Numerade

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) I have a 1.0 L canister that holds 2.0 moles of an ideal gas, and it is placed into a campfire that is 1400 °C. What will the pressure be after the canister heats up? (Don't try this at home!)

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The ____ is an organization of 190 member countries that promotes international monetary cooperation and provides advice, temporary loans, and technical assistance to establish and maintain financial stability. A. OECD B. WTO C. EU D. ASEAN E. IMF

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a shirt and tie together cost $46. the shirt costs $20 more than the tie. what is the cost of the shirt

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G Domestic demand 0 3 5 8 10 Quantity (millions of pipes) The figure shows the market for steel pipes in China (a small country in the world market for steel). The world price of steel pipes is $100 per steel pipe and the Chinese government imposes 40% tariffs on the imported steel pipes. From the above graph, after imposing a 40-percent tariff on imported steel pipes, China imports ______ millions of pipes and the domestic price of steel pipe is ______

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12. Consider the vector field $ \vec{F} = (-y - x, x) $ and closed oriented curve C: $ \vec{r}(t) = (2 \cos t, 2 \sin t) $, for $ 0 \le t \le 2\pi $. Compute the circulation.

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Solve the system of equations. If the system has no solution, say that it is inconsistent. \begin{cases} 4x - 5y = -2 \\ 5x + y = 12 \end{cases} Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. The solution of the system is $x = $ and $y = $ (Type integers or simplified fractions.) B. There are infinitely many solutions. Using ordered pairs, the solution can be written as \{$(x,y)|x = $, $y$ any real number\}. (Simplify your answer. Type an expression using $y$ as the variable as needed.) C. The system is inconsistent.

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5. Let $g: A \to B$ be a function (4 pts.) (a) Define what it means for $f$ to be one-to-one (b) Give an example of how you would explain onto functions to one of your friends who is a non-science major (c) Explain why $f: \mathbb{R} \to \mathbb{Q}$ given by $f(x) = x^2 - 2$ is not one-to-one (d) Prove that the function $f: \mathbb{R} \to \mathbb{R}$ for $f(x) = x^3 + 1$ is one-to-one

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Complete parts (a) through (c) for the following function. f(x) = x? - 12x² + 32 (a) Find intervals where the function is increasing or decreasing, and determine any relative extrema. (b) Find intervals where the function is concave upward or concave downward, and determine any inflection points. (c) Graph the function, considering the domain, critical points, symmetry, relative extrema, regions where the function is increasing or decreasing, inflection points, regions where the function is concave upward or concave downward, intercepts where possible, and asymptotes where applicable. (Use a comma to separate answers as needed. Type ordered pairs.) C. The function has a relative minimum at , but does not have any relative maxima. (Use a comma to separate answers as needed. Type an ordered pair.) D. The function does not have any relative extrema. (b) Find intervals where the function is concave upward or concave downward. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function is concave upward on , but is never concave downward. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. Type your answer in interval notation.) B. The function is concave upward on and concave downward on (Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions. Use a comma to separate answers as needed. Type your answers in interval notation.) C. The function is concave downward on , but is never concave upward. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. Type your answer in interval notation.) D. The function is neither concave upward nor concave downward on any interval.

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11) Use the expected return-beta equation from the CAPM. a. What is the expected return if the risk-free rate is 1%, beta 1.3 and the expected market return 8%? b. What is the risk-free rate if beta is 1.1, the expected return 8.4% and the expected market return 8%? c. What is beta if the risk-free rate is 1%, the expected return 13% and the expected market return 8%? d. What is the expected market return if the risk-free rate is 1%, beta 1.3 and the expected return 13%?

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29) The Board of Directors directed the Asset & Liability Committee to set the range for permissible GAP as a percent of earning assets to be plus or minus 15%. Rate sensitive assets are $30 million, rate sensitive liabilities are $200 million, earning assets are $974 million. If rates subsequently rise sharply: A) The positioning was acceptable per the Board guidelines and was profitable. B) Despite violating the directive, the positioning was profitable. The Committee will be forgiven. C) The Committee was outside the bounds of the directive, lost the bank money, and perhaps their jobs. D) Despite losing money with the positioning, the Committee was within the acceptable range.

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remedios s.