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For the given composite function, identify the inner function, u = g(x), and the outer function, y = f(u). (Use non-identity functions for f(x) and g(x).) y = 31 + 7x (f(u), g(x)) = 3√u,1+7x Find the derivative dydx . dydx =

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What are the degree and leading coefficient of the polynomial? $18 - 15u - 5u^7 + 2u^2$ Degree: Leading coefficient: -5

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8. [14 pts] Consider the complex numbers z1 = 1 − i √ 3 and z2 = 1 − i. Leave any square roots in your answers below when necessary. (a) Write −3i z2 in the form a + ib. (b) Calculate z1 − z2. Give your answer in the form a + ib. (c) Calculate the product z1z2. Give your answer in the form a + ib. (d) Calculate the quotient z1/z2. Give your answer in the form a + ib. (e) Find the polar form r(cos θ + isin θ) of z1 and z2 by computing their r and θ value. (f) Calculate the product z1z2 in polar form. (g) Calculate the quotient z1/z2 in polar form

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Suppose Shell has agreed to sell 1 million barrels of crude oil to Pacific Gas & Electric (PG&E) Company in February 2021 at a price decided on February 15.Suppose the current price of crude oil is $50 per bbl and the price of futures contract for February delivery is $51.How would a short hedge help Shell?

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Jim is at the farmers’ market. Strawberries are either ‘good’ or ‘bad’, with equal chance of each, based on how quickly they will spoil—sellers know which type of strawberries they are selling, but Jim cannot verify the quality of strawberries before buying. Jim would pay $12 for a container of strawberries that ● Information economics ● asymmetric and imperfect information ● adverse selection ○ hidden type ● signaling and credible signals ● incentive contracts ● moral hazard ○ principal-agent model ○ hidden action ● contract theory ● actuarially fair price Actuarially fair price: Break even point, ie set price equal to the average cost/damage he knew were good, but only $5 if he knew they were bad, because he might not be able to enjoy them before they spoil. What’s the most that Jim would be willing to pay for a container of strawberries? Under what conditions might this situation end up with an ‘adverse selection’ of strawberries being offered for sale? Explain what that means in simple terms. Say good strawberries spoil quickly 10% of the time, and bad strawberries spoil quickly 50% of the time. Consider a money-back guarantee: if the strawberries spoil quickly, you can return them for a full refund. Can this guarantee be a credible signal of the quality of strawberries? Why or why not

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in C program Create a random number between 0 and 9. Ask a user to guess a number between 0 and 9. Allow the user to make guesses until they get the right answer. If the user's guess is lower than the number or higher than the number, let them know by displaying that information after each guess. Display the number of guesses the user has made after each guess.

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Tasir is typically regarded as an advanced level English learner because... She can express her opinion using complex structures. She can write perfect English for all academic purposes. She has native-like proficiency in conversational English. She can use academic language without major difficulties.

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Multiple Choice Question In the alternation of generations life cycle, the gametophyte is Blank______, while the sporophyte is Blank______. Multiple choice question. multicellular; unicellular haploid; diploid diploid; haploid unicellular; multicellular

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I attached the Excel Data in the photo on the right. Word File Edit View Insert Format Tools Table Window Help AutoSave OFF ... Q 000 AutoSave OOFF v Home Insert >> Tell me comments /Editing Share Home Insert Draw Page Layout Formula Co For cel 0 Paste Font Paragraph Styles Dictate Sensitivity Editor Crea Ar Clipboard Font Alignment Number Chapter 10 F12 X V fx 1. Scott Ice Cream Company is a fast growing ice cream shop. lce cream sales are dependent on multiple factors. We want to investigate the relationship between ice cream sales and the temperature. The Ice Cream Sales tab in the Ch 10 HW Excel file shows temperature and unit sales over 20 days. Answer the following questions. A Day 1 2 3 B C Temperature Sales 20 68 22 66 21 75 23 81 25 26 78 28 85 30 88 30 95 35 06 39 82 38 80 26 76 26 74 24 73 24 73 20 77 18 68 19 60 20 D E F G 2 3 4 5 6 7 a. Develop a scatter chart for these data with temperature as the independent variable and describe what the scatter chart indicates about the relationship between temperature and sales? 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 .. Develop an estimated regression equation showing how sales is related to temperature. What is the estimated regression model equation? C. How much of the variation in the sample values of sales does the model estimated explain (what is R2)? Is the model a good fit? d. What is the correlation between sales and temperature? e. Based on Significance F,is the model a good fit overall? f.EXTRA CREDIT:Predict the sales of ice cream if the temperature is 86 2. Auto Champions provides a variety of vehicles. MPG is impacted by a variety of factors with engine size being one of them. We want to investigate the relationship between MPG and engine size. The Auto Champions tab shows MPG and engine size for 15 vehicles. Answer the following questions. 30 a. Develop a scatter chart for these data with engine size as the independent variable and describe what the scatter chart indicates about the relationship between engine size and MPG? 34 b. Develop an estimated regression equation showing how MPG is related to engine size. What is the estimated regression model equation? Ice Cream Sales Auto Champions Use the mouse to apply the copied format to another obje C. How much of the variation in the sample values of MPG does the model estimated explain (what is R2)? Is the model a good fit? d. What is the correlation between MPG and engine size e. Based on P-value, is engine size statistically significant? f. EXTRA CREDIT:Predict the MPG if engine size is 280 Page 1 of 1 Focus i = + 101%

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Fall 2022-2023 Chapter 2: Static of Particles Homework #2 Question #1 Two cables are tied together at C and are loaded as shown. Draw the Free Body Diagram and determine: A) the tension in cable AC, B) the tension in cable BC. Question #2 Two forces of magnitude $T_A = 9$ kips and $T_C = 6$ kips are applied as shown to a welded connection. Knowing that the connection is in equilibrium, determine the magnitudes of the forces $T_B$ and $T_D$. Question #3 Two cables are tied together at C and loaded as shown. Knowing that $P = 1$ kN, draw the Free Body Diagram and determine: A) the tension in cable AC, B) the tension in cable BC. Question #4 A movable bin and its contents have a combined weight of 5 kN. Determine the shortest chain sling ACB that can be used to lift the loaded bin if the tension in the chain is not to exceed 10 kN.

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