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Jane can produce 70 Quilts or 45 dozens of cookies in a month. William can produce 50 Quilts or 30 dozens of cookies in a month. Distinguish between comparative advantage and absolute advantage. \_\_\_\_\_\_\_\_\_ has an absolute advantage in both goods. A. Neither B. Jane C. William D. Both \_\_\_\_\_\_\_\_\_ has a comparative advantage in Quilts. \_\_\_\_\_\_\_\_\_\_ has a comparative advantage in dozens of cookies. A. William; Jane B. William; William C. Jane; William D. Jane; Jane

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4. Refraction is a concept describing how light ray is bent as it goes from one medium to another. The index of refraction, provided by Snell's Law, is defined as $ I=\frac{\sin \theta_{1}}{\sin \theta_{2}} $ where $ \left\{\begin{array}{l}\theta_{1}=\text { Incidence Angle } \\ \theta_{2}=\text { Refraction Angle }\end{array}\right. $. You are conducting an experiment and you made the following measurements: $ \left\{\begin{array}{l}\theta_{1}=60^{\circ} \\ \theta_{2}=45^{\circ}\end{array}\right. $. However, the measurement instrument that you used has a possible error up to $ 1.5^{\circ} $. Estimate the \% error in your index of refraction calculation (Note: Review Lecture Note 23 for the concept of \% error).

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Which statement accurately articulates the difference between big data and small data?

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The Oath of the Horatii (1784) was painted by the French artist Jacques-Louis David in which style? Neoclassical Romantic Realist Impressionist

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The first sign of activity at Mt. St. Helens was a series of small earthquakes that began on: Group of answer choices Oct. 19, 1979 Jan. 1, 1980 Sept. 12, 1980 March 16, 1980

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The upper boundary of the budget set is the indifference curve. origin. budget line. vertical intercept.

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Deeper tissues have a In general, is associated with lower microbial diversity. In general, diversity of microbes than is found on the skin. present. temperature in specific body regions under normal (healthy) circumstances The occurrence of opportunistic infections is moisture levels are associated with lower microbial diversity. The likelihood of colonization by skin pathogens is unbroken skin. The occurrence of colonization by pathogens is H. pylori, bacteria that live in the stomach, thrive in Bacteria in the small intestine thrive in in immunocompromised patients. when the normal microbiota are in mucous membranes than in pH than skin microbes. pH than stomach bacteria.

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Recursive Series Example Give a recursive definition for the sequence: 2, -6, 18, -54, 162, -486, ... Solution Each term is -3 times the previous term; for example 18=-3(-6) and -54 = -3(18). Thus, a recursive definition is $s_n = -3s_{n-1}$ for $n > 1$ and $s_1 = 2$. Exercise: A) Find a formula for $s_n$, $n \ge 1$ for 1/2, -1/4, 1/6, -1/8, 1/10,.... B) Find a recursive definite for the sequence 1, 2, 3/2, 5/3, 8/5, 13/8,... using the format above with $s_n$.

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8. Let $R$ be the ring of all matrices with integer entries of the form \begin{equation*} \left\{ \begin{bmatrix} b & a \\ a & b \end{bmatrix} : a, b \in \mathbb{Z} \right\}.\end{equation*} Show that \begin{enumerate} \item $R$ is commutative. \item the mapping $\phi : R \to \mathbb{Z}$ given by \begin{equation*} \phi \begin{bmatrix} b & a \\ a & b \end{bmatrix} = a + b \end{equation*} is a homomorphism.\end{enumerate}

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17) Assume initially this firm is at point A. The following would be a reason for a movement to point B. K A B I1 I2 L A) Wages go down and per unit capital cost go up. B) Output decreases. C) Both wages and per unit capital costs go down. D) Wages go up and per unit capital costs go up. 18) Once we enter the region of diminishing returns, total variable cost A) increases at a decreasing rate. C) decreases at a decreasing rate. B) decreases at an increasing rate. D) increases at an increasing rate.

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richard v.