Numerade

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Cross 1A x ? A resistor is created using a cube of carbon. The resistivity of carbon is $3.5 \times 10^{-5} \Omega$ m. The length of each side of the cube is $10^{-6}$ m. The cube is hooked up to a 1.5 V battery as shown in the figure. How much current flows through the cube? a) $4.3 \times 10^{10}$ A b) 1.5 A c) 23.3 A d) 0.1 A e) .043 A

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Is the debt of an LLC included in the basis computation for members?

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Let \\ W = \{p \in P_2(\mathbb{R}) \mid p(x) = a_0 + a_1x + a_2x^2, a_0^2 + a_1 = 0\}, \\ clearly a subset of P_2(\mathbb{R}). Prove whether or not W is a subspace of P_2(\mathbb{R}). When disproving, you must \\ provide a specific example that fails one of the defining properties of subspaces.

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Identify at least four things that affect the pattern of distribution and the range of living things

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What are the advantages of using a test of learning potential such as the Learning Potential Computerised Adaptive Test (LPCAT) in the South African context?

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Question 7 --- measures working memory capacity planning task ? complex span tasks Stroop task simple span tasks

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Round sponges are commonly known as tonsil sponges T True F False

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The _____ role in Active Directory manages the addition and removal of all domains and directory partitions Question 1Select one: a. Domain Naming Master b. Schema Master c. Infrastructure Master d. Relative ID Master e. PDC Emulator

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Four different machines were under consideration for materials flow improvement on a drug bottling line. An engineer performed the economic analysis to select the best machine, but some of his calculations were removed from the report by a disgruntled employee. All machines are assumed to have a 10 year life. (a) Fill in the missing values in the comparison table (for ROR calculation, rounded to nearest integer) (b) Select the best machine at MARR $ =18 \% $ per year, given options are mutually exclusive. \begin{tabular}{lrrrr} Machine & $ \mathbf{1} $ & $ \mathbf{2} $ & $ \mathbf{3} $ & $ \mathbf{4} $ \\ Initial cost, R & (i) & $ -600,000 $ & $ -720,000 $ & $ -980,000 $ \\ Annual cost, R per year & $ -700,000 $ & $ -640,000 $ & $ -610,000 $ & $ -580,000 $ \\ Annual savings, R per year & $ +800,000 $ & (ii) & $ +800,000 $ & $ +820,000 $ \\ Overall ROR, $ i^{*}, \% $ & $ 18.6 \% $ & $ 23.4 \% $ & $ 23.1 \% $ & $ 20.8 \% $ \\ \hline Machines compared & 2 vs. 1 & 3 vs. 2 & 4 vs. 3 \\ Incremental investment, R & $ -160,000 $ & $ ( $ iii) & $ -260,000 $ \\ Incremental cash flow, R per year & $ +60,000 $ & $ +30,000 $ & (iv) \\ ROR on increment, $ \Delta i^{*}, \% $ & $ 35.7 \% $ & $ 21.4 \% $ & (v) \end{tabular}

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PROBLEM 1 - A myopic person is shaving without his contact lenses. a) If his eyes have a far point of 1.6 m, what is the greatest distance he can stand in front of a plane mirror and still see his image clearly?

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jacob j.