how do u solve thissss??? :)​

How Do U Solve Thissss??? :)

Answers

Answer 1

The solution of expression 1 /(2x - 3) + 2/(x - 3) = 1 in fraction form is,

⇒ x = (7 ± √85)/2

We have to given that;

An expression to solve is,

⇒ 1 /(2x - 3) + 2/(x - 3) = 1

Now, We can simplify as;

⇒ 1 /(2x - 3) + 2/(x - 3) = 1

⇒ (x - 3) + 2 (2x - 3) = (2x - 3) (x - 3)

⇒ x - 3 + 4x - 6 = 2x² - 6x - 3x + 9

⇒ 5x - 9 = 2x² - 9x + 9

⇒ 2x² - 14x - 18 = 0

⇒ 2 (x² - 7x - 9) = 0

⇒ x² - 7x - 9 = 0

By using quadratic formula we get;

⇒ x = (- (- 7) ± √7² - 4×1×-9) / 2

⇒ x = (7 ± √85)/2

Therefore, The solution is,

⇒ x = (7 ± √85)/2

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Related Questions

The nurse caring for a patient who is returned to the nursing until after receiving iodine-131 tositumomab limitations exposure by:

Answers

The nurse would limit the exposure by the act of shielding. Option D

What is the exposure?

We know that radiation can be able to enter into the body of a person and this is capable of causing a lot of damage to the individual that has been through the exposure.

The nurse that is caring for the patient that has been exposed would also do his or her best to ensure that he or she is not exposed and this can be done when the nurse is shielded to avoid exposure to the iodine isotope.

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Missing parts;

The nurse caring for a patient who is returned to the nursing unit after receiving iodine-131 tositumomab limits exposure by:

A. labeling

B. measuring

C.rinsing

D. sheilding

If an object, beginning at rest, is moving at a speed of 700 m/s after 2.75 min, what is its acceleration.

Answers

The object's acceleration can be calculated using the equation of motion. Given that the object starts from rest and reaches a speed of 700 m/s after 2.75 minutes, the acceleration can be determined as 8.72 m/s².

To find the acceleration, we can use the equation of motion:

v = u + at,

where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. In this case, the object starts from rest, so the initial velocity u is 0 m/s. The final velocity v is given as 700 m/s, and the time t is 2.75 minutes, which needs to be converted to seconds.

Converting 2.75 minutes to seconds: 2.75 minutes × 60 seconds/minute = 165 seconds.

Now we can substitute the values into the equation:

700 = 0 + a × 165.

Simplifying the equation:

a = 700/165 ≈ 4.24 m/s².

Therefore, the object's acceleration is approximately 4.24 m/s².

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Rex contracts with Spicy Pizza to deliver its products. After the deal has been partially performed, both parties inform each other that they would like to cancel the contract. Rex and Spicy may rescind Group of answer choices none of their contract. their entire contract. their contract to the extent that it is executory. their contract to the extent that it has been executed.

Answers

Rex and Spicy Pizza, after partially performing the contract, may rescind their entire contract or their contract to the extent that it is executory.

Rescission refers to the cancellation or termination of a contract. In this scenario, Rex and Spicy Pizza have both expressed their desire to cancel the contract after partially performing it. The parties have two options for rescinding the contract. First, they can rescind their entire contract, which means they nullify the entire agreement and both parties are released from their obligations. Alternatively, they can rescind the contract to the extent that it is executory, meaning they cancel the remaining unperformed obligations while preserving the rights and duties that have already been fulfilled. The specific choice between these options would depend on the mutual agreement and circumstances of the contract between Rex and Spicy Pizza.

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Jennifer wants to add a bow to her pin corsage. She has chosen the color, but needs to decide on a size for the ribbon. What size should she pick for a
small pin corsage?

Answers

For a small pin corsage, Jennifer should pick a ribbon size that is proportional to the overall size of the corsage and doesn't overpower it. Generally, a ribbon width of around 1/4 inch (approximately 0.6 cm) is considered suitable for small pin corsages. This size allows the bow to add a decorative touch without overwhelming the corsage itself. However, the final decision depends on Jennifer's personal preference and the specific design of the corsage.

The use of cost data to develop and identify superior strategies that will produce a sustainable competitive advantage is called a.strategic cost management. b.customer value. c.strategic decision making. dpetitive advantage.

Answers

The correct answer is a. strategic cost management.

Strategic cost management is the practice of utilizing cost data and analysis to develop and identify effective strategies that can lead to a sustainable competitive advantage. It involves analyzing the costs associated with various business activities and processes and using this information to make informed decisions regarding resource allocation, pricing, product development, and operational efficiency.

By understanding and managing costs strategically, businesses can identify areas where they can reduce costs, improve productivity, and enhance value creation. This allows them to differentiate themselves from competitors, deliver superior customer value, and ultimately achieve a sustainable competitive advantage in the market. Strategic cost management goes beyond simply minimizing costs; it focuses on optimizing the allocation of resources and aligning cost structures with the overall strategic objectives of the organization. It involves a systematic and holistic approach to cost analysis, incorporating both internal and external factors to make strategic decisions that drive long-term success.

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5. to the nearest tenth of a centimeter, how tall is a rectangular prism with a base area of 64cm and a volume of
1120cm?? (1 pt)

Answers

Rounding to the nearest tenth of a centimeter, the height of the rectangular prism is approximately 17.5 cm.

To find the area of a rectangular prism, you need to calculate the combined surface area of all six faces. A rectangular prism has three pairs of congruent faces, where each pair consists of opposite faces.

The formula to calculate the surface area of a rectangular prism is:

Surface Area = 2lw + 2lh + 2wh

Where:

l is the length of the rectangular prism

w is the width of the rectangular prism

h is the height of the rectangular prism

To determine the height of the rectangular prism, we can use the formula for the volume of a rectangular prism:

Volume = Length * Width * Height

Given that the base area is 64 cm² and the volume is 1120 cm³, we can find the height by dividing the volume by the base area:

Height = Volume / Base Area

Height = 1120 cm³ / 64 cm²

Height = 17.5 cm

Rounding to the nearest tenth of a centimeter, the height of the rectangular prism is approximately 17.5 cm.

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a computer store manager buys several computers of the same model for $12,780. the store can regain this investment by selling all but 6 of the computers at a profit of $355 per computer. to do this, how many computers must be sold, and at what price

Answers

The manager must sell 30 computers at a selling price of approximately $710 per computer.

To determine how many computers need to be sold and at what price, let's break down the given information:

The store manager buys several computers of the same model for $12,780.

The store can regain this investment by selling all but 6 of the computers.

The profit per computer is $355.

First, let's calculate the total cost of the computers by subtracting the profit from the initial investment:

Total Cost = Initial Investment - Profit

Total Cost = $12,780 - ($355 × 6)

Total Cost = $12,780 - $2,130

Total Cost = $10,650

Now, let's calculate the number of computers that need to be sold to recover the investment:

Number of Computers to be Sold = Total Cost / Profit per Computer

Number of Computers to be Sold = $10,650 / $355

Number of Computers to be Sold ≈ 30

Therefore, the store manager needs to sell 30 computers to recover the investment.

Next, let's determine the selling price for each computer:

Selling Price per Computer = Cost per Computer + Profit per Computer

Selling Price per Computer = $10,650 / (30 - 6) + $355

Selling Price per Computer ≈ $355 + $355

Selling Price per Computer ≈ $710

Hence, to recover the investment, the manager must sell 30 computers at a selling price of approximately $710 per computer.

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As shown in the picture What is the solution to this system?

Answers

The solution to this system of equations 3x + 2y = 6 and -4x + 5y = 15 is: (0,3)

Here, we have,

given that,

the equations are:

3x + 2y = 6 ....1

-4x + 5y = 15 ....2

now, from 1 and 2 , we get,

12x + 8y = 24

-12x + 15y = 45

we have,

23 y = 69

=> y = 3

so, x = 0

Hence, The solution to this system of equations 3x + 2y = 6 and -4x + 5y = 15 is: (0,3)

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Each side of the base measures 4.5 cm and the height of the pyramid is 10 cm. If the density of maple is

0.676c / c * m ^ 3 what is the mass of the block, to the nearest tenth of a gram?

A. 45.6

B. 67.5

C. 136.9

D. 202.5

Answers

The mass of the block is 45.63 cc.

Here, we have,

Given the following data;

Side length of the base = 4.5 cm

Height = 10 cm

To find the volume of pyramid with a square base;

Mathematically, the volume of a pyramid with a square base is given by the formula;

Volume of square-based pyramid = A(h/3)

Where;

A is the area of the square base.

h is the height of the pyramid.

First of all, we would find the area of the square base;

Area of square, A = L²

A = 4.5²

A = 20.25 ft²

Next, we find the volume of the square-based pyramid;

Volume = 20.25(10/3)

Volume = 202.5 /3

Volume = 67.5 cm³

Then the mass of the block is 67.5 cm³ * 0.676 cc/cm³ = 45.63 cc

Hence, the mass of the block is 45.63 cc.

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For an ANOVA, when the null hypothesis is true, the F-ratio is balanced so that the numerator and the denominator are both measuring the same sources of variance

Answers

In an analysis of variance (ANOVA), the F-ratio is used to determine whether there are significant differences between the means of two or more groups.

When the null hypothesis is true, it means that there are no significant differences between the group means, and any observed differences are due to random chance.

In this scenario, the F-ratio is balanced in such a way that the numerator and the denominator both measure the same sources of variance.

The F-ratio is calculated by dividing the variability between the group means (numerator) by the variability within the groups (denominator).

When the null hypothesis is true, both the numerator and the denominator represent the same underlying variation.

This ensures that the F-ratio is balanced and close to 1.0, indicating that the group means are similar and any observed differences are likely due to chance.

The balanced F-ratio is a crucial aspect of ANOVA as it allows researchers to assess the significance of group differences accurately.

If the F-ratio deviates significantly from 1.0, it suggests that the observed differences between the group means are unlikely to be due to random chance alone, and the null hypothesis is rejected in favor of the alternative hypothesis.

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Help on the answer please

Answers

Step-by-step explanation:

You need to find 37%  of  $ 77.04

  37%   is  .37 in decimal form

.37  * $ 77.04 = $28.50

Making the retail price :  77.04 + 28.50 = $  105.54     Check !

What’s the median of 23,56,14,18,23,19

Answers

We first arrange the numbers in ascending order to get the one in the middle.

14, 18, 19, 23, 23, 56.

Here, the middle numbers are 19 and 23.

Total number = 6,

To find the median, we sum the two middle numbers together and divide by 2:

(19 + 23) / 2 = 42/2 = 21.

So, the median is 21.

(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 designated pοrtiοn οf a runway where the starting pοint fοr landing aircraft is mοved further dοwn the runway. It is typically marked by white arrοws οr οther markings οn the pavement. The purpοse οf a displaced threshοld is tο create a clear area fοr οbstacles, such as buildings οr terrain, at the beginning οf the runway, allοwing aircraft tο apprοach the runway at a safer pοint.

This can be necessary due tο the presence οf οbstructiοns οr tο meet certain οperatiοnal requirements. When a displaced threshοld is present, the pοrtiοn οf the runway befοre the threshοld is nοt available fοr landing and takeοff οperatiοns.

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.

The country A Consumer Price Index is approximated by the following​ formula, where t represents the number of years after 1990. A(t)=100e^0. 021t For​ instance, since​ A(16) is about 140​, the amount of goods that could be purchased for​ $100 in 1990 cost about ​$140 in 2006. Use the function to determine the year during which costs will be ​70% higher than in 1990

Answers

The costs will be 70% higher than in 1990 in the year 2008.

We have,

Given the formula for A(t):

[tex]A(t) = 100e^{0.021t},[/tex]

we can set up the equation:

[tex]100e^{0.021t} = 170[/tex]

Dividing both sides of the equation by 100:

[tex]e^{0.021t} = 1.7[/tex]

Taking the natural logarithm (ln) of both sides to isolate the exponent:

[tex]ln(e^{0.021t}) = ln(1.7)[/tex]

0.021t = ln(1.7)

Now, we can solve for t by dividing both sides by 0.021:

t = ln(1.7) / 0.021

t ≈ 17.97

Since t represents the number of years after 1990, the year during which costs will be 70% higher than in 1990 is approximate.

= 1990 + 17.97

= 2007.97.

Thus,

Rounding it to the nearest whole year, we can conclude that costs will be 70% higher than in 1990 in the year 2008.

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A client is diagnosed with myocardial infarction. Which data collection findings indicate that the client has developed left-sided heart failure

Answers

Data collection findings that indicate a client has developed left-sided heart failure include pulmonary congestion, shortness of breath, crackles in the lungs, decreased oxygen saturation, and fatigue.

Left-sided heart failure occurs when the left side of the heart is unable to effectively pump blood to the body's organs and tissues. The following data collection findings are commonly associated with left-sided heart failure:

Pulmonary congestion: The client may present with symptoms of fluid buildup in the lungs, such as coughing, wheezing, or pink, frothy sputum.

Shortness of breath: Known as dyspnea, the client may experience difficulty breathing, especially during physical exertion or when lying down.

Crackles in the lungs: These abnormal lung sounds, often described as "rales," can be heard upon auscultation and indicate fluid in the lungs.

Decreased oxygen saturation: The client's oxygen levels may be lower than normal, as left-sided heart failure compromises the delivery of oxygenated blood to the body.

Fatigue: Due to inadequate blood flow and oxygen supply, the client may feel tired and lack energy.

These data collection findings, along with other clinical assessments and diagnostic tests, help healthcare professionals identify and diagnose left-sided heart failure in a client with myocardial infarction.

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Examples of words American English words like apartment versus flat and fall versus autumn are considered archaic linguistic features that show up in colonial versions of language. This concept is known as______

Answers

The concept that refers to archaic linguistic features that appear in colonial versions of language, such as the use of different words like apartment versus flat and fall versus autumn, is known as "colonial lag."

Colonial lag is a linguistic concept that describes the phenomenon of archaic language features persisting in the colonial versions of a language. When a colony is established, the language spoken by the colonizers may undergo changes in vocabulary, pronunciation, and grammar over time in the home country. However, the language spoken in the colony often retains older linguistic features that have become archaic or outdated in the home country.

This can result in differences between the colonial version of the language and the language spoken in the home country. Examples of such differences can be observed in American English, where certain words and expressions have diverged from their British English counterparts. Words like "apartment" (American English) versus "flat" (British English) and "fall" (American English) versus "autumn" (British English) illustrate the colonial lag phenomenon.

Colonial lag is a reflection of the historical and cultural influences that shape language development in colonial contexts. It highlights the lasting impact of language as a marker of identity and cultural heritage within different regions and communities.

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-) Write the prime factorization of 968.
A) 2-2 11 11 11
B) 2.2.2.2.11
C) 2.2.2.11-11
D) 8-121

Answers

Answer:

2,2,2,11,11

Step-by-step explanation:

968/2

484/2

242/2

121/11

11/11

An air compressor begins its cycle with 0.8 cu in of air at atmospheric pressure (14.7 psi or 0 psig) in its cylinder. The air leaving the cylinder has an absolute pressure of 42 psia. The temperature remains the same. What is the new volume of the air leaving the compressor

Answers

The new volume of the air leaving the compressor can be calculated using Boyle's Law, which states that for a fixed amount of gas at a constant temperature, the product of pressure and volume is constant.

According to Boyle's Law,[tex]P1V1 = P2V2[/tex], where [tex]P1 and V1[/tex] are the initial pressure and volume, and [tex]P2 and V2[/tex] are the final pressure and volume, respectively. In this case, we are given the initial volume (V1 = 0.8 cu in) and the initial pressure (P1 = 14.7 psi), as well as the final pressure (P2 = 42 psia).

Using Boyle's Law, we can rearrange the formula to solve for [tex]V2:[/tex]

[tex]V2 = (P1 * V1) / P2[/tex]

Plugging in the values, we get:

V2 = (14.7 psi * 0.8 cu in) / 42 psia

Simplifying the equation, we find:

[tex]V2[/tex] ≈ 0.280 cu in

Therefore, the new volume of the air leaving the compressor is approximately 0.280 cubic inches. It's important to note that this calculation assumes the temperature remains constant throughout the process.

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Nancy has the following data:
4 12 2 v 18
If the median is 12, which number
could v be?

Answers

If the median of the given data is 12, then we need to arrange the numbers in ascending order:

2, 4, v, 12, 18

Since the median is the middle value when the data is arranged in ascending order, v must be a number between 4 and 12 (exclusive) in order to maintain the median as 12.

Therefore, v could be any number greater than 4 and less than 12.

Helen knows how much a box of candy will cost and how much a certain book will cost. How may she find out how much money she will have left after paying for the book and the candy?

Answers

Answer: She can subtract the cost of the book and the candy from the amount of money she has.

Step-by-step explanation:

If a mortgage company computes interest on 1,000,000 mortgages per day. They round up the interest charged each day, so that charges are on average $0.005 higher each day than they should be. How much fraudulent money has the company acquired in one year (365 days)

Answers

The mortgage company has acquired $1,825,000 in fraudulent money in one year.

To calculate the fraudulent money acquired by the mortgage company in one year, we need to determine the excess amount charged per mortgage each day and then multiply it by the number of mortgages computed per day and the number of days in a year.

Calculate the excess amount charged per mortgage each day:

The company rounds up the interest charged each day, so the excess amount per mortgage is $0.005.

Calculate the total number of excess charges per day:

Since the company computes interest on 1,000,000 mortgages per day, the total number of excess charges per day is 1,000,000 * $0.005.

Calculate the total number of excess charges in one year (365 days):

Multiply the total number of excess charges per day by the number of days in a year (365).

Calculate the fraudulent money acquired in one year:

The fraudulent money acquired in one year is the total number of excess charges in one year.

Let's perform the calculations:

Excess amount charged per mortgage each day: $0.005

Total number of excess charges per day: 1,000,000 * $0.005 = $5,000

Total number of excess charges in one year (365 days): $5,000 * 365 = $1,825,000

Fraudulent money acquired in one year: $1,825,000

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Under the Americans with Disabilities Act, accommodation is required in _____. a. the work itself b. the work environment c. benefits and privileges associated with the work

Answers

Under the Americans with Disabilities Act (ADA), accommodation is required in all three areas mentioned: the work itself, the work environment, and the benefits and privileges associated with the work.

The ADA is a federal law in the United States that prohibits discrimination against individuals with disabilities in various aspects of employment.

Firstly, accommodation is required in the work itself. This means that employers must make reasonable adjustments to enable individuals with disabilities to perform the essential functions of their job. This can include modifying tasks, providing assistive technology, or adjusting work schedules.

Secondly, accommodation is required in the work environment. Employers must remove barriers that may prevent individuals with disabilities from accessing or navigating the physical workplace. This may involve installing ramps, widening doorways, or providing accessible restrooms.

Lastly, accommodation is required in the benefits and privileges associated with the work. Employers must ensure that individuals with disabilities have equal access to employee benefits, such as health insurance, retirement plans, and training opportunities. Additionally, employers should provide reasonable accommodations to enable employees with disabilities to enjoy the same privileges and opportunities as their colleagues.

In conclusion, the ADA mandates accommodation in the work itself, the work environment, and the benefits and privileges associated with the work, ensuring equal opportunities and accessibility for individuals with disabilities.

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A store has 11.2 kg of potatoes. Maria buys 572 g of potatoes from the store and Colin buys 1.42 kg of potatoes from the store.
After these two purchases, how many grams of potatoes does the store have left?

Answers


To find out how many grams of potatoes the store has left after the two purchases, we need to subtract the total weight of the potatoes bought by Maria and Colin from the initial weight of 11.2 kg.

First, we need to convert the weights to a consistent unit, such as grams.

Given:
Initial weight of potatoes = 11.2 kg = 11.2 * 1000 g = 11,200 g
Maria's purchase = 572 g
Colin's purchase = 1.42 kg = 1.42 * 1000 g = 1420 g

Total weight of potatoes bought = Maria's purchase + Colin's purchase = 572 g + 1420 g = 1992 g

To find the remaining weight of potatoes, we subtract the total weight of potatoes bought from the initial weight:

Remaining weight of potatoes = Initial weight - Total weight bought
= 11,200 g - 1992 g
= 9208 g

Therefore, the store has 9208 grams of potatoes left after Maria and Colin's purchases.

I hope this helps! :)

Frederick Taylor, the founder of scientific management, believed the basis of the conflict between the management and the labor force of a firm was:

Answers

Frederick Taylor, the founder of scientific management, believed that the basis of the conflict between management and the labor force of a firm was primarily due to a lack of understanding and communication.

Taylor believed that conflicts arose because both management and workers had different perspectives and goals. Management focused on maximizing efficiency and productivity, while workers were concerned with their own interests, such as wages and working conditions. According to Taylor, the root cause of this conflict was a lack of understanding and communication between the two parties.

He argued that by implementing scientific methods and principles, such as time and motion studies, standardization, and clear job descriptions, this conflict could be minimized. Taylor's approach aimed to create a more efficient and harmonious working environment by aligning the interests of both management and workers.

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HELP PLS. Choose the period with the highest grade, and provide and explanation based on the shape on the histograms.

Answers

Answer:

Step-by-step explanation:

4th

A bag contains eleven equally sized marbles, which are numbered. Two marbles are chosen at random and replaced after each selection. What is the probability that the first marble chosen is shaded and the second marble chosen is labeled with an odd number?.

Answers

The probability that the first marble chosen is shaded and the second marble chosen is labeled with an odd number is : [tex]\frac{24}{121}[/tex]

We have the information from the question:

We have total number of marbles are = 11

Since, after choosing the first marble, we are putting it back and then the second marble is chosen.

As, there are 4 shaded marbles.

So, the probability of getting the first marble shaded = [tex]\frac{\frac{4}{1} }{\frac{11}{1} }[/tex] = [tex]\frac{4}{11}[/tex]

Also, there are 6 odd labeled marbles.

Similarly,

The probability of getting the second marble being odd labeled = [tex]\frac{\frac{6}{1} }{\frac{11}{1} }[/tex] = [tex]\frac{6}{11}[/tex]

So, the probability of getting the first marble shaded and second marble labeled odd :

=> [tex]\frac{4}{11}[/tex] × [tex]\frac{6}{11}[/tex] = [tex]\frac{24}{121}[/tex]

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suppose set a contains 97 elements and set b contains 67 elements. if the total number elements in either set a or set b is 132, how many elements do sets a and b have in common?

Answers

Answer:

32 elements

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

Use the formula for the union of two sets:

|A ∪ B| = |A| + |B| - |A ∩ B|

In this case, we have:

|A ∪ B| = 132,|A| = 97, and |B| = 67.

Plugging these values into the formula:

132 = 97 + 67 - |A ∩ B|

Now, solve for |A ∩ B| (the number of elements in common):

|A ∩ B| = 97 + 67 - 132 |A ∩ B| = 164 - 132 |A ∩ B| = 32

So, sets A and B have 32 elements in common.

Sarah is blowing up spherical balloons for her brother’s birthday party. One of the balloons has a radius of 3 inches. Suppose Sarah can inflate the balloon at a rate of 200 cubic inches per minute. How long will it take her to inflate the balloon? Round to the nearest tenth.

Answers

Rounding to the nearest tenth, it will take Sarah approximately 0.6 minutes to inflate the balloon.

How to calculate how long will it take her to inflate the balloon

Using the formula for the volume of a sphere:

V = (4/3) * π * r^3,

where V is the volume and r is the radius of the sphere.

In this case, the radius of the balloon is 3 inches. Substituting this value into the formula, we can find the volume:

V = (4/3) * π * (3^3)

V = (4/3) * π * 27

V ≈ 113.097 cubic inches.

Sarah can inflate the balloon at a rate of 200 cubic inches per minute. To find the time it will take her to inflate the balloon, we divide the volume by the rate:

Time = Volume / Rate

Time = 113.097 / 200

Time ≈ 0.5655 minutes.

Rounding to the nearest tenth, it will take Sarah approximately 0.6 minutes to inflate the balloon.

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XY || WZ. What is VZ?

Answers

Answer:

VZ = 18

Step-by-step explanation:

If XY || WZ, triangles VYX and

VZW are similar due to having 3 angles with same measurements. Similar figures’ corresponding sides can be found via the common ratio between the sides:

VZ/(36+VZ)= 24/72

VZ/(36+VZ) = 1/3

VZ = (36+VZ)/3

VZ = 12 + VZ/3

3VZ/3 - VZ/3 = 12

2VZ/3 = 12

VZ = 12 * 3/2

VZ = 18

the national fire incident reporting service stated that, among residential fires, 73% are in family homes, 20% are in apartments, and 7% are in other types of dwellings. a) if four residential fires are independently reported on a single day, what is the probability that two are in family homes, one is in an apartment, and one is in another type of dwelling? b) if six residential fires are independently reported on a single day, what is the probability that three or more were reported from apartments? c) the typical cost of responding to a fire emergency for the local fire department depends on the type of dwelling. for family homes, the cost ascends to 800 usd, whereas for apartments and other types of dwellings the costs are 500 usd and 1,000 usd. the monthly budget for the fire department emergency response team is 20,000 usd. what is, in expectance, the maximum number of fires to which the fire department will be able to provide assistance without running out of budget?

Answers

A. The probability that two of the four fires are in family homes, one is in an apartment, and one is in another type of dwelling is: 0.0083

B) The probability that three or more of the six fires were reported from apartments is: 0.6723

C The probability that no more than two fires were reported from apartments is: 0.0032

How to calculate the probability

A) The probability that two of the four fires are in family homes, one is in an apartment, and one is in another type of dwelling is:

(0.73)² (0.20) (0.07)

= 0.0083

B) The probability that three or more of the six fires were reported from apartments is:

1 - (0.8) × 0.8 × 0.8⁴

= 0.6723

C. The probability that no more than two fires were reported from apartments is:

(0.8)² (0.2)⁴

= 0.0032

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