Numerade

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28. An electron is moving horizontally cust in an electins field that points vertically upward. The electric forse on the elestron is A) 7ero. B) upward. C) downwant D) to the west. E) to the cast.

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Which approach to education stresses the importance of skills, talents, and knowledges that focus on current issues?

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a(1). The Consumer Price Index O measures the prices of the basket of goods and services preferred by the typical consumer each month. The market value of the basket of goods is compared to the market value of that basket in the previous month. O measures the prices of a fixed market basket of goods and senvices that is bought by a typleal consumer. Ihe market value of the basket of goods is compared to the market value of that basket in a base year. O measures the prices of the basket of goods and services preferred by the typical consumer each year. The market value of the basket of goods is compared to the market value of that basket in the previous year. measures the prices of a fixed market basket of goods and services that is bought by a consumer selected by the government. The market value of the basket of goods is compared to the market value of that basket in a base year.

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Statement Reason 1) 1. (~pvq)?w 2) ~pvq 2. Cond. Eq. (1) ~rvc 3) 3. 4) 4. p?q (sv~r)?~w 5) (sv~r)?~w 5. Premise 6) 6. ?.?. (4)(5) c 7) 7. 8) r 8. C.S. (7) 9) 9. 10) c 10. D.S. (8)(9)

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3) Consider the recursive system given by $y[n] = \frac{1}{12}y[n-1] + \frac{1}{12}y[n-2] + x[n] - \frac{1}{2}x[n-1]$. a) Find $H(z)$ for the system. b) Find $h[n]$ for the system.

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A 0.130 kg sample is placed in a cooling apparatus that removes energy as heat at a constant rate of 2.31 W. The figure gives the temperature T of the sample versus time t. The temperature scale is set by $T_s = 30^\circ C$ and the time scale is set by $t_s = 20$ min. What is the specific heat of the sample?

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5. Check whichever applies to given claims. Explain your answers. The Minimum Spanning Tree of a connected weighted graph with 100 edges always a. Contains the least weight edge Yes No b. Contains 2 least weight edges Yes No c. Contains 3 least weight edges Yes No d. Has at least 14 edges Yes No e. Has at least 15 edges Yes No

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290 CHAPTER 8: CHOOSING THE BEST ALTERNATIVE EXAMPLE 8-4 A pressure vessel can be made out of brass, stainless steel, or titanium. The first cost and expected life for each material are: Brass Stainless Steel Titanium Cost $100,000 $175,000 $300,000 Life, in years 4 10 25 The pressure vessel will be in the nonradioactive portion of a nuclear power plant that is expected to have a life of 50 to 75 years. The public utility commission and the power company have not yet agreed on the interest rate to be used for decision making and rate setting. Build a choice table for the interest rates to show where each material is the best.

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The indicated function $y_1(x)$ is a solution of the associated homogeneous equation. $y'' - 9y' + 8y = x$; $y_1 = e^x$ Let $y = u(x)y_1$ and $w(x) = u'(x)$. Use the method of reduction of order to find a second solution $y_2(x)$ of the homogeneous equation and a particular solution $y_p(x)$ of the given nonhomogeneous equation. Find the integrating factor of the associated linear first-order equation in $w(x)$. $\int P(x)dx = e^{-7x}$ Find the derivative $u'(x)$. $u'(x) = $ Find $y_2(x)$ and $y_p(x)$. $y_2(x) = \frac{e^{8x}}{7}$ $y_p(x) = \frac{x}{8} + \frac{9}{64}$

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? A bird flies 8.64 meters above a pond. A fish swims below the bird at - 1.78 meters from the surface of the water. How many meters apart are the bird and the fish? Record your answer on the grid. Then fill in the bubbles.

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kristen f.