Numerade

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Should Mariam be concerned for the other children who are in class with Sam? Why or why not?

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SS 3.32 The gate shown is hinged at H. The gate is 3 m wide normal to the plane of the diagram. Calculate the force required at A to hold the gate closed. 1.5 m H 3 m A Water 30° P3.32

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22. If you analyzed a sample of fertilizer by the procedure of Experiment C (Stoichiometry and Reactions in Aqueous Solutions) and obtained 1.000g of MgNH$_4$PO$_4$·6H$_2$O(s) as the product, the equivalent mass of "P$_2$O$_5$" initially in the sample was: (a) 0.578 (b) 1.034 (c) 0.289 (d) 2.068 (e) 0.145

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2. [25%] In the following Domino logic circuit, $V_{DD} = 2V$. There are parasitic capacitances of 10fF, 10fF, 40fF, 20fF and 60fF at nodes 1, 2, 3, 4 and Y, respectively. All the NMOS transistors have an ON-resistance of 10k$\Omega$ and a threshold voltage of 0.43V. (a) Express X and Y as Boolean functions of inputs A, B, C, D, and E. (b) The CMOS inverter between the two dynamic gates is essential. Why? (c) How would you set the relative driving strength of the NMOS and PMOS in this inverter? Explain. (d) Consider A = B = 1 and C changing from 0 to 1 during the evaluation phase (clk is high). Estimate the propagation delay from C to node 3 using the Elmore model. (e) The above inputs come together with E = D = 0, and node 4 is initially discharged. What is the voltage at Y at the end of the evaluation phase?

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Exponents and Polynomials Multiphing a univariate polynomial by a monor Rewrite without parentheses. -4w^(6)(4w^(2)-7w-8) Simplify. your answer as much as possible.

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Solve $6\cos(2\alpha) = 6\sin^2(\alpha) + 5$ for all solutions $0 \le \alpha < 2\pi$ $\alpha = 65.90, 114.10, 245.90, 294.10$

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Solve by the substitution method. x+y=9 y=x+3

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for any integers a and b not both 0, there are integers x and y such that ax +by = (a,b)

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Problem 1 (20 points). Calculate the fluid vorticity for the following velocity fields: (here $ (u, v, w) $ denote the components of the velocity field $ \vec{u} $) [a] $ u = 4t + 0.4x + 0.4y $, $ v = 4t - 0.4x - 0.4y $, $ w = 0 $ [m/s] (10 points) [b] $ u = xt^2 $, $ v = -yt^2 $, $ w = 0 $ [m/s] (10 points)

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• Which of the following steps in the strategic management process is the source of its feedback loop? A. Carry out the strategic plan B. Establish the grand strategy C. Establish the mission and vision D. Formulate the strategic plans E. Maintain strategic control.

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barbara w.