The volume of a pyramid that fits exactly inside a cube is 10 cubic feet. What is the volume of the cube?

Answers

Answer 1

The volume of the cube is approximately (∛30)^3 cubic units.

To find the volume of the cube, we need to determine the length of one side since all sides of a cube are equal.

Let's assume that the length of one side of the cube is represented by "s".

Since a pyramid that fits exactly inside the cube has a volume of 10 cubic feet, we can set up the equation:

(1/3) * base area * height = 10

The base area of the pyramid is equal to the area of one face of the cube, which is s^2. The height of the pyramid is also equal to the side length of the cube, which is s.

Substituting these values into the equation, we get:

(1/3) * s^2 * s = 10

Simplifying further:

s^3/3 = 10

Multiplying both sides by 3:

s^3 = 30

Taking the cube root of both sides:

s = ∛30

Therefore, the length of one side of the cube is approximately ∛30.

To find the volume of the cube, we cube the length of one side:

Volume = (s)^3 = (∛30)^3

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Related Questions

When Treasury bills are auctioned off, if buyers are willing to pay $900 for a $1,000 treasury bill, the government is being asked to pay what percent in interest, if the bills mature after a period of one year?

Answers

The government is paying 10% in interest.

What interest on Treasury bills?

The interest on Treasury bills compares the interest earned by the investor to the face value of the T-bill, in other words, it is determined as the interest(i.e. face value-purchase price) divided by the face value.

From an investor's perspective, I mean the person  buy purchasing the T-bill, his rate of return is the interest divided by the amount invested, which is the purchase price.

Interest=face value-purchase price

face value=$1,000

purchase price=$900

interest=$1000-$900

interest=$100

government's interest rate=interest/face value

government's interest rate=$100/$1000

government's interest rate=10%

In other words, the government by a way of issuing the bills is paying interest of 10% to the lenders

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Any part of an organization whose manager has control over and is accountable for cost, profit, or investments is a(n)

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A responsibility center is any part of the firm whose manager  has control over and is accountable for cost, profit or investment decisions of the part of the firm under his control.

What are the different types of responsibility center?

There are three types of responsibility center as listed below:

-Profit center

-Cost center

-Investment center

A  cost center's manager is accountable for the profits of the division without been held responsible for its revenue and profits.

A profit center's manager would be accountable for revenue or sales and profit of the center as well as costs, in other words, the manager is expected to make decisions that minimize costs while also maximizing revenues and profits thereon.

Lastly, an investment center's manager would be able to take decisions bordering on costs reduction, revenue and profit maximization including whether or not to invest in new equipment or assets.

Overall, all of the aforementioned are known as responsibility centers, hence, the correct option is responsibility centers.

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Goal-setting theory is one of the most influential management practices. there is strong evidence that setting goals:______.

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Goal-setting theory is one of the most influential management practices. there is strong evidence that setting goals increase employee engagement within the workplace.

In accordance with goal-setting theory, productivity can be increased by defining explicit, quantifiable goals. One may boost employee engagement while also enhancing employee performance in the workplace by implementing the goal-setting principle.

Goals should be sufficiently difficult to maintain employees' interest and concentration while carrying out the necessary tasks to accomplish each goal. Achieving goals that are overly time-consuming or simple may demotivate you and leave you feeling less satisfied with your accomplishments.

A key element of the goal-setting theory is feedback. To make sure tasks continue on track to accomplish the objective, frequent feedback should be given throughout the goal-achieving process.

Goals ought to be divided into smaller ones. A review and updating should be carried out once each smaller goal has been accomplished.

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how is planning done and why is it important​

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Answer:

Planning helps us decide how best to use our resources (people, time, money, information, equipment) so that they make the most significant contribution to achieving our goal. Planning lays the basis for us to assess and evaluate our achievements effectively.

Explanation:

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The salary of a vice president of an organization is an example of a(n)________ cost while the salary of an electrician hired to work on a construction project is an example of a(n) ________ cost

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The salary of a vice president of an organization is an example of an indirect cost while the salary of an electrician hired to work on a construction project is an example of a direct cost.

Direct costs are those business expenses which  can  be directly applied to producing a specific cost object, like a particular good or service. Cost objects are those items to which that expenses are assigned.

Different examples of direct costs include:

Direct labor

Manufacturing supplies

Direct materials

Indirect costs are those expenses which are applied to more than one business activity. Indirect cost are not like the direct cost, They cannot assign indirect expenses to specific cost objects rather they assign those expenses in total.

Examples of indirect costs include:

Rent

Other overhead costs

Utilities

Professional expenses

General office expenses

Employee salaries (e.g., administrative)

Direct costs are those expenses that directly go into producing goods or providing services, while indirect costs are those general business expenses that keep you operating.

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Municipal bonds are taxable for federal, state and local taxes. Group startsTrue or FalseTrue, unselectedFalse, unselected

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The Key Benefit of Municipal Bonds: Tax-Free Interest. Municipal Bonds are not liable to Tax.

Hence the correct answer is  False.

On the plus side, highly rated municipal bonds are generally a very safe investment compared to most other assets. The failure rate is small. Like any bond, there is interest rate risk. If your money has been tied up for his 10 or 20 years and interest rates are rising, you're stuck underperforming.

Municipal bonds (munis) are bonds issued by government agencies. When you buy a municipal bond, you are lending money to the issuer for a certain period of time and paying a certain number of interest payments.

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Edie's Health Supply has 125,000 shares of stock outstanding with a par value of $1 per share and a market value of $5 a share. The company has retained earnings of $76,500 and capital in excess of par of $340,000. The company just announced a 1-for-5 reverse stock split. What will be the par value per share after the split

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The Par value per share after the split will be 2,500 shares.

What is a Share?Shares are fractional ownership interests in a corporation. For some businesses, shares are a type of financial instrument that allows for the equitable distribution of any declared residual profits in the form of dividends. A stock with no dividend payments does not distribute its income to its shareholders. Instead, they look forward to further stock price growth as business profits rise. Shares are an organization's equity capital, and there are two primary kinds of shares: common shares and preferred shares. As a result, the terms "shares" and "stock" are frequently used synonymously. Owners of a corporation have the option of issuing preferred shares or common stock to investors.

A single common share's par value is determined by the charter of a corporation. It usually has nothing to do with the shares' actual worth. Actually, it's frequently lower. The par value is stated on each stock certificate that is issued for shares that are bought.

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When must the scope of appointment be obtained for an in-person or telephonic sales presentation?.

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If meeting was set up as an in person meeting then it would have to be obtained.

What is an in person meeting?

This is the term that is used to refer to a meeting that is set up by people themselves.

This type of meeting would have the people present in body instead of having a representative.

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Under a team-based new product development approach, company departments work closely together in cross-functional teams. Overlapping the steps in the product development process saves time and increases effectiveness.

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Under a team-based new product development approach, company departments work closely together in cross-functional groups, overlapping the steps in the product development process to save time and increase effectiveness.

What is team-based new product development?

Team-based new-product development is a method for creating new products in which departments from the same organization collaborate closely in cross-functional teams, spanning the stages of the product development process to reduce time and boost efficiency.

The steps in the product development process are overlapped to reduce time and boost performance when using a team-based new product development method between company departments. Because departments collaborate closely in cross-functional teams, the team-based approach to new product development speeds up the process and boosts effectiveness.

In order to overlap the processes in the product development process and reduce time spent on each step while increasing effectiveness, team-based new product development comprises several company departments working closely together. Developing a new product from scratch is known as new product development (NPD). Despite industry-specific variations, it can be roughly divided into seven stages: ideation, research, planning, prototype, sourcing, costing, and commercialization.

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The sales level that results in a project's net present value exactly equaling zero is called the _____ break-even.

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The sales level that results in a project's net income exactly equaling zero is called the accounting break-even.

What is Break Even In Accounting?

Break even point refers to the point or sales unit where total cost is equal to total revenue. That is, both total revenue and total cost at the point are even and there neither profit nor loss.

Break even point can be computed for accounting break even and the cash break even points. The difference between the two is that accounting break even point include depreciation in the fixed cost while the cash break even point deduct non cash expenses from the fixed cost.

The formula for the are as follows:

Accounting break even point = Fixed cost / (Unit price - Unit cost)

Cash break even point = (Fixed cost - Depreciation) / (Unit price - Unit cost)

The break-even analysis is a tool that provides the level of units or sales necessary to cover both variable and fixed costs.

Therefore, we can conclude that the correct option is B.

Your question is incomplete, but most probably your full question was:

The sales level that results in a project's net present value exactly equaling zero is called the _____ break-even.

a. leveraged

b. accounting

c. operational

d. cash

e. present value

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A free rider is Group of answer choices Someone who only purchases resold goods or only uses items they can get for free. Someone who consumes a public good but does not pay for it. Someone who resells items they have purchased. Someone who gives away items they have purchased.

Answers

A free rider is option(b) i.e, Someone who consumes a public good but does not pay for it.

What is meant by the free rider?

A free-rider problem is a form of market failure that happens when those who use resources, public commodities, or communal services underpay for them or do not pay for them at all. Free riders are an issue because they might still access or utilize the goods even though they aren't paying for them.

For instance, soliciting donations in a museum or garden. The donation sums would assist in paying for the garden/museum even if there would still be free riders.

Free riding hinders traditional free-market techniques of producing and consuming goods and services. Because individuals can still benefit from a shared resource even if they don't participate, free riders have no reason to do so.

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The main reason price ceilings are set is so that consumer prices

Answers

Answer:

The main reason for imposing price ceilings is to protect the interests of the consumers in situations in which they are not able to afford needed commodities.

Explanation:

A financial model that measures the current value of all cash inflows and outflows of a project using management's minimum desired rate of return is known as the _________ model.

Answers

When a company uses a financial model that looks at the current value of cash inflows and outflows using a desired rate of return, this is the Net Present Value.

What is the Net Present Value?

This is a method of checking the profitability of a project by checking just how much a project brings in over its costs.

The cash inflows and outflows are therefore compared at their present value which involves discounting at a minimum desired rate of return.

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Bill filed his 2021 tax return on March 15th, 2022. The statute of limitations for IRS assessment on Bill's 2021 tax return should end:

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Bill filed his 2021 tax return on March 15th, 2022. The statute of limitations for IRS assessment on Bill's 2021 tax return should end on April 15th, 2025

A tax return is a document filed with tax authorities that shows income, expenses, and other relevant financial information. Taxpayers calculate their tax liability, plan to pay their taxes, and request a refund of overpaid taxes when they file their taxes.

Taxpayers will get refunds at the end of the year if they withhold too much. If you are self-employed, you can get a tax refund if you exceed your estimated tax. You might think of this extra income as free money, but it's actually loaned to the IRS without charging interest. D.

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The federal law that establishes the right to collective bargaining and limits the interference of management in the right of employees to have a collective bargaining agent is the:

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The federal law that establishes the right to collective bargaining and limits the interference of management in the right of employees to have a collective bargaining agent is the National Labor Relations Act of 1935.

What is the National Labor Relations Act?

The National Labor Relations Act of 1935 is a key piece of American labor legislation that protects employees working in the private sector's ability to form unions, participate in collective bargaining, and conduct collective action like strikes. An important part of the law prohibited corporate unions.

By giving workers in private-sector companies the fundamental right to demand better working conditions and choice of representation without fear of punishment, the NLRA safeguards workplace democracy.

Employees have the right under the National Labor Relations Act (NLRA) to establish or join unions, take part in protected, organized actions to address or improve working conditions, or refrain from taking part in these activities.

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In what way does the strategic alliance between gm and lyft allow gm to hedge against uncertainty?.

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The strategic alliance between GM and Lyft allows GM to hedge against uncertainty by giving GM access to the market of the future, increasing its market innovation.

Through this strategic alliance, GM demonstrates innovation in its processes by investing in a car rental market, as there is an expectation that in the future there will be a drastic reduction in private cars.

What is a strategic alliance?

Corresponds to an agreement between two or more companies, where there is an independent partnership for sharing organizational resources, such as technology, market and knowledge.

Therefore, through the partnership with Lyft, GM is already entering an innovative and expanding market, developing its positioning strategy for the future.

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Financial statement users need to be aware of changes in inventory levels when using costing. (Enter only one word per blank.)

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The users of financial statements need to understand the change in the inventory level, this can be calculated by the users by comparing the current and last year's financial statement.

What is Inventory?

Inventory is the current asset held by the company which is sold to customers to earn profits. This inventory is also called Stock, the inventory is presented in the financial statements under the current assets head.

The inventory breakup is also given in the notes to the financial statements and users are able to view and analyze that also.

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A machine has a cost of $15,000, an estimated residual value of $3,000, and an estimated useful life of four years. The machine is being depreciated on a straight-line basis. At the end of the second year, what amount will be reported for accumulated depreciation?.

Answers

Answer:

We find the amount in accumulated depreciation by finding the depreciable value:

Asset Cost - Residual Value = Depreciable Value

$15,000 - $3,000 = $12,000

Now, let's divide this by 2 to find the amount in accumulated depreciation at the end of the second year:

$12,000 / 2 = $6,000

The Tires division of Car Company makes tires for use in its Assembly division. The Tires division incurs variable costs of $267 per set of tires and has the capacity to make 1,170,000 sets of tires per year. The market price for tires is $485 per set. The Tires division incurs total fixed costs of $6,170,000 per year. If the Tires division is operating at full capacity, what transfer price should be used on the transfers between the Tires and Assembly divisions

Answers

If the Tires division is operating at full capacity, the transfer price that should be used on the transfers between the Tires and Assembly divisions is $485 per set.

What is the acceptable transfer price for this case?

The acceptable transfer price for this case is $485 which represents the variable cost plus opportunity cost.

The above conclusion is based on the transfer price fundamental principle that it should be equal to the price charged to outside customers or purchased from outside vendors.

Thus, the transfer price should be $485 per set.

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After some preliminary research in 2000, unilever’s dove soap brand initiated its campaign for real beauty campaign. This tactic relates to women’s.

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After some preliminary research in 2000, Unilever's dove soap brand initiated its campaign for a real beauty campaign. This tactic relates to women’s self-concept.

For what is Unilever well-known?

A multinational manufacturer of consumer goods, Unilever sells items for food and beverages, personal care, and home maintenance. The industry that makes the most money is personal care and cosmetics, although the food and beverage industry is now expanding the fastest.

How Does Unilever Earn Money?

A consumer goods holding company with its headquarters in the UK is called Unilever PLC (UL). The business produces and sells a variety of food and beverage items, home care goods, personal care, and beauty items through its subsidiaries. More than 190 countries are home to Unilever's 400+ brands. Well-known brands including Dove, Vaseline, Lipton, Hellmann's, Ben & Jerry's, Seventh Generation, and Sunlight are among them.

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At the end of the previous year, a customer owed Days Company $400. On February 1 of the current year, the customer paid $600 total, which included the $400 owed plus $200 owed through February 1st. The journal entry on February 1 is

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The journal entry on February 1 for Days Company is as follows:

Journal Entry:

February 1:

Debit Cash $600

Credit Accounts Receivable $600

To record the receipt of payment on account.

Transaction Analysis:

February 1: Cash $600 Accounts Receivable $600

Thus, the journal entry on February 1 will increase Cash by $600 and reduce Accounts Receivable by $600.

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The time it takes to spend cash to provide goods and services to a customer until collection of cash from that customer is referred to as the company's:_____.

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The time it takes to spend cash to provide goods and services to a customer until the collection of cash from that customer is referred to as the company's Operating Cycle.

The operating cycle is the average time it takes a business to make its first cash outlay to produce goods, sell goods, and receive cash from customers in exchange for goods.

For example, if your company has a short operating cycle, that means you receive constant payments. The faster a company can generate money, the faster it can pay off outstanding debts or expand its business accordingly. The flow of the cache operating cycle is as follows. Obtain raw materials.

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Which concept suggests that decision makers are limited by their values and unconscious reflexes, skills, and habits?

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A concept suggesting that decision makers are limited by their values and unconscious reflexes, skills, and habits is called bounded rationality.

Bounded rationality is considered the idea that rationality is limited when individuals make decisions. Thus, under these limitations, such rational  decision makers are limited by their values and unconscious reflexes, skills, and habits and they will make a decision which is satisfactory rather than optimal.

For instance, an individual could be exhibiting rational behavior if she is retiring early rather than staying at the company and earning a paycheck if she feels the utility gained from retiring early exceeds that of the paycheck.

Hence, the answer was given and explained above.

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The current yield on a bond is equal to A. annual interest divided by the par value. B. the yield to maturity. C. the internal rate of return. D. annual interest payment divided by the current market price.

Answers

Answer:

The answer to your question is A. annual interest divided by the par value.

Explanation:

I hope this helps and have a good day!

The term relevant range as used in cost accounting means the range over which: Group of answer choices Costs may fluctuate. Relevant costs are incurred. Production may vary. Cost relationships are approximately linear.

Answers

Option D. The term relevant range is the range over which  Cost relationships are approximately linear.

What is relevant range?

This is the term that is used to refer to the assumption that the cost relationships are valid.

What this means is that the existing relationship between cost and any activity are linear, in a straight line.

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The theory of rational expectations indicates that households and businesses’ expectations change ________ and therefore ________ the effectiveness of monetary or fiscal policy.

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The theory of rational expectations indicates that households and businesses’ expectations change immediately and therefore preclude the effectiveness of monetary or fiscal policy.

What is the theory of rational expectations?

This is the term that is used in Economics to refer to the fact that the individuals and the people are known to base their decisions on their experiences, available information and their ability to make rational decisions.

This theory tells us that people do not just act. They have to consider these factors first in order to make the best choice that they need. Hence the The theory of rational expectations indicates that households and businesses’ expectations change immediately and therefore preclude the effectiveness of monetary or fiscal policy.

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Morningstar Investment Reports track thousands of ___ and issues reports on safety, financial performance, and other important information that investors can use.

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The firm MorningStar investment reports track thousands of Mutual funds, issue on monthly reports and issues reports on safety, financial performance, and other important information that investors can use.

What is MorningStar investment?

It is a financial institution that deals in offering of financial services to the clients.

Hence, the firm reports track thousands of Mutual funds and issue monthly reports, issue on monthly reports and issues reports on safety, financial performance, and other important information that investors can use.

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Cash equivalents would not include?:

Answers

Answer:

Investments in liquid securities, such as stocks, bonds, and derivatives, are not included in cash and equivalents.

Explanation:

Even though such things may be easily turned into cash typically with a three day settlement period, they are still excluded. The assets are listed as investments on the balance sheet.

In ____ databases, a set of transactions are collected over a period of time and then processed all together.

Answers

In batch processing databases, a set of transactions are collected over a period of time and then processed all together.

Batch processing is for those often-used programs that can be completed with minimal human interaction. A software that reads a huge file and generates a record, for example, is taken into consideration to be a batch activity.

Automatic batch processing is a technique of walking software packages referred to as jobs in batches mechanically. while users are required to post the jobs, no other interaction by way of the user is required to procedure the batch.

Examples of batch processing are transactions of credit score cards, era of payments, processing of enter and output inside the operating gadget etc. Examples of actual-time processing are bank ATM transactions, purchaser services, radar gadgets, weather forecasts, temperature size, and so forth.

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barga company's net sales for year 1 and year 2 are $730,000 and $1,095,000, respectively. its year-end balances of accounts receivable follow: year 1, $65,000; and year 2, $123,000. a. complete the below table to calculate the days' sales uncollected at the end of each year.

Answers

Year 1 = 35.23 days

Year 2 = 44.64 days

What are net sales?Net sales are calculated by deducting appropriate sales returns, allowances, and discounts from gross revenue. Net sales costs have an impact on a company's gross profit and gross profit margin, but net sales exclude the cost of goods sold, which is typically a key driver of gross profit margins.Net sales are operating revenues obtained by a corporation for selling its products or performing its services in bookkeeping, accounting, and financial accounting. They are recorded directly on the income statement as Sales or Net sales and are also known as revenue.

So, Days' Sales Uncollected = Accounts receivable / Net Sales * Days

Year 1 = $64,000 / $663,000 * 365 days = 35.23 days

Year 2 = $91,000 / $744,000 * 365 days = 44.64 days

Therefore,

Year 1 = 35.23 days

Year 2 = 44.64 days

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The question you are looking for is here:

Barga Co.'s net sales for Year 1 and Year 2 are $663,000 and $744,000, respectively. Its year-end balances of accounts receivable follow Year 1, $64,000; and Year 2, $91,000. Complete the below table to calculate the days' sales uncollected at the end of each year.

Days' Sales Uncollected

Choose Denominator: / Choose Numerator: * Days = Days' Sales Uncollected

Year 1: days

Year 2: days

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A network of people and services with which we share ties and which provide support is:. The coordinates of the vertices of MER are M(3,2), E(3,3), and R(9,3). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree. Answers;A) ME = 5; ER = 6, MR 7.81 mE = 90, mM 50, mR 40B) ME = 6; ER = 5, MR 7.81 mE = 90, mM 51, mR 39C) ME = 6; ER = 5, MR = 11 mE = 90, mM 50, mR 40D) ME = 5; ER = 6, MR 7.81 mE = 90, mM 40, mR 50Please give a full explanation I would really appreciate it :) Which experimental scenario is most likely to result in social facilitation? One cell from an organism has a cell wall but no mitochondria will this organism be multicelluar or unicelluar A company with a narrow span of control, which tends to have many managerial levels and a long chainof command, is said to have a ______ organizational structure PLEASE HELP MEEEEejhchnthnht If a few bits in an hdd sector or nvm page are corrupted, the controller can recover the correct values using ecc only if:___. Modern aircraft are designed in a way that, when all seats are occupied, the baggage compartment is full, and all fuel tanks are full, the aircraft is: Which has had the most significant effect on the rise of globalization?the containment of communismadvances in farmingcomputer technologymilitary alliances how many levels in the authorized to offer program Electric forces can be explained using fields that extend through space. We can think of these fields as surrounding any charged object. What is one advantage of thinking about the electric force as a field? There are 26 prize tickets in a bowl, labeled A to Z. What is the probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen? Does this represent an independent or dependent event? Explain. The vertices of a triangle are P (-6,1), Q(-2,5) and R (8,1) - what is the slope of the median of the triangle that passes through point R?What is the slope of the altitude of the triangle that passes through point Q? ?What is the equation of a parabola that has a vertical axis,passes through the point (-1, 3), and has its vertex at (3, 2)?X=y=y=X =16216++166x 4116 164116x2 641+16 16 16 4116 16 16+ arrange the word in complete sentence seal/by /a/ gigantic/ captured /fishermen /was There are several methods of gene editing, including ________, the most widely used method. Julie has 20 times as many bouncy ball as her brother her brother haves 4 balls how many does Julie have? in accordance with da pam 385-63 select the statement that best represents the requirements Why did Buddhism spread to other parts of Asia Read the passage from When Birds Get Flu and Cows Go Mad! by John DiConsiglio.Japan, for example, tests a sample from every cow that will be used for food. The meat is kept in refrigerators until the test comes back negative. Most European nations test about 70 percent of their cows.But in the U.S., only about 650,000 of the 35 million cattle slaughtered each year are tested.The author sets the tone with his use of word order statisticssignal wordspunctuation