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Section 1.10. Exercise # 3: Create linear equations A = $x_4 + 200 = x_1 + 300$ -> $-x_1 + x_4 = 100$ B = $x_1 + 100 = x_2 + 400$ -> $x_1 - x_2 = 300$ C = $x_2 + 300 = x_3 + 400$ -> $x_2 - x_3 = 100$ D = $x_3 + 750 = x_4 + 250$ -> $x_3 - x_4 = -500$ The number of cars going IN should = the ones going OUT. IN: 300 + 750 + 200 + 100 = 1350 OUT: 400 + 400 + 250 + 300 = 1350 Solve the augmented matrix: $\begin{bmatrix} -1 & 0 & 0 & 1 & 100 \\ 1 & -1 & 0 & 0 & 300 \\ 0 & 1 & -1 & 0 & 100 \\ 0 & 0 & 1 & -1 & -500 \end{bmatrix}$ ~ $\begin{bmatrix} 1 & 0 & 0 & -1 & -100 \\ 1 & -1 & 0 & 0 & 300 \\ 0 & 1 & -1 & 0 & 100 \\ 0 & 0 & 1 & -1 & -500 \end{bmatrix}$ $R_1 \div -1$ ~ $\begin{bmatrix} 1 & 0 & 0 & -1 & -100 \\ 0 & -1 & 0 & 1 & 400 \\ 0 & 1 & -1 & 0 & 100 \\ 0 & 0 & 1 & -1 & -500 \end{bmatrix}$ $-R_1 + R_2$ ~ $\begin{bmatrix} 1 & 0 & 0 & -1 & -100 \\ 0 & 1 & 0 & -1 & -400 \\ 0 & 1 & -1 & 0 & 100 \\ 0 & 0 & 1 & -1 & -500 \end{bmatrix}$ $R_2 \div -1$ ~ $\begin{bmatrix} 1 & 0 & 0 & -1 & -100 \\ 0 & 1 & 0 & -1 & -400 \\ 0 & 0 & -1 & 1 & 500 \\ 0 & 0 & 1 & -1 & -500 \end{bmatrix}$ $-R_2 + R_3$ ~ $\begin{bmatrix} 1 & 0 & 0 & -1 & -100 \\ 0 & 1 & 0 & -1 & -400 \\ 0 & 0 & 1 & -1 & -500 \\ 0 & 0 & 1 & -1 & -500 \end{bmatrix}$ $R_3 \div -1$ ~ $\begin{bmatrix} 1 & 0 & 0 & -1 & -100 \\ 0 & 1 & 0 & -1 & -400 \\ 0 & 0 & 1 & -1 & -500 \\ 0 & 0 & 0 & 0 & 0 \end{bmatrix}$ $-R_3 + R_4$ Answers: $x_1 = 300$ $x_2 = 0$ $x_3 = -100$ $x_4 = 400$

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calculate the percent by mass of hydrogen peroxide in a5.68M solution of H2O2 in water the density of the solution is 1.00g/mol

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A capital gain is calculated as an asset's beginning (purchase) price minus its ending (sale) price. A bond that was purchased four years ago for $950 and sold yesterday for $1,125 is realizing a capital

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Consider the supply and demand curves above. The shaded region represents the: Producer willingness and ability to receive Consumer expenditure Producer surplus Producer revenue Consumer willingness and ability to spend Total social gain at equilibrium Consumer surplus

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Part A Match each of the following arteries with its correct description. Drag the terms on the left to the appropriate blanks on the right to complete the sentences. supplies the adrenal gland Internal iliac artery: supplies the gallbladder, liver, esophagus, stomach, spleen, and duodenum. Gonadal artery: gives rise to the anterior and posterior tibial arteries Posterior tibial artery: supplies the ankle joint and foot Popliteal artery: gives rise to the fibular artery Suprarenal artery: supplies the kidney Dorsalis pedis artery: branches from the external Ililac artery Celiac trunk: supplies the ovaries or testes Femoral artery: perfuses the organs of the pelvic cavity Renal artery: Submit Request Answer Reset Help

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Problem 1: Let $T : [0,1) \to [0,1]$ be the tent map defined by $T(x) = \begin{cases} 2x & \text{if } 0 \le x \le 1/2\\ 2 - 2x & \text{if } 1/2 \le x \le 1. \end{cases}$ Prove that the set of all periodic points of $T(x)$ is dense in $[0, 1]$.

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If $f(x,y) = x \oplus y$ and $x = 1$, what must $y = $ for $f(x,y) = 1$?

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(g) Give the correct formula for each of the following complex ions. (i) Octahedral Cr$^{3+}$ complex ions having ethylenediamine ligands Cr(en)$_3^{3+}$ (ii) Octahedral Co$^{2+}$ complex ions having Cl$^-$ ligands Co(Cl)$_6^{4-}$

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Q3 What is the phase sequence of a balanced three-phase circuit for which Vm = 16030? Find Vbn and draw the phase sequence. [2 marks] Vn = 16030 + 120V = 160150V Draw the sequence phasor diagram. [2 marks]

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4. Using radius ratio rules and information from your textbook, predict the expected unit cells of beryllium(II) fluoride, beryllium(II) chloride, beryllium(II) bromide, and beryllium(II) iodide. Explain any assumptions. Describe the unit cells completely including a description/calculation of the occupancy of each type of ion.

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dawn m.