Numerade

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$ V_{x}=\sqrt{2(3.479)(0.72)} $

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For a inear programming problem with constraint 27*x + 20 *y <= 1246 if the optimal solution is x = 6 and y = 9 the slack value for the above constraint is?

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Phys 129 Worksheet 5 - Forces 1 Problem 4 - A Layer of Abstraction There are three forces acting on a point-like object with a mass of 5.00 kg. The first two forces can be represented by: $\vec{F}_1$ = (25.0 N)î – (35.0 N)? & $\vec{F}_2$ = (37.5 N)î + (12.5 N)? Under the influence of the three forces, the object's acceleration is: $\vec{a}$ = (2.00 $\frac{m}{s^2}$)? a) Find the magnitude and direction (relative to the +x axis) of the third force, $\vec{F}_3$. b) In the space below, draw an approximate graphical representation of Newton's 2$^{nd}$ Law for this scenario, which can be expressed as $\vec{F}_1$ + $\vec{F}_2$ + $\vec{F}_3$ = m$\vec{a}$. Be sure to include and label your axes. Modification of the original version by Ted Walker Page 5/5

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What is the function of the cerebellum in the brain? A) Memory storage B) Muscle coordination C) Vision processing D) Language comprehension

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Martina deposited $7000 into an account with a 10% annual interest rate, compounded quarterly. Assuming that no withdrawals are made, how long will it take for the investment to grow to $7917? Do not round any intermediate computations, and round your answer to the nearest hundredth.

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In April, the U.S. dollar–euro exchange rate rises to $1.36 per euro. U.S. consumers respond to the dollar depreciation by reducing their imports to 95,000 European cars. Assuming that the average cost of a European car remains €18,000, the United States spends a total of $1.62 billion on imported European cars in April. If the total value of U.S. exports remains $0.98 billion, the United States has net exports of -$0.64 billion.

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1. Find a basis for the nullspace of the following matrix A. Show all work. \begin{equation*} A = \begin{bmatrix} 8 & 12 & 1 \ -6 & -9 & 1 \ 2 & 3 & -1 \end{bmatrix} \end{equation*}

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Answer the following questions based on the vectors given below. v = (4, -2) w = (2, 1) z = (1, 2) q = (3, 1, -1) r = (-1, 1, -2) s = (2, 2, -3) a) Find b = 2v - w b) Find y = 3r + 2s c) Find u = z - w d) Determine whether vectors v and w are orthogonal. e) Determine whether vectors r and q are orthogonal. f) Suppose vector s and vector p = (3, x, 1) are orthogonal. Find the area of the parallelogram whose adjacent sides are s and p.

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Select 5 Public companies -Cannot be in the same industry Calculate their cash conversion cycle Graph the CCC of the five firms on to a chart

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Using Thevenin's theorem, find the current through and voltage across Rs R3 WW 6 9 R4 4 0 29 R1 R5 5 9 + 3 9 R2 3 A is vS 20 V

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