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$Cl^- + AlCl_3 \longrightarrow AlCl_4^-$ Lewis acid Lewis base $BF_3 + F^- \longrightarrow BF_4^-$ Lewis base Lewis acid $NH_3 + H^+ \longrightarrow NH_4^+$ Lewis base Lewis acid

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(6) In the circuit shown below, use the source transformation method to find $I_o$. $i_a$ $I_o$ 2 $\Omega$ 4 $\Omega$ 12 $\Omega$ + 12 V 12 $\Omega$ 3 A 6A + 12 V --- OCR End ---

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Let $f(x) = \sqrt{2x - 7}$, $g(x) = 8x - 6$ and $h(x) = \frac{x - 8}{x + 7}$. Find and simplify the indicated composite function. $(f \circ g)(x)$ Find the domain. (Enter your answer using interval notation.)

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Three ions bearing positive charges found within our cells and interstitial fluid are sodium, calcium, and potassium. Yet, if a cell’s current membrane potential was around -50 mV, and ion channels permeable to each of these three ion types opened up, the direction of net movement would not be the same for all three ions. Calcium and sodium ions would tend to move into the cell, while potassium ions would tend to move out of the cell. Group of answer choices True False

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Which is/are true? A) The term Torah refers to the sacred box containing the Jewish law. B) The Maccabean Revolt was a rebellion against Hellenistic Greek rule led by Moses. C) All of these choices. D) Teachers of the law and successors to the Pharisees are called rabbis.

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2. What would be the name for the following hydrate? $CuSO_4 \cdot 5H_2O$

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A loop of area 3,826 cm² is in a uniform 60.2-mT magnetic field. If the flux through the loop is 6.43 x 10?³ T-m², what angle does the normal to the plane of the loop make with the direction of the magnetic field? [Give your answer in degrees and round it to nearest tenth.]

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3. Solve for $ x $ in the equation $ x^{4}-5 x^{2}+4=0 $.

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3. (15) a. Sketch the graph of $f(x) = \frac{|x|}{x}$ b. Evaluate $\lim_{x \to 0^+} \frac{|x|}{x}$ c. Evaluate $\lim_{x \to 0^-} \frac{|x|}{x}$ d. Evaluate $\lim_{x \to 0} \frac{|x|}{x}$

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2. Consider a part made from 7475-T7351 aluminum alloy in a state of stress shown in the figure ($\sigma_y = 2\sigma_x$). (1) Determine the maximum shear stress and the plane on which the maximum shear stress occurs. You may use Mohr's circle. (2) What is the basic assumption of the octahedral shear stress yield criterion? (3) With $\sigma_y = 450$ MPa, based on the octahedral shear stress yield criterion, will the part exhibit yielding? (4) Using the octahedral shear stress criterion, determine $\sigma_y$ required for yielding.

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paul k.