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jeremiah lucas

jeremiah l.

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Question 12 During impact between two objects, a high coefficient of restitution indicates that there is not much energy absorbed during the impact and a low coefficient of restitution indicates that the impact absorbs a high amount of kinetic energy. True False

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2 A large sheet, oriented in the x-z plane, is made of two different materials. One layer is $t_1$ thick and has permeability $\mu_1$; the other is $t_2$ thick and has $\mu_2$. Everywhere outside of the sheet $\vec{B} = B_x \hat{x} + B_y \hat{y}$. Express $\vec{B}$ and $\vec{H}$ for all regions.

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A 100 mL bottle is completely filled with a Tc-99m liquid at a concentration of 10 μCi/mL. A technician is working 30 cm from the bottle. Calculate the equivalent dose to the individual for a 1-hour exposure from the gamma radiation using the gamma constant determined in Question 3. Treat the bottle as a point source and ignore any attenuation from the bottle. Express answer in mrem. Express answer in mrem.

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Reais Crisis. The value of the Brazilian reais (BRL or R$) was BRL 1.821.82 to USD 1.001.00 on Thursday January 24, 2008. It then plunged in value to BRL 2.452.45 to USD 1.001.00 on January 26, 2009. What was the percentage change in its value?

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Calculate [OH−][OH−] for each of the following solutions: Part A [H+]=[H+]= 6.2×10−3 MM . Express the molarity to two significant digits.

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A container with volume 50 mL contains \( \mathrm{CO}_{2} \) gas at pressure of 10 atm and a temperature of \( 70^{\circ} \mathrm{C} \). How many grams of the gas are in the container? \begin{tabular}{|c|c|} \hline Gas & \begin{tabular}{c} Molar mass \\ \( k g / \) mole \end{tabular} \\ \hline \( \mathrm{H}_{2} \) & 2.02 \\ He & 4.0 \\ \( \mathrm{~N}_{2} \) & 28.0 \\ \( \mathrm{O}_{2} \) & 32.0 \\ \( \mathrm{CO}_{2} \) & 44.0 \\ \hline \end{tabular} 771.38 g \( 77 \times 10^{-4} \mathrm{~g} \) 0.77 g 3.92 g

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How much money should Shannon invest today in a fund that earns interest at 4.08% compounded quarterly, if he wants to receive $6,250 at the end of every 6 months for the next 6 years?

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Calculate working concentrations of the two antibiotics used in the experiments described (taken from slide). NOTE: Assume the culture volume is 74.25 mL in each case (and not 75 mL as stated on the slide picture).

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3. For each of the English statements below, do the following; i. Define one or more propositional functions and rewrite the English statements using symbolic notation. Assume the universe of discourse is the set of positive integers. ii. Is the statement true? Justify your answer. iii. Write the negation of the symbolic notation, simplifying when possible. iv. Rewrite the negation as an English statement. v. Is the negated statement true? Justify your answer. a) There exists an x and y such that x-y = y-x. b) For every x and y, x-y = y-x. c) For every x and y there exists a z such that x/y = z.

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Consider a continuous-time Markov process with 4 consecutive states (1: mild, 2: moderate, 3: severe, 4: critical) and an absorbing state death (5) where patients can move from state i to j among adjacent states. Also, consider that the patient can die from any state (1, 2, 3, 4). i.e. there is a possibility of immediately transitioning from state 1, 2, 3, 4 to state 5. a) Define Transition Intensity as opposed to transition probability. b) What is a Q matrix and how is it generated? What are the characteristics of the Q matrix (details)? c) Provide a mathematically calculated example of the described system and show how you calculated both the intensities and probabilities. Please don't use any programming software. Provide mathematical answers with detailed explanations.

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