The diameter of a circle is 6 centimeters. What is the circle's circumference?
Use 3.14 for .
d=6 cm
centimeters

Answer:B

Step-by-step explanation:

B because 3 is still x answers are just flipped

Angle t in the heptagon measures 145°.

A heptagon has a total angle sum of 900°. To find the value of angle t, subtract the sum of the given angles from 900°.

A heptagon is a polygon with seven sides and seven angles. In any polygon, the sum of its interior angles can be calculated using the formula (n-2) × 180°, where n is the number of sides. For a heptagon, there are seven sides (n=7), so the sum of its interior angles is (7-2) × 180° = 5 × 180° = 900°.

Now, you are given six of the seven angle measures: 155°, 110°, 125°, 100°, 150°, and 115°. Add these angle measures together to find the sum of the given angles: 155° + 110° + 125° + 100° + 150° + 115° = 755°.

Finally, subtract the sum of the given angles from the total angle sum of a heptagon (900°) to find the value of angle t: 900° - 755° = 145°.

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The synergy from the merger is $4,125,000.

To calculate the synergy from the merger, we need to compare the value of Fly-By-Night before and after the acquisition of Flash-in-the-Pan Restaurants. The synergy represents the additional value created through the combination of the two firms.

Given that the purchase of Flash-in-the-Pan Restaurants is expected to increase Fly-By-Night's annual after-tax cash flow by $330,000 indefinitely, we can calculate the present value of this incremental cash flow using the appropriate discount rate of 8 percent.

Present Value of Incremental Cash Flow = Incremental Cash Flow / Discount Rate

Present Value of Incremental Cash Flow = $330,000 / 0.08

Present Value of Incremental Cash Flow = $4,125,000

Now, we can determine the value of Fly-By-Night after the merger by adding the present value of the incremental cash flow to its current market value:

Value of Fly-By-Night after Merger = Current Market Value of Fly-By-Night + Present Value of Incremental Cash Flow

Value of Fly-By-Night after Merger = $23 million + $4,125,000

Value of Fly-By-Night after Merger = $27,125,000

The synergy from the merger can be calculated by subtracting the market value of Fly-By-Night before the merger ($23 million) from the value of Fly-By-Night after the merger ($27,125,000):

Synergy = Value of Fly-By-Night after Merger - Current Market Value of Fly-By-Night

Synergy = $27,125,000 - $23 million

Synergy = $4,125,000

Therefore, the synergy from the merger is $4,125,000. This represents the additional value that would be created through the acquisition of Flash-in-the-Pan Restaurants by Fly-By-Night.

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Answer:

5/4

Step-by-step explanation:

After dilation with the given scale factor, the coordinate of M is (-4/3, 2/3)

Dilation of a figure is a transformation that changes the size of the figure while preserving its shape. In a dilation, the figure is either enlarged or reduced by a scale factor, which is a constant ratio. The scale factor determines how much the figure is stretched or compressed.

During a dilation, each point of the original figure is multiplied by the scale factor to determine the corresponding position of the dilated figure. The center of dilation is a fixed point around which the figure is expanded or contracted.

In he figure given, the point M have coordinate at (-2, 1)

After dilation with a scale factor of 2/3, the coordinate of M changes to;

M(-2, 1) = 2/3(-2, 1) = -4/3, 2/3

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To answer this question, we need to know the median and upper quartile of the data set. Once we have these values, we can determine what percentage of the data falls to the right of the median and to the left of the upper quartile.
Let's say the median of the data set is 50 and the upper quartile is 75. To find the percentage of measurements to the right of the median, we need to look at the data values that are greater than 50 and divide that number by the total number of measurements. Let's say there are 40 data values greater than 50 and a total of 100 measurements.

Then, the percentage of measurements to the right of the median would be:

(40/100) x 100% = 40%

To find the percentage of measurements to the left of the upper quartile, we need to look at the data values that are less than or equal to 75 and divide that number by the total number of measurements. Let's say there are 60 data values less than or equal to 75 and a total of 100 measurements. Then, the percentage of measurements to the left of the upper quartile would be:

(60/100) x 100% = 60%


Your answer:
1. 40% of the measurements lie to the right of the median.
2. 60% of the measurements lie to the left of the upper quartile (Q3).

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9)The value of x is 26 degrees

10)The value of x is 13 degrees

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Vertical angles are equal

2x+1=53

=> 2x=53-1 = 52

x=52/2 = 26 degrees

similarly,

5x+1=66

=> 5x=66-1 = 65

=> x=65/5 = 13 degrees

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Sarah's chocolate cake has 300 calories and 15 grams of fat. the percentage of calories from fat in Sarah's chocolate cake is 45%.

To calculate the percentage of calories that come from fat, we need to divide the number of fat calories by the total number of calories and then multiply by 100.

Since we know that 1 gram of fat contains 9 calories, we can calculate the number of fat calories by multiplying the number of grams of fat by 9.

Number of fat calories = 15 grams of fat * 9 calories/gram = 135 calories

Percentage of calories from fat = (Number of fat calories / Total calories) * 100

Total calories = 300 calories

Percentage of calories from fat = (135 calories / 300 calories) * 100

Percentage of calories from fat = 45%

Therefore, the percentage of calories from fat in Sarah's chocolate cake is 45%.

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The percentage of calories from fat in Sarah's chocolate cake is 45%. This calculation is based on the ratio of fat calories to total calories.

To find out the percentage of calories from fat in her cake, we need to divide the amount of total fat calories (15g x 9 calories/gram = 135 calories) by the total amount of calories in the cake (300 calories). We then multiply this ratio (135/300) by 100, which gives us the answer of 45%. Generally, it is recommended that a person's diet should not have more than 25-35% of its total calories from fat.

Therefore, Sarah's chocolate cake is too high in fat to be a part of a well- balanced diet. To reduce the amount of fat in her cake, she should either opt for a different cake recipe or use reduced-fat or low-fat ingredients when baking.

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The coordinates of the middle point M is found as  (-7,0) of the line segment AB.

For the given question;

The two coordinates of the points are given ;

A( -4,4) = (x₁, y₁)

B (-10,-4) = (x₂, y₂)

The middle point M of this line segment is found as;

M(x, y) = (x₁ + x₂)/2 , (y₁ + y₂)/2

Put the values in the formula;

M(x, y) = (-4 - 10)/2 , (4 - 4)/2

M(x, y) = (-14)/2 , 0

M(x, y) = (-7,0)

Thus, the coordinates of the middle point M is found as  (-7,0).

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The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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The comparison between the Puritan governments of Massachusetts and Connecticut is that both were theocracies. Meanwhile, the contrast between the two is the government. The effectiveness of each form of government and its impact on American democracy are different.

Compare and contrast the Puritan governments of Massachusetts and Connecticut:

The Puritan governments of Massachusetts and Connecticut were both theocracies, meaning that they were governed by religious leaders. However, there were some key differences between the two. In Massachusetts, the government was more authoritarian, with strict laws and punishments for those who did not follow the Puritan faith. In contrast, Connecticut had a more democratic government, with elected officials and a system of checks and balances.

Evaluate the effectiveness of each form of government:

The authoritarian government of Massachusetts was effective in maintaining strict adherence to the Puritan faith, but it also led to the persecution of those who did not conform. On the other hand, the democratic government of Connecticut allowed for more religious freedom and was able to adapt to changing circumstances.

Impact on American democracy:

The Puritan governments of Massachusetts and Connecticut had a lasting impact on American democracy. The authoritarian government of Massachusetts influenced the development of strong central governments, while the democratic government of Connecticut influenced the development of representative democracy and the separation of powers.

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The limits of the given functions are 4, 14, -45, -1.8, and DNE respectively.

Given that limx→2f(x)=9, limx→2g(x)=-5, and limx→2h(x)=0, we can find the limits of the following functions by applying the rules of limits:

1) limx→2[f(x) + g(x)] = limx→2f(x) + limx→2g(x) = 9 + (-5) = 4

2) limx→2[f(x) - g(x)] = limx→2f(x) - limx→2g(x) = 9 - (-5) = 14

3) limx→2[f(x) * g(x)] = limx→2f(x) * limx→2g(x) = 9 * (-5) = -45

4) limx→2[f(x) / g(x)] = limx→2f(x) / limx→2g(x) = 9 / (-5) = -1.8

5) limx→2[f(x) / h(x)] = limx→2f(x) / limx→2h(x) = 9 / 0 = DNE (does not exist)

The limits of the given functions are 4, 14, -45, -1.8, and DNE respectively.

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To use systematic random sampling to select dealers from the list of 35 members, we start with the 5th dealer and then select every 6th dealer thereafter. This means we would select dealers numbered 04, 10, 16, 22, 28, and 34. These 6 dealers would be included in the sample for estimating the mean revenue from dealer service departments.
To perform a systematic random sampling of the 35 Metro Toledo Automobile Dealers Association members, you will start with the 5th dealer and select every sixth dealer after that. The dealers included in the sample are as follows: 5, 11, 17, 23, 29, and 35.

random sample  is a subset of individuals (a sample) chosen from a larger set (a population) in which a subset of individuals are chosen randomly, all with the same probability. A simple random sample is an unbiased sampling technique. Simple random sampling is a basic type of sampling.

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Step-by-step explanation:

Did you try clicking the help me solve this option?

True. Empirical research involves using observation and experience to gather data and test hypotheses. This process is primarily logical, as it involves reasoning and making sense of the data. While mathematical tools may be used in some aspects of empirical research, they are not the foundation of the process.

True. Empirical research is primarily a logical operation rather than a mathematical one. Empirical research involves observation and gathering of data through direct experience, experiments, or measurements and hypotheses, which requires logical reasoning and analysis to draw conclusions. While mathematical operations and calculations can be a part of the empirical research process, they are not the main focus. The primary focus is on using logic to interpret the collected data and determine the validity of the results.

By quantifying the evidence or understanding the evidence in a qualitative way, researchers can answer empirical questions that need to be articulated and answered with the data collected (often called data). Research designs vary by field and research question. Many researchers, especially in the social sciences and education, have provided good and varied observation models to better answer questions that cannot be studied in the laboratory.

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Answer:
You will need 80 square feet of tile to cover the kitchen floor, leaving out the area used by the stove and refrigerator.

Step-by-step explanation:

Step 1: Calculate the area of the kitchen floor: 7' x 16' = 112 square feet.

Step 2: Calculate the area of the stove: 3' x 4' = 12 square feet.

Step 3: Calculate the area of the refrigerator: 4' x 5' = 20 square feet.

Step 4: Subtract the areas of the stove and refrigerator from the total area of the kitchen floor: 112 - 12 - 20 = 80 square feet.

Answer:

the intellectual and practical activity encompassing the systematic study of the structure and behaviour of the physical and natural world through observation and experiment.

"the world of science and technology"

Answer:

science is subject which give us practical exaplanation of nature ,universe and chemical.

Answer:

x + 600 ≥ 2400

Step-by-step explanation:

Given:

Amount needed = $2,400

Amount they had = $600

Find:

Amount they need

Computation:

Assume;

Amount they need = x

x + 600 ≥ 2400

Answer:(2.5,5)

Step-by-step explanation: Just find the average of those 2 x’s or those 2 y’s

Answer:

9 batches of cookies

Step-by-step explanation:

1 3/5 -> 1.75 ; 15 3/5 -> 15.75

1.75*9=15.75

9

Answer:

25pi-24 cm²

Step-by-step explanation:

pi(5)²-2(1/2)*6*4

25pi-24 cm²

The area of the shaded region is (25π - 24) sq.cm.

"\(A = \pi \times r^2\), where 'r' is the radius of the circle."

"\(A=\frac{1}{2}\times b\times h\), where b is the base and h is the height."

For given question,

area of the shaded region = area of circle - area of 2 isosceles triangles

First we find the area of the circle:

Here, radius r = 5 cm

So, the area of the circle would be,

\(A=\pi\times r^2\\\\A=\pi \times 5^2\\\\A=25\pi~cm^2\)

Now, for isosceles triangle,

base b = 6 cm

And height h = 5 - 1

                   h = 4 cm

Using the formula for area of the triangle,

\(A=\frac{1}{2}\times b\times h\\\\ A=\frac{1}{2}\times 6\times 4\\\\ A=12~cm^2\)

So, the area of the shaded region would be,

the area of the shaded region

\(= 25\pi - (2 \times 12)\\\\= 25\pi - 24 ~sq.cm.\)

Therefore, the area of the shaded region is (25π - 24) sq.cm.

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Answer:

x ≥ \(\frac{5}{2}\)

Step-by-step explanation:

Given equation:

     4x² -20x + 25≥0​

To solve for x, we simply factorize the equation;

We should find two numbers whose sum = -20 and product is 100

  These two numbers are -10 and -10

So;

    4x² - 10x - 10x + 25 ≥ 0​

   factorize;

    2x(2x - 5) - 5(2x - 5) ≥ 0​

   (2x - 5) (2x - 5) ≥ 0​

    So;

        2x - 5 ≥ 0​

         2x ≥ 5

            x ≥ \(\frac{5}{2}\)

Answer:

choice a is correct i beleive

Step-by-step explanation:

Answer: If one of the roots of the equation 2x^2-bx-20=0 is -2.5, then by Vieta's Formulas, the other root is x = (20 + b)/4.

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Given equation: 2x^2 - bx - 20 = 0

We are also given one of the solutions, which is -2.5.

We can start off by substituting -2.5 in place of x, in the given equation.

This is what it will look like:

2 * (2.5) ^2 - b (-2.5) - 20 = 0

After simplifying, the equation will now look like this:

12.5 + 2.5b - 20 = 0

Now, move all of the similar terms to one side of the equation:

2.5b = 20 - 12.5, which is basically 2.5b = 7.5

b = 7.5/2.5, which is b = 3

Now that we know what the value of "b" is, let's go back to the given equation (2x ^2 - bx - 20 = 0), and substitute "3" in place of "b".

It will look like this:

2x^2 - 3x - 20 = 0

We can now apply the Quadratic formula. The formula looks like this:

(-b ± √b^2 -4ac)

          2a

Substitute the values from the new equation into the formula:

3 ± √9 + 160

         4  

Simplify that:

3 ± 13

   4

You should now have two solutions:

x1 = 3 + 13,   which is x1 = 16/4 = 4            

         4

x2 = 3 - 13 , which is x2=-10/4, = -2.5

        4

Now, the root that was given to us at the start of the problem was -2.5, so the other solution is 4, which we just solved for.

I hope this helps!!

Answer:

Geometry in Mathematics is the study of shape and figures.

Answer:

Geometry refers to a branch of mathematics which is focused on the measurement and relationship of lines, angles, surfaces, solids and points. For instance, the calculation of a triangle's angles is an example of geometry.