Give a combinatorial argument (that is, not using algebra, but with .pdf

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Give a combinatorial argument (that is, not using algebra, but with an argument about \"choosing\" things) for the identity: C(n+1,k)= (n,k) + (n,k-1). Solution C(n+1,k) = choosing k objects out of (n+1) objects You can choose the first object and k-1 object out of remaining n objects: C(n,k-1) Or you can remove the first object and choose all k objects from the remaining n objects: C(n,k) Therefore: C(n+1,k) = C(n,k) + C(n,k-1).

Give a combinatorial argument (that is, not using algebra, but with an argument about
"choosing" things) for the identity: C(n+1,k)= (n,k) + (n,k-1).
Solution
C(n+1,k) = choosing k objects out of (n+1) objects
You can choose the first object and k-1 object out of remaining n objects: C(n,k-1)
Or you can remove the first object and choose all k objects from the remaining n objects: C(n,k)
Therefore:
C(n+1,k) = C(n,k) + C(n,k-1)

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Give 5 research project topics on SMART BUILDINGS TECHNOLOGY using sensors. Solution here are the ongoing projects 1) . Wireless Sensor Networks Technology for Smart Buildings. ( pre court energy efficieny center stanford university) . 2) .intilligent buliding management & A Sense Diary System for Intelligent Buildings( university of manchester) 3) . Bringing the Semantic Sensor Web to Smart Buildings( Knowledge and Data Engineering Group, Trinity College Dublin) 4) .Intelligent and Energy Efficient Buildings (virginia) 5). electricity and water fixtures in house system ( virginia).

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Give 4 reasons while Indonesia and Australia have to work together even with the latest spat between the two Give 4 reasons why third world countries have misconceptions about the IMF Solution Give 4 reasons while Indonesia and Australia have to work together even with the latest spat between the two Answer: Following are the reasons behind the cooperation of Indonesia and Australia depsite the latest spat: Give 4 reasons why third world countries have misconceptions about the IMF Answer: Following are the reasons for third word countries misconceptions about the IMF:.

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General thoughts on Civil Engineering. I Have a discussion Board on: Solution By the first look of the report card I was surprised to see that a developed economy like that of america has such a bad condition with its infrastructure. Trillions of investment are to be done in the infrastructure sector to get back in track and salvage the pride of the nation. The civil engineers have to enlighten the US citizens and law makers about the dire need for addressing the issues with infrastructure. ASCE has given a D+ in the latest report card and cited insufficient water ways, roads and urgent maintenance requirement for existing bridges and dams. The media is the best way to for civil engineers to put forward these issues to the general public. All the requirements and and consequences are to be showcased with clarity so that the public and law makers can understand its importance. The public can be educated about the importance of infra structure and the problems and disasters they may face if proper investments are not done within time..

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George performed a hypothesis test. Luis checked George Solution I\'m sorry, but I grew up with PEMDAS! Please Excuse My Dear Aunt Sally Parentheses, Exponents, Multipication AND Division, Addition AND Subtraction (They are interchangeable) If you take this into account; 6/2(1+2) Parentheses: 1+2 = 3 Exponents: Obvious there are none. Multipication AND Division: 6 DIVIDED by 2 = 3 Now all you are left with is 3(3). 3 TIMES 3 is 9!.

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George Forbes operates a law office under the name George Forbes, Law Offices. On June 30, 2002, the balance sheet showed Cash $3,000, Accounts Receivable $1,200, Supplies $600, Office Equipment $5,900, Accounts Payable $3,400, and George Forbes, Capital, $7,300. During July the following transactions occurred: 1. Collected $1,000 of account receivable. 2. Paid $2,800 cash on accounts payable. 3. Earned fees of $7,500, of which $3,500 is collected in cash and the balance is due in August. 4. Purchased additional office equipment for $1,500, paying $500 in cash and the balance on account. 5. Paid salaries $1,600, rent for July $800, and advertising expenses, $250. 6. Withdrew $750 in cash for personal use. 7. Received $3,000 from the Bank of Montreal money borrowed on a note payable. 8. Incurred utility expenses for month on account, $275. Instructions: a) Beginning with June 30 balances, prepare a tabular analysis of the July transactions. The column headings should be as follows: Cash + Accounts Receivable + Supplies + Office Equipment = Accounts Payable + George Forbes, Capital. (b) Prepare an income statement for July, a statement of owner\'s equity for July and a balance sheet at July 31 Solution Tabular analysis of the July transactions S.No. Cash + Accounts Receivable + Supplies + Office Equipment = Accounts Payable + George Forbes, Capital Balance $ 3,000 + $ 1,200 + $ 600 + $ 5,900 = $ 3,400 + $ 7,300 1 $ 1,000 + $ (1,000) + + = + 2 $ (2,800) + + + = $ (2,800) + 3 $ 3,500 + $ 4,000 + + = + $ 7,500 4 $ (500) + + + $ 1,500 = $ 1,000 + 5 $ (2,650) + + + = + $ (2,650) 6 $ (750) + + + = + $ (750) 7 $ 3,000 + + + = $ 3,000 + 8 $ (275) $ (275) Ending Balance $ 3,525 + $ 4,200 + $ 600 + $ 7,400 = $ 4,600 + $ 11,125 Income Statement: Fees revenue $ 7,500 Less: Salaries Expenses $ (1,600) Less: Rent Expenses $ (800) Less: advertising expenses $ (250) Less: utility expenses $ (275) Net income $ 4,575 Statement of owner\'s equity Beginning balance $ 7,300 Net income $ 4,575 Less: Withdrawals $ (750) Ending balance $ 11,125 Balance sheet at July 31 Assets: Cash $ 3,525 Accounts Receivable $ 4,200 Supplies $ 600 Office Equipment $ 7,400 Total Assets $ 15,725 Liabilities Accounts Payable $ 4,600 Owner\'s equity $ 11,125 Total Liabilities and Equity $ 15,725 Tabular analysis of the July transactions S.No. Cash + Accounts Receivable + Supplies + Office Equipment = Accounts Payable + George Forbes, Capital Balance $ 3,000 + $ 1,200 + $ 600 + $ 5,900 = $ 3,400 + $ 7,300 1 $ 1,000 + $ (1,000) + + = + 2 $ (2,800) + + + = $ (2,800) + 3 $ 3,500 + $ 4,000 + + = + $ 7,500 4 $ (500) + + + $ 1,500 = $ 1,000 + 5 $ (2,650) + + + = + $ (2,650) 6 $ (750) + + + = + $ (750) 7 $ 3,000 + + + = $ 3,000 + 8 $ (275) $ (275) Ending Balance $ 3,525 + $ 4,200 + $ 600 + $ 7,400 = $ 4,600 + $ 11,125 Income Statement: Fees revenue $ 7,500 Less: Salaries Expenses $ (1,600) Less: Rent Expenses $ (800) Less: advertising expenses $ (250) Less: utility expenses $ (275) Net income $ .

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General Journal Entry Worksheet Options to Choose from the Income Statement and Balance Sheet: -No Journal Entry Required -Accounts Payable -Accounts Receivable -Accumulated Depreciation -Advertising Expense -Allowance for Doubtful Accounts -Bad Debt Expense -Buildings -Cash -Contributed Capital -Cost of Goods Sold -Delivery Expense -Depreciation Expense -Dividends (Declared) -Dividends Payable -Equipment -Income Tax Expense -Income Tax Payable -Insurance Expense -Interest Expense -Interest Payable -Interest Receivable -Interest Revenue -Inventory -Land -Legal Expense -Notes Payable (long-term) -Notes Payable (short-term) -Notes Receivable -Office Expenses -Operating Expenses -Other Current Assets -Other Current Liabilities -Other Expenses -Other Noncurrent Assets -Other Noncurrent Liabilities -Other Revenue -Prepaid Insurance -Prepaid Rent -Purchases -Rent Expense -Rent Payable -Rent Revenue -Repairs and Maintenance Expense Solution.

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g) What processes are used to dry wood? Solution Wood drying (also seasoning lumber or wood seasoning) is reduction in the moisture content of wood before its use. 1.Natural Seasoning--seasoning is carried out by allowing it to dry in natural air.The basic principle is to stack the timber so that plenty of air can circulate around each piece. The timber is stacked with wide spaces between each piece horizontally, and with strips of wood between each layer ensuring that there is a vertical separation too. 2.Artificial seasoning-- i) BOILING--Timber is immersed in water and water is then boiled. ii)CHEMICAL SEASONING--Timber is immersed in a solution of suitable salt,taken out and seasoned in ordinary way iii)ELECTRICAL SEASONING--High frequency alternating currents are used to dry timber. Iv)KILN SEASONING--wood is dried in airtight chamber or oven v)WATER SEASONING--wood is immersed in running stream of water for 2 to 4 weeks so that sap is washed away by water..

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Fundamentals of Corporate Finance Chapter 15 How Corporations Raise Venture Capital and Issue Securities Homework 1) Define venture capital 2) Why do venture capital investors structure deals so that the venture capital managers have a strong incentive to work hard? 3) Infant companies try to raise capital to get them through to where? 4) How is most venture capital is provided? 5) Who are angel investors? 6) How are venture capital firms involved with the companies they fund? 7) How are most venture capital firms organized and what is the life of this business? 8) What are venture capitalists looking for? 9) What is an IPO (Initial Public Offering)? 10) Compare primary offerings to secondary offerings 11) What is the first task in arranging a public issue? 12) What is the role of the underwrite in the issue? 13) Define the spread involved in arranging a public issue. 14) What is the role of the SEC (Securities and Exchange Commission)? 15) Describe the \"blue sky\" laws. 16) What is the prospectus? 17) Who arranges the \"road show\" and what occurs at the show? 18) Describe the how the issue goes from the issuing company to the actual investors in the market. 19). what are some of the alternative ways to issue stock? 20) What is shelf registration and what are some advantages?. 21)What is private placement and what are advantages of private placement? Solution 1) Define venture capital 1) Venture capital is investment for seed early-stage, emerging and emerging growth companies. Venture capital funds invest in companies in exchange for equity in the companies they invest in, which usually have a new technology or business model in high technology industries, such as biotechnology and IT. Venture capital is invested for high rate of return with high risk of investment. 2) Why do venture capital investors structure deals so that the venture capital managers have a strong incentive to work hard? 3) Infant companies try to raise capital to get them through to where? 3) Infant companies try to raise capital through angel investors and super angels 4) How is most venture capital is provided? 4) Within the venture capital industry, the general partners and other investment professionals of the venture capital firm are often referred to as \"venture capitalists\". Venture capitalists provide the venture capital, 5) Who are angel investors? 5) Angel investors are high net worth individuals who will invest between $25,000 and $500,000 in your company in exchange for an ownership interest. That can be done through an equity investment or something called “convertible debt,” which is a short-term loan that is turned into equity if and when the company raises further venture capital in a Series A offering of shares through an institutional firm like a venture capital fund. 6) How are venture capital firms involved with the companies they fund? 6) Once you have raised your seed round of funding and perhaps gotten to the point where you have your product a.

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Nutritional Needs Presentation - HLTH 104

Nutritional Needs Presentation - HLTH 104

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Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi

Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi

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1. Give a combinatorial argument (that is, not using algebra, but with an argument about "choosing" things) for the identity: C(n+1,k)= (n,k) + (n,k-1). Solution C(n+1,k) = choosing k objects out of (n+1) objects You can choose the first object and k-1 object out of remaining n objects: C(n,k-1) Or you can remove the first object and choose all k objects from the remaining n objects: C(n,k) Therefore: C(n+1,k) = C(n,k) + C(n,k-1)