Consider the following game, where M > 0: The matrix payoff is shown below Gill Left Right James Accept 0, 0 2, −2 Reject , − 1, −1. a) Do players have a dominant strategy? b) What is the Nash equilibrium (or equilibria)? c) Are there any values of M such there is no Nash equilibrium in pure strategy? d) Find the mixed strategies Nash equilibrium?

Answers

Answer 1

a) No player has a dominant strategy. Gill does not have a dominant strategy, because when James plays Accept, the best choice for Gill is to play Left, and when James plays Reject, the best choice for Gill is to play Right.

The same goes for James. b) The Nash equilibrium is (Right, Reject) when M>2/3 and M!=2. For M<=2/3 and M!=2, there is no Nash equilibrium in pure strategies, only in mixed strategies. c) For M<=2/3 and M!=2, there is no Nash equilibrium in pure strategies, only in mixed strategies. d) To find the mixed strategies Nash equilibrium, we need to assume that both players play Left and Right with probability p and 1-p, respectively.

Let's start with Gill's expected payoffs. If James plays Accept: Gill's expected payoff is 2p-2(1-p)=4p-2If James plays Reject: Gill's expected payoff is -p-(1-p)=-1 The expected payoffs are equal when 4p-2=-1, which gives us p=1/2. So, Gill should play Left and Right with probability 1/2 each. Now let's move on to James' expected payoffs.

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Related Questions

Can someone hurry and help me please!! If you answer be at least 99% sure. Thank you!
What is a likely result of an increase in trade between nations?
A. It will provide consumers with more choice at lower prices.
B. It will increase the cost of goods due to increased competition.
C. It will lower the standard of living in the weaker trade nation.
D. It will restrict the market for domestic products.

Answers

Answer:

The answer is A. It will provide consumers with more choice at lower prices.

Explanation:

Option (a), which will give customers more choices at a reduced cost, is the best choice.

What is a likely outcome of an increase in international trade?

Trade allows for the expansion of markets and access to products and services that might not otherwise be available locally. The competitiveness in the market has increased as a result of global trade. The cost of the final product for the consumer is reduced as a result of increased pricing competition.

Because it promotes market specialization, fosters innovation, and decreases the cost of commodities globally, trade is crucial for maintaining a competitive global economy. A further benefit of trade is having access to goods and services that may be more affordable and of higher quality than those that are provided domestically.

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Marie's Decorating produces and sells a clock for $100 per dock. In 2021. 100. 000 clocks were produced and 80. 000 were sold. Other information for the year includes:(Direct materials $30. 00 per clock

Answers

Marie's Decorating produced 100,000 clocks, sold 80,000 at $100 each, and had a direct materials cost of $30 per clock in 2021.

In 2021, Marie's Decorating produced a total of 100,000 clocks. However, out of the total production, only 80,000 clocks were sold. This implies that there is an inventory of 20,000 clocks that remain unsold at the end of the year.

Considering the price per clock is $100, the total revenue generated from clock sales in 2021 would be $8,000,000 (80,000 clocks sold * $100).

The direct materials cost for each clock is stated to be $30.00. Therefore, the total direct materials cost for the 100,000 clocks produced would be $3,000,000 (100,000 clocks produced * $30.00 per clock).

By subtracting the direct materials cost from the total revenue, Marie's Decorating can determine the gross profit for the year. In this case, the gross profit would be $5,000,000 ($8,000,000 - $3,000,000).

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Complete Part 1 of the assignment by giving three examples of your workplace strengths and explaining each with one or two paragraphs for each strengths​

Answers

Answer:

Some examples of strengths you might mention include:

Enthusiasm.

Trustworthiness.

Creativity.

Discipline.

Patience.

Respectfulness.

Determination.

Dedication.

Explanation:

Assume that the next morning, the bond credit rating changes to A-/A-, and the new yield to maturity becomes 8.2%. What is the price of the bond after this change?
[From the prior problem: Calculate the price of the following corporate bond with a credit rating of BBB+ / Baa+: $1000 par value, 8% semi-annual pay coupon, 8.40% yield to maturity, and 5 years to maturity.}

Answers

If the bond credit rating changes to A-/A-, and the new yield to maturity becomes 8.2%, then the price of the bond will be $635.21.

To calculate the price of the bond after the credit rating change, we'll use the updated yield to maturity of 8.2%. The bond details remain the same:

Par value (PV) = $1000

Coupon rate (C) = 8% (semi-annual)

Yield to maturity (YTM) = 8.2% (semi-annual)

Years to maturity (n) = 5 (semi-annual)

To calculate the price of the bond, we can use the present value of the bond's cash flows:

Price = (C / 2) * [1 - (1 / (1 + YTM/2)ⁿ] + PV / (1 + YTM/2)ⁿ

Let's calculate the price of the bond after the credit rating change:

Price = (40 / 2) * [1 - (1 / (1 + 0.082/2)¹⁰)] + 1000 / (1 + 0.082/2)¹⁰

Price = 20 * [1 - (1 / (1.041)¹⁰)] + 1000 / (1.041)¹⁰

Price = 20 * (1 - 0.598799) + 1000 / 1.593848

Price = 20 * 0.401201 + 627.19

Price = 8.02402 + 627.19

Price = $635.21402

Therefore, after the credit rating change, the price of the bond would be approximately $635.21.

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Which assumption would a lender most likely make about a person with a credit score around 800?
O that the person has invested a great deal of money in the stock market
O that the person has had very few delinquent payments in the past
O that the person has lived in the same city for a long time
O that the person has avoided using credit cards

Answers

The correct answer would be the 2nd option.

which statement about the external environment and employment is true? group of answer choices external environmental conditions improve employment during upswings and worsen employment during downturns. external environmental conditions worsen employment during upswings and improve employment during downturns. external environmental conditions have no effect on employment during upswings and worsen employment during downturns. external environmental conditions worsen employment during upswings and have no effect on employment during downturns.

Answers

External environmental conditions improve employment during upswings and worsen employment during downturns is true. Option A is the correct answer.

Employer-employee interactions are described as the partnership between the two. When relevant, the terms of the employment contract, collective bargaining agreements, common law principles, and statutory rules controlling certain circumstances all regulate how employees are treated in the workplace. Option A is the correct answer.

An organization must monitor and maybe respond to the required changes as a result of several external environmental elements that have an impact on the employment relations within the business. Politics, economy, society, technology, law, and the environment are all external environmental elements that might affect how employees interact with one another. In addition to providing the labor force to complete the duties, employees and employee unions also serve as management's representatives for labor issues.

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The complete question is, "Which statement about the external environment and employment is true?

A. external environmental conditions improve employment during upswings and worsen employment during downturns.

B. external environmental conditions worsen employment during upswings and improve employment during downturns.

C. external environmental conditions have no effect on employment during upswings and worsen employment during downturns.

D. external environmental conditions worsen employment during upswings and have no effect on employment during downturns."

You do an extensive survey and learn that 15 out of the 200 people surveyed like to eat out on Tuesdays. You then look only at the 60 families answering survey and find that 10 prefer to eat out on Tuesdays. Are families for or less likely to eat out on Tuesday than the general population?

Answers

The family should be less likely to eat out on Tuesday as compared to the general population.

Given that,

Out of 200 people, 15 people should eat out on Tuesday.Now only look 60 families out of this 10 should be preferred to eat out on Tuesday.

Based on the given information, we can conclude that the family should be less likely to eat out on Tuesday as compared to the general population.

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The larger the investment you make, the easier it will be to
Question 8 options:

get money from other sources.

guarantee cash flow.

buy insurance.

streamline your products.

Answers

Answer:

get money from other sources

highlight four reasons why a seller would prepare a proforma invoice???​

Answers

Answer:

Pro forma invoices are sent to buyers ahead of a shipment or delivery of goods or services. Most pro forma invoices provide the buyer with a precise sale price. A pro forma invoice requires only enough information to allow customs to determine the duties needed from a general examination of the included goods.

Explanation:

hope i help

The Labor-Management Reporting and Disclosure Act (Landrum-Griffin Act) was designed to protect the rights of individual union members in their relations with their own union. Group of answer choices True False

Answers

Answer:

The correct answer is the first option: True.

Explanation:

To begin with, the "Labor Management Reporting Disclosure Act", or also known as Landrum-Griffin Act, was the name given to a law from the United States that basically has its main purpose in the protection of rights from the individual members of the Unions. This law focus particulary in the relationship that exists between the Union as an organization of power and the members inside due to a matter of internal affairs in the search of reducing abuse of power and position as well. That is why that this law seeks for the benefits of the individuals parties in the wake of the increase of their rights.

A taxpayer owes the ftb $1,000 and receives a demand for tax return letter, which she promptly ignores. what is the amount of penalty under r&tc section 19133 for her actions?

Answers

Since the penalty is subject to a minimum amount of $50, the taxpayer will be charged a penalty of $250.

Under R&TC Section 19133, the penalty for ignoring a demand for tax return letter is calculated based on a percentage of the tax due. The penalty is 25% of the tax owed, with a minimum penalty of $50.
In this case, the taxpayer owes $1,000 to the FTB (Franchise Tax Board) and has ignored the demand for tax return letter. To calculate the penalty, we take 25% of the tax owed:
25% of $1,000 = $250
It is important to note that ignoring a demand for tax return letter can have consequences, including the imposition of penalties and interest. It is advisable for taxpayers to respond promptly and fulfill their obligations to avoid such penalties.

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Which of the following choices is not a step that can reduce your spending?
a.
eating at home, rather than dining out
b. using budgeted cash only
c. forgoing premium cable TV channels
d. purchasing reduced fat lattes during the week

Answers

the answer is d) purchasing reduced fat lattes during the week

Out of the given options, you won't reduce your spending by d. purchasing reduced fat lattes during the week.

How can we reduce spending?

The best way to reduce spending is by spending less on things that we don't need or that we can do without.

In this case, spending on fat lattes won't be a way to reduce spending because they aren't very significant.

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Words have the power to shape our perceptions. While negative language focuses on the problems, positive language leads to _______________.

Answers

Answer:

Explanation:

Hehe

By viewing someone (including yourself) as a New Yorker, for example, you remove that person's individuality and instead, see him or her as a
prototypical representative of the group called New Yorkers. This process then allows you to distinguish New Yorkers from people who live in,
say, Texas or North Carolina. This is an example of

By viewing someone (including yourself) as a New Yorker, for example, you remove that person's individuality

Answers

Answer:

Categorization

Explanation:

Categorization is a process whereby an individual is given or labelled a social identity based on sharing similar characteristics, such as geographical location, with a particular group. In simple terms, an individual is considered and believed to have the same behavior as those group members they have something in common, which could be just geographical location.

Therefore, the scenario of cited in the question above is an example of categorization.

If the price of cocoa rises by 20 percent, the quantity supplied of cocoa rises by 4 percent. What is the elasticity of supply?

Answers

Answer: 0.2

Explanation:

Elasticity of supply shows the responsiveness to the quantity supplied for a good or service to changes in market price. Supply is  Elastic if its elasticity is greater than 1  and inelastic if elasticity is less than 1

Elasticity of supply = Percentage change in  quantity supplied / Percentage change in Price

= 4%/ 20%

=0.2 which is inelastic.

Loptech, a technology firm, wants to issue bonds for investment purposes. Loptech has one of the best credit ratings in the industry. Market rates for debt instruments average at .5% interest. Based on its credit rating, Loptech would likely sell bonds that pay _____.


0.25%

Indeterminable with current information

0.5%

0.75%

Answers

Answer:

The best option available is:

0.25%

Explanation:

Since Loptech has a great credit rating, it will pay a very low interest rate, at least lower than the average. Since the average interest rate is 5%, you should expect them to pay less than 5%. You cannot determine exactly what interest rate they will pay but if we consider the available options, the best choice is 0.25%.

Credit ratings work similarly for people and companies, e.g. the average interest rate charged by credit cards is around 14.5%, but people with very high credit scores, like 800 or so, will generally pay between 8-10% interest rates, while people with very low credit scores will pay over 20%.

Kayla and Rhys started fighting last week over who was going to be in charge of the Nickerson project. Budget cuts have made both of them grumpy.A. DirectB. Indirect

Answers

The situation described in the question is an example of indirect conflict. Indirect conflict occurs when two individuals are not directly confronting each other but are instead dealing with the same situation or issue in different ways. In this case, Kayla and Rhys are both vying for control over the Nickerson project, which has been affected by budget cuts.

These budget cuts have caused both of them to become grumpy, which is a common emotional response to conflict.
To resolve this conflict, Kayla and Rhys need to communicate effectively with each other and find a compromise that works for both of them. They should focus on finding solutions that are in line with the project's goals and budget constraints. By working together, they can come up with a plan that will benefit the project and help them both achieve their goals.
It is important to remember that conflicts are a natural part of any workplace and that they can be resolved through effective communication and collaboration. By addressing conflicts head-on and finding common ground, individuals can create a positive work environment and achieve success in their projects.

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How can I make money on the internet, List some that are easy for multiple people

Answers

Answer:

You can use some beermoney websites such as Swagbucks and RewardXP. You do surveys and tasks to earn money. I personally use RewardXP. You can cash out in PayPal, gift cards, and even prepaid gift cards that can be used as debit/credit cards. I have personally made $60 from RewardXP.

rosalie mark, vice president of human resources at black diamond incorporated, talks about how the chinese division of the company has a climbing wall at their office and how wages are rising. these kinds of trends will sometimes lead companies to: offshoring equity expansion reshoring non-equity expansion

Answers

The trend of having a climbing wall at the office and rising wages in the Chinese division of a company would likely lead to the option of "reshoring" for the company. The correct option is C).

Reshoring refers to the decision of bringing back or relocating business operations or production facilities to the company's home country from a foreign location.

In this case, the company may consider bringing back certain operations or functions to their home country, possibly due to rising costs or the desire to have better control and oversight over the operations.

Offshoring, on the other hand, refers to the practice of relocating operations or production to a foreign country. Equity expansion and non-equity expansion are not directly related to the discussed trends in this scenario. The correct answer is C).

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--The given question is incomplete, the complete question is given below "  Rosalie Mark, vice president of human resources at Black Diamond Incorporated, talks about how the Chinese division of the company has a climbing wall at their office and how wages are rising. These kinds of trends will sometimes lead companies to:

options

a, offshoring

b, equity expansion

c, reshoring

d, non-equity expansion "--

What expertise and characteristics should directors have or possess in companies like Spar and Shoprite? Explain THREE each

Answers

Expertise and characteristics that directors in companies like Spar and Shoprite should possess include knowledge of retail industry trends, financial acumen, and strong leadership skills.

What expertise and characteristics should directors have or possess?

Directors in companies like Spar and Shoprite play a crucial role in guiding the strategic direction of the organization, ensuring that it remains competitive and profitable in a constantly evolving retail landscape.

To do this effectively, they must possess a deep understanding of the industry, including emerging trends in consumer behavior, technology, and logistics. They must also have strong financial acumen, as they are responsible for overseeing the company's financial performance and making decisions that will drive growth and profitability.

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What best describes the relationship between short and long-term goals?​

Answers

Short term goals are what you set in order to eventually achieve a long term goal; They are the little achievements you achieve in the process of the long term goal- They help keep you on track.

Payroll records show employee earnings and any deductions from those earnings.
True
False

Answers

This is true..........

What is good government??

Answers

Answer:

Al-Rodhan's eight minimum criteria are: 1) participation, equity, and inclusiveness, 2) rule of law, 3) separation of powers, 4) free, independent, and responsible media, 5) government legitimacy, 6) accountability, 7) transparency, and 8) limiting the distorting effect of money in politics.

Explanation:

hope this helps!:)

Total sales: $60,230 Rate of commission: 6% on first $40,000
7% on next $10,000;
8% on sales over $50,000
Income: ?

Answers

Answer:

1000000 wdnjdkdidhxh fdjjxifid

tamika knows that there are more aspects to projects besides the technical specifications. as a successful systems architect, she knows that she must also be able to translate the needs of the user into specific requirements for which group?

Answers

Tamika is aware of the need for her to be able to translate user requests into detailed specifications for the team's developers.

What is meant by the term "translation" when referring to language conversion?

Reworking text from one language into another while preserving the original message and communication is called translation.

Which type of translation results in the translated text without the original text's style, structure, or content?

Gratis translation creates a TL text without of the original's style, form, or content. Idiomatic translation: It replicates the original's "message," but it often distorts subtleties of meaning by favoring colloquialisms and idioms where they are absent from the original.

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Question:-

Tamika knows that there are more aspects to projects besides the technical specifications. as a successful systems architect, she knows that she must also be able to translate the needs of the user into specific requirements for which group? Which of the following roles would most likely be concerned about search engine optimization?

Based on expected production of 6,000 units, a company reports the following costs: direct materials cost of $4 per unit, direct labor cost of $8 per unit, variable overhead cost of $3 per unit, fixed overhead of $60,000 per year, variable selling and administrative expenses of $2 per unit, and fixed selling and administrative expenses of $20,000 per year. There is no beginning inventory. If 4,000 units are sold at $40 per unit, what is net income under absorption costing

Answers

Answer:

Net operating income= $32,000

Explanation:

The absorption costing method includes all costs related to production, both fixed and variable. The unit product cost is calculated using direct material, direct labor, and total unitary manufacturing overhead.

First, we need to calculate the unitary fixed overhead and unitary total cost:

Unitary fixed overhead= 60,000 / 6,000= $10

Unit product cost= direct material + direct labor + total unitary overhead

Unit product cost= 4 + 8 + 3 + 10

Unit product cost= $25

Now, the net operating income:

Net operating income= Sales - COGS - Total variable selling and administrative expenses

Net operating income= 4,000*40 - 25*4,000 - (2*4,000 + 20,000)

Net operating income= 160,000 - 100,000 - 28,000

Net operating income= $32,000

When we characterize Apple as an innovative company, we are identifying its A dominant culture B counterculture C cultural artifacts and rituals D subculture

Answers

When we define Apple as an innovative company, we identify its Dominant culture. This is option A.

A dominant culture is a culture that has established its morals, values, and preferences as the standard for a whole group of people. Preferences and morals are executed anyhow of whether they discord with what's normal for other group members.

Apple's artistic traits concentrate on maintaining a high position of invention, which includes hand creativity and a mindset that challenges conventions and morals, for illustration in the area of electronic design.

In the association, the dominant culture sends dispatches to team members about what's important, valued, and awarded. Every association has its own dominant culture that gives its members boundaries and guidelines that shape their nature.

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Which of the following is an example of a barriers to entry that an entrepreneur could face? (1 point)
O the entrepreneur already owning another business
O obtaining proper licensing to start the business
O a possible economic downturn in the future
a past failed business by the entrepreneur

Answers

Option (d), which refers to a previous unsuccessful venture by the entrepreneur, is the best choice.

Why is entrepreneurship-related confidence important?

After a previous company attempt fails, the entrepreneur may lack confidence, which could be a barrier to admission.

Being self-assured is essential to entrepreneurship. It's what enables us to defy conventions and bravely face the uncharted. It provides us a sense of assurance and the capacity to act in a world that is continuously changing.

Why is success dependent on confidence?

A self-confident individual has a strong sense of self-worth, self-respect, and self-belief. You will be able to accomplish your goals, seize chances that present themselves, and have the strength to overcome any hurdles if you work on building your self-confidence.

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It's Friday moming, work has gradually built up over the course of the week and you have an important meeting at 09:30 am. You have a number of tasks on your desk to complete and you have 30 minutes in which to prioritize and complete each of the tasks List the number in the order that you will assume the following Telephone messages Corespondence Papers such as reports, statements, briefing documents, and plans A set of emals Planner or Calendar Interview Scenario Questions involving Prioritization (Formulate an answer to the folowing. Remember, Situation, Task, Action, Result) 3. If you're reporting to more than one manager, how do you prioritize your duties? 4. Have you ever missed a deadine? If so, what happened? If not, how do you make sure you're not talling behind?

Answers

Given that you have a number of tasks on your desk to complete with 30 minutes in which to prioritize and complete each of the tasks, here is the order to assume the following:

Planner or Calendar Telephone messages Correspondence Papers such as reports, statements, briefing documents, and plans

A set of emails

Answer to Scenario Question (Situation, Task, Action, Result):

Situation:

Reporting to more than one manager.

Task:

Prioritizing your duties.

Action:

To prioritize your duties, start by having a conversation with both managers to gain clarity on each of their priorities and expectations. Next, analyze the impact of each task on the business. Finally, create a schedule that accommodates each manager's priorities and stick to the schedule.

Result:

With clear communication and an understanding of the business impact, prioritizing your duties can become an easier task without compromising on the needs of both managers.

Answer to Scenario Question (Situation, Task, Action, Result):

Situation: Missing a deadline.

Task:

To avoid missing deadlines, create a to-do list and a schedule for completing each task. Additionally, break each task into smaller, manageable parts to avoid getting overwhelmed.

Action:

Create a to-do list and a schedule for completing each task. Break each task into smaller, manageable parts to avoid getting overwhelmed. Work on the most important tasks first, and delegate if necessary. Communicate any challenges or roadblocks to your manager and renegotiate deadlines if necessary.

Result:

By planning ahead, breaking tasks into smaller parts, prioritizing tasks, and communicating any challenges or roadblocks to your manager, it is possible to avoid missing deadlines.

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As a(n) , it‘s up to you to make choices about what you buy and use.

Answers

As a consumer, it‘s up to you to make choices about what you buy and use.

What are consumers?

Generally, A consumer is a person or group that uses a product or service. In economic terms, a consumer is someone who buys goods and services for personal use.

Consumer demand drives the economy, as businesses aim to produce and sell products that consumers want to buy.

Consumers also play a role in shaping the market by making purchasing decisions based on factors such as price, quality, and brand.

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CQ

As a(n)_____ , it‘s up to you to make choices about what you buy and use.

Other Questions
I need help with number 1 you can do the others ones if you like Read these personal ads and then indicate whether the statements correspond to Eugenio, Amanda, los dos (both), or ninguno (neither). Hola, me llamo Eugenio. Soy de Venezuela y busco amigos y amigas de otros (other) pases. No soy muy alto, pero soy guapo y muy simptico. Soy ingeniero y los fines de semana me gusta mucho cantar. Mi hermana, su novio y yo tenemos un grupo musical que se llama Futuro Perfecto. Ahora no tengo novia. Qu tal? Me llamo Amanda, soy puertorriquea y tengo veintitrs aos. Soy alta, delgada y simptica. Mi novio ideal es rubio, inteligente y muy trabajador. Mi padre es artista y yo trabajo con l. Tengo dos hermanos y los tres lo compartimos todo y hacemos muchas cosas juntos (together). La familia es muy importante para m, por eso deseo tener dos o tres hijos con mi futuro esposo. changed Est casado/a. changed Tiene una hermana. changed Desea tener hijos. changed Es alto/a. changed Es simptico/a. Georgina likes to read during her summer break. The table below shows the number of pages in each book she read last summer and the number of pages in each book she read this summer.Number of Pages Georgina Reads during the SummerLast Summer140220190180190This Summer150170150190180What inference can someone draw about the data?The books she read this summer had more pages, on average, than last summer.The number of pages in each book varied more last summer than this summer.Last summer, the average book had nearly twice the number of pages than the average book has this summer.This summer, the number of pages in a book varied nearly twice as much as the number of pages in last summer's books Suppose we know that 65% of the students in N.JIT have a dog, and 24% have a cat. Given that 55% of those that have a cat also have a dog, what percent of those that have a dog also have a cat? (10 Points) Angles E and F are adjacent. If the measure of E is 28.3 and together they measure 43, what is the measure of F? what are typical minority group responses deviance defiance Have you read a book called "The Outsiders" by S.E. Hinton so whats a theme? in an urban environment, you are most likely to___ Adam is carrying a box full of textbooks for his teacher. It contains math books, which weigh 3 pounds each, and history books, which weigh 2 pounds each. There are 30 books in the box. The total weight, not counting the box itself, is 77 pounds. How many math books are there? 16. p(ski | does not snowboard) a. 3/17 b.7/17 c.3/7 d. 3/13 - this is the part i need help with Find the domain of the function f(x) = n(x-1) + 3 a. (-[infinity], [infinity]) b. (3, [infinity]) C. (-[infinity], 1) d. (1, [infinity]) e. (1, 3) Which statement correctly describes a difference between the Roman and Gregorian calendars? For diatomic gas Cv = 5R/2 therefore for this gas what is the game? help i will give 20 thax Given the first order differential equation dy_2y + t dt 2yt = -, find the general solution for y by 1.1 using the substitution y = vt. (8) 1.2 rewriting the equation as a Bernouli equation and solving as a Bernoulli equation. (8) [16] QUESTION 2 Find the general solution for the following differential equation using the method of undetermined coefficients dy_36y=cosh3x. (10) dx [10] QUESTION 3 Find the general solutions of the following differential equations using D-operator methods: 3.1 (D-5D+6)y=e-x + sin 2x (8) 3.2 (D +2D+4) y = ex sin 2x (8) 2. (05.01 LC)Match each sentence with the correct preposition to complete it. (4 points)1. Tu madrina y yo viajamos _______ avin.2. Mam, ______ m, es mejorllamar a la agencia por las tardes.3. Buscaron una agencia de viajes ______ planificar su viaje a Guatemala.4. Las primas iban a Venezuela _______ una semana.A. Para: opinion B. Para: purpose or goalC. Por: transportation D. Por: duration Suppose someone in a peer review group says this about a story's main character: "He reminds me of my favorite cousin because he's always saying things that make other people laugh." Which of these responses builds on the comment in a way that would help the writer?A. Making other people laugh is not something that makes a character likable.B. I don't have a cousin like that. All of my cousins are much older than me, and boring.C. What does your cousin have to do with this story about two kids in Mexico?D. He is a very likable character, especially when he takes time to cheer up his little sister. Which form or system of government gives the most power to the people of the nation? Unitary Autocracy Democracy Oligarchy the point (-1,0.5) lies on the graph of f^-1(x)=2^x based on this information, which point lies on the graph of f(x)=log2x For the soldiers to be well trained and paid for their efforts, Congress established the..A.Continental CongressB.Continental ArmyC.American Navy