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Consider the L-shaped bracket shown in the following figure, where X = 250 N and Y = 250 N. 800 mm C X 200 mm A Y 200 mm B a f Determine the reactions at A and C when \(\alpha = 0\) The reaction at A = \boxed{} N (Click to select) The reaction at C = \boxed{} N \(\angle \boxed{}^\circ\)

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Question 2 (1 point) Listen This is the classical canon that refers to the search for arguments -- the creative elements, or primary ideas driving your speech. Idealization Ideation Invention Inception

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Photosynthesis that results in the production of oxygen is referred to as ______ photosynthesis.

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5. (25 points) Two hyperbolas that have the same set of asymptotes are called conjugate. Show that the hyperbolas \[ \frac{x^{2}}{4}-y^{2}=1 \quad \text { and } \quad y^{2}-\frac{x^{2}}{4}=1 \] are conjugate. Graph each parabola on the same set of coordinate axis.

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4) Consider the function $f(x) = \begin{cases} x+1 & x \le -2 \\ x^2 - 5 & -2 < x < 2 \\ 1-x & x \ge 2 \end{cases}$ a) Sketch a graph of the function $f(x)$ on the graph below, or reproduce the graph on your own paper for making the sketch. b) Is $f(x)$ is discontinuous at $x = \pm 2$? Justify your answer(s).

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The following table shows the relationship between national income and consumption in an economy. National Income ($ Billions) Consumption ($ Billions) 0 5 10 11 20 17 30 23 40 29 50 35 60 41 47 53 59 65 Assume that investment (I) is $5 billion, government spending (G) is $4 billion, and net exports (NX) are $2 billion. Use the table above to calculate the marginal propensity to consume for this economy. 1. Find the level of income at the equilibrium point. 0.7 0.5 0.4 0.6

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13. Let $T: P_4 \to P_2$ be the linear transformation defined by $T(p) = p''(x)$. a) Exhibit a basis for $R(T)$ and conclude that $R(T) = P_2$. b) Determine the nullity of $T$ and conclude that $T$ is not one to one. c) Give a direct proof that $R(T) = P_2$; that is, for $p(x) = a_0 + a_1x + a_2x^2$ in $P_2$, exhibit a polynomial $q(x)$ in $P_4$ such that $T(q) = p$.

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What is the effective annual interest rate of an investment with a 15% nominal interest rate, compounded semi-annually? 14.45% 15.56% 15% 16.18% Save

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Question 7 Not yet answered Marked out of 2.00 Flag question The theory that suggests specialization by country can increase worldwide production is: A. the theory of foreign direct investment. B. the theory of working capital management. C. the theory of comparative advantage. D. the international Fisher effect.

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Young Corporation stock currently sells for $40 per share. There are 1 million shares currently outstanding. The company announces plans to raise $4 million by offering shares to the public at a price of $40 per share. a. If the underwriting spread is 5%, how many shares will the company need to issue in order to be left with net proceeds (before other administrative costs) of $4 million? (Do not round intermediate calculations. Round your answer to the nearest whole number.) Number of shares b. If the under writing spread is 5% and the other administrative costs are $70,000, what is the dollar value of the total direct costs of the issue? (Enter your answer in dollars not in millions. Do not round intermediate calculations. Round your answer to the nearest whole dollar amount.) Total direct costs c. If the share price falls by 3% at the announcement of the plans to proceed with a seasoned offering, what is the dollar cost of the announcement effect? (Enter your answer in dollars not in millions.) Cost of the announcement effect

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