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Quadrilateral KLMN is similar to quadrilateral OPQR. Find the measure of side PQ. Round your answer to the nearest tenth if necessary. NK 59 ML 30 RO 13

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(2x^(2)+11x+5)/(2x^(2)-7x-4)*(x^(2)-16)/(3x-15)

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The H-Q of a centrifugal pump is shown below: \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline \begin{tabular}{c} H \\ $ (\mathrm{m}) $ \end{tabular} & 22.5 & 22.0 & 20.9 & 19.0 & 16.3 & 12.7 & 7.7 & 0 \\ \hline \begin{tabular}{c} Q \\ $ (\mathrm{m3} / $ \\ $ \mathrm{s}) $ \end{tabular} & 0 & 0.05 & 0.10 & 0.15 & 0.20 & 0.25 & 0.30 & 0.35 \\ \hline \end{tabular} Ex.... Both pumps are installed together and are required to pump water through a pipe 150 mm diameter having $ \lambda=0.02 $. Calculate the heads under which pumps are working and discharge in litres per second pumped by them if: a) The pumps are connected in series: static lift is 65 m and the suction and the delivery pipes are 800 m long b) The pumps are connected in parallel: static lift is 15 m and the suction and the delivery pipes are 360 m long

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Darwin's proposal that organisms with heritable characteristics that make them more likely to survive and reproduce in their particular environment will, on average, have a better chance of passing those characteristics on to their own offspring is called: Intelligent design Natural selection Asexual reproduction Spontaneous generation

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If I am volunteer ing to handle a task, Am I a leader or a follower? 1. volunteering to handle task 2. set example 3. exhibiting loyalty 4. walk the talk 5. offering suggestions for improvement 6 . willing to serve 7. delegate work 8. does not afraid to confront changes 9. learn to appreciate 10. be patient 11. proact ive in developing excellence 12. working effectively as a member 13. does not sacrifice personal integrity 14. feels a sense of personal respect understands where they are coming 15. Bunos TRUE or FALSE Direction: Write TRUE if you agree with the statement, FALSE if the statement is Wrong. 1. A servant leader put his own concern, motives, and interests first and foremost above the others. 2. An efficient leader sets himself/herself as an example. 3. Leaders are to serve others. 4. Leaders want followers who seek to enhance their own growth and development rather than depending on the leader to do it. 5. Effective follower feels a sense of personal responsibility and ownership for his or her own behavior in the organization. 6. Effective follower does understand the needs of the organizations. 7. Effective leaders listen deeply to others and emphasize with people around. 8. Great leaders get easily annoyed and cannot hold temper if untoward incident happens. 9. In leading a team or organizations, a great leader divide works depending on the length of service in the company. 10. Effective follower does not feel the sense of owner ship and responsibility for his/her own behavior. 11. Effective followers view the struggle of change and transformation as a mutual experience shared by all members, support the leader and does not afraid to confront the changes. 12. Effective leaders should be guided by their own duties and responsibilities. 13. Effective leader should not be proactive in guiding, teaching, and developing excellence in everyone. They must do their own initiative 14. A leader's job becomes smoother when he or she has followers who are positive and selfmotivated 15. Effectiveleaders must know how to appreciate members. It can boost their motivation to work. TEST II. Enumeration. Enumerate the following. 1-12-Roles of an Efficient Leader that can influence people 13-19-- Role of an Effective Follower that Leaders Need

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For each of the following, isolate \textit{y} and enter the right side of the equation in the answer box. If your answer is $y = \frac{1}{2}(x + 3)$, enter $\frac{1}{2} \times (x + 3)$ in the answer box. Keep all coefficients exact. a) Find the equation of the line that passes through the point $(3, 5)$ and is parallel to the line joining the points $(-6, -4)$ and $(4, -6)$. $y = $ b) Find the equation of the line that contains the point $(6, -4)$ and is perpendicular to the line $-7x + 5y = 6$. $y = $

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A single card is drawn from a standard deck of cards. Find the probability if the given information is known about the chosen card. A face card is a jack, queen, or king. P(face card|jack)

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You will choose one concept from the list of choices and identify how you can use that concept to foster your friendships. Your response should include a clear and detailed discussion of the concept and how to apply it. In your response, name the concept, define it in your own words, and explain how the concept can be applied to foster your friendships. CONCEPTS: sociocultural perspective placebo effect dopamine defense mechanism (choose one) adolescent egocentrism

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The management of Blossom Company asks your help in determining the comparative effects of the FIFO and LIFO inventory cost flow methods. For 2022, the accounting records show these data. Inventory, January 1 (13,500 units) $ 47,250 Cost of 125,000 units purchased 488,300 Selling price of 103,000 units sold 788,000 Operating expenses 125,000 Units purchased consisted of 38,000 units at $3.70 on May 10; 59,000 units at $3.90 on August 15; and 28,000 units at $4.20 on November 20. Income taxes are 26%. (a) Prepare comparative condensed income statements for 2022 under FIFO and LIFO. (Round answers to 0 decimal places, e.g. 5,125.) Blossom Company Condensed Income Statements For the Year Ended December 31, 2022 FIFO LIFO $ 788000 $ 788000 Sales Cost of Goods Sold Beginning Inventory 47250 47250 Cost of Goods Purchased 488300 488300 Cost of Goods Available for Sale 535550 535550 Less Ending Inventory 432250 100900 Cost of Goods Sold 103300 434650 Gross Profit 684700 353350 Operating Expenses 125000 125000 Income before Income Taxes Income Tax Expense Net Income/(Loss) $ $

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Text: Answer Question Y(s) The transfer function: U(s) s+10s=4 is minimum phase (s+3)(s+4)(s+5) Y(s) (s+2)(s=4) The transfer function: is BIBO stable U(s) (s+3s=4s+5 It is desired to use the Lyapunov equation: TA-FT= lc to solve for the observer feedback gains l = T-17 if the eigenvalues of the error system are to be set at {-40, -40}. We know {A,c}. Which of the following would you choose for F and I -1600 c) either will work d) neither is a good choice A non-minimum realization {A,B,C,D} is transformed into Kalman Controllable form =[+[ y=[CcCc]+Du Gs=Csl-A-1Bc+D computed from the controllable subsystem is a minimum realization, since it is controllable and observable Given Sylvester's Resultant, S and the equation Sx= 0. Where S is formed from the numerator and denominator coefficients of a transfer function G(s). The vector x contains the coefficients of the coprime factors provided|s|0 A non-minimum realization {A, B,C,D} is transformed into Kalman Controllable form -[+[ ly=[CcCe]+Du Both transfer matrices: G(s) = C(sI - A)-1B + D that of the original realization and Gs= Csl-A-1B+D from the controllable subsystem have identical minimum realizations

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jessica s.