please answer this question on algebraic fractions. explain step by step please.

2,3-DPG is produced in anaerobic respiration in red blood cells and plays a key role in regulating oxygen transport to tissues with high oxygen demands. Option b is the correct answer.

2,3-DPG, also known as 2,3-diphosphoglycerate, is a small molecule that plays an important role in regulating the oxygen-carrying capacity of red blood cells.

It is produced in red blood cells through the process of anaerobic respiration, which occurs in the absence of oxygen. During anaerobic respiration, glucose is broken down into pyruvate, which is then converted into lactate and ATP. As a byproduct of this process, 2,3-DPG is produced in red blood cells.

The production of 2,3-DPG is a crucial adaptation that allows red blood cells to efficiently transport oxygen to tissues with high oxygen demands, such as the brain and heart.

2,3-DPG binds to hemoglobin, the protein in red blood cells that carries oxygen, and decreases its affinity for oxygen. This allows hemoglobin to release oxygen more easily in tissues with low oxygen levels.

Therefore, the correct option is b.

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Organizational politics can be triggered by various factors, including scarce resources in the workplace and clear and specific resource allocation decisions. The correct option is (C):Organizational politics is triggered  by scarce resources in the workplace.

However, it is not necessarily limited to these factors alone. Organizational politics can also arise in organizations that support altruism, where individuals may compete for recognition and resources to further their own goals or agendas. Even in the presence of formal rules and regulations, organizational politics can still occur as individuals seek to advance their own interests within the organization. Therefore, it is important for leaders to be aware of the potential for organizational politics and take steps to mitigate its negative effects.

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There are 100 ways of combining one level from each of the growth factors.

Mohammad is studying the growth of a particular type of plant and is interested in understanding how three growth factors—lighting, age, and temperature—affect its growth. To conduct his experiments, he has defined specific levels for each factor.

For the lighting factor, Mohammad has chosen five levels: None, Low, Medium, High, and Very high. These levels represent different intensities of light exposure that the plants will be subjected to during the study.

The age factor has five levels as well: 1 month, 2 months, 3 months, 4 months, and 5 months. These levels represent the different stages of plant growth at which measurements will be taken.

Lastly, Mohammad has selected four temperature levels: 20 °C, 22 °C, 24 °C, and 26 °C. These temperatures represent different environmental conditions under which the plants will be cultivated.

To determine the number of ways these levels can be combined, we need to multiply the number of levels for each factor. In this case, we multiply 5 (lighting levels) by 5 (age levels) and then by 4 (temperature levels), resulting in a total of 100 possible combinations.

Total number of ways = Number of lighting levels × Number of age levels × Number of temperature levels

= 5 × 5 × 4

= 100

There are 100 ways of combining one level from each of the growth factors.

Therefore, Mohammad has 100 different experimental conditions to work with. Each combination represents a unique set of growth factor levels that will be tested on the plants. By observing and measuring the plant's growth under each combination, Mohammad can analyze the effects of lighting, age, and temperature on the plant's development and draw conclusions about their impact. This systematic approach allows Mohammad to study the intricate relationship between these factors and the growth of the plant he is researching.

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The described phenomenon is known as the "inflationary spiral" or "wage-price spiral," where there is a feedback loop between inflation expectations, wage negotiations, and actual inflation.

The inflationary spiral is a concept that describes a self-reinforcing cycle between inflation expectations, wage negotiations, and actual inflation.

It begins with the central bank, such as the Federal Reserve (Fed), announcing a target inflation rate for the future, such as 3 percent.

People, anticipating this inflation rate, factor it into their wage negotiations, demanding higher wages to maintain their purchasing power.

However, the central bank may have an incentive to increase inflation above the announced target rate.

By doing so, they aim to reduce real wages, which are wages adjusted for inflation, in order to stimulate economic growth. This occurs because higher inflation erodes the purchasing power of wages, effectively lowering real wages.

With lower real wages, employers can afford to hire more workers or invest in capital, leading to increased economic activity.

The cycle continues as workers, observing higher inflation rates than anticipated, demand further wage increases in response. This puts pressure on employers to raise prices to cover higher labor costs, leading to an increase in overall inflation.

As a result, the central bank may again respond by raising inflation rates to maintain control over the economy.

The inflationary spiral highlights the complex relationship between inflation expectations, wage negotiations, and actual inflation.

It demonstrates how the actions and reactions of both individuals and central banks can influence and perpetuate inflationary trends.

Managing inflation expectations and striking a balance between inflation and economic growth are key challenges for central banks in maintaining stability in the economy.

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The rate of change in the amount of salt in this tank, when it is at 35 pounds from the equilibrium solution, is -0.4375 lbs/min.

A mixing tank is filled with 240 gallons of water in which 18 pounds of salt is dissolved. A saline solution flows into this tank at a rate of 3 gallons per minute, while the well-mixed solution drains from the tank at the same rate of 3 gallons per minute. Let the amount of salt in pounds in this tank at a time in minutes be y. The amount of salt in this tank can be modeled by the autonomous differential equation dy/dt = (3/240)(12 - y).

To solve for the initial amount of salt (in pounds) in this tank, we use the initial condition y(0) = 18. So, the initial amount of salt in this tank is 18 lbs. To find out how much salt is in this tank after a long time, we can take the limit of y as t approaches infinity. To find this limit, we set dy/dt = 0 and solve for y. We get 12 lbs. So, the amount of salt in this tank after a long time is 12 lbs.

To find the equilibrium salt concentration (in pounds per gallon) of this tank, we divide the amount of salt in the tank by the amount of water in the tank, which is 240 gallons. We get 0.05 lbs/gal. So, the equilibrium salt concentration of this tank is 0.05 lbs/gal. To find the rate of change in the amount of salt in this tank when it is at 35 pounds from the equilibrium solution, we use the differential equation dy/dt = (3/240)(12 - y) and substitute y = 12 + 35 = 47. We get

dy/dt = (-3/240)(35) = -0.4375 lbs/min.

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Based on the information provided, it seems that Sakura is experiencing social anxiety and Japanese psychologist might diagnose Sakura with "taijin kyofusho".

Social anxiety is defined as a persistent fear or discomfort in social situations, often characterized by symptoms like blushing, avoiding eye contact, and increased self-consciousness. In this case, a Japanese psychologist might diagnose Sakura with "taijin kyofusho," which is a culturally specific manifestation of social anxiety disorder commonly found in Japan. This condition emphasizes a strong fear of offending or embarrassing others, rather than the individual's own embarrassment or humiliation.

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If $25,000 is borrowed with an interest of 8.0% compounded annually, then the total amount of money needed to pay back the loan in 10 years is approximately $53,975.

To calculate the total amount of money needed to pay back a loan of $25,000 with an interest rate of 8.0% compounded annually over 10 years, we can use the formula for compound interest:

A = P * (1 + r/n)^(n*t)

Where:

A is the total amount of money needed to be paid back

P is the principal amount (initial loan amount)

r is the annual interest rate (as a decimal)

n is the number of compounding periods per year

t is the number of years

In this case, P = $25,000, r = 0.08, n = 1 (compounded annually), and t = 10.

Plugging these values into the formula, we have:

A = $25,000 * (1 + 0.08/1)^(1*10)

Calculating the expression inside the parentheses first:

(1 + 0.08/1)^(1*10) = (1 + 0.08)^10 = 1.08^10 ≈ 2.159

Now, we can calculate the total amount:

A = $25,000 * 2.159 ≈ $53,975

Therefore, the total amount of money needed to pay back the loan in 10 years is approximately $53,975.

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We can see here that the graph of change in demand shows that the demand for baby products is decreasing. This is because the birthrate in the United States is decreasing.

The graph of change in supply shows that the supply of baby products is also decreasing. This is because the number of companies making baby products is decreasing.

The relationship between the quantity of a good or service that consumers are willing and able to buy (demand) and the quantity that producers are willing and able to give (supply) at different price levels is described by the fundamental economic notions of demand and supply.

Demand represents the quantity of a product or service that consumers are willing and able to purchase at a given price and within a specific period.

Supply refers to the quantity of a product or service that producers are willing and able to provide to the market at various price levels.

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The complete question is:

"U.S. birthrate continues to drop, signaling a colicky future for makers of baby products."

You will create one graph to show a change in demand and one graph to show a change in supply.

first off, I'd like for the sake of clarification to indicate we're assuming there's an error in the process above and so hmmm what is it?

[tex]x^2-\cfrac{6}{5}x+\cfrac{1}{5}=0\implies x^2-\cfrac{6}{5}x+\stackrel{ \frac{1}{5}~? }{\boxed{\cfrac{9}{25}-\cfrac{9}{25}}}=0\implies x^2-\cfrac{6}{5}x+\cfrac{9}{25}=\cfrac{9}{25}[/tex]

now, let's notice, somehow 9/25 came out of the blue, but the assumption being that we had 1/5, well, hell we'll split it in two pieces, +9/25 and -9/25 that way we can send one of them over and look like the equation on the right end, hmmm but is 9/5 - 9/5 really equals to 1/5?

[tex]\cfrac{9}{25}-\cfrac{9}{25}=0\ne \cfrac{1}{5}[/tex]

now we can say, well, hmmm the 9/25's came from the zero, ok, cool, we can use them, but what the heck happened to the 1/5?  thus the error.

The predicted value of homes in 2018 using the exponential function is $281686

The exponential function can be modeled thus ;

[tex]y = a {b}^{x} [/tex]

a = starting number

b = multiplier

x = number of intervals

Using an exponential function calculator, the function for the data is ;

[tex]y = 135474.516( {1.044}^{x} )[/tex]

To predict the average home price in 2018, the value of x for the model Becomes ;

0=2000

4=2004

8=2008

12=2012

16=2016

17=2018

18=2020

x = 17

Our equation becomes ;

[tex]y = 135474.516( {1.044}^{17} )[/tex]

y = 281686.533

Hence, the predicted value of homes in 2018 will be $281686

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The decision to sell the stock or wait and receive the dividend will result in different after-tax income depending on the tax rates applied.

In scenario (a) with tax rates of 15% on dividends and capital gains, the after-tax income will be the same regardless of the choice. However, in scenario (b) with a capital gains tax rate of 19% and a dividend tax rate of 38%, there will be a difference in after-tax income based on the choice of selling the stock or waiting for the dividend.

In scenario (a) with tax rates of 15% on dividends and capital gains, the tax implications are equal for both selling the stock and receiving the dividend. Since the capital gain is $9 ($48 selling price - $39 purchase price), the tax on the capital gain would be 15% of $9, resulting in the same after-tax income regardless of the choice.

In scenario (b) with a capital gains tax rate of 19% and a dividend tax rate of 38%, there will be a difference in after-tax income based on the choice. If the stock is sold, the capital gain of $9 would be subject to a 19% tax, reducing the after-tax income. However, if the stock is held to receive the $9 special dividend, the dividend itself would be subject to a higher tax rate of 38%, resulting in a lower after-tax income compared to selling the stock. Therefore, selling the stock would result in higher after-tax income in this scenario.

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Jackie's therapist is likely to diagnose her with post-traumatic stress disorder (PTSD) following the traumatic experience of being robbed at gunpoint.

Based on the information provided, Jackie's extreme distress and fear, coupled with the traumatic event of being robbed at gunpoint, suggest that she may be experiencing symptoms of post-traumatic stress disorder (PTSD). PTSD is a psychiatric disorder that can develop after a person has been exposed to a traumatic event, such as a life-threatening situation. Symptoms of PTSD include intrusive and distressing memories or flashbacks of the traumatic event, avoidance of reminders or triggers associated with the trauma, negative changes in thoughts and mood, and heightened arousal or reactivity.

While panic disorder is characterized by recurring panic attacks that are unrelated to specific traumatic events, it is possible for individuals with PTSD to also experience panic attacks as a result of their trauma. However, given the context of Jackie's situation and her distressing symptoms following the robbery, it is more likely that her therapist would diagnose her with PTSD rather than panic disorder. A proper evaluation and diagnosis by a qualified mental health professional would be necessary to confirm the specific diagnosis and develop an appropriate treatment plan for Jackie's symptoms.

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Answer:

392

Step-by-step explanation:

use the z-score formula to convert the values.

z = (X - υ) / σ

where X is the test statistic, υ is the mean, σ is the standard deviation.

z = (550 - 450) / 100

= 1.

z score of 1 in z-table has an area of 0.84134.

for exam b:

0.84134 = (X - 350) / 50

X - 350 = 50 (0.84134) = 42.067

X = 42.067 + 350 = 392.067 ≈ 392.

Emily must score 392

The population density of Philadelphia is approximately 11,761.76 people per square mile, while the population density of Pottstown is approximately 4,672.16 people per square mile.

To compare the densities of Philadelphia and Pottstown, we need to calculate the population density for each city. Population density is typically measured as the number of individuals per unit area.

For Philadelphia:

Population = 1,579,000

Land area = 134.28 sq miles

Population density = Population / Land area

Population density = 1,579,000 / 134.28

Population density [tex]^\sim_\sim[/tex] 11,761.76 people per square mile

For Pottstown:

Population = 22,670

Land area = 4.85 sq miles

Population density = Population / Land area

Population density = 22,670 / 4.85

Population density [tex]^\sim_\sim[/tex] 4,672.16 people per square mile

Therefore, the population density of Philadelphia is approximately 11,761.76 people per square mile, while the population density of Pottstown is approximately 4,672.16 people per square mile.

Comparing the two, we can see that Philadelphia has a higher population density compared to Pottstown.

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The correct statement is- Once the Compromise of 1850 was passed, Northerners and Southerners readily accepted its terms, putting their suspicions to rest.

The statement describes how both Northerners and Southerners were suitable to fluently accept the terms of the concession of 1850 and put their reservations to rest after its end. The Concession of 1850 was a series of legislative measures aimed at resolving the growing pressures between the Northern and Southern countries of the United States over issues similar to slavery and the balance of power.

The statement suggests that the terms of the concession were satisfactory to both sides, allowing for a sense of agreement and resolution. It implies that the concession addressed the enterprises and interests of both Northerners and Southerners, leading to their amenability to accept it. By accepting the concession and its terms, both regions were suitable to palliate their reservations or dubieties, potentially reducing pressures between them.

This statement highlights the significance of the concession of 1850 in furnishing a temporary resolution to the contentious issues of the time, indeed though these issues would latterly contribute to the raising conflicts that ultimately led to the American Civil War.

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The break-even point, measured in sales dollars, can be calculated by dividing the fixed costs by the contribution margin ratio.

The contribution margin ratio is the difference between the selling price and the variable cost per unit, expressed as a percentage of the selling price. In this case, the contribution margin per unit is calculated as $23 (selling price) - $15 (variable cost) = $8 per unit. The contribution margin ratio is then $8 / $23 = 0.348, or 34.8%.

To find the break-even point in sales dollars, we divide the fixed costs by the contribution margin ratio. In this scenario, the fixed costs are $56,000. Therefore, the break-even point in sales dollars is calculated as $56,000 / 0.348 = $160,920. This means that the company needs to generate sales of $160,920 to cover all its fixed costs and reach the break-even point. Any sales above this amount would result in a profit, while sales below this amount would lead to a loss.

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The emphasis on the importance of our capacity for personal growth, development of our potential, and freedom to choose our destiny aligns with the psychological theory of Humanistic Psychology.

Humanistic Psychology places a strong emphasis on individuality, personal growth, and self-actualization. It views individuals as having an inherent drive to fulfill their potential and emphasizes the importance of subjective experiences, self-awareness, and personal choice in shaping behavior and psychological well-being. Humanistic psychologists believe that individuals have the capacity to make meaningful interest and strive for personal growth and fulfillment.

In contrast, Behaviorism is a psychological theory that focuses on observable behavior and the external factors that influence it. It emphasizes the role of conditioning and reinforcement in shaping behavior, with less emphasis on internal processes such as personal growth or individual choice.

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Answer:

It will take you 1/2 hour to catch up.

Step-by-step explanation:

We Know

You are biking at a speed of 18 miles per hour.

You are 3 miles behind your friend, who is biking at a speed of 12 miles per hour.

The equation will be:

18h = 12h + 3

Find the amount of time it takes for you to catch up.

18h = 12h + 3

6h = 3

h = 3/6 = 1/2 hour

So, it will take you 1/2 hour to catch up.

The total contribution of these transactions to Gross Domestic Product (GDP) is $60,000.

The contribution of these transactions to Gross Domestic Product (GDP) can be calculated by summing up the value added at each stage of production.

Value added is the difference between the value of a firm's output and the value of the intermediate inputs it uses. It represents the contribution of that firm to the final product.

In this case, we have three stages of production: wheat farming, flour production, and bread making. Let's calculate the value added at each stage:

1. Wheat farming:

The value added by Farmer Brian is $35,000, as he sells the wheat directly to the miller.

2. Flour production:

The value added by the miller is the difference between the value of the flour sold to Megan's bakery and the cost of the wheat purchased from Farmer Brian. Therefore, the value added is $45,000 - $35,000 = $10,000.

3. Bread making:

The value added by Megan's bakery is the difference between the value of the bread sold to customers and the cost of the flour purchased from the miller. Thus, the value added is $60,000 - $45,000 = $15,000.

To calculate the total contribution to GDP, we sum up the value added at each stage:

Total GDP contribution = Value added by Farmer Brian + Value added by the miller + Value added by Megan's bakery

                    = $35,000 + $10,000 + $15,000

                    = $60,000

Therefore, the total contribution of these transactions to Gross Domestic Product (GDP) is $60,000.

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The global situation, including factors such as a pandemic or conflicts like the war in Ukraine, can lead to various trading and scheduling problems in logistics and supply chain management.

1. Disruptions in transportation: Travel restrictions, border closures, and reduced capacity in logistics networks can lead to delays or disruptions in the movement of goods. Solutions can include diversifying transportation modes, utilizing alternative routes, and coordinating with logistics providers to find feasible solutions.

Shortage of raw materials: Conflicts or disruptions in specific regions can impact the availability of essential raw materials for production. To address this, businesses can implement contingency plans, such as identifying alternative suppliers or sourcing materials from different locations.

Inventory management challenges: Uncertainty in demand patterns and disruptions in production can lead to inventory imbalances. Employing advanced forecasting techniques, implementing just-in-time inventory systems, and fostering collaboration with suppliers can help optimize inventory management.

Supply chain visibility and communication: The global situation may hinder effective communication and visibility across the supply chain. Leveraging digital technologies, such as supply chain management systems and real-time tracking, can enhance visibility and facilitate timely communication between stakeholders.

Financial and risk management: Economic volatility and geopolitical uncertainties can create financial risks for businesses. Employing risk management strategies, such as hedging, diversification, and contingency planning, can help mitigate these risks and ensure financial stability.

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The probability of getting a sum of 9 or higher when rolling two dice is 10/36, which can be simplified to 5/18 or approximately 0.2778.

For the probability that the sum of two fair six-sided dice is 9 or higher, we need to determine the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes when rolling two dice is given by 6 * 6 = 36, as each die has 6 possible outcomes.

Now, let's determine the number of favorable outcomes. We need to find the combinations of numbers on the two dice that result in a sum of 9 or higher.

The possible combinations for a sum of 9 are (3, 6), (4, 5), (5, 4), and (6, 3), which gives us 4 favorable outcomes.

The possible combinations for a sum of 10 are (4, 6), (5, 5), and (6, 4), which gives us 3 favorable outcomes.

The possible combinations for a sum of 11 are (5, 6) and (6, 5), which gives us 2 favorable outcomes.

Finally, the possible combination for a sum of 12 is (6, 6), which gives us 1 favorable outcome.

Adding up the favorable outcomes, we have 4 + 3 + 2 + 1 = 10.

Therefore, the probability of getting a sum of 9 or higher when rolling two dice is 10/36, which can be simplified to 5/18 or approximately 0.2778.

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The amount of cash received from customers is $232,060

To determine the amount of cash received from customers, we need to account for the change in accounts receivable over the year. The change in accounts receivable represents the difference between the beginning balance and the ending balance.

Since the accounts receivable balance declined by $19,310, we can infer that customers paid off that amount of outstanding accounts receivable.

To calculate the cash received from customers, we add the change in accounts receivable to the sales reported on the income statement. This is because the sales reported on the income statement represent the total revenue generated from sales, including both cash and credit sales.

Cash received from customers = Sales + Change in accounts receivable

Cash received from customers = $251,370 + (-$19,310) = $232,060

Therefore, the amount of cash received from customers is $232,060. This figure represents the actual cash inflow from customers for the specified period, accounting for the change in accounts receivable.

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The Wagner Act, also known as the National Labor Relations Act (NLRA), allowed the National Labor Relations Board (NLRB) to supervise union elections and protect the rights of employees to engage in collective bargaining.

The Wagner Act, enacted in 1935, aimed to restore balance between employers and employees by granting workers the right to form and join labor unions. Contrary to the group of answer choices mentioned, the Wagner Act did not make all unions illegal. Instead, it recognized and protected the rights of employees to organize and bargain collectively. It established the NLRB, which was entrusted with overseeing union elections, preventing unfair labor practices, and promoting collective bargaining.

The Act's purpose was to promote industrial peace and stability by giving workers the opportunity to negotiate with their employers for better wages, working conditions, and benefits. It prohibited employers from engaging in certain unfair labor practices, such as interfering with employees' rights to form, join, or assist labor organizations. Additionally, the Wagner Act protected employees' right to engage in concerted activities for mutual aid or protection.

By empowering workers and their unions, the Wagner Act played a crucial role in strengthening the labor movement and promoting collective bargaining as a means of resolving labor disputes. It established a framework for fair labor practices, ensuring that workers had a voice in the workplace and could collectively negotiate for their interests.

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Answer:

1/5 + 3/5 = 45 = 0.8

Step-by-step explanation:

Spelled result in words is four fifths.

In a joint venture, the parties typically combine their labor or property for a single undertaking and share profits and losses equally. They assume no personal liability beyond the risk of losing their initial investment.

A joint venture is a business arrangement where two or more parties come together to pursue a specific business project or goal. The nature of the joint venture and the rights and responsibilities of the parties involved can vary based on the terms outlined in the joint venture agreement.

In the context of the provided options, the correct answer is option b: "combine their labor or property for a single undertaking and share profits and losses equally." This means that the parties involved in the joint venture pool their resources, such as labor, expertise, or capital, for a specific project or venture. They share both the profits and losses resulting from the undertaking in an equal manner.

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(A) The length of BD in rectangle ABCD is 11.

In a rectangle, opposite sides are equal in length. Therefore, AB = CD = 14.

AC represents the diagonal of the rectangle, and it can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse (AC) is equal to the sum of the squares of the other two sides (AB and BC).

Using the given values, we can find AC:

AC² = AB² + BC²

AC² = 14² + 9²

AC² = 196 + 81

AC² = 277

AC ≈ √277 ≈ 16.64 (rounded to two decimal places)

Since AC represents the diagonal of the rectangle, BD is the other diagonal, and it has the same length.

Hence, BD ≈ 16.64.

However, the options provided are all integers.

Therefore, the closest integer value to 16.64 is 17, and the closest option to 17 is 11 (option A).

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The most appropriate choice for Russell to summarize the center and spread of the complete set of responses would be option (D) median and the interquartile range.

The median is a robust measure of central tendency that is not affected by outliers, making it suitable in this scenario where Russell suspects an untrue response.

By calculating the median, Russell can find the middle value of the data set, which represents the typical amount of sleep his fellow students are getting, without being heavily influenced by extreme values.

Additionally, the interquartile range (IQR) is a robust measure of spread that is also resistant to outliers. It represents the range between the first quartile (25th percentile) and the third quartile (75th percentile) of the data.

By using the IQR, Russell can measure the spread of the data without being skewed by the outlier he suspects. It provides a reliable measure of the variability within the majority of responses.

By quoting the median and the interquartile range, Russell can provide a summary that is less influenced by potential outliers and more representative of the overall sleep patterns of his fellow students. This approach ensures that the central tendency and spread of the data are accurately captured, even in the presence of an outlier.

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For every cake that Latonya produces, she is giving up the opportunity cost to make 4.5 pies.

Latonya's opportunity cost of producing 1 cake is 4.5 pies.

To find this, we need to look at the ratio of cakes to pies that each person can produce.

Latonya can make 4 cakes or 18 pies in one day, so her ratio is 4 cakes / 18 pies = 0.22 cakes/pie.

Tom can make 8 cakes or 33 pies in one day, so his ratio is 8 cakes / 33 pies = 0.24 cakes/pie.

Since Tom's ratio is higher, it means he is more efficient at making cakes. Therefore, Latonya's opportunity cost of producing 1 cake is giving up 0.22 pies. To find the reciprocal, we divide 1 by 0.22, which equals 4.545. Rounded to one decimal place, this is 4.5 pies.

So for every cake that Latonya produces, she is giving up the opportunity to make 4.5 pies.

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Answer:

the circle's radius is approximately 13.00 feet.

Step-by-step explanation: