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paul williams

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Solve the system of equations. $x_1 + 3x_2 + 2x_3 = 11$ $4x_2 + 9x_3 = -12$ $x_3 = -4$ A. $(6,1,-4)$ B. $(1,6,-4)$ C. $(1,-4,6)$ D. $(-4,6,1)$

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13. A $AgNO_3$ solution containing 0.00739 g of $AgNO_3$ per gram of $H_2O$ is electrolyzed between silver electrodes. During the experiment 0.078 g of Ag plate out at the cathode. At the end of the experiment the anode portion contains 23.14 g of $H_2O$ and 0.236 g of $AgNO_3$. What are the transport numbers of $Ag^+$ and $NO_3^-$ ions? $t_+ = \frac{\text{loss in cation equivalents at anode due to migration}}{\text{equivalents of current passed}}$ equivalents of currents passed: $= 0.078g \text{ } Ag (\frac{1 \text{ mole } Ag}{107.8683g \text{ } Ag})(\frac{1 \text{ equivealent } Ag}{1 \text{ mole } Ag}) = 7.231 \times 10^{-4}$ $0.236g \text{ } AgNO_3 (\frac{1 \text{ mole } AgNO_3}{169.8683g \text{ } AgNO_3}) = 1.389 \times 10^{-3} \text{ moles } AgNO_3$ Equivalents $Ag^+$ migrated $= (7.231 \times 10^{-4} + 1.006 \times 10^{-3} - 1.389 \times 10^{-3}) \text{ moles } AgNO_3$ $= 3.401 \times 10^{-4} \text{ moles } AgNO_3$ $3.401 \times 10^{-4}$

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Mixed acid fermentation is characteristic of enterics taxonomic group. True False

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What characterizes a static computing environment? Frequent hardware and software changes

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The annual audit of the accounting records and draft financial statements of Al Hilal Ltd. as at 30 June 2023 revealed the following errors and omissions. (a) Credit notes totalling $75 000 relating to June sales were posted against sales made in July. (b) The purchase price of $106 800 for a new vehicle on 1 January 2022 was posted to the vehicle maintenance expense account. Motor vehicles are depreciated at 25% p.a. straight-line. (c) A manufacturing assembly line has been taken out of operation pending its sale. The asset had a carrying amount of $50 000 as at 30 June 2023 and is likely to be sold for a profit. (d) No disclosure has been made about a fire in the warehouse during May that caused damage worth $300 000. The warehouse and its contents are fully insured. (e) No adjustment to the allowance for doubtful debts has been made to reflect the fact that a major debtor owing $41 500 went into liquidation after the end of the reporting period. Correspondence with the liquidator indicates that the expected payout will be 10c in the dollar. Required Assume all errors and omissions are material. Prepare the necessary adjustments (if any) for each item

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Select each step to complete a proof by contrapositive of the theorem below. Theorem: For every pair of integers x and y, if 9xy + 6 is even, then at least one of x or y n 1. Let x and y be integers. We will assume that it is not true that x or y is even and v 2: Select 3: Select 4: Select 5: Select 6: Select 7. Since 9xy + 6 is equal to two times an integer plus 1, 9xy + 6 is odd.

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Could a future advance in technology allow production beyond the current PPF?

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9. What is the characteristic of the field formed by the set of matrices $F = \left\{ \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}, \begin{pmatrix} 1 & 1 \\ 1 & 0 \end{pmatrix}, \begin{pmatrix} 0 & 1 \\ 1 & 1 \end{pmatrix}, \begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix} \right\}$ with entries in $Z_2$?

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13) A 30kV generator provides a constant 30 kV three-phase source, which is stepped up through a 1:10 \(\Delta \) - Y transformer. The high side of this transformer is connected to a feeder with an impedance of 1+j5 ohms, then is connected to a 10:1 step-down Y - Y transformer which then supplies a 50 \(\Omega\) resistor and a 30 mH inductor connected in series. Draw the single-line per-unit diagram and then calculate the load current magnitude as well as its phase relative to the generator.

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Suppose, at time $t = 0$, we connect a battery (emf $E_0$) to a circuit of resistance $R$ and inductance $L$. What current will flow in the circuit as a function of time?

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