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david williams

david w.

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Find $(f \circ g)(x)$ and the domain of $(f \circ g)(x)$ for the functions. $f(x) = \frac{1}{x}$ and $g(x) = \sqrt{x-1}$ Select one: A. $(f \circ g)(x) = \frac{1}{\sqrt{x-1}}$ and Domain: $[1, \infty)$ B. $(f \circ g)(x) = \frac{1}{\sqrt{x-1}}$ and Domain: $(1, \infty)$ C. $(f \circ g)(x) = -\frac{1}{\sqrt{x-1}}$ and Domain: $[1, \infty)$ D. $(f \circ g)(x) = -\frac{1}{\sqrt{x-1}}$ and Domain: $(1, \infty)$

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One reason that ______ encoding is so effective is that it encourages a person to consider long-term goals and thus engage in extensive planning. organizational visual imagery survival semantic

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classify ea ch description of genetic variation jn haploid gametes as a result of random assortment or recombination

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Surface Area In Exercises 69-72, write an integral that represents the area of the surface generated by revolving the curve about the x-axis. Use a graphing utility to approximate the integral. Parametric Equations 69. $x = t^3$, $y = t + 2$ 70. $x = t^2$, $y = \sqrt{t}$ 71. $x = \cos^2 \theta$, $y = \cos \theta$ 72. $x = \theta + \sin \theta$, $y = \theta + \cos \theta$ Interval $0 \le t \le 2$ $1 \le t \le 3$ $0 \le \theta \le \frac{\pi}{2}$ $0 \le \theta \le \frac{\pi}{2}$

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EXAMPLE Use a Relative Frequency Distribution Use the relative frequency distribution in Table 4.8 to determine the a. percent of subscribers who required at least \( 25 \mathrm{~s} \) to download the file. b. probability that a subscriber chosen at random will require at least \( 5 \mathrm{~s} \) but less than \( 20 \mathrm{~s} \) to download the file. Solution a. The percent of data in all the classes with a lower boundary of \( 25 \mathrm{~s} \) or more is the sum of the percents printed in red in Table 4.9 below. Thus the percent of subscribers who required at least \( 25 \mathrm{~s} \) to download the file is \( 69.1 \% \). TABLE 4.9 \( \left.\begin{array}{|c|c|}\hline \begin{array}{c}\text { Download time } \\ \text { (in seconds) }\end{array} & \begin{array}{c}\text { Percent of } \\ \text { subscribers }\end{array} \\ \hline 0-5 & 0.6 \\ \hline 5-10 & 1.7 \\ 10-15 & 4.3 \\ 15-20 & 9.2 \\ 20-25 & 15.1 \\ 25-30 & 19.2 \\ 30-35 & 19.0 \\ 35-40 & 14.9 \\ 40-45 & 9.0 \\ 45-50 & 4.5 \\ 50-55 & 1.5 \\ 55-60 & 1.0 \\ \hline\end{array}\right\} \) Sum is b. The percent of data in all the classes with a lower boundary of \( 5 \mathrm{~s} \) and an upper boundary of \( 20 \mathrm{~s} \) is the sum of the percents printed in blue in Table 4.9 above. Thus the percent of subscribers who required at least \( 5 \mathrm{~s} \) but less than \( 20 \mathrm{~s} \) to download the file is \( 15.2 \% \). The probability that a subscriber chosen at random will require at least \( 5 \mathrm{~s} \) but less than \( 20 \mathrm{~s} \) to download the file is 0.152 . CHECK YOUR PROGRESS 1 Use the relative frequency distribution in Table 4.8 to determine the a. percent of subscribers who required less than \( 25 \mathrm{~s} \) to download the file. b. probability that a subscriber chosen at random will require at least \( 10 \mathrm{~s} \) but less than \( 30 \mathrm{~s} \) to download the file.

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Consider the short-run and long-run Phillips Curves illustrated in the figure below. Assume consumers have rational expectations. Suppose the inflation rate has been 15 percent for the past four years. The unemployment rate is currently at the natural rate of unemployment of 5 percent. The Federal Reserve decides that it wants to permanently reduce the inflation rate to 5 percent and uses monetary policy to do so. Describe the new short-run unemployment rate and inflation rate.

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2. Consider the following code snippet: int numarray[] = { 1, 2, 3, 4, 5}; cout << numarray[1]; cout << numarray[4]; What is the output of the code snippet? A. 15 B. 14 C. 25 D. 04

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2. Protons are H+ that are characteristic of Arrhenius acids. Consider several proposed dissolution mechanisms by acids. a. oxidation of the metal by H+ b. reduction of the metal by the acid anion c. reaction of H+ with a metal carbonate to produce CO2 gas d. reduction of the metal by H+ followed by complexation by the acid anion Which mechanism are correct? [Select]

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3. A country has $120 million of saving and domestic investment of $30 million. What are net exports? (1 mark) a. -$90 million b. $90 million c. $120 million d. $150 million

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6. An invoice amounting to K5,000 was completely omitted from the records. This error is known as A. Complete reversal of entry B. Errors of principle C. Error of commission D. Error of omission 7. Salaries paid by cheque amounting to K700 by paid was debited to the bank account and creddited to the salaries account. This is an error of.... A. Complete Reversal of transaction B. Error of principle C. Error of commission D. Compensating error 8. Which of the following is an internal stakeholder to the financial statements? A. Customer B. Supplier C. Management D. Government 9. Transactions for small items such as purchase of stationery like pens and pencils are best recorded in: A. Bank account B. Cash Account C. Journal D. Petty cash 10. ........is an example of external stakeholder to the financial statements A. Customer B. Management C. Employees such as directors D. Employees such as internal auditors

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