Numerade

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Can Congress erect Courts? That is, make a Law directing that a Judge shall sit at certain places, at certain times, before whom Causes or Criminals shall be tried? Yes, Congress may appoint as many Courts as it thinks fit; but they must all be inferior to the Supreme Court of the United States. No, Congress can only pass laws that impact the Legislative branch in order to maintain the proper separation of powers. Yes, Congress may appoint as many Courts as it thinks fit; including altering the powers of the Supreme Court of the United States. No, Congress has no power to interfere with the Courts in order to maintain the proper separation of powers.

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Perform the indicated operations, then simplify. \frac{5y}{y+10} + \frac{8y^2}{y^2-100} - \frac{9}{y-10} \frac{13y^2-59y+90}{(y-10)(y+10)} \frac{8y^2+5y-9}{(y+10)(y-10)} \frac{8y^2+5y-9}{y^2+2y-100} \frac{13y^2-59y-90}{(y+10)(y-10)}

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5. Fill in the table below for these three mirrors. You don't need to show work. (120 points) Mirror Type Focal length, $f$ (m) Image distance, $s_i$ (m) Object distance, $s_o$ (m) Magnification, $m$ Real Image? (Y/N) Inverted Image? (Y/N) Scenario A Concave +0.20 +0.30 Scenario B Scenario C -0.12 +0.10 +1 +0.5 No No

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a b C Question Answer Solve 5(x + 4) = 2(30 - x) 5x + 9 = 60 - 2x 5x - 2x = 60 + 9 3x = 69 69 3 X = 23 Use the answer, x = 23, to show that Cain's working is incorrect. Work through Cain's working and explain all the mistakes he has made. Work out the correct answer, and show how to check that your answer is correct.

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7. What will the following code display? def show_values(a=0, b=1, c=2, d=3): print(a, b, c, d) show_values(c=99) a. 0 1 3 99 b. 0 1 99 3 c. 99 d. The code is invalid

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(b) Which of the following are examples of state function (i) Your bank balance (ii) The amount of money you are acquiring (iii) The distance from ground floor to an office on the 5th floor

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1. Given that $f(x) = 2x + \sin^{-1}(x - 1)$ is one-to-one, find $(f^{-1})'(2)$. 2. Find the derivatives of the following functions: (a) $y = 4\arccos 2x$ (b) $y = \arcsin(3x)$ (c) $y = \log_5(4 + \sin x)$ (d) $y = (x + \ln x)^2$ 3. Find the linearization $L(x)$ of the function $f(x) = \sec^{-1} x$ at $x = 2$, and approximate $f(2.01)$. 4. Let $y = \cos(3\pi x) + x^3$. If $x$ changes from 1 to 1.02, approximately how much does $y$ change?

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Question 3 [25 marks] a) On the diagram provided in the Answer Book, draw a line across each peptide bond in oligopeptide 3a. Write the single-letter sequence in the space provided. [6 marks] b) On the diagram provided in the Answer Book, CIRCLE all the chiral centres in oligopeptide 3a. [4 marks] c) Complete the Table in the Answer Book to indicate, for oligopeptide 3a, the charges on ionisable groups and the net overall charge at pH 7 and at pH 11. [4 marks] d) What moieties within oligopeptide 3a are those mainly responsible for the formation of an alpha-helix? Name the process that leads to the unfolding of the alpha helix to yield a random coil. [3 marks] e) Complete the Table in the Answer Book to indicate, for oligopeptide 3a, which amino acid side chains will be involved in: hydrophilic interactions, hydrophobic interactions, disulphide bridges and salt bridges. In each case, briefly justify your choice. [8 marks] 3a NH? H?N SH 0 NH NH NH OH H?N NH NH NH OH HO

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(a) The height X of adult males in a town is normally distributed with mean 165 cm and variance 10 cm. If an adult is randomly chosen from the town, what is the probability that his height is between 162 cm and 168 cm? (b) Assume that the random variable X have a beta distribution with PDF $f(x) = kx^3(1-x)^4$, $0 < x < 1$, 0 otherwise. Determine the value of k

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[Q: 9-9292960] Protected Trade Policies. The figure to the right shows the United States' domestic market for a particular good. Suppose that this market is currently operating under an open-trade policy where the domestic price is $P_W$. To help domestic producers, policy makers could impose a tariff to increase the domestic price from $P_W$ to $P_{TAR}$ or they could reach that same domestic price by imposing an import quota that wouldn't allow more than $Q_D - Q_{TAR}^S$ units to enter the country. Which of the following statements is true regarding the domestic welfare impact of these two policy options when comparing them to an open-trade policy? (Select all that apply). Note: there is no partial credit on this question. A. An import quota creates a DWL equal to Area FGHI B. Consumer surplus would decrease by Area EFGHI C. PS is lower under the import quota than the tariff. D. The tariff would create a smaller DWL than the import quota. E. Government revenue is the same under either policy.

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ryan h.