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alexander fowler

alexander f.

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Which compound would you expect to have a higher decomposition temperature, Na2CO3 or Cs2CO3? Justify your answer, but you do not need to do any calculations.

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Income Statements 2020 2019 Sales $2,000 $1,500 Operating costs excluding depreciation and amortization 1,250 1,000 EBITDA $750 $500 Depreciation and amortization 100 75 EBIT $650 $425 Interest 62 45 EBT $588 $380 Taxes (40%) 235 152 Net income $353 $228 Dividends paid $53 $48 Addition to retained earnings $300 $180 Shares outstanding 100 100 Price $25.00 $22.50 WACC 10.00% What is the firm's 2020 current ratio? Do not round intermediate calculations. Round your answer to two decimal places. 2.03 If the industry average debt-to-assets ratio is 30%, then Rosnan's creditors have a smaller cushion than indicated by the industry average. What is the firm's 2020 net profit margin? Do not round intermediate calculations. Round your answer to two decimal places. 18 % If the industry average profit margin is 12%, then Rosnan's lower than average debt-to-assets ratio might be one reason for its high profit margin. True What is the firm's 2020 price/earnings ratio? Do not round intermediate calculations. Round your answer to two decimal places. Using the DuPont equation, what is the firm's 2020 ROE? Do not round intermediate calculations. Round your answer to two decimal places. 18 %

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consider an isolated system of two particles of masses m1 = 2 kg and m2 = 5 kg. At time t1 = 1s, m1 is located at (4 i)

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Problem 1: Consider the vectors $\vec{u} = \begin{bmatrix} 1 \\ 0 \\ -1 \end{bmatrix}$ and $\vec{v} = \begin{bmatrix} 0 \\ 1 \\ 2 \end{bmatrix}$. Determine if each vector below belongs to the span of $S = \{\vec{u}, \vec{v}\}$. (a) $\begin{bmatrix} 3 \\ 1 \\ 0 \end{bmatrix}$ (b) $\begin{bmatrix} 2 \\ 1 \\ 0 \end{bmatrix}$ (c) $\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}$

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\$4 Sound mer be modekd as sinusidal finctions. Compare the relative frequeney and mivelicught of moviat initer the 120 mb in the rpeed of sount and the following frequencies fine the mavical scak. \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline Nate & E & D & E & F & \( G \) & A & B & c \\ \hline Fingheary & 31 & 20? & 136 & ? & 106 & 4es & 495 & 308 \\ \hline \end{tabular}

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Following are indications of metronidazole except: A. Anaerobic infection B. Amebiasis C. Trichomoniasis D. Tuberculosis

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Complete the truth table for the given statements and then determine if the two statements are logically equivalent. $p \implies \sim q$ and $p \land \sim q$ Answer 2 Points Truth Table $\sim q$ $p \implies \sim q$ $p \land \sim q$ p q T T F T F T F T F F T Equivalent Not Equivalent

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10.42* We intend to observe two distant equal-brightness stars whose angular separation is $50.0 \times 10^{-7}$ rad. Assuming a mean wavelength of 550 nm, what is the smallest-diameter objective lens that will resolve the stars (according to Rayleigh's criterion)?

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Q1 (ii) (a) What is the power delivered to the load admittance $Y_L = (0.9 - j0.02)$ S connected to the terminals a-b? [3 marks] (b) Determine the value of load admittance $Y_L$, for which the power delivered to the load is maximum. Calculate the value of the maximum delivered power. [3 marks] (iii) Using phasors to find the AC mesh current $i_1(t)$ for the circuit shown in Figure 1.3, where the voltage source is given as $v_s(t) = 4\sqrt{2} \cos(100t + 45^\circ)$ V, and $L = 20$ mH, $C = 1$ mF.

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Calculate $\frac{d}{dt}[\mathbf{r}_1(t) \cdot \mathbf{r}_2(t)]$ and $\frac{d}{dt}[\mathbf{r}_1(t) \times \mathbf{r}_2(t)]$ first by differentiating the product directly and then by applying the formulas $\frac{d}{dt}[\mathbf{r}_1(t) \cdot \mathbf{r}_2(t)] = \mathbf{r}_1(t) \cdot \frac{d\mathbf{r}_2}{dt} + \frac{d\mathbf{r}_1}{dt} \cdot \mathbf{r}_2(t)$ and $\frac{d}{dt}[\mathbf{r}_1(t) \times \mathbf{r}_2(t)] = \mathbf{r}_1(t) \times \frac{d\mathbf{r}_2}{dt} + \frac{d\mathbf{r}_1}{dt} \times \mathbf{r}_2(t)$. $\mathbf{r}_1(t) = \cos(t)\mathbf{i} + \sin(t)\mathbf{j} + 7t\mathbf{k}$, $\mathbf{r}_2(t) = 6\mathbf{i} + t\mathbf{k}$ $\frac{d}{dt}[\mathbf{r}_1(t) \cdot \mathbf{r}_2(t)] = \text{________}$ $\frac{d}{dt}[\mathbf{r}_1(t) \times \mathbf{r}_2(t)] = \text{________}$

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