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The small boat in the figure given below is driven at a steady speed $V_0$ by a jet of compressed air issuing from a 12-cm-diameter hole at $V_e = 343$ m/s . Jet exit conditions are $p_e = 1$ atm and $T_e = 30^\circ$C . Air drag is negligible, and the hull drag is $kV_0^2$, where $k \approx 19$ N $\bullet$ s$^2$/m$^2$ . The air density is 1.165 kg/m$^3$ . Estimate the boat speed $V_0$ in m/s. Compressed air $V_e$ $V_0$ Hull drag $kV_0^2$ The boat speed $V_0$ is m/s.

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Complete the Ratio Analysis for Nike, Inc. using the information provided in the Balance Sheets and/or Statements of Income. Balance Sheets for Nike, Inc. Fill in the blanks on the table below. Amounts do not need the dollar sign ($), whole numbers only, no decimals needed. (example 12,000) Percentages should be two decimal places and no percentage sign (%) is needed. (example 00.00) NIKE, Inc. Consolidated Balance Sheets (in millions) 2020 2019 2018 ASSETS Current Assets Cash and equivalents 8,348 4,466 4,245 Short-term investments 439 197 996 Accounts receivable, net 2,749 4,272 3,498 Inventories 7,367 5,622 5,261 Prepaid expenses and other current assets 1,653 1,968 1,130 Total Current Assets 20,556 16,525 15,134 Property, plant and equipment, net 4,866 4,744 4,454 Operating lease right-of-use assets, net 3,097 0 0 Identifiable intangible assets, net 274 283 285 Goodwill 223 154 154 Deferred income taxes and other assets 2,226 2,011 2,509 TOTAL ASSETS 31,342 23,717 22,536 LIABILITIES AND SHAREHOLDERS' EQUITY Current Liabilities Current portion of long-term debt 3 6 6 Notes payable 240 9 336 Accounts payable 2,240 2,612 2,279 Current portion of operating lease liabilities 445 0 0 Accrued liabilities 5,184 5,010 3,299 Income taxes payable 156 229 130 Total current liabilities 8,284 7,866 6,040 Long-term debt 9,406 3,464 3,468 Operating lease liabilities 2,913 0 0 Deferred income taxes and other liabilities 2,684 3,347 3,216 Commitments and contingencies Redeemable preferred stock Shareholders' equity Common stock at stated value Class A convertible - 329 and 353 shares outstanding Class B - 1,314 and 1,329 shares outstanding 3 3 3 Capital in excess of stated value 8,209 7,163 6,384 Accumulated other comprehensive (loss) income (56) 231 (92) Retained earnings (191) 1,643 3,517 Total shareholders' equity 8,005 9,040 9,812 TOTAL LIABILITIES AND SHAREHOLDERS' EQUITY 31,342 23,717 22,536 NIKE, Inc. Consolidated Statements of Income in millions 2020 2019 2018 Revenues 37,403 39,117 36,397 Cost of sales 21,162 21,643 20,441 Gross Profit 16,241 17,474 15,956 Demand creation expense 3,592 3,753 3,577 Operating overhead expense 9,534 8,949 7,934 Total selling and administrative expense 13,126 12,702 11,511 Interest expense (income), net 89 49 54 Other expense (income), net 139 (78) 66 Income before income taxes 2,887 4,801 4,325 Income tax expense 348 772 2,392 NET INCOME 2,539 4,029 1,933 Liquidity 2020 2019 Working Capital 12,272 8,659 Current ratio 2.48 2.10 Quick ratio 1.59 1.38 Profitability Asset Turnover 1.35 1.69 Return on total assets 10.48 20.75 Return on Stockholders' Equity 29.70 42.74 Solvency Ratio of fixed assets to long-term liabilities 51.73 1.36 Ratio of liabilities to stockholders' equity 1.16 0.38 Time interest earned 32.43 97.97

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Which choice correctly identifies the oxidation number (O.N.) for the given species? A Mn$^{2+}$, O.N. = 0 B Ca, O.N. = +2 C F$_{2}$, O.N. = -1 D Se$^{2-}$, O.N. -2 E P$_{4}$, O.N. = -1

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For each reaction in the table below, write the chemical formulae of any reactants that will be oxidized in the second column of the table. Write the chemical formulae of any reactants that will be reduced in the third column. reaction reactants oxidized reactants reduced $S_8(s) + 8Zn(s) \rightarrow 8ZnS(s)$ $Cu(s) + Cl_2(g) \rightarrow CuCl_2(s)$ $2Ni(s) + O_2(g) \rightarrow 2NiO(s)$

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Give It a Name - Ionic What is the name for the ionic compound MgO? manganese oxygen manganese oxide magnesium oxygen magnesium oxide

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Find all the values of x such that sin(2x) = -1/2 on [0, 2π].

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Cycle 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Input 0 0 1 1 1 0 1 0 1 0 0 1 0 1 State A Output

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5. (20 pts) Compute the energy (8 pts) and power (8 pts) of $x(t)$, and examine if it is an energy or a power signal (4 pts). $x[n] = \cos \pi n$, $n \ge 0$ Hint: Use the following formulas. Notice that the power can be simplified based on the periodicity of the given signal where $N_0$ denotes the period of $x[n]$. $E = \sum_{n=-\infty}^{\infty} |x[n]|^2$ $P = \lim_{N \to \infty} \frac{1}{N+1} \sum_{n=-\frac{N}{2}}^{\frac{N}{2}} |x[n]|^2$ $= \frac{1}{N_0 + 1} \sum_{n=-\frac{N_u}{2}}^{\frac{N_u}{2}} |x[n]|^2$

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QUESTION 3 Lego Ltd has an optimal capital structure of 25% debt; 10% preferred stock and 65% common stock. The company recently participated in the bonds market. They have sold an issue of 30-year bond with an 10% coupon rate and realizes net proceeds (after flotation costs) of $950 for each $1000 face value bond. During the same period the company also issued an 8% preferred stock having a par value of $120, priced at $135 and a flotation cost of $8.00 per share. The risk-free rate of equity is 6%; the expected return on market portfolio is 12% and beta for the company's stock is 1.2. Corporate taxes payable is at a rate of 30%. Required: A. Calculate the after-tax cost of debt. (5 marks) B. Calculate the cost of capital for preferred shares issued. (3 marks) C. What is the cost of equity? (4 marks) D. Calculate the weighted average cost of capital (WACC). (6 marks)

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8) CCM Buck-Boost: Duty cycle with non-ideal diode • For a NON-Synchronous CCM BUCK-BOOST converter where the diode has a forward voltage drop Vd derive the duty cycle as a function of input voltage Vin, output voltage Vout, and diode voltage Vd. Assume the transistor has zero voltage drop and the inductor has zero DCR.

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