Numerade

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2. A negatively charged rod is held close to one side of a metal sphere, the other side of the sphere is earthed. Which diagram shows the distribution of charge on the metal sphere? a) A b) B c) C d) D

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Liabilities that will not be due for more than one year are called long-term liabilities. Group of answer choices True False

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How many moles of CaCl$_2$ are in in the solution described below? 250 mL of a 3.0 M of CaCl$_2$ 0.75 mole 83 moles 750 moles 1.3 moles 3.0 moles

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What is the most common factor in the code of ethics for many professional organizations? a. Statistically significant findings from more than one study are considered appropriate evidence. b. Statistically significant findings from more than one study are considered sufficient evidence. c. Not all professionals who are a part of the organization are required to have credentials. d. Information, training, and credentials are based on evidence-based practice.

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Which of the following would accurately describe the lymphatic system? It plays an important role in disease prevention Lymphatic fluid is delivered to the renal system It is also referred to as the complement system The spleen circulates lymphatic fluid.

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A fatty acid that contains double bonded carbon atoms is called a(n) (Fill in the blank) fatty acid.

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Why may cookies be stolen via XSS? Group of answer choices To deprive the server of data. To inject malware into the client. To steal another user's ID. To steal another user's session.

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Find the critical numbers for the function $f(x) = x - 6x + \text{ }$ Determine the critical numbers of the function $g(x) = \frac{2}{x} + \frac{1}{x^2}$ Find the critical numbers for the function $h(x) = e^x + \ln(x)$

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If Jan and Tina both have chequing accounts in the same commercial bank and Jan writes a cheque for $5,000 payable to Tina, what will happen to the bank's accounts? Question 6 options: They will not be affected. Assets and liabilities will both decrease by $5,000. Liabilities will decrease by $1,000, and the bank's equity will increase by $5,000. Reserves and demand deposits will both decrease by $5,000. Demand deposits will increase by $5000 and loans to customers will decrease by $5,000.

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1. (5 points) The fundamental parallelogram associated to a Gaussian integer z is the parallelogram with corners 0, z, iz and (1+i)z with the segments with (1+i)z as a vertex removed. (a) (2 points) Let $z \neq 0$ be a non unit Gaussian Integer. Prove that the Gaussian Integers in the fundamental parallelogram associated to z are a complete residue system modulo z. (b) (1 point) For each one of $z = 1+i$, 3, $1+2i$ write the addition and multiplication table modulo z using as representatives the integers inside the fundamental parallelogram associated to z. Note: The numbers $1+i$, 3, $1+2i$ are prime Gaussian Integers. You can assume this. (c) (1 point) By comparing the tables in the previous part, justify that the integers modulo $1 + i$ and $1+2i$ are exactly the same as the the rational integers modulo 2 and modulo 5. (d) (1 point) Does there exists a rational prime $p$ such that the the integers modulo $p$ are the same as the Gaussian Integers modulo 3?

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chloe u.