Numerade

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5. Enlist the properties of region of convergence (ROC) and determine the inverse z transform of the function $H(z) = \frac{1+0.1z^{-1}}{1-2.05z^{-1}+z^{-2}}$

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Express the solution in interval notation. \[ 3 x^{2}+2 x-21 \leq 0 \] $ \left[-3, \frac{7}{3}\right] $ Ø $ (-\infty,-3] \cup\left[\frac{7}{3}, \infty\right) $ $ (-\infty,-3] \cap\left[\frac{7}{3}, \infty\right) $ $ (-\infty, \infty) $ $ (-3,7) $

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10. On Jan. 1, 20x1, Parya Co. received a 3 -year, $ P 900,000 $ noninterest-bearing note receivable due as follows: P400,000 on Dec. 31, 20x1, P300,000 on Dec. 31, 20x2, and $ \mathrm{P} 200,000 $ on Dec. $ 31,20 \times 3 $. The prevailing rate of interest for this type of note is $ 10 \% $. How much is the carrying amount of the receivable on Dec. 31, 20x1? a. 467,354 b. 438,016 c. 376,345 d. 428,346

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Which of the following is not included in the income approach to calculating GDP? (A) Payments to an active duty Army personnel (B) Rental income a landowner receives from a farmer using the land. (C) Profits earned by Apple Corporation. (D) Social Security disability payments

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You hammer a nail into a tree trunk 2 meters above the ground. The tree is currently 5 meters tall and grows taller at a rate of 1 meter per year. How far above ground level will the nail be in 10 years? Group of answer choices 5 meters 15 meters 2 meters 20 meters

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When a firm uses 100 workers and 20 units of capital, it produces 80 units of output; when it uses 101 workers and 21 units of capital, it produces 130 units of output; and when it uses 100 workers and 21 units of capital, it produces 105 units of output. The marginal product of capital for the 101 Superscript st unit is ▼

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Q4: Which of the following organisms would you expect to have the highest assimilation efficiency? A) Grasshopper (eats leaves) B) Shrew (an insectivore) C) Deer (eats leaves, twigs) D) human E) Wolf (a carnivore)

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(a) Use loop analysis to determine the output voltage $V_o$ in the circuit shown in Fig. 2. (b) What is the output power $P_{out}$?

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CDB1033/CEB1053 2. A wastewater is temporarily stored in a holding tank before treated by using a vertical cylindrical chromatographic packed column, in which the liquid flows from the bottom to the top. The column is filled with spherical particle packings. Design the chromatographic packed column to achieve a pressure drop of not exceeding 300kPa. State ALL assumptions used and provide details calculation. [50 marks]

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Q3. Assuming that in a freezing material the layer of liquid is small. Neglecting heat stored in material find the solidified layer as function of time. Determine the temperature distribution inside the frozen layer.

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matthew b.