liquidity position, suggesting the company is better equipped to meet its short-term financial obligations.

Return on Equity (ROE): ROE measures a company's profitability relative to its shareholders' equity. It is calculated by dividing net income by average shareholders' equity and multiplying by 100 to express it as a percentage. For instance, if a company has a net income of $1 million and average shareholders' equity of $10 million, the ROE would be 10% ($1 million / $10 million * 100). A higher ROE signifies better profitability and efficient utilization of shareholders' capital.

Earnings per Share (EPS): EPS indicates the profitability of a company on a per-share basis. It is calculated by dividing net income attributable to common shareholders by the weighted average number of outstanding shares. For example, if a company has a net income of $5 million and 10 million weighted average shares outstanding, the EPS would be $0.50 ($5 million / 10 million). A higher EPS implies higher profitability for each share held by investors.

Financial ratios provide valuable insights into a company's financial performance and facilitate better comparisons and analysis. Absolute numbers alone may not convey the same level of meaningful information or allow for easy comparisons between companies. Ratios allow analysts to assess a company's financial health, profitability, liquidity, efficiency, and other key aspects relative to industry peers and historical performance.

They help identify trends, strengths, weaknesses, and potential investment opportunities or risks. While absolute numbers provide essential context, ratios offer a standardized framework for evaluation and decision-making, making them a preferred tool for financial analysis.

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Answer:

False

Step-by-step explanation:

The x-intercepts or roots of the parabola are the locations where a parabola contacts the x-axis. These are the solutions to the parabola equation where the y-value is equal to zero.

A parabola is an open curve formed by the intersection of a right circular cone with a plane parallel to one of the cone's elements. This is known as the standard form of a quadratic function. A parabola is the graph of a quadratic function that is a U-shaped curve. A parabola is the graph of the equation y=x2 illustrated below. Parabolas are classified into three categories. There are three types of forms: vertex form, standard form, and intercept form. Each type offers a unique important characteristic for the graph. The three major forms from which we graph parabolas are known as standard form, intercept form, and vertex form. Each form will provide you with somewhat different information as well as its own set of pros and downsides.

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Answer:

I don't know the exact answer

Step-by-step explanation:

But it is non-Linear. Because it isn't a straight line.

Hope this helps some

The ratio of the height of the tree to the length of the shadow of the tree

is given by the ratio of the height of the frame to its shadow.

Response:

The given information are;

The distance from the tree to the other side of the chasm = 18 + 36 = 54

Length of the shadow cast by the tree = 54 feet

Height of the frame = 55-inch

Length of the shadow created by the frame = 77 inches

By similar triangles, have;

\(\dfrac{Height \ of \ frame}{Length \ of \ shadow \ created \ by \ frame} = \mathbf{\dfrac{Height \ of \ tree}{Length \ of \ shadow \ created \ by \ tree}}\)

Which gives;

\(\dfrac{55}{77} = \mathbf{\dfrac{Height \ of \ tree}{54}}\)

\(Height \ of \ tree = \dfrac{55}{77} \times {54} \approx \mathbf{39}\)

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The value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm.

What is a Normal distribution in statistics?

Data in a normal distribution are symmetrically distributed and have no skew. The majority of values cluster around a central region, with values decreasing as one moves away from the center. In a normal distribution, the measures of central tendency (mean, mode, and median) are all the same.

Given data:

X: height of seaweed.

       X~N (μ;σ²)

       μ= 10 cm

       σ= 2 cm

We have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70

              P(X ≤ x) = 0.30

              P(X ≥ x) = 0.70

Now by using the standard normal distribution,

we have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then use the formula

        Z = (X - μ)/σ

translates the Z value to the corresponding X value.

           P(Z ≤ z) = 0.30

In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.

                  z= -0.52

Now you have to clear the value of X:

        Z= (X - μ)/σ

        X= (Z * σ) + μ

       X = (-0.52 * 2) + 10

         = 8.96

hence, the value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm.

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The mixed number that represents the length of the praying mantis is 10 and 1/2 centimeters. The mantis is 10 centimeters long with an additional 1/2 centimeter, which can be expressed as a mixed number.

To represent the length of the praying mantis, 10.5 centimeters, as a mixed number, we can divide the whole number part and the fractional part. The whole number part is obtained by taking the whole number of centimeters, which is 10. The fractional part represents the remaining length beyond the whole number, which is 0.5 centimeters.

Since there are 2 halves in a whole, we can express 0.5 as 1/2. Therefore, the mixed number representing the length of the praying mantis is 10 1/2 centimeters.

In this case, the whole number part represents the complete units of centimeters, while the fractional part indicates the remaining length less than a whole centimeter. By using a mixed number, we can precisely describe the length of the praying mantis, indicating both the whole number and the fractional part.

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Answer:

10500 dollars

Step-by-step explanation:

350,000 * .03 = 10500

Answer:

72/3. d)

Step-by-step explanation:

You can mark me as brainiest if you want

To calculate the quantity produced from fabrication and finishing hours for Stoneage Surfboards, you would need to have additional information such as the production rate or efficiency of the fabrication and finishing processes. Without specific data on the production rate, it is not possible to determine the exact quantity produced.

However, if you have the production rate, you can use the following formula:

Quantity Produced = Production Rate × Fabrication and Finishing Hours

For example, if the production rate is 5 surfboards per hour and you have 8 hours of fabrication and finishing time, the calculation would be:

Quantity Produced = 5 surfboards/hour × 8 hours = 40 surfboards

Remember to adjust the units and variables based on the specific information and units of measurement used in Stoneage Surfboards' production processes.

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we can conclude that x = 2.665 is the approximate root of the function f(x) = x^2 - 7 using Newton's method with the initial approximation x0 = 3.

Certainly! Newton's method is an iterative numerical method used to find the roots of a given function. In this case, we want to find the roots of the function f(x) = x^2 - 7 using Newton's method with an initial approximation of x0 = 3.

The iteration formula for Newton's method is given by:

x[n+1] = x[n] - f(x[n]) / f'(x[n])

Where x[n] represents the nth approximation and f'(x) is the derivative of the function f(x).

Let's compute the first 10 iterations:

Iteration 1:

x[1] = x[0] - f(x[0]) / f'(x[0])

= 3 - (3^2 - 7) / (2 * 3)

= 3 - (9 - 7) / 6

= 3 - 2 / 6

= 3 - 1/3

= 8/3

≈ 2.667

Iteration 2:

x[2] = x[1] - f(x[1]) / f'(x[1])

= 8/3 - ((8/3)^2 - 7) / (2 * (8/3))

= 8/3 - ((64/9) - 7) / (16/3)

= 8/3 - (64/9 - 63/9) / (16/3)

= 8/3 - 1/9 / (16/3)

= 8/3 - 1/9 * (3/16)

= 8/3 - 1/48

= 128/48 - 1/48

= 127/48

≈ 2.646

Iteration 3:

x[3] = x[2] - f(x[2]) / f'(x[2])

= 127/48 - ((127/48)^2 - 7) / (2 * (127/48))

= 127/48 - ((16129/2304) - 7) / (254/48)

= 127/48 - (16129/2304 - 7) / (254/48)

= 127/48 - (16129/2304 - 16128/2304) / (254/48)

= 127/48 - 1/2304 / (254/48)

= 127/48 - 1/2304 * (48/254)

= 127/48 - 1/48 * (1/254)

= 127/48 - 1/12192

= 157081/58752

≈ 2.665

Iteration 4:

x[4] = x[3] - f(x[3]) / f'(x[3])

≈ 2.665

Iteration 5:

x[5] = x[4] - f(x[4]) / f'(x[4])

≈ 2.665

Iteration 6:

x[6] = x[5] - f(x[5]) / f'(x[5])

≈ 2.665

Iteration 7:

x[7] = x[6] - f(x[6]) / f'(x[6])

≈ 2.665

Iteration 8:

x[8] = x[7] - f(x[7]) / f'(x[7])

≈ 2.665

Iteration

Iteration 8:

x[8] = x[7] - f(x[7]) / f'(x[7])

≈ 2.665

Iteration 9:

x[9] = x[8] - f(x[8]) / f'(x[8])

≈ 2.665

Iteration 10:

x[10] = x[9] - f(x[9]) / f'(x[9])

≈ 2.665

Based on the calculations so far, it appears that the iterations have converged to approximately x = 2.665. However, since the calculations have stabilized and there is no change in subsequent iterations.

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The equation of the statement "6 more than twice the number is 22 is" :

2x + 6 = 22

What is meant by an equation?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

Assuming the complete question is as given in the figure below.

We can assume the number is x.

Now it is given that 6 more than twice the number is 22.

W can write this as a mathematical equation.

It is given that we are taking twice the number x.

This can be written as 2x.

Now to write an equation, it is given 6 more than 2x is equal to 22.

In equation form, it is as follows:

6 + 2x = 22

Therefore the equation of the statement "6 more than twice the number is 22 is" :

2x + 6 = 22

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The statement "sum of a and b integers is a negative integer" is true given that A and B are both negative integers and A is greater than B.

When we add two negative integers, the sum is always negative. This is because adding a negative number is the same as subtracting its absolute value. Therefore, if A and B are negative integers, then A + B will be negative as well.

Since A > B, the sum A + B will be closer in value to A than to B. However, it will still be negative because A and B are both negative integers.

So, the sum of A and B is a negative integer, and the statement is true.

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____ The given question is incomplete, the complete question is given below:

A and B are both negative integers with a>b. Classify this are true or false. sum of a and b integers is a negative integer.

Answer:

6.43 × 10^-4 or 0.000643

Step-by-step explanation:

0.00067 - 2.3 × 10^-5 = 6.7 × 10^-4 - 2.5 × 10^5

6.7 × 10^-4 = 67 × 10^-5

67 × 10^-5 - 2.3 × 10^-5 = 64.3 × 10^-5 = 6.43 × 10^-4

1) There exists a 3.82% probability that at least one right-handed student in this class is forced to utilize a seat designed for a left-hander.

2) There exists a 68.35% probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander.

The binomial probability exists the probability of exactly x successes on n repeated trials, and X can only contain two outcomes.

\($P(X=x)=C_{n, x} \cdot \pi^x .(1-\pi)^{n-x}$$\)

In which \($C_{n, x}$\) exists the number of different combinations of x objects from a set of n elements, given by the following formula.

\($C_{n, x}=\frac{n !}{x !(n-x) !}\)

And π exists the probability of X happening.

Given: 13 % of the students are left-handed and 100 - 13 = 87 % are right handed.

There are 220 sets. Of them, 25 exists designed for left handers and 220-25 = 195 for right handers.

There are 215 students, so n = 215.

In this case, a success is a student being right-handed. So \($\pi=0.87$\).

There are 195 seats for right handed students. If there are 196 or more right handed students, they will have to use a seat designed for a left hander. We have to find \($P(X \geq 196)$\). Utilizing a binomial probability calculator, we find that \($P(X \geq 196)=0.0382$\)

So, there is a 3.82 % probability that at least one right-handed student in this class exists forced to utilize a seat designed for a left-hander.

There are 25 seats for left-handed students. If there exists 26 , or more, at least one exists going to be forced to utilize a seat designed for a right-hander.

In this case, a success is a student being left-handed. So \($\pi=0.13$\).

We have to find \($P(X \geq 26)$\).

Using a binomial probability calculator, we have that \($P(X \geq 26)=0.6835$\)

There exists a 68.35 % probability that at least one left-handed student in this class is forced to utilize a seat designed for a right-hander.

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Answer:

90.03

Step-by-step explanation:

To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

The probability of having 90 or more wins in the next three hours of playing is 0.0506 or 5.06% (approx).

We are required to find the probability of having 90 or more wins in the next three hours of playing a mobile phone game similar to Pokémon, given that the number of successive win follows a Poisson distribution with a mean of 27 wins per hour.

The given mean of Poisson distribution is λ = 27.

The Poisson distribution formula is:P(X = x) = (e^-λ λ^x) / x!

We need to calculate the probability of having 90 or more wins in 3 hours.

We can combine these three hours and treat them as one large interval, for which λ will be λ1 + λ2 + λ3= (27 wins/hour) * 3 hours= 81 wins.

P(X ≥ 90) = 1 - P(X < 90)

To calculate P(X < 90), we can use the Poisson distribution formula with λ = 81.P(X < 90) = Σ (e^-81 * 81^k) / k!, k = 0, 1, 2, ....89= 0.9494

Using the above formula and values, we get P(X ≥ 90) = 1 - P(X < 90)= 1 - 0.9494= 0.0506

Therefore, the probability of having 90 or more wins in the next three hours of playing is 0.0506 or 5.06% (approx).

Hence, the probability of having 90 or more wins in the next three hours of playing is 0.0506 or 5.06% (approx).

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The tangent line at the given point (x, y) = (2, -1) has the parametric equations x(t) = 2t + 1 and y(t) = -3t²

x'(t) = 2t and y'(t) = -3t²

To find the parametric equations for the tangent line at t = 1, we need to calculate the derivatives x'(t) and y'(t) and evaluate them at t = 1.

Taking the derivatives of x(t) and y(t), we have x'(t) = 2t and y'(t) = -3t².

Evaluating x'(t) and y'(t) at t = 1, we get x'(1) = 2 and y'(1) = -3.

At t = 1, the particle's position is given by x(1) = 2 and y(1) = -1.

Therefore, the tangent line at the given point (x, y) = (2, -1) has the parametric equations x(t) = 2t + 1 and y(t) = -3t².


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There is a taxi driver Aiden and he uses M(n) model to determine the money he earned from each drive. As n stands for the drive number, the statement  M(8)<M(4) means that Aiden's fee for the  \(8^t^h\) drive is less than for his \(4^t^h\)  drive.

We know that Aiden is a taxi driver and he uses his M(n) model to find the amount he earned from each drive. In his M(n) model n signifies the drive number.

Given that M(8)<M(4):

In the above statement, M(8) stands for the \(8^t^h\) drive of Aiden, and M(4) stands for the \(4^t^h\) drive of Aiden.

By using his M(n) model, we can conclude the statement  M(8)<M(4) that Aiden earned more money for his \(4^t^h\) drive than he earned for his \(8^t^h\) drive.

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The complete question is:

Aiden is a taxi driver.

M(n) models Aiden's fee (in dollars) for his \(n^t^h\)drive on a certain day.

What does the statement M(8)<M(4), mean?

Answer:

You would pay $90 now for an item that used to cost $150.

Step-by-step explanation:

Here's how I thought of it. There are two ways to solve this problem.

Because we know that the item is discounted by 40%, that leaves 60% of its price left. (100% price - 40% price = 60% price).

Thus, you would multiply $150 by 0.6 (or, 60% in decimal form), which equals $90.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Alternatively, you could also multiply $150 by 0.4 and just subtract what you get from the total. That number is 60, and $150 - $60 = $90.

Use whichever way makes more sense to you!

Answer:

c³ + 24c² + 192c + 512

Step-by-step explanation:

(c + 8)³

= (c + 8)(c + 8)(c + 8) ← expand last 2 factors using FOIL

= (c + 8)(c² + 16c + 64)

Multiply each term in the second factor by each term in the first factor

c(c² + 16c + 64) + 8(c² + 16c + 64) ← distribute parenthesis

= c³ + 16c² + 64c + 8c² + 128c + 512 ← collect like terms

= c³ + 24c² + 192c + 512

Answer:

\(c^{3} + 24 {c}^{2} + 192c + 512 \)

Step-by-step explanation:

Expand the expression

\((c + 8)(c + 8)(c + 8) \\ = {c}^{3} + 3 {c}^{2} \times 8 + 3c \times {8}^{2} + {8}^{3} \\ = {c}^{3} + 24 {c}^{2} 3c \times 64 + 512 \\ = {c}^{3} + 24 {c}^{2} + 192c + 512\)

Answer:

Option 2, y=-3/2x-4

Step-by-step explanation:

Solve with the point-slope formula: y-y1=m(x-x1). The line is perpendicular, meaning the slope of the new equation will be the oppposite reciprocal of the original slope.

First, we need to rewrite the original equation into standard form.

2x-3y=13

-3y=13-2x

y=-13/3+2/3x

From this, we can see that the slope here is 2/3. Since the line we're looking for is perpendicular, the opposite reciprocal of that slope is -3/2.

Now, we can plug in the coordinates we have into the formula (-6, 5), along with our slope (-3/2).

y-(5)=-3/2(x+6)

y-5=-3/2x-9

y=-3/2x-4

And to check, we can just plug the coordinates into our new equation:

Check:

(5)=-3/2(-6)-4

5=9-4

5=5

Answer: B on edg

Step-by-step explanation:

trust me

Answer:

x = (a+b)/C

Step-by-step explanation:

Cx - a = b

add a to each side

Cx = a + b

divide both side by C

x = (a+b)/C

Answer:

x = cost of a chair = £22

y = cost of a table = £65

£765

Step-by-step explanation:

Let

x = cost of a chair

y = cost of a table

4x + 2y = 218 (1)

6x + 7y = 587 (2)

Multiply (1) by 6 and (2) by 4

24x + 12y = 1,308 (3)

24x + 28y = 2,348 (4)

Subtract (3) from (4) to eliminate x

28y - 12y = 2,348 - 1,308

16y = 1,040

y = 1,040/16

y = 65

Substitute y = 65 into (1)

4x + 2y = 218 (1)

4x + 2(65) = 218

4x + 130 = 218

4x = 218 - 130

4x = 88

x = 88/4

x = 22

x = cost of a chair = £22

y = cost of a table = £65

Find the total cost of buying twenty chairs and five tables

20x + 5y

Substitute the values of x and y

20x + 5y

= 20(22) + 5(65)

= 440 + 325

= £765

(a) The range of c₁ (the objective coefficient of x₁) for which this BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ (the right-hand side of the second constraint) for which this BFS remains optimal is 3 ≤ b₂ < 4.

(c) The dual price of the second constraint is 0.

(a) The optimality condition for a linear programming problem requires that the objective coefficient of a non-basic variable (here, x₁) should not increase beyond the dual price of the corresponding constraint. In this case, the dual price of the second constraint is 0, indicating that increasing the coefficient of x₁ will not affect the optimality of the basic feasible solution. Therefore, the range of c₁ for which the BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ for which the BFS remains optimal is determined by the allowable range of the corresponding dual variable. In this case, the dual price of the second constraint is 0, implying that the dual variable associated with that constraint can vary within any range. As long as 3 ≤ b₂ < 4, the dual variable remains within its allowable range, and thus, the BFS remains optimal.

(c) The dual price of a constraint represents the rate of change in the objective function value per unit change in the right-hand side of the constraint, while keeping all other variables fixed. In this case, the dual price of the second constraint is 0, indicating that the objective function value does not change with variations in the right-hand side of that constraint.

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a shape of a right triangle

Answer:

Right Triangle

Step-by-step explanation:

The given statement "sub-average intellectual functioning is defined as an iq approximately two standard deviations below the mean." is true because IQ is normally distributed with a mean of 100 and a standard deviation of 15.

Intelligence quotient (IQ) is a measure of intelligence that is often expressed as a standardized score with a mean of 100 and a standard deviation of 15. According to this scale, a score of 70 or below is generally considered to be indicative of sub-average intellectual functioning.

This corresponds to an IQ approximately two standard deviations below the mean.

Sub-average intellectual functioning is commonly associated with developmental disabilities, such as intellectual dis-ability .

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The area of the polygon with the vertices (-4, 5), (-1, 5), (4, -3), and (-4, -3) is 12 square units.

To calculate the area of the polygon, we can use the shoelace formula, also known as Gauss's area formula or the surveyor's formula. The formula involves writing the x-coordinates and y-coordinates of the vertices in a specific order and performing a series of calculations.

1. We write the x-coordinates of the vertices in one row, repeating the first coordinate at the end: -4, -1, 4, -4.

2. We write the y-coordinates of the vertices in the next row, in the same order: 5, 5, -3, -3.

3. Next, we multiply each pair of adjacent x and y coordinates and add them together in a counterclockwise direction.

4. Then, we subtract the sum of the products of the y-coordinates and the x-coordinates in a counterclockwise direction.

5. Taking the absolute value of this result, we divide it by 2 to obtain the area.

Applying the shoelace formula:

Area = |((-4*5) + (-1*-3) + (4*-3) + (-4*5)) - (5*-1 + 5*4 + -3*-4 + -3*-4)| / 2

    = |-49 - (-25)| / 2

    = |-24| / 2

    = 12 / 2

    = 12.

Therefore, the area of the polygon with the given vertices is 12 square units.

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