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5. (a) Given $ \left\{x_{1}, x_{2}, x_{3}\right\} $ is a basis for $ W $ of $ R^{4} $, where $ x_{1}=\left[\begin{array}{l}1 \\ 1 \\ 1 \\ 1\end{array}\right], x_{2}=\left[\begin{array}{l}0 \\ 1 \\ 1 \\ 1\end{array}\right], x_{3}=\left[\begin{array}{l}0 \\ 0 \\ 1 \\ 1\end{array}\right] $. Construct an othorgonal basis for W using Gram-Schmidt process.

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the -OH in a sample of coconut milk is 7.9x10-7 M. What is the H3O+ in the milk

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E2E.4(a) A sample of carbon dioxide of mass 2.45 g at 27.0 °C is allowed to expand reversibly and adiabatically from 500 cm3 to 3.00 dm3. What is the work done by the gas? Calculate the final temperature

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2. (8 pts) Find $x$ such that $\begin{pmatrix} 3x & 2x \ 1 & 2 \end{pmatrix}^{-1} = \frac{1}{4} \begin{pmatrix} 1 & 2 \ -1 & 3 \end{pmatrix}$.

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Human skeleton consists of \_ bones. A) 226 B) 306 C) 186 D) 156 E) 206

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What fraction is represented by point $ X $ on the number line shown?

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Joe's Copy Center is hiring new employees. Joe knows he has to be patient with the employees until they gain enough experience to meet production standards. Joe knows that in general the first employee takes 40 minutes, and the second job takes 24 minutes. Assume all jobs to be equal in size and all new employees are equally capable of learning. Please use the learning curve definition function to derive your answer. What is the learning-curve percentage, assuming the Incremental Unit-Time method? A. 80% B. 25% C. 66.7% D. 60% QUESTION 30 What is the learning-curve percentage, assuming the Cumulative Average-Time method? A. 25% B. 66.7% C. 60% D. 80% QUESTION 31 What is the total time for a new employee to finish the first 32 jobs with the learning curve percentage using the Cumulative Average-Time method? A. $99.5

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Buffalo Corporation purchased 390 shares of Sherman Inc. common stock for $12,600 (Buffalo does not have significant influence). During the year, Sherman paid a cash dividend of $3.00 per share. At year-end, Sherman stock was selling for $34.00 per share Prepare Buffalo' journal entries to record (a) the purchase of the investment, (b) the dividends received, and (c) the fair value adjustment. (Assume a zero balance in the Fair Value Adjustment account.) (List all debit entries before credit entries. Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.) Mo. Account Titles and Explanation (a) Debit Credit (b) (c)

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Could you please solve part 1 and part 2? I need it urgently. Sketch Vin and Vout, please. Thanks. Objectives: To investigate the operation of CS JFET amplifier and determine the Voltage gain. Components and equipment required: FET Transistor BFW11, RG 100K, Rp 1K, Q, R1K, 2 capacitors, DC supply, Oscilloscope, and A@generator. Procedure: Build the JFET CS Amplifier Circuit. VDD R2 5.0V MM 1k0 IDS C2 HI 100F C1 Vout 91 BFW11 R1 100kQ 100F 0.1Vpk 10KHz 0 VGG 1V VDS 1R3 210 VGS Fig.1. Part One: DC Part I. Measure the DC parts (Without AC source and without capacitors). II. Measure M.VGS, MDS before connecting AC part. III. Compute gm. Part Two: AC Part IV. Add AC parts (AC source, capacitors, and RL). Use Vin with VP 100mV, f-10KHz, VGG-1V. Use Oscilloscope to display Vin and Vout. Compute Voltage Gain.

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2. (10 pts) Positive Feedback Root locus (Nise 8.9) The open loop transfer function for a system in unity feedback is given by: $G(s) = \frac{k(s^2 + 25s - 100)}{s^2 + 15s + 50}$ [2 pts] a) Determine the characteristic equation for the closed loop system. [8 pts] b) Sketch the root locus with respect to negative values of $k$.

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howard g.