D
Question 3
1 pts
Find the volume of the hemisphere in which the radius of the great circle is 8 yards.
Round the number to the nearest tenth if necessary.

Answers

Answer 1
To find the volume of a hemisphere, the formula is (2/3) πr^3. So since the given radius is 8, the volume would be (2/3)π512=341.3π=1,071.8 (rounded to the nearest tenth)

Related Questions

39.5% complete Question An attacker is preparing to perform what type of attack when the target vulnerabilities include headers and payloads of specific application protocols

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An attacker is preparing to perform a protocol-based attack when the target vulnerabilities include headers and payloads of specific application protocols.

A protocol-based attack, also known as a protocol attack, focuses on exploiting vulnerabilities within the headers and payloads of specific application protocols. Application protocols, such as HTTP, FTP, SMTP, or DNS, have their own set of rules and structures for communication. Attackers analyze these protocols and manipulate the headers and payloads to exploit weaknesses and gain unauthorized access or control over a system or network. By understanding the intricacies of the targeted protocols, attackers can craft malicious requests or inject malicious code to exploit vulnerabilities and compromise the targeted system's security. It is crucial for organizations to implement robust security measures and regularly update their systems to protect against protocol-based attacks.

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masses of 200 and 800 g are 12 cm apart. (a) find the gravitational force on a 100 g object situated at a point on the line joining the masses 4.0 cm from the 200 g mass. (

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The gravitational force on the 100 g object situated 4.0 cm from the 200 g mass is approximately [tex]2.66972 \times 10^-11 N.[/tex]

What is gravitational force?

Gravitational force is the force of attraction that exists between two objects with mass. It is one of the fundamental forces of nature and is described by Newton's law of universal gravitation. According to this law, the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

To find the gravitational force on a 100 g object situated at a point on the line joining the masses, we can use the formula for gravitational force:

[tex]F = (G * m1 * m2) / r^2[/tex]

Where:

F is the gravitational force,

G is the gravitational constant (approximately [tex]6.67430 \times 10^-11 N(m/kg)^2),[/tex]

m1 and m2 are the masses of the two objects, and

r is the distance between the centers of the two objects.

In this case, the masses are 200 g and 800 g, which can be converted to 0.2 kg and 0.8 kg respectively. The distance between the masses is 12 cm, which is equivalent to 0.12 m.

We want to find the gravitational force on a 100 g object situated at a point on the line 4.0 cm from the 200 g mass. This distance is 0.04 m.

Substituting the values into the formula, we have:

[tex]F = (6.67430 \times 10^-11 N(m/kg)^2) \times (0.2 kg) \times (0.1 kg) / (0.04 m)^2[/tex]

Calculating this expression:

[tex]F = (6.67430 \times 10^-11 N(m/kg)^2) \times(0.2 kg) \times (0.1 kg) / (0.04 m)^2= 2.66972 \times 10^-11 N[/tex]

Therefore, the gravitational force on the 100 g object situated 4.0 cm from the 200 g mass is approximately [tex]2.66972 \times 10^-11 N.[/tex]

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Allison wants to determine if the deer population in the area is influenced by the coyote population. The independent variable is:

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The "independent-variable" in statement, "Allison wants know that if deer-population in area is influenced by coyote-population" is "Coyote-Population".

The "Independent-Variable" is the factor that is controlled by the researcher in an experiment to observe its effects on the dependent variable. In this case, Allison wants to determine if the deer-population is influenced by the coyote-population.

So, she would manipulate or observe changes in the coyote-population to understand its impact on the deer-population. By controlling or varying the coyote population, Allison can analyze the resulting changes in the deer-population, which serves as the dependent variable.

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2. Prepare a journal entry dated December 31 to record the fair value adjustment for the portfolio of available-for-sale debt securities. Carperk had no available-for-sale debt securities prior to this year.

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Available-for-sale debt securities are financial instruments that a company holds for investment purposes but not necessarily for immediate resale.  On December 31, Carperk made a journal entry to record the fair value adjustment for their newly acquired portfolio of available-for-sale debt securities.

Available-for-sale debt securities are financial instruments that a company holds for investment purposes but not necessarily for immediate resale. Their fair value, which represents the market value of the securities, needs to be adjusted at the end of each reporting period. In this case, Carperk did not have any available-for-sale debt securities prior to this year, indicating that they acquired these securities during the current year.

To record the fair value adjustment for the portfolio of available-for-sale debt securities on December 31, Carperk would make the following journal entry:

Debit: Fair Value Adjustment (Income Statement)

Credit: Available-for-Sale Debt Securities (Balance Sheet)

The debit to the Fair Value Adjustment account represents the increase in fair value of the debt securities. This adjustment is reported in the income statement as a component of comprehensive income. On the other hand, the credit to the Available-for-Sale Debt Securities account reduces the carrying value of the securities on the balance sheet to reflect their new fair value. The difference between the previous carrying value and the adjusted fair value is recorded as a unrealized gain or loss in the comprehensive income section of the financial statements.

It is important to note that the specific amounts and accounts used in the journal entry would depend on the information provided, such as the fair value adjustment amount and the specific accounts used by Carperk for their available-for-sale debt securities.

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Automobile fuel efficiency is often measured in miles that the car can be driven per gallon of fuel (highway mpg). Suppose we have a collection of cars. We measure their weights and fuel efficiencies, and generate the following scatterplot. Scatterplot: highway MPG vs weight Which equation is a reasonable description of the least-squares regression line for the predicted highway mpg? Group of answer choices predicted highway mpg = 52. 3 – 0. 0067 (weight) predicted highway mpg = 52. 3 + 0. 0067 (weight) predicted highway mpg = 32. 3 – 0. 0067 (weight) predicted highway mpg = 32. 3 + 0. 0067 (weight) predicted highway mpg = 36. 3 – 12. 3 (weight) predicted highway mpg = 36. 3 + 12. 3 (weight)

Answers

To determine the reasonable equation for the least-squares regression line for the predicted highway MPG based on weight, we need to consider the scatterplot. In a scatterplot, the least-squares regression line represents the best-fit line that minimizes the distance between the observed data points and the line.

Looking at the given equation options, we can eliminate those with a positive coefficient for weight (since weight is typically expected to negatively impact fuel efficiency) and those with a constant term significantly different from the observed data points.

Out of the remaining options, the equation "predicted highway mpg = 32.3 – 0.0067 (weight)" seems the most reasonable. This equation suggests that as the weight of the car increases, the predicted highway MPG decreases.

The equation of a regression line is typically written as y = mx + b, where y represents the dependent variable, x represents the independent variable, m represents the slope of the line, and b represents the y-intercept.

The slope, m, represents the rate of change of y with respect to x, while the y-intercept, b, represents the predicted value of y when x is zero.

The constant term (32.3) aligns reasonably with the observed data points, and the negative coefficient for weight reflects the expected negative relationship between weight and fuel efficiency.

Therefore, the equation "predicted highway mpg = 32.3 – 0.0067 (weight)" is a reasonable description of the least-squares regression line for the predicted highway MPG based on weight.

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A boy counted his money and asked the price of a soccer ball, a book and a Lego set; he then knew how much more money he would have to earn before he could get all of them. How did he find out?

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

By adding them up?

Element "e" exists has only two isotopes. calculate the percentage of each isotope if the average atomic weight of "e" is 58.776 amu. e-57 (57.977 amu), e-58 (58.977amu)

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Element "e" has two isotopes, e-57 with a mass of 57.977 amu and e-58 with a mass of 58.977 amu. The percentage of e-57 is approximately 50.25%, while the percentage of e-58 is approximately 49.75%.

The percentage of each isotope can be determined using the concept of weighted averages. We know the masses of the two isotopes and the average atomic weight of the element. Let's assume x represents the percentage of e-57 and y represents the percentage of e-58.

To calculate the average atomic weight, we can set up the following equation:

(x/100) * 57.977 + (y/100) * 58.977 = 58.776

Simplifying the equation, we have:

0.57977x + 0.58977y = 58.776

Now we can solve this equation to find the values of x and y. Rearranging the equation, we get:

x + y = 100 - x

0.57977x + 0.58977(100 - x) = 58.776

Solving this equation gives us x ≈ 50.25 and y ≈ 49.75.

Therefore, the percentage of e-57 is approximately 50.25%, while the percentage of e-58 is approximately 49.75%.

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If the jet is moving at a speed of 1250 km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.5 g 's. Express your answer using two significant figures. g

Answers

To determine the minimum radius of the circle for the jet's loop, we need to calculate the centripetal acceleration at the lowest point and set it equal to the given limit of 6.5 g's.

Centripetal acceleration (ac) is given by the equation:

ac = ([tex]v^2[/tex]) / r

Where:

ac = centripetal acceleration

v = velocity of the jet

r = radius of the circle

We need to convert the given speed from km/h to m/s for consistent units. Using the conversion factor 1 km/h = 0.2778 m/s:

v = 1250 km/h * 0.2778 m/s = 347.25 m/s

Now, we can rearrange the formula to solve for the radius:

r = ([tex]v^2[/tex]) / ac

Substituting the values:

The acceleration due to gravity, g, is approximately 9.8 m/s^2.

r = (347.25 m/s)^2 / (6.5 * 9.8 m/s^2)

Calculating this:

r ≈ 1995.3 m

Rounded to two significant figures, the minimum radius of the circle for the jet's loop should be approximately 2000 m.

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In 2018, Coca-Cola reported inventory of $2.766 billion and annual sales of $31.856 billion. Assume 365 days per year and round your answer to one decimal place. What were the days of supply for Coca-Cola

Answers

The days of supply for Coca-Cola in 2018 was approximately 30.9 days. To calculate the days of supply, we divide the inventory value by the average daily sales.

First, we need to determine the average daily sales by dividing the annual sales by the number of days in a year. Average Daily Sales = Annual Sales / Number of Days in a Year. Average Daily Sales = $31.856 billion / 365 days ≈ $87.3 million. Next, we calculate the days of supply by dividing the inventory value by the average daily sales. Days of Supply = Inventory Value / Average Daily Sales. Days of Supply = $2.766 billion / $87.3 million ≈ 31.7 days . Rounding to one decimal place, we find that the days of supply for Coca-Cola in 2018 was approximately 30.9 days. This means that based on the inventory level and average daily sales, Coca-Cola had enough inventory to meet its sales demand for around 30.9 days.

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help thank you very much! :)

Answers

Answer:

A) 3

Step-by-step explanation:

[tex]sin30^{0} =\frac{x}{6}[/tex]

[tex]x=6sin30^{0}=6(0.5)[/tex]

[tex]x=3[/tex]

hope this helps.

88% as a fraction 

Answers

To express 88% as a fraction, we can write it as 88/100. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4. So, 88/100 simplifies to 22/25. Therefore, 88% can be expressed as the fraction 22/25.

~~~Harsha~~~

What are sheets that are preprinted with a series of frames in the shape of TV screens, which include text of the commercial and sound effects

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Preprinted sheets with a series of frames in the shape of TV screens, including commercial text and sound effects, are known as storyboard sheets.

Storyboard sheets are visual tools used in the pre-production phase of creating commercials, films, or animations. They consist of a series of rectangular frames resembling TV screens, printed on a sheet. Each frame represents a scene or shot, and within the frames, the preprinted text describes the commercial content or dialogue.

Additionally, sound effects may be included to further enhance the storytelling. These sheets serve as a blueprint for the production team, allowing them to plan and visualize the sequence of shots, camera angles, and timing of the commercial. By using storyboard sheets, filmmakers can effectively communicate their creative vision, ensure consistency in storytelling, and facilitate collaboration between different departments involved in the production process.

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Which condition is characterized by cyanosis and pain in the fingers due to extreme vasoconstriction in the digits resulting from excessive sympathetic stimulation

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The condition characterized by cyanosis and pain in the fingers due to extreme vasoconstriction in the digits resulting from excessive sympathetic stimulation is called Raynaud's phenomenon.

Raynaud's phenomenon occurs when blood vessels, specifically the small arteries that supply blood to the fingers, constrict excessively in response to cold or emotional stress. This constriction reduces blood flow to the affected areas, leading to cyanosis (bluish discoloration), pain, and numbness in the fingers.

The underlying cause of Raynaud's phenomenon is an imbalance in the autonomic nervous system, particularly an overactivity of the sympathetic nervous system. This system is responsible for the "fight or flight" response and, when stimulated, can cause blood vessels to constrict.

Raynaud's phenomenon is characterized by:
1. Cyanosis: Bluish discoloration of the fingers due to reduced blood flow.
2. Pain and numbness in the fingers.
3. Extreme vasoconstriction: Constriction of small arteries supplying blood to the digits.
4. Excessive sympathetic stimulation: Overactivity of the sympathetic nervous system leads to constriction of blood vessels.
If you experience symptoms of Raynaud's phenomenon, it is essential to consult with a medical professional for proper diagnosis and treatment.

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2) A trader mixes three bags of sugar costing at 900per bag with
Seven Sacks of sugar which cost 700per bag. If she sells.
the mixture at At 950/bag Calculate her percentage profit

Answers

Answer:

25%

-------------------

Total cost of bags is:

3*900 + 7*700 = 2700 + 4900 =7600

Total revenue from selling all the bags:

950(3 + 7) = 950*10 = 9500

Amount of profit:

9500 - 7600 = 1900

Percentage profit:

1900/7600 * 100% = 1/4 * 100% = 25%

Two alternators are being connected to supply power to a load. After the connection is made, in order to make the added alternator share the load, the input torque to the alternator being added must be

Answers

Two alternators are being connected to supply power to a load. After the connection is made, in order to make the added alternator share the load, the input torque to the alternator being added must be increased.

What is supply pοwer?

Tο supply pοwer tο a lοad using multiple alternatοrs, the input tοrque tο the added alternatοr shοuld be adjusted tο match the pοwer demand οf the lοad. The added alternatοr shοuld be synchrοnized with the existing alternatοrs and cοnnected in parallel tο share the lοad.

The input tοrque tο the added alternatοr will depend οn the pοwer required by the lοad and the characteristics οf the alternatοrs, such as their pοwer ratings and efficiency. By prοperly adjusting the input tοrque οf the added alternatοr, it can cοntribute tο supplying pοwer tο the lοad alοng with the existing alternatοrs.

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A commercial real estate investment fund must report its quarterly investment performance to investors. A summary of its (1) beginning and end-of-quarter assets and equity and (2) cash inflows and outflows during the quarter are as follows: Beginning of Quarter During Quarter $56 million Cash $10 million NOI from operations $506 million Market value of props $2 million Paid management fees $26 million Other Investments $25 million Distributions to investors $312 million Fund debt $206 million Investor contributions $181 million Property acquisitions $31 Property dispositions Other investments will earn 4% interest (1% per quarter) and property debt will be at a 6% rate (1.5% per quarter). The properties were appraised at the end of the quarter for $661 million. Assume any interest on short-term investments is offset by interest paid on short-term debt. Required: a. What would be the beginning equity value

Answers

The beginning equity value of the commercial real estate investment fund can be determined by subtracting the fund debt from the market value of the properties at the beginning of the quarter. The equity value is $194 million.

The beginning equity value represents the net worth of the investment fund, which is the residual interest in the assets after deducting liabilities. In this case, the market value of the properties at the beginning of the quarter is given as $506 million, and the fund debt is $312 million. Therefore, the beginning equity value can be calculated as follows:

Beginning Equity Value = Market Value of Properties - Fund Debt

= $506 million - $312 million

= $194 million

Hence, the beginning equity value of the commercial real estate investment fund is $194 million. This value represents the initial stake or ownership interest of the investors in the fund, and it serves as a starting point for assessing the fund's investment performance and determining changes in equity over the course of the quarter.

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The table shows the height of water in a pool as it is
being filled.
Height of Water in a Pool
Height
(in.)
8
12
16
20
24
Time
(min)
2
4
6
8
10
Mark this and return
The slope of the line through the points is 2. Which
statement describes how the slope relates to the
height of the water in the pool?
The height of the water increases 2 inches per
minute.
The height of the water decreases 2 inches per
minute.
The height of the water was 2 inches before any
water was added.
The height of the water will be 2 inches when the
pool is filled.
Save and Exit
Next
Submit

Answers

Answer:

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

The correct statement that describes how the slope relates to the height of the water in the pool is:

The height of the water increases 2 inches per minute.

The slope of the line represents the rate of change of the height of the water with respect to time. In this case, since the slope is 2, it indicates that for every minute that passes, the height of the water in the pool increases by 2 inches.

When Betty Tran prepared a personal income statement, she subtracted her expenses from her income. The remainder or residual value is called:

Answers

The remainder or residual value obtained when subtracting expenses from income on a personal income statement is called net income.

When preparing a personal income statement, Betty Tran followed the basic equation of income minus expenses to determine her financial position. The result obtained after subtracting her expenses from her income is known as net income or residual value. Net income represents the amount of money left over after covering all expenses and is a measure of one's financial profitability or loss during a specific period.

Net income is an important figure as it indicates whether an individual's income is sufficient to cover their expenses. If the net income is positive, it means that the individual's income exceeds their expenses, indicating a surplus or profit. Conversely, if the net income is negative, it implies that the individual's expenses exceed their income, resulting in a deficit or loss.

By calculating and analyzing the net income, individuals like Betty Tran can assess their financial health, track their spending patterns, and make informed decisions regarding budgeting, saving, and investment strategies.

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Assuming the heterocyclic ring above to be planar: Give the number of electrons that are contributed to the pi system of the heterocyclic ring by:

Answers

The number of electrons contributed to the pi system of a planar heterocyclic ring can be determined by counting the number of pi electrons within the ring. These pi electrons arise from the conjugated double bonds or aromaticity present in the ring structure.

In a planar heterocyclic ring, the contribution of electrons to the pi system can be determined by analyzing the presence of conjugated double bonds or aromaticity within the ring. Conjugated systems are formed when alternating single and double bonds exist, allowing delocalization of pi electrons across the entire ring. Aromatic systems, on the other hand, possess a fully conjugated structure with a specific number of pi electrons, following Hückel's rule.

To determine the number of pi electrons contributed to the pi system of the heterocyclic ring, count the number of pi electrons associated with each double bond or aromatic ring. Each double bond contributes two pi electrons, while an aromatic ring contributes a total of (4n + 2) pi electrons, where 'n' represents the number of conjugated or aromatic rings. It is important to note that lone pairs of electrons on heteroatoms within the ring do not typically contribute to the pi system.

By summing up the contributions from all the double bonds and aromatic rings within the planar heterocyclic ring, you can determine the total number of electrons contributed to the pi system of the ring.

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The cost of equity is equal to the: Rate of return required by stockholders. Expected market return. Risk the company incurs when financing. Cost of retained earnings plus dividends.

Answers

The cost of equity is equal to the rate of return required by stockholders.

The cost of equity refers to the return on investment that shareholders expect to receive in order to compensate for the risk they undertake by investing in a company's stock. It is the rate of return required by stockholders to justify their investment and compensate for the opportunity cost of investing in alternative assets with similar risk profiles.

Stockholders, as owners of the company, bear the risk associated with the company's performance and future cash flows. Therefore, they expect a certain level of return that reflects the risk they are taking on. This return is often influenced by factors such as the company's financial health, growth prospects, industry conditions, and prevailing market rates.

The cost of equity is distinct from the cost of debt, which represents the interest rate a company pays to borrow funds. While the cost of debt is relatively straightforward to determine based on interest rates and credit risk, the cost of equity is more subjective and relies on investor expectations and perceptions. It is often estimated using models such as the Capital Asset Pricing Model (CAPM), which takes into account the risk-free rate of return, market risk premium, and the stock's beta coefficient. Overall, the cost of equity serves as a critical factor in evaluating the cost of capital for a company and plays a crucial role in investment decision-making and financial planning.

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28
250 grams of flour cost $17. 0. How much will 3 bags each holding 1. 5 kg
of flour cost?​

Answers

3 bags, each holding 1.5 kg of flour, will cost $306.00.

The cost of 3 bags, each holding 1.5 kg of flour, we need to convert the weight from kilograms to grams and then calculate the total cost.

1 kilogram (kg) = 1000 grams (g).

1.5 kg is equal to 1.5 × 1000 = 1500 grams.

Given that 250 grams of flour cost $17.0, we can calculate the cost per gram

Cost per gram = Total cost / Total grams

Cost per gram = $17.0 / 250 grams

Now, we can calculate the total cost for 3 bags of flour

Total cost = Cost per gram × Total grams

Total cost = (Cost per gram × 1500 grams) × 3 bags

Putting in the values, we get

Total cost = ($17.0 / 250 grams) × 1500 grams × 3

Total cost = ($17.0 / 250) × 1500 × 3

Total cost = $0.068 × 1500 × 3

Total cost = $306.00

Therefore, 3 bags, each holding 1.5 kg of flour, will cost $306.00.

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our friend offers to you to be a part of his partnership business. If you agree to this, you will receive $5,000 at the end of each of the next 6 years. Your friend's partnership generates a 3% annual return. If instead you wait 6 years with receiving the money, and receive an equivalent amount of money at the end of year 6 in one large payment, how much would it need to be

Answers

If you agree to be a part of your friend's partnership business, you will receive $5,000 at the end of each of the next 6 years.

To calculate the equivalent amount needed in one large payment at the end of year 6, we need to consider the time value of money. The discount rate represents the rate of return required for an investment to be considered worthwhile. In this case, the partnership generates a 3% annual return.

Using the concept of present value, we can calculate the equivalent amount needed. We need to find the present value of receiving $5,000 at the end of each year for 6 years, discounted at a rate of 3% per year.

The formula to calculate the present value of an annuity is:

PV = PMT * [tex][(1 - (1 + r)^(-n)) / r][/tex]

Where PV is the present value, PMT is the payment amount, r is the discount rate, and n is the number of periods.

Substituting the given values, we have:

PV = $5,000 *[tex][(1 - (1 + 0.03)^(-6)) / 0.03][/tex]

Solving this equation will give us the equivalent amount needed in one large payment at the end of year 6.

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thank you very much!!!!! thank you

Answers

Answer:

x= 2√15

Step-by-step explanation:

in a right triangle, a^2+b^2= c^2

14^2+ x^2= 16^2

196+x^2= 256

x^2= 60

x= 2√15

Fashion trends are a nonprice determinant for demand because they do not affect demand. they change the supply of accessories. they influence people's tastes and preferences in clothing. they cause a movement along the demand curve.

Answers

Fashion trends influence people's tastes and preferences in clothing.

Fashion trends have a significant impact on the demand for clothing and fashion accessories. They play a crucial role in shaping people's tastes and preferences, which directly affect their purchasing decisions. As fashion trends change, consumers are influenced to adopt new styles, designs, and aesthetics, leading to shifts in their demand for clothing items.

Fashion trends are a non price determinant of demand because they operate independently of the price of the products. Unlike factors like price, income, or availability, fashion trends do not directly affect the quantity demanded at a given price. Instead, they influence consumers' preferences, attitudes, and perceptions towards different clothing options, leading to changes in the overall demand for fashion products.

Fashion trends can create a sense of novelty, social acceptance, and personal expression, driving consumers to seek out specific styles or brands that align with the current trends. This influence on people's tastes and preferences in clothing can result in shifts in demand curves as consumer preferences change over time. Therefore, fashion trends are a significant nonprice determinant of demand in the fashion industry.

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What is the volume of this cylinder?







Figure not drawn to scale



​Use \mathrm{\pi } \approx 3. 14π≈3. 14 and round your answer to the nearest whole number

Answers

The volume of the cylinder is approximately 785 cubic units, rounded to the nearest whole number.

To calculate the volume of a cylinder, we need to know the height (h) and the radius (r) of the circular base.

The formula to find the volume (V) of a cylinder is:

V = π * r^2 * h

In this case, since a figure is not provided, we'll assume the values for the height and radius.

Let's say the radius (r) of the circular base is 5 units (it could be inches, centimeters, etc.) and the height (h) is 10 units.

Plugging in these values into the formula:

V = 3.14 * (5^2) * 10

V = 3.14 * 25 * 10

V = 785 cubic units

Therefore, the volume of the cylinder is approximately 785 cubic units, rounded to the nearest whole number.

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In rectangle ABCD, the angle bisector of angle A intersects side DC at point M, and the angle bisector of angle C intersects side AB at point N. The length of CM is equal to the length of AM, and it is 6 inches longer than the length of DM. Find the perimeter of quadrilateral ANCM.

Answers

Answer:

4y-2x+6

Step-by-step explanation:

Let's denote the length of CM and AM as x. Since CM is 6 inches longer than DM, we can express DM's length as x - 6.

Since the angle bisector of angle A intersects side DC at point M, and the angle bisector of angle C intersects side AB at point N, we can conclude that triangles ANM and CDM are similar triangles.

According to the similarity of triangles, we can write the following proportion:

AN / CD = AM / DM

Substituting the given values, we have:

AN / CD = x / (x - 6)

Now, we know that rectangle ABCD has equal opposite sides. Therefore, CD is equal to AB. Let's denote their common length as y.

We can express the lengths AN and CD in terms of y using the similarity proportion:

AN = (x / (x - 6)) * CD

AN = (x / (x - 6)) * y

Since the opposite sides of a rectangle are equal, AB = CD = y.

Now, let's find the perimeter of quadrilateral ANCM:

Perimeter = AB + BC + CD + DA

Perimeter = y + BC + y + DA

Perimeter = 2y + BC + DA

To find BC and DA, we need to consider the fact that the angle bisector of angle A intersects side DC at point M. Since CM is equal to AM, we can divide side DC into two equal parts, each with length x. Therefore, DM has a length of (x - 6).

Similarly, since the angle bisector of angle C intersects side AB at point N, we can divide side AB into two equal parts, each with length x. Therefore, AN has a length of x.

BC = AB - AM = y - x

DA = DC - DM = y - (x - 6) = y - x + 6

Substituting the values of BC and DA into the perimeter equation, we have:

Perimeter = 2y + (y - x) + (y - x + 6)

Perimeter = 4y - 2x + 6

Therefore, the perimeter of quadrilateral ANCM is 4y - 2x + 6.

a red die and a blue die are tossed. what is the probability that the red die shows a three and the blue die shows a number greater than three?

Answers

The probability that the red die shows a three and the blue die shows a number greater than three is 1/12

How to determine the probability of a three and and a number greater than three?

From the question, we have the following parameters that can be used in our computation:

Red die

Blue die

The sample space of a die is

{1, 2, 3, 4, 5, 6}

using the above as a guide, we have the following:

P(3) = 1/6

P(Greater than 3) = 1/2

So, we have

P = 1/2 * 1/6

Evaluate

P = 1/12

Hence, the probability of a three and and a number greater than three is 1/12

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(refer to figure 63.) what is the length of the displaced threshold for runway 22 at toledo (tdz)?

Answers

The length of the displaced threshold for runway 22 at Toledo (TDZ) is 380 feet. Option C) is correct.

What is displaced threshold?

A displaced threshοld is a pοrtiοn οf a runway where landing aircraft are nοt allοwed tο tοuch dοwn. It is typically marked by white arrοws οr lines οn the runway surface.

The purpοse οf a displaced threshοld is tο prοvide additiοnal clearance fοr οbstacles, such as buildings οr terrain, that may be lοcated at the beginning οf the runway. By mοving the tοuchdοwn pοint further dοwn the runway, the usable length οf the runway is effectively shοrtened.

Displaced threshold is half of clearance,

Therefore, we calculate the clearance and divide it by 2

(1000 - 620) / 2 = 380

Thus, The length of the displaced threshold for runway 22 at Toledo (TDZ) is 380 feet. Option C) is correct.

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Complete question:

(Refer to Figure 63.) What is the length of the displaced threshold for runway 22 at Toledo (TDZ)?

A) 25 feet.

B) 100 feet.

C) 380 feet.

10 i Draw the graph of linear equation 7x + y = 13. From the graph, find the points where the line meets the axes.​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given equation of line is

[tex]\sf \: 7x + y = 13 \\ [/tex]

On substituting x = 0, we get

[tex]\sf \: 0 + y = 13\\ [/tex]

[tex]\sf \: y = 13 \\ [/tex]

[tex]\bf\implies \:y = 13 \\ [/tex]

On substituting x = 1, we get

[tex]\sf \: 7 \times 1 + y =13 \\ [/tex]

[tex]\sf \: 7 + y= 13 \\ [/tex]

[tex]\bf\implies \:y = 6 \\ [/tex]

On substituting x = 2, we get

[tex]\sf \: 7 \times 2 + y =13 \\ [/tex]

[tex]\sf \: 14 + y= 13 \\ [/tex]

[tex]\bf\implies \:y = - 1 \\ [/tex]

Hᴇɴᴄᴇ,

☆ Pair of points of the given equation are shown in the below table.

[tex]\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 13 \\ \\ \sf 1 & \sf 6\\\\ \sf 2 & \sf - 1 \end{array}} \\ \end{gathered} \\ [/tex]

☆ Now plot a graph using the above points.

☆ See the graph in attachment.

Now,

From graph, we concluded that given line meets the x - axis at (13/7, 0)

When the Ford recall department performed their own crash test of the Pinto after field reports had come in, they discovered that the average speed at which the Pinto's fuel tank was likely to rupture in a rear-end collision was _____ miles per hour.

Answers

At the point when the Portage review division played out its own Crash Test of the Pinto, it found that the normal speed at which the Pinto's gas tank will crack was 25 miles each hour.

At the point when the Passage review division played out their own accident trial of the Pinto after field reports had come in, they found that the normal speed at which the Pinto's gas tank was probably going to burst in a backside impact was 25 miles each hour.

A crash test is a kind of destructive testing that is usually done to make sure that various modes of transportation or related systems and components meet safe design standards in terms of crashworthiness and compatibility.

The moving barrier, which resembles the front of a 1970s car, strikes the side of the test vehicle at a speed of 39 mph and an angle of 27 degrees during the NHTSA crash test.

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