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The point (-24,-7) is on the terminal side of angle \theta . Determine the exact value of the six trigonometric functions of \theta .

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The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 900 voters in the town and found that 29% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 26%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim? Step 5 of 7: Identify the value of the level of significance.

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13-101. The 0.5-kg ball is guided along the vertical circular path $r = 2r_c \cos \theta$ using the arm $OA$. If the arm has an angular velocity $\dot{\theta} = 0.4$ rad/s and an angular acceleration $\ddot{\theta} = 0.8$ rad/s$^2$ at the instant $\theta = 30^\circ$, determine the force of the arm on the ball. Neglect friction and the size of the ball. Set $r_c = 0.4$m. 13-102. The ball of mass $m$ is guided along the vertical circular path $r = 2r_c \cos \theta$ using the arm $OA$. If the arm has a constant angular velocity $\dot{\theta}_0$, determine the angle $\theta \le 45^\circ$ at which the ball starts to leave the surface of the semicylinder. Neglect friction and the size of the ball. Probs. 13-101/102

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Question 17 2 points Save Answer Two boys are playing with cars and both boys want the bigger red car. As one boy reaches for the red car, the other strikes him, knocking it out of his hand and taking the red car for himself. This is an example of emotional aggression. hostile aggression. relational aggression. instrumental aggression.

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Refer to Table 4-3. What is the equilibrium price of gasoline? Oa. $1.20 Ob. $1.10 Oc. $1.30 Od. $1.40

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According to the View: Origin of Life, what was the first organic compound to be created artificially? Plasma Hair Blood Urea

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If one mile is approximately 1606 m, 55 mph is

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\( 8: 53 \) \( \gamma \) p \( m \) Yo \( 40^{\circ} \) 73 \( \leftarrow \) DOC-2024051... OR a) Explain the various energy management opportunities in electric motors. b) Explain the design measures for increasing efficiency in electrical system \( (8) \) \( (6) \) components. Module III a) Explain the different techniques of demand side management. b) An industrial load consists of (i) a synchronous motor of \( 73.5 \mathrm{~kW} \) (ii) induction motors aggregating \( 147.1 \mathrm{~kW}, 0.707 \) power factor lagging and \( 82 \% \) efficiency and (iii) lighting load aggregating \( 30 \mathrm{~kW} \). The tariff is Rs 100 per annum per kVA maximum demand plus 6 paise per \( \mathrm{kWh} \). Find the annual saving in cost if the synchronous motor operates at 0.8 p.f. leading, \( 93 \% \) efficiency instead of 0.8 p.f. lagging at \( 93 \% \) efficiency. OR a) Discuss the importance of peak demand control. Explain the different methods used for that. b) Explain the different types of ancillary services. Module IV a) Discuss the energy saving opportunities in boilers. b) Explain various energy conservation opportunities in furnaces. OR a) What are the energy saving opportunities in waste heat recovery system? b) Explain various types of cogeneration systems. Module V a) An energy audit in a factory indicates that the total electrical consumption per year is Rs. \( 5.5 \times 10^{6} \). By upgrading a few motors with high efficiency motors, a \( 15 \% \) saving in energy can be realized. The additional cost of energy efficient motors is Rs. 4,25,000 and the installation cost is Rs. 80,000. Assuming a 15 year life cycle, is the expenditure justifiable on a minimum return of \( 20 \% \). Conduct an economic analysis using present worth method. Page 2of 3 0400EET424052301 Differentiate between simple pay back period and net present value method. OR Explain what do you mean by Life Cycle Costing approach (LCC). Consider a project which has the following cash flow stream. The cost o \( \mathrm{k} \), for the firm is 10 percent. Calculate the Net Present Value of the propo.

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The life (in months) of a certain computer component has a probability density function defined by f(x)=1/4 e^-x / 4 for x in [0, infty ). Find the probability that a component randomly selected will last between 13 and 20 months?

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Phil sees his shadow on Groundhog Day 6 more weeks of winter will follow. You have measured the average temperature in March across Northeastern states and Midwestern states separately. Specifically, you want to assess whether the average temperature is colder in March if Punxatawney Phil sees his shadow that year compared to years when Punxatawney Phil does not see his shadow (Shadow Seen) in northeastern versus midwestern states (Region). A. Please write out the full ANOVA notation for the test you would run. B. What are the null and alternative hypotheses?

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