6. show that the problem of determining the satisfiability of propositional formulas in disjunctive normal form is polynomial time solvable.

Answers

Answer 1

The problem of determining the satisfiability of propositional formulas in Disjunctive Normal Form is polynomial time solvable, can be shown using the distributive law and the fact that each disjunct contains only a small subset of the variables.

To show that the problem is polynomial time solvable, we can use the fact that every propositional formula can be converted into an equivalent formula in DNF using the distributive law.

This conversion can be done in polynomial time using standard algorithms, such as the Quine-McCluskey algorithm or the Tseitin transformation.

Once we have the formula in DNF, we can check its satisfiability by simply checking if any of the disjuncts (i.e., clauses) are satisfiable. To check if a disjunct is satisfiable, we can use a truth table, which takes exponential time in the number of variables.

However, since the formula is in DNF, each disjunct contains only a small subset of the variables, and we only need to evaluate the disjunct for the possible truth assignments to its variables. Therefore, the overall time complexity of checking the satisfiability of the DNF formula is polynomial.

In conclusion, the problem of determining the satisfiability of propositional formulas in DNF is polynomial time solvable, thanks to the distributive law and the fact that each disjunct contains only a small subset of the variables.

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Related Questions

A bond is actually a(n) _____. (Select all that apply.)


investment

short-term instrument

type of security

debt instrument

Answers

Investment but I’m not sure

According to the video, which qualities do Lawyers need? Select all that apply.

x mechanical skills
x aggressiveness
intelligence
x physical fitness
determination
moral and ethical integrity
people skills

According to the video, which qualities do Lawyers need? Select all that apply.x mechanical skillsx aggressivenessintelligencex

Answers

Answer:

C E F G

Explanation:

According to the video, The qualities Lawyers need, The first is intelligence, the second one was determination, moral and ethical integrity people skills.

What are skills?

A skill is the acquired capacity to move with deliberate intent and good execution, frequently in a pre-determined window of time or energy or both. Domain-general and domain-specific skills are two common categories of skills.

As, The qualities the lawyer needs in the Curveballs will probably be thrown throughout a case session, and they must be able to understand them and react accordingly.

As, The important quality, the lawyer needs is zeal for one's work. Successful attorneys nearly usually have a genuine enthusiasm for what they do as a profession.

Therefore, The right option (C, E, F, G)) is correct.

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Which of the following communication network is when all communication flows through one person who is most likely the group leader?
a. Circle
b. Wheel
c. Chain
d. All-channel

Answers

The communication network where all communication flows through one person who is most likely the group leader is the "Chain" communication network.

In a chain communication network, information flows linearly from one person to the next in a sequential manner. The group leader or a designated individual acts as a central point through which all communication passes. This person holds the most influence and control over the communication within the group. The chain network is characterized by a hierarchical structure, where information is relayed from the leader to each group member and may or may not flow back up the chain. In contrast, the other communication network options mentioned are as follows:

a. Circle: In a circle communication network, communication flows among all members of the group in a circular pattern. Each member has an equal opportunity to communicate with others in the group, and information can be shared freely between members.

b. Wheel: In a wheel communication network, one person acts as the central hub or focal point, similar to the chain network. However, unlike the chain network, the hub in a wheel network may not necessarily be the group leader. All communication channels pass through this central person, who disseminates or gathers information from others.

d. All-channel: In an all-channel communication network, communication occurs freely among all members of the group, without any specific designated leader or central authority. Each member can communicate with any other member directly, promoting open and unrestricted communication within the group.

Therefore, the correct answer is c. Chain.

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researchers for a company that manufactures batteries want to test the hypothesis that the mean battery life of their new battery is greater than the known mean battery life of their older version. the researchers selected random samples of 32 of the new batteries, subjected the batteries to continuous use, and determined the mean and standard deviation of the battery lives in the sample.

Answers

A population mean is tested using a one-sample t-test.

Because there is no indication that the batteries in the sample are being matched to batteries from the previous version, a matched-pairs t-test is ineffective. One-sample t-test for population mean is the correct answer.

The object recognition test (ORT) is a common behavioral assay used in mice to investigate various aspects of learning and memory. The ORT is relatively simple and can be completed in three days: habituation, training, and testing. A statistical hypothesis is a statement whose validity is tested on the basis of a sample in hypothesis testing. Its validity is evaluated in relation to a sample. The homogeneity of variances is an important assumption for performing the independent-samples t-test. This implies that the variances of both groups should be roughly equal. Because of their anatomical, physiological, and genetic similarities to humans, mice and rats have long been the preferred species for biomedical research animal models. Rodents have several advantages, including their small size, ease of maintenance, short life cycle, and abundant genetic resources.

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Review the data and calculate the probability that if Cass runs into one of the financial institution’s customers at random, that person has applied for a home mortgage this year.

Review the data and calculate the probability that if Cass runs into one of the financial institutions

Answers

The probability that if Cass runs into one of the financial institution’s customers at random, that person has applied for a home mortgage this year, is 9.45%.

What is the probability?

Probability refers to the chance or odds of an expected event occurring amid many possible outcomes.

Probability is a fractional value, showing the ratio of an outcome to many possibilities.

In most cases, probability lies between one and zero.  They can also be one (100% certain) or zero (100 uncertain).

The total number of customers = 27,300

The number of customers who applied for Home Mortgage = 2,580

The probability of random meeting a person who applied for home mortgage = 0.0945 (2,580/27,300)

= 9.45%

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kel starts a new blog and wants to create business cards with his name, blog logo, email, and website address. he goes to staples to order the business cards. the manufacturing process most likely to be used is____

Answers

Kel starts a new blog and wants to create business cards with his name, blog logo, email, and website address. he goes to staples to order the business cards. the manufacturing process most likely to be used is Digital printing.

What is digital printing?

Digital printing is a  printing method that uses digital files to print directly onto a different type of materials. This process is ideal for low to medium quantities, such as Kel's business cards, as it offers fast turnaround times, affordable prices, and high-quality prints.

Digital printing technology is versatile and can print a range of colors and designs, making it ideal for reproducing Kel's blog logo and other design elements accurately. It is also more cost-effective than traditional offset printing, which requires creating printing plates and is typically only cost-effective for large print runs.

Therefore, Staples would most likely use digital printing to manufacture Kel's business cards.

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As Kel needs to create business cards with his name, blog logo, email, and website address, this make him decides to order the business cards. In this case, the manufacturing process which will most likely to be used for his business card is digital printing.

What is digital printing as an important manufacturing process?

Digital printing is a modern manufacturing process that involves the reproduction of digital images or designs onto a variety of substrates, such as paper, plastic, fabric, or even metal. Unlike the traditional printing methods, such as offset printing, digital printing does not require the creation of physical plates or screens.

Instead, digital files containing the image or design are sent directly to the printer, which uses a combination of inkjet, laser, or toner technology to apply the image onto the substrate. This process allows for greater flexibility, speed, and precision in the production of high-quality prints, as well as the ability to create personalized or customized products on-demand.

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Which of the following is an example of an action that is part of making a
rational choice?
A. Doing a cost-benefit analysis.
B. Calculating flexible and fixed expenses.
C. Expanding your discretionary spending.
D. Adding up your assets.

Answers

Answer: B Im pretty sure

Step by step explanation:

The meaning of rational is doing someone with reason or logic so B seems like the rational answer..

Answer:

A. Doing a cost-benefit analysis.

Explanation:

i took the test

Question #3
Multiple Select
The main types of markets are called
consumer
O industrial
customer
Oresidential
Question #4
Multiple Choice

Answers

The two most important types of marketplaces are consumer and business markets. There are also institutional markets, government markets, and global markets.

What other kind of markets are there?

In a market where buyers and sellers may meet, there can be an exchange of commodities and services. Markets include both actual physical markets and digital ones, such those found online. There are additional examples, such as the stock market, gray market, and auction market.

Although it can be complicated, marketing is primarily driven by four variables: product, price, promotion, and place. These are the fundamental concepts around which everything else is built, and they apply regardless of how tactics and distribution methods evolve. The seven P's or another form of these core concepts are sometimes included.

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Sunland Company owns equipment that cost $73,000 when purchased on January 1, 2019. It has been depreciated using the straight-line method based on an estimated salvage value of $13,000 and an estimated useful life of 5 years. Prepare Sunland Company's journal entries to record the sale of the equipment in these four independent situations. (a) Sold for $39,000 on January 1, 2022. (b) Sold for $39,000 on May 1, 2022. (c) Sold for $22,000 on January 1, 2022. (d) Sold for $22,000 on October 1, 2022.

Answers

Answer and Explanation:

The journal entries are shown below;

(a)

Cash $39,000  

Accumulated Depreciation $36,000  [($73,000 - $13,000) × 3 ÷ 5]

       To Equipment  $73,000  

      To Gain on Sale of Equipment  $2,000  

(being the sale of equipment is recorded)    

(b)

Depreciation $4,000  [($73,000 - $13,000) ÷ 5 × 4 ÷12]

        To Accumulated Depreciation  $4,000  

(being depreciation expense is recorded)    

Cash $39,000  

Accumulated Depreciation $40,000  ($36,000 + $4,000)

          To Equipment  $73,000  

          To Gain on Sale of Equipment  $6,000  

(being the sale of equipment is recorded)      

(c)

Cash $22,000  

Accumulated Depreciation $36,000  

Loss on Sale of Equipment $15,000  

         To Equipment  $73,000  

(being the sale of equipment is recorded)    

(d)

Depreciation $9,000  [($73,000 - $13,000) ÷ 5 × 9 ÷ 12]

        To Accumulated Depreciation  $9,000  

(Being depreciation expense is recorded)    

Cash $22,000  

Accumulated Depreciation $45,000  ($36,000 + $9,000)

Loss on Sale of Equipment $6,000  

             To Equipment  $73,000  

(being sale of equipment is recorded)  

What is one benefit to working collaboratively on a team?.

Answers

Answer:

Each person gets to contribute in their own way.



Nick spent $25 for a meal at a local restaurant. Which sectors are affected with this transaction.

Answers

Answer: Chipotle Mexican Grill Inc. agreed to pay a $25 million criminal fine, the largest ever in a food safety case, to resolve criminal charges

Explanation:

Need Help

Ted is a single guy who’s living the good life. The spreadsheet below shows Ted’s cash flow for a month.

Based on his monthly cash flow, explain what part of Ted’s financial plan might be missing and why.

Need Help Ted is a single guy whos living the good life. The spreadsheet below shows Teds cash flow for

Answers

Answer:

Ted's net cash flow is zero. Therefore, he might want to work on managing his income to get a positive net cash flow. There is no indication that Ted is putting any money in savings.

Hope it helps!

Choose a process within your organization and construct a Baseline Time-Function Map

Answers

Let's consider the process of customer order fulfillment for an e-commerce company.

What is Baseline Time-Function Map?

A Baseline Time-Function Map visually represents the various steps or functions involved in a process and their corresponding time durations.

Receiving Order:

Time Function: Order Receipt

Time Duration: Instantaneous (Assuming orders are received electronically)

Order Verification:

Time Function: Order Verification and Validation

Time Duration: 5 minutes

Inventory Check:

Time Function: Inventory Availability Check

Time Duration: 2 minutes

Order Processing:

Time Function: Pick, Pack, and Label

Time Duration: 10 minutes

Shipping and Logistics:

Time Function: Handover to Shipping Partner

Time Duration: 5 minutes

Delivery:

Time Function: Shipping and Delivery

Time Duration: Variable (Depends on the chosen shipping method and destination)

Customer Confirmation:

Time Function: Order Confirmation

Time Duration: Instantaneous (Assuming automated confirmation)

Baseline Time-Function Map helps identify bottlenecks, areas for improvement, and potential sources of delays in the process flow. Actual time durations may be shorter or longer based on the organization's efficiency, resources, and any specific factors influencing the process.

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Assume a simple model with only two countries: Japan and Canada, and two goods: cars and bacon. Suppose that the opportunity cost for Japan to produce 1 car is 2 units of bacon and the opportunity cost for Canada to produce 1 car is 4.5 units of bacon. Which of the following statements is true?

Answers

Japan would be economically better off if it produced cars and traded with Canada for bacon.

Trading is the buying and selling of securities such as stocks, bonds, currencies and commodities, as opposed to investments that imply a buy and hold strategy.

Investing takes a long-term approach to the market and is often associated with objectives such as retirement accounts. Trading includes short-term strategies to maximize earnings on a daily, monthly or quarterly basis.

Stock trading means buying and selling shares of a company in an attempt to profit from price changes. Traders are closely watching short-term price changes in these stocks. They buy low and sell high.

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Which industry is Amazon involved in ?​

Answers

Answer:

Cloud computing e-commerce artificial intelligence consumer electronics digital distribution self-driving cars

Explanation:

Answer:

Cloud computing e-commerce

Explanation:

it is used for artificial intelligence or the use of robots

in our example of contringency table, what is the probability of credit is excellent given liability is hihg?

Answers

The probability of credit is excellent given liability is high is 0.75 or 75%. This means that if an individual has a high liability, there is a 75% chance that their credit rating will be excellent.

To determine the probability of credit is excellent given liability is high, we need to refer to the contingency table and calculate the conditional probability.

Let's assume the contingency table shows the following:

          | Liability High | Liability Low |

---------------|----------------|---------------|

Credit Excellent 60 40

Credit Poor 20 80

The probability of credit is excellent given liability is high and can be calculated using the formula:

P(Credit Excellent | Liability High) = P(Credit Excellent and Liability High) / P(Liability High)

In this case, the probability of Credit Excellent and Liability High is 60, and the probability of Liability High is 80.

Therefore, the probability of credit being an excellent given liability is high is:

P(Credit Excellent | Liability High) = 60 / 80

= 0.75

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What role do sources play in validating an argument? Are we able to rely on the internet to provide complete and truthful information? Of course not, but how do we discern? How do we determine the motives of the people we're reading? One thing we have learned is that the people screaming most loudly about dishonesty are the ones being most dishonest. That isn't by accident. So, what do you do? And how does that apply to this week's content?

Answers

Incomplete question. However, I answered from a general research perspective.

Explanation:

What role do sources play in validating an argument?

Well, the term source basically refers to the originator of any information. We have sources that are considered credible sources (like Encyclopedia, Journal Magazine, Newspaper, etc) and others that are considered incredible sources (general social media post). Knowing the kind of source could thus help validate an argument.

Relying on the internet to provide complete and truthful information is difficult considering the amount of fake news available today.

Determine whether the examples below represent non-rival or non-excludable products: A. Non-Excludable Product B. Both C. Non-Rival Product 1. fishing in public lake 2. phone app 3. flood control

Answers

The examples can be categorized as follows: A. Non-Excludable Product B. Both C. Non-Rival Product. Fishing in a public lake represents a non-excludable product, while a phone app can be considered both non-excludable and non-rival. Flood control is an example of a non-rival product. Understanding whether a product is non-rival or non-excludable is essential in analyzing public goods and their characteristics.

A non-excludable product is one that individuals cannot be effectively prevented from using, even if they do not contribute to its production or maintenance. Fishing in a public lake falls under this category because it is challenging to exclude individuals from accessing and utilizing the lake for fishing purposes. Once the lake is accessible to the public, anyone can fish in it without being excluded based on their participation or contribution.

A non-rival product, on the other hand, is one whose consumption by one individual does not diminish its availability or use by others. A phone app can be considered both non-excludable and non-rival. It is non-excludable because once the app is downloaded or made available, it can be accessed and used by multiple individuals without exclusion. It is also non-rival because one person's use of the app does not diminish or prevent others from using it simultaneously.

Lastly, flood control is an example of a non-rival product. The implementation of flood control measures, such as building dams or constructing levees, benefits an entire community or region collectively. Once these measures are in place, multiple individuals can enjoy the protection from floods simultaneously, without one person's use diminishing the ability of others to benefit from flood control.

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Hey yall can yall cheer me up for a seek i miss my mommy in she said we was leaving my granny house today in look im still here

Answers

Answer:

Stay Strong!

Explanation:

You got ittt! Cry A Bit , then come back harder! LOVE KEN!!!

tom is in charge of a Habitat for Humanity build site where volunteers arrive daily, excited to volunteer, but with very little knowledge of how to do the work or what needs to be completed. Based on the Situational Leadership Model II®, which leader style would be best for Tom to use?

Answers

The Situational Leadership Model II® is a leadership theory that suggests that the most effective leadership style depends on the situation at hand. In this case, Tom is in charge of a Habitat for Humanity build site where volunteers arrive daily, excited to volunteer, but with very little knowledge of how to do the work or what needs to be completed.

According to the Situational Leadership Model II®, there are four leadership styles: directing, coaching, supporting, and delegating. Each style is appropriate for a different level of follower readiness, which refers to the competence and commitment of the followers.In this situation, the volunteers have very little knowledge of how to do the work or what needs to be completed, indicating a low level of follower readiness. Therefore, the best leadership style for Tom to use would be the directing style.
The directing style involves giving specific instructions and closely supervising the work of the followers. This style is appropriate for followers who have low competence and low commitment, as it provides clear guidance and structure.
To use the directing style effectively, Tom should:
1. Clearly communicate the goals and expectations for the build site.
2. Provide detailed instructions for each task and demonstrate how to do them.
3. Closely supervise the work of the volunteers and provide feedback on their performance.
4. Provide positive reinforcement for good performance and corrective feedback for poor performance.

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what is a dollar vote

Answers

Answer:

Dollar voting is an analogy that refers to the theoretical impact of consumer choice on producers' actions by means of the flow of consumer payments to producers for their goods and services.

Part of the growth strategy for Yum! Brands, the parent company of KFC, Pizza Hut, and Taco Bell, is expansion of its current fast-food businesses into untapped international markets, such as China, Russia, and India. This type of expansion would be a ________ strategy.

Answers

Part of the growth strategy for Yum! Brands, the parent company of KFC, Pizza Hut, and Taco Bell, is expansion of its current fast-food businesses into untapped international markets, such as China, Russia, and India.

This type of expansion would be a market development strategy. The process of developing a new market for an existing product or service is known as market development. This approach is ideal for businesses seeking to increase revenue by identifying and marketing new uses or customer groups for their current goods. In this case, Yum! Brands, the parent company of KFC, Pizza Hut, and Taco Bell, seeks to develop new markets in untapped areas like China, Russia, and India for its current fast-food business, which is an excellent example of a market development strategy. To put it in simpler terms, the company has identified an untapped market (China, Russia, and India) and seeks to use its current fast-food business to exploit this new market. This is an effective strategy for businesses that wish to expand into new markets while lowering the risks associated with developing new products and services altogether.

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Which of the following list of factors of production would be considered land?

O Factories, assembly lines, buildings

O Farms, tractors, pesticides

O Iron ore, natural gas, water

O Dams, bridges, oil wells

Answers

Most likely answer is option 1

1. Juan is enrolled in marketing education courses and is 17 years old. Juan has been hired by an electrical contractor. Juan is hoping to use this job as a cooperative work site placement. You are told that Juan’s job is to pull electrical components out of inventory and drive them to the job site.

Answers

Answer:

What is the wholesaling industry?

Explanation:

Juan is enrolled in marketing education courses and is 17 years old. Juan has been hired by an electrical contractor. Juan is hoping to use this job as a cooperative work site placement. You are told that Juan’s job is to pull electrical components out of inventory and drive them to the job site.

Your answer

Which of these is a major advantage of a market economy?

Answers

Answer:

The advantages of a market economy include increased efficiency, productivity, and innovation. In a truly free market, all resources are owned by individuals, and the decisions about how to allocate such resources are made by those individuals rather than governing bodies.

A major advantage of a market economy is there is a high degree of individual freedom.

A market economy is an economic system in which supply and demand dictate the creation of goods and services.

Market economies are not governed by a centralized authority (such as a government), but rather rely on free commerce.

The market incentivizes producers to develop items that customers desire. The market incentivizes the acquisition of useful talents.

Therefore, a significant advantage of a market economy is the great degree of individual freedom.

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How does a command economy differ from a mixed market economy? 1. In a command economy, citizens have fewer property rights. In a mixed market economy, citizens have more property rights. 2. In a command economy, citizens have more property rights. In a mixed market economy, citizens have fewer property rights. 3. In a command economy, citizens own all public property. In a mixed market economy, the government owns all private property. 4. In a command economy, citizens own all private property. In a mixed market economy, the government owns all public property

Answers

Answer: In a command economy, citizens have fewer property rights. In a mixed market economy, citizens have more property rights. A command economy is one in which the government has almost complete control of property, businesses, and the economy in general.

Explanation:

With what skills do you struggle the most? List two. For each one, explain a situation in which there was a negative outcome because you lacked these skills.

:) I will give the branliest!

Answers

Public speaking- The negative outcome was that I couldn’t do it in proficiently and a formal way.

Critical thinking- sometimes I make bad decisions, without a doubt.

Those are some examples

Brainly pls

in operating a business, rent, salaries, supplies, utilities and insurance are all examples of .

Answers

in working a commercial enterprise, lease, salaries, supplies, utilities and coverage are all examples of Operating costs.

The required details for Operating costs in given paragraph

An working price is an price a commercial enterprise incurs via its regular commercial enterprise operations. Often abbreviated as OPEX, working costs encompass lease, equipment, stock fees, marketing, payroll, coverage, step fees, and finances allotted for studies and development. An working price, working expenditure, operational price, operational expenditure or opex is an ongoing price for walking a product, commercial enterprise, or system . Its counterpart, a capital expenditure (capex), is the price of growing or supplying non-consumable components for the product or system. For example, the acquisition of a photocopier entails capex, and the yearly paper, toner, energy and preservation fees represents opex.

For large structures like businesses, opex may additionally encompass the price of people and facility costs consisting of lease and utilities.

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What do you think is the message or theme of the story?

Answers

To investigate topics in the Texts of the story,  Take into account the plot, Have a look at the characters. Locate ordinary symbols or pictures. perceive any thoughts which can be explored inside the textual content. determine the primary message in the text.

Four approaches to analyzing the theme are to look for routine snapshots, Ask questions (and take notice of them), and identify the specific gear the author uses to explicit the theme. keep a pocketbook of notes whilst studying, and then examine all once finished studying. A theme is a crucial idea this is woven at some point in a tale. it's no longer the plot or the precis,

But something a bit deeper. it links a massive concept about our international with the movement of textual content. become aware of A theme in literature is a vital, unifying concept. it is the larger problem that emerges as the characters pursue their goals. It has much less to do with whether they'll win the race, get the date, or locate the treasure, and extra to do with the deeper questions about identification, philosophy, or morality that arise at some point in their tries.

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Suppose Ningbo Steel had sales revenue of $10,000 sales revenue, cost of goods sold of $5,000, operating expenses of $3000, interest expense of $1,000, a tax rate of 20%, and 2,000 shares of common stock outstanding. Based on this information, earnings per share was:
Select one:
a. $1.20
b. $1.00
c. $0.80
d. $0.40

Answers

The earnings per share was $0.40

First calculate the pretax income for the period:

= Revenue - Cost of goods sold - Operating expenses - interest expenses

= 10,000 - 5,000 - 3,000 - 1,000

= $1,000

Then find the post tax income:

= Pretax income x (1 - tax rate)

= 1,000 x ( 1 - 20%)

= $800

The earnings per share is:

= Post tax income / Number of shares

= 800 / 2,000

= $0.40

The earnings per share is $0.40 per share.

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In another laboratory a short haired guinea pig is crossed with a long haired one and not a single offspring has long hair. Show the cross that explains the situation Which compound(s) exhibit hydrogen bonding forces?(Select all that apply.)a. HFb. XeF4c. SO2d. CH4e. BrF3f. NH3 HELP PLS!!!Compare what Bronson and West have to say about the conditions in the mills with what The Harbinger piece has to say. Does it match up with their contention that mill-work is as bad as slavery in the South? form utility is created by making a product available at a location where customers wish to purchase it. compare each of the skeletal structures with the molecule below. classify each as a constitutional isomer, an identical molecule, or not an isomer. Identical molecule, Not an isomer, Constitutional isomer. Use the Laplace transform to solve the given initial-value problem. y'' 3y' = 4e2t 2et, y(0) = 1, y'(0) = 1 y(t) = Twelve less than half a number is six which of the following is not a mycenaean adoption taken from the Minoans ? 1. Minoan Legends 2.Chariots 3.Sea trade 4. Alphabet m=3000km v=25m/s whats the momentum a firm that has first-mover advantages with its products is able to multiple choice preempt rivals and capture demand. follow the experience curve behind rivals and avoid pitfalls. build product stockpiles. expand quickly within a certain region. What are the two methods of recording accounts receivabletransactions when a cash discount situation is involved? Which ismore theoretically correct? Which is used in practice more of thetime? Why? what technique did the sumerians use to create cylinder seals that ensured the identification of documents and established property ownership? identify an accurate statement about fee-for-service (ffs) plans. 1. Adnde vas para comprar libros? Can someone please help me with case study, it is on pdf and its very long pat deposits $600 in a saving account at a simple interest rate of 6% per year for 5 years. How much money will pat have earned in interest at the end of 5 years in the context of cash flow statements and budgets, for a new entrepreneurial firm, what is a benefit of separating cash inflows on a cash flow statement into as many categories as possible? The store is 78 of a mile away from your house. You walked 15 of a mile towards the store before getting on the bus. If the bus went directly to the store, how many miles long was the bus ride? What is the answer of question 17 in lesson 2.1 translations 51. A patient with acute asthma showing inspiratory and expiratory wheezes and a decreased forced expiratory volume should be treated immediately with which class of medication? A. Beta-adrenergic blockers B. Bronchodilators C. Inhaled steroids D. Oral steroids