Numerade

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Entry into the market and exit from it force the long-run price to be _____the minimum point on the average total cost curve (ATC) Group of answer choices Higher than Equal to Lower than

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Problem 3. [100] [Use a separate sheet of paper to begin this problem solution] [Please show all work] a] [35] What is the DETERMINANT of $H = \begin{bmatrix} 6 & 4 \\ 2 & 2 \end{bmatrix}$? Show ALL work. b] [65] What is the INVERSE of $\overline{H}$? Show ALL work.

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Find the curvature of $f(x) = 15e^x$ and find the point at which it is a maximum. What is the value of the maximum curvature? Write an expression for the curvature of $f(x) = 15e^x$ $\kappa(x) = $

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Demo 3-6 Journalize transactions, post to T-accounts, and prepare trial balance Ayala Architects incorporated as licensed architects on April 1, 20X5. During the first month of the operation of the business, these events and transactions occurred: Instructions A. Journalize the transactions, including explanations. B. Post to the ledger T-accounts. C. Prepare a trial balance on April 30, 20X5. A. Date Account Titles and Explanation Debit Credit 1. Stockholders invested $18,000 cash in exchange for common stock of the corporation. Apr. 1 1. Hired a secretary-receptionist at a salary of $375 per week, payable monthly. 1 2. Paid office rent for the month $900. 2 3. Purchased architectural supplies on account from Burmingham Company $1,300. 3 10. Completed blueprints on a carport and billed client $1,900 for services. 10 11. Received $700 cash advance from M. Jason to design a new home. 11 20. Received $2,800 cash for services completed and delivered to S. Melvin. 20 30. Paid secretary-receptionist for the month $1,500. 30 30. Paid $300 to Burmingham Company for accounts payable due. 30

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12) Which of the following is not a characteristic of a defined contribution pension plan? A) The benefit of gain or the risk of loss from the assets contributed to the pension fund is borne by the employee. B) The accounting for a defined contribution plan is straightforward and uncomplicated. C) The benefits to be received by employees are determined by an employee's highest compensation level defined by the terms of the plan. D) The employer's contribution to each period is based on a formula.

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A liquid feed at the boiling point of 500 kg mol/h containing 48.5 mol% heptane (A) and 51.5 mol% ethyl benzene (B) is fed to a fractionated tower at 101.32 kPa pressure. A distillate containing 95 mol% heptane and a bottoms containing 2 mol% heptane are to be obtained. Equilibrium data are given below at 101.32 kPa abs pressure for the mole fraction of $n$-heptane $x$ and $y$. Write the $q$-line equation. Calculate the kg moles per hour distillate, kg moles per hour bottoms, minimum reflux ratio $R_m$, and minimum number of theoretical plates at total reflux. \begin{tabular}{|c|c|c|c|c|c|c|} \hline x & 0 & 0.080 & 0.250 & 0.485 & 0.790 & 1.000 \\ \hline y & 0 & 0.230 & 0.514 & 0.730 & 0.904 & 1.000 \\ \hline \end{tabular}

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10.53 A practical voltage source is modeled by an ideal voltage source $V_g$ with an open-circuited effective value of 320 V in series with an output impedance $Z_g = 50 + j100 Omega$. The source feeds a load $Z_l = 200 + j100 Omega$. See Fig. 10-30. (a) Find the average power and reactive power delivered by $V_g$. (b) Find the average power and reactive power absorbed by the load. (c) A reactive element $jX$ is added in parallel to $Z_l$. Find the $X$ such that power delivered to $Z_l$ is maximized.

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(i) An electron in a hydrogen atom is described by the wavefunction \begin{equation*} \Psi(\mathbf{r}) = \frac{1}{\sqrt{2}}(u_{100} + u_{211}). \end{equation*} Using the definitions given below, show that the time-dependent probability density function $|\Psi(\mathbf{r}, t)|^2$ can be written in the form \begin{equation*} 1 - F(r, \theta) \cos(\phi - \omega t) \end{equation*} and hence that the electron appears to rotate around the $z$ axis with a fre- quency of $2.5 \times 10^{15} s^{-1}$. Do not evaluate the function $F(r, \theta)$ explicitly. You may assume that the energy levels of hydrogen only depend on $n$ and are given by $E_n = -13.6/n^2$ eV. [7 marks] (ii) Show that, for the state $u_{100}$ (a) the expectation value of $r$ is $3a_0/2$. (b) the expectation value of $r^2$ is $3a_0^2$. [5 marks] [4 marks] (iii) Hence show that, for the state $u_{100}$, the rms uncertainty in $r$, $\Delta r$ is given by [2 marks] $\sqrt{3a_0^2}/2$ (iv) The ratio $\Delta r / \langle r \rangle$ is smaller for the state $u_{211}$ than it is for $u_{100}$. Why would the correspondence principle lead you to expect this to be the case? [2 marks] [Total 20 marks] You may use the following \begin{align*} u_{nlm} &= R_{nl}(r)Y_{lm}(\theta, \phi) \\ R_{10} &= 2 \left(\frac{1}{a_0}\right)^{3/2} e^{-r/a_0} \\ R_{21} &= \frac{1}{\sqrt{3}} \left(\frac{1}{a_0}\right)^{3/2} \frac{r}{a_0} e^{-r/2a_0} \\ Y_{0,0} &= \frac{1}{\sqrt{4\pi}} \\ Y_{1\pm 1} &= \mp \sqrt{\frac{3}{8\pi}} \sin \theta e^{\pm i\phi} \end{align*} where $a_0$ is the Bohr radius. You may also use the standard integral \begin{equation*} \int_0^\infty y^n e^{-y} dy = n! \end{equation*}

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Draw in unit cubes the crystal planes that have the following Miller indices: (a) (111) (b) (102) (c) (1$\bar{2}$1) (d) (21$\bar{3}$)

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Radical Form Rational Exponent 46. $5^{\frac{2}{3}}$ 47. $5^{\frac{3}{2}}$ 48. $n^{\frac{1}{2}}$ 49. $n^{\frac{5}{7}}$ 50. $n^{\frac{7}{5}}$ A. $\sqrt[5]{n^{7}}$ B. $\sqrt[7]{n^{5}}$ C. $\sqrt[3]{5^{2}}$ D. $\sqrt{n}$ E. $\sqrt{5^{3}}$

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danny c.