Numerade

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You have a 10 𝜇A current supply. When you connect it across a 150 kΩ resistor, what voltage should you get?

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How to find current for series circuit and voltage for parallel circuit

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Francine is an airline pilot. She lives in Florida, and flies all over the United States. She earned 15% of her pay from flights in California. Choose the correct statement. Group of answer choices Francine’s wages earned while flying around California are taxable by California Francine’s wages are not taxable by California Francine may not fly around California Francine is a resident of California because she spent 15% of her working time there

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A correction of an error must be: Question 13Select one: a. accounted for retrospectively b. ignored c. none of the above d. accounted for prospectively

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SCO 3001 | Fall 2024 | Dr. Hailong Cui | Homework #4 (Decision Tree) Wrong submission = No credit. You may resubmit as late submission (See policy in syllabus). Combine/submit all your work in ONE FILE in the correct order to avoid 50% penalty. [Q1: Decision Tree] Upon graduating, you decide to found a technology startup. You need to raise money right now to build your company up as fast as possible! If all goes well, one year from today, your company will be successful and will be acquired by Google. If Google acquires your company, you estimate that they will pay $10 million dollars to be divided between you and your shareholders. Although startup funding can be a complex topic, for this question we will simplify a lot. Let’s suppose you have three options for raising money right now: 1. You go to Investor 1. Investor 1 is willing to give you $100K of funds right now in return for a 10% equity share in your company. (This means that if you sell your company you have to give him 10% of the profits, but if you go bankrupt, you don’t pay him anything.) 2. You go to Investor 2. Investor 2 is willing to give you $300K of funds right now in return for a 15% equity share in your company. (Again, this means if you sell your company, you have to give her 15% of the profits, but if you go bankrupt, you don’t pay her anything.) 3. You get a line of credit with a bank. The bank is willing to loan you $500K of funds right now, but you must pay back the loan plus 3% interest in 1 year no matter what. In addition, research tells you that startups that have more money early on are more likely to succeed in the long-run. In particular, 1. if you have $100K of funds today, your ultimate probability of success in one year is 10% 2. if you have $300K of funds today, your ultimate probability of success in one year is 12%. 3. If you have $500K of funds today, your ultimate probability of success in one year is 15% a) Draw a decision tree to help you decide which funding option you should choose. COPYRIGHTED MATERIAL, DO NOT CIRCULATE CARLSON S CHOOL OF MANAGEMENT, UNIVERSITY OF MINNESOTA b) Assume that you are only interested in your expected earnings. Solve the tree to find the best funding option. What is your optimal decision?

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Part 2 of 3 Evaluate the limit. $\lim_{n \to \infty} \left| \frac{((n+1)!)^4}{(4(n+1))!} \frac{(n!)^4}{(4n)!} \right| = 0$

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Grandpa cupped his hand behind his right ear like a larger ____ so he could hear better.

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(b) Consider the matrix: $$A = \begin{bmatrix} 7 & 1 & -1 \\ -11 & -3 & 2 \\ 18 & 2 & -4 \end{bmatrix}$$ (i) Find the eigenvalue and the fundamental eigenvectors of A. (ii) Is A diagonalizable? Justify your answer. (c) Find the reduced row echelon form matrix B of the following matrix : $$A = \begin{bmatrix} 1 & 2 & -2 & -11 \\ 2 & 4 & -1 & -10 \\ 3 & 6 & -4 & -25 \end{bmatrix}$$ and then give a sequence of row operations that convert B back to A.

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Problem 2 If \omega is a primitive $n$-th root of unity, calculate Gal($\mathbb{Q}(\omega)$/$\mathbb{Q}$). Calculate the Galois group of the polynomial $x^4 + mx^2 + n$ for $m, n \in \mathbb{Z}$ and the ground field is taken to be $\mathbb{Q}$.

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Millions of copies of transposable elements (or TEs) fill up almost half of the human genome. TEs have become so abundant because ? they are responsible for cytoplasmic male sterility. ? they cause many beneficial mutations. ? they cause chromosomes to fuse. ? they replicate themselves, even though they can be harmful to the organisms where they are found.

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john h.