Numerade

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A nitrogen atom has an atomic number of 7, and an atomic mass of 15. How many protons does Nitrogen have? [Select] How many neutrons does this Nitrogen have? [Select] This atom does not have a charge. How many electrons does it have? [Select]

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4. Prove: Let $A_1, A_2, ..., A_n \in \mathbb{R}^{m \times m}$: a) $(A_1A_2...A_{n-1}A_n)^T = A_n^T A_{n-1}^T ... A_2^T A_1^T$ b) $(A_1A_2...A_{n-1}A_n)^{-1} = A_n^{-1}A_{n-1}^{-1}...A_2^{-1}A_1^{-1}$ if the $A_k$'s are invertible.

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In the field of criminal justice and criminology, race-specific theories of criminal behavior have generally not been developed. True or False

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21. ____ are software systems that learn how users work, and provide assistance in their daily tasks. a. Intelligent agents. b. AI methods. c. Data mining. d. neural networks

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Question 4 (30 points) For the given periodic function $f(x) = |x|, \quad -\pi < x \le \pi$ $f(x + 2\pi) = f(x)$ (a). (7 points) Sketch $f(x)$ on the interval $[-3\pi \quad 3\pi]$. (b). (10 points) Show that the Fourier series of $f(x)$ satisfies $\text{FS } f(x) = \frac{\pi}{2} - \frac{4}{\pi} \sum_{n=1,3,5...}^{\infty} \left(\frac{1}{n^2} \cos(nx)\right)$ (c). (10 points) Based on the result of 4(b), show that $\frac{\pi^2}{8} = 1 + \frac{1}{3^2} + \frac{1}{5^2} + \frac{1}{7^2} + ...$ and $\frac{\pi^2}{6} = 1 + \frac{1}{2^2} + \frac{1}{3^2} + \frac{1}{4^2} + \frac{1}{5^2} + ...$ (d). (3 points) Does there exist some values of x, for which the series fails to converge to $f(x)$? If yes, to what values does it converge at those points? If not, justify your result.

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Q8.The following table describes certain financial results for three companies during 20X2,20X3 and 20X4:[16Marks] 3 Income Before Interest and Taxes 20X2 Oneida Company Thebes Company Albany Company $50,000 50,000 50,000 20X3 Oneida Company Thebes Company Albany Company $30,000 30,000 30,000 20X4 Oneida Company Thebes Company Albany Company $15,000 15,000 15,000 Each company has total assets of S250,000 in each year. Oneida Company has no debt, Thebes Company has $100,000 of debt at an interest rate of 10%,and Albany Company has S150,000 of debt at a 14% interest rate. Thebes and Albany have no other debt or liabilities. Assume no taxes. For each company,and for each year,determine l.The rate of return on total assets. 2.The rate of return on stockholders'equity 3. For each company, and for each year, state whether the company's use of debt leverage is favorable(F),unfavorable(U), or not applicable (NA) to shareholders. To answer the above questions tabulate your final answers in the given format: 20X2 20X3 20X4 ROA(%) ROE% ROA(%) ROE (%) ROA(%) ROE (%) Oneida Co Thebes Co. Albany Co. Analysis 20X2 20X3 20X4 Oneida Co F or U or NA F or U or NA F or Uor NA Thebes Co. F or U or NA F or Uor NA F orU or NA Albany Co. F or U or NA F or U or NA F or U or NA

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OB from the supplier. 4. Sold inventory costing $ for cash. 5. Purchased inventory costing $ on credit terms of /10, net eom. The goods were shipped FOB from the supplier. 6. Sold inventory costing $ on credit terms of /10, net eom. 7. Received payment for the sale made on 6. 8. Paid the amount owed for the purchase made on 3. 9. Purchased inventory costing $ on credit terms of /10, net eom. The goods were shipped FOB from the supplier. 10. Sold inventory costing $ on credit terms of /10, net eom. 11. Received payment for the sale made on 10. 12. Paid the amount owed for the purchase made on 5. 13. Purchased inventory costing $ on credit terms of /10, net eom. The goods were shipped FOB from the supplier. 14. Sold inventory costing $ on credit terms of /10, net eom. 15. Received payment for the sale made on 14. 16. Paid the amount owed for the purchase made on 9. 17. Purchased inventory costing $ on credit terms of /10, net eom. The goods were shipped FOB from the supplier. 18. Sold inventory costing $ on credit terms of /10, net eom. 19. Received payment for the sale made on 18. 20. Paid the amount owed for the purchase made on 13. 21. Purchased inventory costing $ on credit terms of /10, net eom. The goods were shipped FOB from the supplier. 22. Sold inventory costing $ on credit terms of /10, net eom. 23. Received payment for the sale made on 22. 24. Paid the amount owed for the purchase made on 17. 25. Purchased inventory costing $ on credit terms of /10, net eom. The goods were shipped FOB from the supplier. 26. Sold inventory costing $ on credit terms of /10, net eom. 27. Received payment for the sale made on 26. 28. Paid the amount owed for the purchase made on 21. 29. Purchased inventory costing $ on credit terms of /10, net eom. The goods were shipped FOB from the supplier. 30. Sold inventory costing $ on credit terms of /10, net eom. 31. Received payment for the sale made on 30. 32. Paid the amount owed for the purchase made on 25.

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The CEO of Arthrex, Dr. Elise Brewster performed an experiment on a 25 µF capacitor for a new defibrillator project being developed. They charged it with 0.90 x 10?³ J of energy. What is the potential difference across the capacitor? 8.5 V 4.9 V 12 V none of the above 24 V

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3. Using diagrams, illustrate and explain how the efficacy of fiscal policy is dependent upon assumptions about - (a) the existence of a liquidity trap [25 marks] (b) the impact of the permanent income and life cycle hypotheses upon current consumption and consequently the multiplier [25 marks] (c) wealth effects [25 marks] (d) the price elasticity of demand for money and its effect upon the LM curve [25 marks]

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Q5. In your own words, describe the difference of using Lasso regression vs. Ridge regression vs. Simple linear regression for feature selection.

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tiffany m.