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Find the x-intercept of f(x)=x3+27. (-3, 0) (9, 0) (1, 0) (-7, 0)

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The nitrate isosorbide dinitrate is prescribed for a client with angina. Which instruction should the nurse include in this client's discharge teaching plan? A Do not get up quickly. Always rise slowly. B Increase your intake of potassium-rich foods. C Quit taking the medication if dizziness occurs. D Take the medication with food only.

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For the illustrated pyramid MNOS, find the true size of the dihedral angle formed by plane MNO and plane MNS.

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One of the reasons Carl Rogers was motivated to develop the humanistic theory of personality is that he:

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Cash disbursements schedule Maris Brothers, Inc., needs a cash disbursement schedule for the months of April, May, and June. Use the format given here and the following information in its preparation. Sales: February $615,000; March $498,000; April $552,000; May $601,000; June $634,000; July $638,000 Purchases: Purchases are calculated as 62% of the next month's sales, 11% of purchases are made in cash, 46% of purchases are paid for 1 month after purchase, and the remaining 43% of purchases are paid for 2 months after purchase. Rent: The firm pays rent of $8,010 per month. Wages and salaries: Base wage and salary costs are fixed at $6,300 per month plus a variable cost of 6.8% of the cument month's sales. Taxes: A tax payment of $54,200 is due in June. Fixed asset outlays: New equipment costing $75,000 will be bought and paid for in April. Interest payments: An interest payment of $29,700 is due in June. Cash dividends: Dividends of $12,700 will be paid in April. Principal repayments and retirements: No principal repayments or retirements are due during these months. Complete the cash disbursements schedule for Maris Brothers, Inc. below: (Round to the nearest dollar.) Schedule of Projected Cash Disbursements for Maris Brothers, Inc. Feb Mar Apr May Jun Jul Sales $ 515000 $ 498000 $ 652000 Disbursements Purchases 308760 342240 372620 Cash 40988 1 month delay 2 month delay Enter any number in the edit fields and then click Check Answer. 2 remaining

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Q.1. A 3-bus system is shown below. Bus 1 is the slack (or reference) bus, with buses 2 and 3 being generation and load. Calculate the Y-bus matrix for the system. $Z = .10 \angle 75^\circ$ $P_3(out) = 1.2$ $Q_3(out) = .8$ $Z = .125 \angle 75^\circ$ $V_1 = 1.0 \angle 0$ $y = 10 \angle -75^\circ$ $y = 8 \angle -75^\circ$ $P_2(in) = 100$ $|V_2| = 1.02

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Muscles can only contract, so they occur in pairs. In the arm, the biceps muscle is a flexor—that is, it closes the limb. The triceps muscle is an extensor that opens the limb. This configuration is typical of skeletal muscles, bones, and joints in humans and other vertebrates. Most skeletal muscles exert much larger forces within the body than the limbs apply to the outside world. Many biomechanical systems, such as the elbow joint drawn in (a) below, can be modeled as simple machines. For example, the elbow joint in (a) can be modeled by the rigid frame in (b) to a good approximation. Based on this model, it will become apparent that the input force (i.e., the tension in the biceps muscle) is much greater than the output force (i.e., the force needed to hold the weight). Take the weight of the forearm to be 9-N and the weight of the object as $W = mg$. (a) Determine the tension in the biceps muscle $T_{AB}$ as a function of the weight $W = mg$. (b) Determine the magnitude of force exerted by the forearm on the upper arm at the elbow joint $C$.

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Refer to the circuit in Fig. 12.13 Determine the total average power, reactive power, and complex power at the source and at the load. a + $110\angle0^\circ$ V 5 - j2 ? A $110\angle-240^\circ$ V + $110\angle-120^\circ$ V 5 - j2 ? b B 10 + j8 ? C Figure 12.13 5 - j2 ? C 100 10 + j8 ? 10 + j8 ?

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2. Prove that you can't load two dice in a way such that every sum 2-12 is equally likely to appear in a roll.

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2. In Fig.2: a. Find the transition voltage. b. Sketch $V_o$ with necessary calculation. 10 V -10 V Fig.2 +\\ $V_i$ R1 W 2k$\Omega$ [2+8=10 marks] Si +$V_o$ V1 5 V

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