write the given roots to quadraatic equation

Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.

1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.

3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).

4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.

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The five properties of triangle is listed below.

The term triangle is defined as the polygon with three angle, sides and vertices.

Here we have to list down the properties of triangle.

The basic five properties of triangle are as follows:

1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.

2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.

3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.

4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.

5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.

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Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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The answer is 237.55

Define Percentage

A ratio or figure stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

Given expression is,

125.8% of £188.83

Rewrite it as,

⇒ 125.8 / 100 * 188.83

⇒ 1.258 * 188.83

⇒ 237.54814

⇒ 237.55 (rounded to 2 Decimal places)

Hence, the answer is 237.55

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The constraint that is NOT valid is " \(y > = 5x + 30\) "

To determine the constraints, we analyze the given information. The farmer has a 500-acre farm, and she wants to optimize her planting strategy for wheat and corn. Each acre of wheat requires 1 person-day of labor and $20 in expenses, while each acre of corn requires 5 person-days of labor and $30 in expenses. The farmer has a budget of $11,400 and 1480 person-days of labor available.

To maximize profit, we consider the profit per acre for each crop, which is $90 for wheat and $120 for corn. Let x represent the acres of wheat and y represent the acres of corn.

The constraints are as follows:

By considering these constraints, the farmer can determine the optimal combination of wheat and corn planting to maximize profit while adhering to resource limitations.

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Linear equations are a subset of non-linear equations, and the equation 3xy = 9 is a non-linear equation.

The equation 3xy = 9 is not a linear equation. It is a non-linear equation. Linear equations are first-degree equations, meaning that the exponent of all variables is 1. A linear equation is represented in the form y = mx + b, where m and b are constants.

The variables in linear equations are not raised to powers higher than 1, making it easier to graph them. In contrast, non-linear equations are any equations that cannot be written in the form y = mx + b. Non-linear equations have at least one variable with an exponent that is greater than or equal to 2. Non-linear equations are harder to graph than linear equations.

The answer is false, the equation 3xy = 9 is a non-linear equation, not a linear equation. Non-linear equations are any equations that cannot be written in the form y = mx + b. They have at least one variable with an exponent that is greater than or equal to 2.

Linear equations are a subset of non-linear equations, and the equation 3xy = 9 is a non-linear equation.

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Answer:

33 miles

Step-by-step explanation: I think it is correct

Monday: 3 miles

Tuesday: 10 miles

Wednesday: 20 miles because 10 x 2 = 20

3 miles + 10 miles + 20 miles = 33 miles

Hope this helps!

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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According to the scree plot, if we want to preserve 80% of the variance, the smallest projection dimension d would be 5.

The scree plot is a diagnostic tool in factor analysis that aids in determining the number of significant factors to retain. It plots eigenvalues against factor number, with the first factor representing the highest variance in the data set.

The scree plot represents the eigenvalues of the factors. The total variance in the original dataset can be expressed as the sum of the eigenvalues of the factors. If we choose to retain fewer factors, the overall variance preserved will be less, resulting in less precise results.

If we want to keep the most variance possible while maintaining a reasonable level of abstraction, we can look at the scree plot's “elbow.” This represents a point on the scree plot where the eigenvalues decrease dramatically.

Therefore, We should retain all of the factors to the left of the elbow, as they represent the most significant eigenvalues that account for the most variance in the data. If we want to preserve 80% of the variance, the smallest projection dimension d would be 5.

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Answer:

0.5

Step-by-step explanation:

4m⁻³n⁻⁵ when m is 2 and n is 1

→ Rewrite with values substituted in

4 × ( 2 )⁻³ × ( 1 ) ⁻⁵

→ Evaluate

0.5

Answer:

\( \cos(75 \degree) = \cos(45 \degree + 30\degree) \\ \\ = \cos(45\degree) \cos(30\degree) - \sin(45\degree) \sin(30\degree) \\ \\ = ( \frac{1}{ \sqrt{2} } ).( \frac{ \sqrt{3} }{2} ) - ( \frac{1}{ \sqrt{2} } ).( \frac{1}{2} ) \\ \\ = \frac{ \sqrt{3} }{2 \sqrt{2} } - \frac{1}{2 \sqrt{2} } \\ \\ = \frac{ \sqrt{3} - 1}{2 \sqrt{2} } \\ \\ = \frac{0.73205}{2.828427} \\ \\ = 0.2588\)

You can use the cosine addition formula cos(A + B) = cos(A)cos(B) - sin(A)sin(B) to find the exact value of cos(75°) and the exact value of cos(75°) is (√3 - 1)/(2√2).

The cosine addition formula states that cos(A + B) = cos(A)cos(B) - sin(A)sin(B).

In this case, we can rewrite 75° as 30° + 45°.

So, we have cos(75°) = cos(30° + 45°).

Using the cosine addition formula, cos(30° + 45°) = cos(30°)cos(45°) - sin(30°)sin(45°).

Now, we know the exact values of cos(30°) =  √3/2 and sin(30°) = 1/2 from the unit circle.

To find the exact value of cos(45°), we can use the fact that it is equal to sin(45°) because both angles are present in the same right-angled isosceles triangle.

Therefore, cos(45°) = sin(45°) = 1/√2.

Substituting these values;

(75°) = (√3/2)(1/√2) - (1/2)(1/√2)

Simplifying;

cos(75°) = (√3/2√2) - (1/2√2).

cos(75°) = (√3 - 1)/(2√2).

So, the exact value of cos(75°) is (√3 - 1)/(2√2).

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Answer:

x= -2 y= -1

Step-by-step explanation:

stack the 2 equations on top of each other and add them together

the 2x and -2x cancel out and you are left with -9y=9

this gives you y= -1

you plug the y value into one of the equations:

2x - (-1) = -3

2x+1 = -3

2x= -4

x= -2

Answer:

30 is the perimeter i think 2 x 5 = 10 + 2 x 4.5 = 10 x 2 = 20 so 20 + 10 = 30

I think the area is 45, 5 x 4.5 = 22.5 and 2 x 22.5 = 45

Wait for more responses if needed please.

Answer:

There are infinity answers to this

Step-by-step explanation:

Answer:

B=3

Step-by-step explanation:

The media nature according to the question are explained.

4) the First Communication Revolution refers to the advent of print media.

5) Diversified ownership and Vertical integration

6) State control and Propaganda and censorship

7) Influence and power and Financial gains

8) Horizontal integration of the mass media refers to the consolidation of media companies.

4) According to Biaggi, the First Communication Revolution refers to the advent of print media, which allowed for the mass production and dissemination of information through books, newspapers, and other printed materials.

It was characterized by the democratization of knowledge, as information became more widely accessible to the general population.

On the other hand, the Second Revolution, as described by Biaggi, refers to the rise of electronic media, particularly television and radio.

This revolution brought about a new era of mass communication, where information and entertainment could be transmitted over long distances and consumed by large audiences simultaneously.

Unlike print media, electronic media relied on audiovisual elements, making it more engaging and influential in shaping public opinion.

5) Two features of media conglomerates are:

a) Diversified ownership: Media conglomerates typically own a wide range of media outlets across different platforms, such as television networks, radio stations, newspapers, magazines, and online platforms. This diversification allows them to reach a larger audience and have a significant influence on the media landscape.

b) Vertical integration: Media conglomerates often engage in vertical integration, which involves owning different stages of the media production process. For example, a conglomerate may own production studios, distribution networks, and exhibition platforms. This control over various aspects of media production allows them to maximize profits and maintain dominance in the industry.

6) Two characteristics of the Soviet-Communist philosophy of the press were:

a) State control: Under the Soviet-Communist philosophy, the press was considered a tool of the state and was tightly controlled by the government. Media outlets were owned and operated by the state or closely aligned with its interests. This control allowed the government to shape and manipulate the information presented to the public, often promoting the ideology of the ruling party.

b) Propaganda and censorship: The Soviet-Communist philosophy of the press emphasized the use of media for propaganda purposes. News and information were often biased and skewed to support the government's narrative and suppress dissenting viewpoints. Censorship was prevalent, and media content was heavily regulated to ensure it aligned with the party's ideology and objectives.

7) Two reasons why individuals own or want to own the media are:

a) Influence and power: Owning the media provides individuals with significant influence and power over public opinion. Media ownership allows them to shape narratives, promote their interests, and advance their agendas. It can also provide access to key decision-makers and facilitate influence over public policy.

b) Financial gains: Media ownership can be a lucrative business venture. Through advertising revenue, subscriptions, or licensing agreements, media owners can generate substantial profits. Additionally, owning media outlets can create synergies with other businesses, such as cross-promotion and branding opportunities, leading to increased revenue streams.

8) Horizontal integration of the mass media refers to the consolidation of media companies that operate in the same stage of the media production process or within the same industry. It involves the acquisition or merging of media companies that are similar in nature or function. For example, a horizontal integration would occur if a newspaper company acquires other newspapers or a television network merges with another television network. This consolidation allows media companies to expand their reach, eliminate competition, and potentially increase their market share and profitability.

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Research finds that a blend of drill in computing and "number sense" is most beneficial with regards to teaching mathematics.

A blend of drill in computing and "number sense" is most beneficial when teaching mathematics because it allows students to develop both procedural fluency and conceptual understanding. Rote memorization of math facts and rules and computation drills alone focus only on procedural fluency and can lead to students who can solve problems mechanically without understanding the underlying concepts.

On the other hand, focusing solely on "number sense" can lead to students who struggle with computational skills and may have difficulty applying mathematical concepts to real-world problems. A balanced approach that includes both procedural fluency and conceptual understanding allows students to develop a strong foundation in mathematics that will serve them well in future learning and problem-solving.

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Answer:

(4, 5)

Step-by-step explanation:

Calculate the midpoint using the midpoint formula

midpoint = [( + ), ( + ) ]

with (,  ) = (1, 2) and (,  ) = (7, 8)

midpoint = [(1 + 7), (2 + 8) ]

              = (4, 5)

Answer:

30.8

Step-by-step explanation:

We can mutiply 246 by 0.125 to get the answer.

246 * 0.125 = 30.75 = 30.8

Answer:

30.8 megabytes

Step-by-step explanation:

We know that 12.5% of the 246 megabytes have been downloaded.

Of, means multiply. Therefore, we must multiply 12.5% and 246.

12.5%*246

Convert 12.5% to a decimal. Divide 12.5 by 100, or move the decimal place two spots to the left.

12.5/100=0.125

12.5–> 1.25 —> 0.125

0.125*246

Multiply

30.75

We need to round to the nearest tenth. The 5 in the hundredth place indicates that we must round the 7 in the tenth place up to a 8.

30.8

30.8 megabytes have been downloaded.

Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

Answer: x=12/5–2y/5, and same thing x=28/+2y/5

Step-by-step explanation:

Answer:

the y-intercept of Function A is less than the y- intercept of Function B

Step-by-step explanation:

first, identify each coordinate that has instegers only

(x, y)

function A y-int: (0, -86)

function B y-int: (0, -4)

Answer:

Yes they should be congruent ones just at a different angle.

Step-by-step explanation:

Steps to solve:

c - 12 = 3

~Add 12 to both sides

c = 15

Best of Luck!

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{c = 15}}}}}\)

Step-by-step explanation:

\( \sf{c - 12 = 3}\)

Move 12 to right hand side and change it's sign

\( \dashrightarrow{ \sf{c = 3 + 12}}\)

Add the numbers: 3 and 12

\( \dashrightarrow{ \sf{c = 15}}\)

Hope I helped!

Best regards! :D

Step-by-step explanation:

1×10+7×1+2×0.1

= 10+7+0.2

= 17.2

We can estimate with 98% confidence that the true proportion of women in Europe who use the internet lies within the range of 0.513 to 0.603.

Based on the given study of 600 internet users in Europe, where 335 of them were women, we can estimate the true proportion of women in Europe who use the internet using a confidence interval.

To calculate the confidence interval for the true proportion of women, we can use the formula:

CI = \($\hat{p}$\) ± z * √(\($\hat{p}$\)(1-\($\hat{p}$\)) / n)

where:

\($\hat{p}$\) is the sample proportion of women (335/600)

z is the z-score corresponding to the desired level of confidence (98% corresponds to a z-score of approximately 2.33)

n is the sample size (600)

Plugging in the values, we can calculate the confidence interval:

\($\hat{p}$\) = 335/600 = 0.5583

z = 2.33

n = 600

CI = 0.5583 ± 2.33 * √((0.5583 * (1-0.5583)) / 600)

Calculating the expression inside the square root, we get:

√((0.5583 * (1-0.5583)) / 600) ≈ 0.0221

Therefore, the confidence interval estimate for the true proportion of women in Europe who use the internet is:

CI = 0.5583 ± 2.33 * 0.0221

This can be further simplified as:

CI = (0.513, 0.603)

Thus, we can estimate with 98% confidence that the true proportion of women in Europe who use the internet lies within the range of 0.513 to 0.603.

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Answer:

-10 -2d+7=8-10-3d

-2d + 7 =8 -3d

-2d + 7 =3d = 8

-2d + 3d = 8-7

d=8-7

d=1

Answer:

\(d = 1\)

Step-by-step explanation:

Step 1:  Combine like terms

\(d - 10 - 2d + 7 = 8 + d - 10 - 3d\)

\((d - 2d) + (-10 + 7) = (8 - 10) + (d - 3d)\)

\((-d) + (-3) = (-2) + (-2d)\)

Step 2:  Add 2d to both sides

\(-d + 2d - 3 = -2 - 2d + 2d\)

\(d - 3 = -2\)

Step 3:  Add 3 to both sides

\(d - 3 + 3 = -2 + 3\)

\(d = 1\)

Answer:  \(d = 1\)

An overall shape of a modified tetrahedral with three tetrahedrals embedded within. The three carbons are all central atoms.

Answer:

FH = 38

Step-by-step explanation:

Here, given the point of intersection of the two diagonals at E, we want to calculate the length of FH

The point of intersection of the diagonals is the midpoint of each as the diagonals bisect each other

thus,

3x + 4 = 5x - 6

5x-3x = 6+ 4

2x = 10

x= 10/2

x = 5

but Eg is 5x-6

and FH = 2EG

FH = 2(5x-6)

FH = 10x - 12

Substitute x = 5

FH = 10(5) -12

FH = 50-12

FH = 38

The length of FH is 38.

3x + 4 = 5x - 6

5x-3x = 6+ 4

2x = 10

x = 5

Here EG is 5x-6

and FH = 2EG

So,

FH = 2(5x-6)

=  10x - 12

Substitute x = 5

= 10(5) -12

= 50-12

= 38

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Step-by-step explanation:

mean is all the numbers added together, which is 35 and divide by the amount of numbers so 35 divide 5 is 7. Mean= 7

Medial is the number in the middle so 4 is the medial. Because it is in the middle of all the numbers.

Hope this helps.