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The railway crossing gate consists of the 110-kg gate arm having a center of mass at $G_a$ and the 250-kg counterweight having a center of mass at $G_w$. (Figure 1) Determine the magnitude and directional sense of the resultant moment produced by the weights about point A. Express your answer to three significant figures and include the appropriate units. $M_A = $ Value kN$\cdot$m

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Quadrilateral NOPQ is dilated by a scale factor of start fraction, 2, divided by, 3, end fraction32 to form quadrilateral N'O'P'Q'. What is the measure of side Q'N'?

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Question 4 A compound is a pure substance. ? True ? False

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32. $\int_0^{\pi/4} \sec \theta \tan \theta \ d\theta$

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B = \{ \begin{bmatrix} -3\\1 \end{bmatrix}, \begin{bmatrix} 4\\1 \end{bmatrix} \}, [x]_B = \begin{bmatrix} 1\\2 \end{bmatrix} Find the vector x determined by the coordinate vector $[x]_B$ and the basis B. $\begin{bmatrix} 5\\3 \end{bmatrix}$ $\begin{bmatrix} -7\\-5 \end{bmatrix}$ $\begin{bmatrix} -5\\6 \end{bmatrix}$ $\begin{bmatrix} 3\\-10 \end{bmatrix}$ $\begin{bmatrix} -11\\-4 \end{bmatrix}$ All other choices are incorrect.

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\begin{cases} x - y = 2 \\ 3x + y = 6 \end{cases}

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Use integration by parts to evaluate the definite integral: \(\int_{0.7}^{0.8} 4se^{2s} ds = \)

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Determine the number of solutions to the system of equations: y = 3x - 5 2y = 4x - 8

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If a trait has a large inherited component, then concordance among monozygotic twins will be: A. About the same as that of dizygotic twins B. 0% C. Much lower than that of dizygotic twins D. Much higher than that of dizygotic twins

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