The scale on a map is 1 : 50000.
How many kilometres on the ground are represented by 8cm on the map?

The division gives the Quotient 180.

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

Given:

We have to divide 1 thousand 8 hundreds divide by 10

So, 1800 ÷ 10

The Division is as follows:

                                        10 | 1800 | 180

                                               10

                                             ____

                                               80

                                               80

                                               ____

                                                  0

Thus, the Quotient is 180.

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The dimensions of the plot would be length = 28 feet and width = 9.5 feet.

Let l be the length and w be the width of the rectangular plot.

A farmer needs to enclose three sides of a plot with a fence and the farmer has 47 feet of fence

So, 2w + l = 47 feet

l = 47 - 2w

Area of the plot = w*l

Also, a farmer wants the plot to have an area of 266 sq-feet.

Area = w(47 - 2w)

266  = 47w - 2w²

2w² - 47w + 266 = 0

We solve above quadratic equation.

w = 14 or w = 9.5

The width should be less than the length so w = 9.5

l = 47 - 2(9.5)

l = 47 - 19

l = 28 feet.

Therefore, the dimensions of the plot:

length = 28 feet and width = 9.5 feet .

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Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.

Step-by-step explanation:

in other words is like x,y,z or any other letters

Answer/Step-by-step explanation:

7. (3x⁴ + 5x² - 1) + (2x³ + x)

Distribute +1 to each term in the parentheses by your right.

3x⁴ + 5x² - 1 + 2x³ + x

Rewrite in standard form

3x⁴ + 2x¾ + 5x² + x - 1

8. (4x² + 7x - 4) + (x² - 7x + 14)

Distribute +1 to each term in the parentheses by your right.

4x² + 7x - 4 + x² - 7x + 14

Collect like terms and add together

4x² + x² + 7x - 7x - 4 + 14

5x² + 10

9. (2x³ + 6x² - 5x) + (x⁵ + 3x² + 8x + 4)

2x³ + 6x² - 5x + x⁵ + 3x² + 8x + 4

Collect like terms and add together

2x³ + 6x² + 3x² - 5x + 8x + x⁵ + 4

2x³ + 9x² + 3x + x⁵ + 4

Rewrite in standard form

x⁵ + 2x³ + 9x² + 3x + 4

10. (-6x⁵ - 2x + 13) + (4x⁵ + 3x² + x - 9)

-6x⁵ - 2x + 13 + 4x⁵ + 3x² + x - 9

Collect like terms

-6x⁵ + 4x⁵ - 2x + x + 13 - 9 + 3x²

Add like terms

-2x⁵ - x + 4 + 3x²

Rewrite in standard form

-2x⁵ + 3x² - x + 4

11. (5x² + 7x + 2) - (3x² + 6x + 2)

Distribute -1 to each term in the parentheses by your right.

5x² + 7x + 2 - 3x² - 6x - 2

Collect like terms

5x² - 3x² + 7x - 6x + 2 - 2

2x² + x

12. (10x⁴ + 2x² + 1) - (3x⁴ + 3x + 11)

Distribute -1 to each term in the parentheses by your right.

10x⁴ + 2x² + 1 - 3x⁴ - 3x - 11

Collect like terms

10x⁴ - 3x⁴ + 2x² + 1 - 11 - 3x

7x⁴ + 2x² - 10 - 3x

Rewrite in standard form

7x⁴ + 2x² - 3x - 10

13. (7x³ - 3x + 7) - (4x² - 3x - 11)

Distribute -1 to each term in the parentheses by your right.

7x³ - 3x + 7 - 4x² + 3x + 11

Collect like terms

7x³ - 3x + 3x + 7 + 11 - 4x²

7x³ + 18 - 4x²

Rewrite in standard form

7x³ - 4x² + 18

14. (x⁴ - 1) - (x⁴ + 1)

Distribute -1 to each term in the parentheses by your right.

x⁴ - 1 - x⁴ - 1

Collect like terms

x⁴ - x⁴ - 1 - 1

-2

The chance that a randomly selected individual found to have a positive result actually has the disease is called the Positive Predictive Value (PPV). What is the chance that a randomly selected individual found to have a positive result actually has the disease?

The probability that a randomly chosen individual with a positive test result really has the disease is referred to as the Positive Predictive Value (PPV). It reflects how well the test can detect disease in those who have it. In statistics, the PPV is calculated as follows:

PPV = True Positives / (True Positives + False Positives) x 100

In addition, the PPV is influenced by a variety of factors, including the disease's prevalence, the sensitivity and specificity of the test, and the prevalence of the disease in the population.

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To estimate equity beta using a regression approach, you would typically follow these steps:

Gather historical price data for the stock or equity you want to analyze, as well as the corresponding market index data. The market index should represent the overall market movement, such as the S&P 500 or the relevant industry index.

Calculate the periodic returns for both the equity and the market index. These returns are typically calculated as the percentage change in prices over a specific time period, such as daily, weekly, or monthly.

Run a linear regression analysis, with the equity returns as the dependent variable and the market index returns as the independent variable. The slope of the regression line represents the beta coefficient.

Interpret the estimated beta coefficient. A beta greater than 1 indicates that the stock tends to be more volatile than the overall market, while a beta less than 1 suggests lower volatility compared to the market. A beta of 1 indicates that the stock moves in line with the market.

Now, let's discuss potential problems when estimating beta:

Non-stationarity: Beta estimation assumes that the relationship between the equity and the market index is stable over time. However, if there are structural changes in the market or the company, the estimated beta may not accurately reflect the future relationship.

Time period selection: The length of the time period used for estimating beta can impact the results. Different time periods may yield different beta estimates, which could introduce variability and uncertainty.

Volatility clustering: Financial markets often experience periods of high volatility followed by periods of low volatility. If the estimation period includes both volatile and calm periods, it may result in an inflated or deflated beta estimate.

Thin trading or illiquidity: Stocks with low trading volumes or limited liquidity may have more pronounced price swings, leading to unreliable beta estimates. The lack of trading activity can make it challenging to capture the stock's true risk characteristics.

Company-specific factors: Beta estimation assumes that all the risk associated with the stock is systematic, or market-related. However, some companies may have unique factors, such as industry-specific risks or company-specific events, which can affect their stock returns and introduce noise in the beta estimation.

It is important to consider these potential problems when estimating beta and interpret the results cautiously, keeping in mind the limitations and assumptions associated with the regression approach.

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Answer:

2/5

Step-by-step explanation:

We can find the slope by using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 7 -5)/(9 - 4)

   = 2/5

5. The value of x in the figure is

7. Length of arc AD is 125 degrees

8. Angle ROT is 36.87 degrees

The length of chord x is solved using Pythagoras theorem as follows

5.

let x/2 = y then we have

y² = 12² - 9 ² = 144 - 81 = 63

y = √63 = 3√7

and x/2 = y = 3√7. so x = 6√7

7. BD is the diameter hence arc BAD = 180 degrees

if arc ABC is 110 then arc BA = 110 /2 = 55

Arc AD = arc BAD - arc BA

Arc AD = 180 - 55

Arc AD = 125 degrees

8. Angle ROT = arc sin (3/5)

Angle ROT = 36.87 degrees

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If both confidence intervals were correctly calculated (6. 53, 7. 95) is the 90 percent level. Therefore, the correct option is A.

To determine which confidence interval corresponds to the 90 percent level and the 98 percent level, we can look at the width of the intervals. The interval with the larger width is the one with a higher confidence level because it accounts for more possible variation in the data.

The first interval (6.53, 7.95) has a width of 7.95 - 6.53 = 1.42.

The second interval (6.20, 8.28) has a width of 8.28 - 6.20 = 2.08.

Since the second interval has a larger width, it corresponds to the higher confidence level of 98 percent. Therefore, the first interval corresponds to the 90 percent confidence level. The correct answer is option A. (6.53, 7.95) is the 90 percent level.

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The participants' most ethical option would have been to let the computer assign the two assignments at random.

A highly transferable skill set that is highly valued in a range of employment routes is analytical and critical reasoning. No matter their field, the most prevalent quality of effective researchers is their ability to think critically and analytically. This skill enables you, whether you're a graduate student or a working person, to efficiently move through the various stages of the research process, including gathering and synthesizing data, assessing conflicting evidence, formulating questions and testing hypotheses, and interpreting and reflecting on your own findings in relation to other studies. In fields that depend on complex decision-making, like healthcare, where errors in judgment can have serious repercussions, it is crucial to develop analytical and critical thinking abilities to lessen biased practices.

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Answer:

<2 would also be 55°

Step-by-step explanation:

this is because the angles are congruent. but im not 100% sure

The action that is an example of someone taking action to accept personal responsibility for eating right is writing down foods consumed at each meal in a day.

There are several ways to take responsibility for our eating habits and one of them is to write down the foods that we consume during each meal that we take in a day.

This would enable us to keep track of the calories we consume and therefore give us a better idea of which foods to eat and which to avoid to maintain our recommended dietary intake.

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Answer:

Which action is an example of someone taking action to accept personal responsibility for eating right?

(A.) continuing to eat while watching television

(B.) consuming high-fat foods every day

(C.) writing down foods consumed at each meal in a day

(D.) going to the store on an empty stomach

Step-by-step explanation:

2022-2023 :)

2x+3=7

2x=7-3

2x=4

x=2

#\(RosalindIsHereToHelpYouDon'tWorry\)

The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The percentage of pellets within a 30-inch circle.

Now,

We know that;

According to the state hunter education standards, your shotgun pattern within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''

Thus, The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''

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Answer:

Sarah runs at 14.4km/h

Step-by-step explanation:

36km = 2.5 hours

/ = per or divide

36km/2.5hours = 36 divided by 2.5 = 14.4km/h

ANSWER:

The area of the dilated trapezoid is 12 cm^2.​

STEP-BY-STEP EXPLANATION:

We have that the formula for the area of a trapezoid is:

The scale factor is 4, therefore we multiply each value by 4:

The area is known therefore it would remain:

The equivalent inequality of -v >  -4 is v < 4

How to find the equivalent of -v > -4

Inequality is a means of representing the relationship existing between the positive and negative parts of equations, using other terms aside exactly using only "equal to"

while solving inequalities and have to divide the both sides of the inequality by a negative number the inequality sign changes and this gives the equivalent

solving the equation

= -v >  -4

dividing through by -1

= v < 4

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Answer:

x+2 = 18  

x = 18-2

x=16

3(x+2) =18

3x + 6 =18

3x = 18 -6

3x = 12

x = 12/3 = 4

Step-by-step explanation:

Answer:

9:7.

Step-by-step explanation:

14 blue triangles and 18 yellow triangles,

The LCM of them both is 2 so we can divide both of the numbers by 2.

14 divided by 2 = 7

18 divided by 2 = 9

Since they asked for the ratio of yellow triangles to blue triangles,

The answer will be 9:7.

Hope that helps. x

Answer:

\(x\sqrt{3x}\)

Step-by-step explanation:

Since the insides of the quadratics are the same you can simply take 4x-x-2x which is 4x-3x which is just a single x

Answer:

Third option) m = - \(\frac{1}{3}\)

Step-by-step explanation:

[] Slope is change in y over change in x or rise over run

[] Since we have a graph with easy-to-read points, I will use rise over run

-> I will choose the point (-1, 5)

-> I count down 1 unit to the y-axis of point (2, 4)

-> I count right 3 units to point (2, 4)

-> I get a slope of 1/3

[] Since the line is going from top left to bottom right, it'll be negative

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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Answer:

investigation isanswer

Answer:

The number of animals consists of a discrete quantitative variable, it can be represented in a bar diagram. This is a tool that allows to represent the data it is okay if it's not correct

Answer:

uhhh

Step-by-step explanation:

Answer:

IT IS ALSO ISOSCELES !!

Step-by-step explanation:

2 sides are the same

if it was scalene all sides would be different

The required length of the other leg is \($\sqrt{5}$\) cm. If we need to round to the nearest tenth, we get: \($b \approx 2.2$\) cm

Let's use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. So we have:

\($c^2 = a^2 + b^2$\)

where c is the length of the hypotenuse, a and b are the lengths of the legs.

We are given that the length of the hypotenuse is 3 cm and the length of one leg is 2 cm. Let's substitute these values into the equation above:

\($3^2 = 2^2 + b^2$\)

\($9 = 4 + b^2$\)

\($b^2 = 5$\)

\($b = \sqrt{5}$\)

So the length of the other leg is \($\sqrt{5}$\) cm. If we need to round to the nearest tenth, we get: \($b \approx 2.2$\) cm (rounded to one decimal place).

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The computation shows that the number of years ruled is 41 years.

From the information, Octavian became the emperor of Rome in 27 B.C and he ruled until his death in A.D. 14.

Therefore, the number of years that he rules will be:

= 14 - (-27)

= 14 + 27

= 41

Therefore, the number of years will be 41.

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The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

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Answer:

The simplest ratio would be 5:3

Step-by-step explanation:

Both 10 and 6 can be divided by 2.

They turn into 5 and 3.

Since you can't make 5 and 3 any smaller, this will be the answer.

5:3

Hope this helped! :D