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Explain the main goals of conducting a risk assessment for the airport, including identifying contemporary theories or rationale for conducting an analysis.

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Explain the main goals of conducting a risk assessment for the airport, including identifying contemporary theories or rationale for conducting an analysis. Analyze current methods and processes to estimate the likelihood that a security breach or hazard could occur. Evaluate the uncertainty in that estimate and identify potential safety concerns and hazardous situations. Design alternative … Read more

What is the implication of using various inventory costing systems such as FIFO, LIFO, WA, LCM, etc…why a company may use one method over the other?

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What is the implication of using various inventory costing systems such as FIFO, LIFO, WA, LCM, etc…why a company may use one method over the other?  Please check the Internet or ESC Library to find out what companies are using and if they indicated inventory method in their annual report or footnotes? attached to the annual … Read more

Determine the domain and range of the piecewise function. 1. A. Domain [–3, 3]; Range [0, 3] B. Domain [–3, 3]; Range [–2, 4] C. Domain [–2, 4]; Range [–3, 3] D. Domain [–1, 4]; Range [–2, 2] 2. Solve:  x  3 2. A. No solution B. 11/2 C. 5 D. 2, 5 3. Determine the interval(s) on which the function is decreasing. 3. A. (–, –1) B. (– 4.5, – 1) and (2.5, ) C. (–, – 3) and (1, ) D. (– 2, 2) 4. Determine whether the graph of y  8  x is symmetric with respect to the origin, the x-axis, or the y-axis. 4. A. symmetric with respect to the x-axis only B. symmetric with respect to the y-axis only C. symmetric with respect to the origin only D. not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and not symmetric with respect to the origin 5. Solve, and express the answer in interval notation: | 3 – 8x |  21. 5. A. [–9/4, 3] B. (–, 9/4]  [3, ) C. (–, –9/4] D. [–9/4, ) 6. Which of the following represents the graph of 3x  7y = 21 ? 6. A. B. C. D. 7. Write a slope-intercept equation for a line parallel to the line x – 4y = 2 which passes through the point (8, –1). 7. A. y   4x  31 B. y  1 x 1 4 C. y  1 x  3 4 D. y   1 x 1 4 8. Which of the following best describes the graph? 8. A. It is the graph of a function and it is one-to-one. B. It is the graph of a function and it is not one-to-one. C. It is the graph of an absolute value relation. D. It is not the graph of a function. 9. Express as an equivalent expression: log x + log 1 – 4 log y 9.   A.      x  B. log  4    4  x 1  C. log  y    D. log  x 1 4 y  10. Which of the functions corresponds to the graph? 10. A. f  x  e x  2 B. f  x  ex  3 C. f  x  e x  3 D. f  x  ex  3 11. Suppose that a function f has exactly one x-intercept. Which of the following statements MUST be true? 11. A. f is a linear function. B. f (x)  0 for all x in the domain of f. C. The equation f (x) = 0 has exactly one real-number solution. D. f is an invertible function. 12. The graph of y = f (x) is shown at the left and the graph of y = g(x) is shown at the right. (No formulas are given.) What is the relationship between g(x) and f (x)? 12. y = f (x) y = g(x) A. g(x) = f (x – 2) B. g(x) = f (x + 2) C. g(x) = f (x – 4) D. g(x) = f (x) – 2 SHORT ANSWER: 13. Multiply and simplify: (5 + 7i)2. Write the answer in the form a + bi, where a and b are real numbers. Answer: 14. Solve, and write the answer in interval notation: x  4  0 . Answer: x 1 15. A can of soda at 81 F. is placed in a refrigerator that maintains a constant temperature of 38 F. The temperature T of the soda t minutes after it is placed in the refrigerator is given by T(t) = 38 + 43e – 0.058 t Find the temperature of the soda 20 minutes after it is placed in the refrigerator. (Round to the nearest tenth of a degree.) Answer:  1  16. Find the value of the logarithm: log7  49  . Answer: 17. Solve: 86x1  64 . Answer: 18. Suppose $5,400 is invested in an account at an annual interest rate of 3.3% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size? Answer: 19. Let f (x) = x2 + 8x + 9. (a) Find the vertex. Answer: (b) State the range of the function. Answer: (c) On what interval is the function decreasing? Answer: 20. Consider the polynomial P(x), shown in both standard form and factored form. P(x)   1 x3  3 x2  13 x  3   1 (x  3)(x 1)(x  5) 5 5 5 5 (a) Which sketch illustrates the end behavior of the polynomial function? Answer: (b) State the y-intercept. Answer: (c) State the zeros of the function. Answer: (d) State which graph below is the graph of P(x). Answer: GRAPH A GRAPH B GRAPH C GRAPH D 21. Let f (x)  5x . x2  9 (a) State the domain. Answer: (b) State the horizontal asymptote. Answer: (c) State the vertical asymptote(s). Answer: (d) Which of the following represents the graph of f (x)  5x x2  9 ? Answer: GRAPH A. GRAPH B. GRAPH C. GRAPH D. SHORT ANSWER, with work required to be shown, as indicated. 22. Let f (x)  and g(x) = x – 3.  f  (a) Find  (1) . Show work.  g  (b) Find the domain of the quotient function f . Explain. g 23. Points (–1, 0) and (–9, –8) are endpoints of the diameter of a circle. (a) What is the length of the diameter? Give the exact answer, simplified as much as possible. Show work. (b) What is the center point C of the circle? (c) Given the point C you found in part (b), state the point symmetric to C about the x-axis. 24. Find the equation for a line which passes through the points (5, –3) and (2, 9). Write the equation in slope-intercept form. Show work. 25. Nick, a resident of Metropolis, pays Metropolis an annual tax of $60 plus 1.5% of his annual income. If Nick paid $930 in tax, what was Nick’s income? Show work. 26. Let f (x) = 7×2 + 5 and g(x) = x – 3. (a) Find the composite function ( f o g)(x) and simplify. Show work. (b) Find  f o g  (2) . Show work. 27. Find the exact solutions and simplify as much as possible: 2×2 + 3 = 6x. Show work. 28. Given the function f (x)  1 x  6 , find a formula for the inverse function. Show work. 7 29. The fuel efficiency F for a particular car is given by F(x) = –0.016 x2 + 1.44 x + 5.4 where x is the speed of the car in miles per hour (mph) and F(x) is the corresponding fuel efficiency in miles per gallon (mpg). (a) What is the fuel efficiency if the car’s speed is 20 mph? (b) What speed will yield the maximum fuel efficiency? Show work. 30. Solve: x  8  30  0 . Show work.

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Determine the domain and range of the piecewise 1.                Domain [–3, 3]; Range [0, 3] Domain [–3, 3]; Range [–2, 4] Domain [–2, 4]; Range [–3, 3] Domain [–1, 4]; Range [–2, 2]       Solve: = x – 3     No solution B. 11/2 5 -2, 5       … Read more

Discuss the ad strategy most used by this brand and its effectiveness in reaching its target audience. How conspicuously were Maslow’s needs integrated within the ad?

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Discuss the ad strategy most used by this brand and its effectiveness in reaching its target audience. How conspicuously were Maslow’s needs integrated within the ad? Include a summary of the images and branding messages used in the ads and determine the feasibility of persuading or informing viewers about the product. If the ads were … Read more

Analyze why nutrition is important and how it impacts physical and mental health as well as increases our risk for disease if inadequate diets are consumed.

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Analyze why nutrition is important and how it impacts physical and mental health as well as increases our risk for disease if inadequate diets are consumed. Distinguish the six classes of nutrients and explain how they individually and collectively help us to maintain our health status. Discuss the five characteristics of a healthy diet and … Read more

Summarize the main points of both articles in your own words.

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 Summarize the main points of both articles in your own words.     Identify the significant stakeholders (individuals and/or groups) for each side.   How does each side define the problem?  Do they agree on the problem?   What solution to the problem does each side identify?   After reading the competing views, explain which definition of the problem and the solution you … Read more

Identify and explain weaknesses or shortcomings of the theory.

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Identify and explain weaknesses or shortcomings of the theory. What features do you think the theory gets right and what does it get wrong? Explain. Identify and explain important implications of accepting the theory. Analyze the implications of the theory for humanity, society, morality, religion, politics, culture and so forth. Overall, aim at providing a … Read more