Philosophers have argued that our most important value should be happiness,

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  1. Some moral and political philosophers have argued that our most important value should be happiness, while others have argued that it should be freedom. Explain this debate. Make sure to describe the views and reasoning of at least one philosopher on either side and to illustrate the disagreement by giving at least one example of a decision or public policy over which the two sides would disagree.

2. One theme of recent philosophy has been to reclassify certain negative social forces as “structural” problems rather than as negative personal character traits. Sexism is a case in point. What is it to say that sexism is a structural problem? Why does Frye’s theory of sexism count as a structural problem? What are some other social problems that we might similarly want to think of as structural problems in the same way?

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The soundness of one terrorism-related assumption or hypothesis

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Analyze the soundness of one terrorism-related assumption or hypothesis when applied to three different types of cases

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How Social Responsibilities generate business growth for multinational corporations

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Can Corporate Social Responsibilities generate business growth for multinational corporations?

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Precalculus

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A nutritionist is studying the effects of the nutrients folic acid, choline, and inositol. He has three types of food available, and each type contains the following amounts of these nutrients per ounce.

Type A Type B Type C
Folic acid (mg) 4 2 4
Choline (mg) 3 2 3
Inositol (mg) 3 2 4
(a) Find the inverse of the matrix below and use it to solve the remaining parts of this problem.

4 2 4

3 2 3
3 2 4

(b) How many ounces of each food should the nutritionist feed his laboratory rats if he wants their daily diet to contain 18 mg of folic acid, 15 mg of choline, and 17 mg of inositol?

Type A
oz
Type B
oz
Type C
oz

(c) How much of each food is needed to supply 10 mg of folic acid, 9 mg of choline, and 10 mg of inositol?

Type A
oz
Type B
oz
Type C
oz

(d) Will any combination of these foods supply 6 mg of folic acid, 6 mg of choline, and 7 mg of inositol?

THERE IS A COMBINATION OF FOODS GIVING THE REQUIRED SUPPLY.
THERE IS NO COMBINATION OF FOODS GIVING THE REQUIRED SUPPLY.
THIS CANNOT BE DETERMINED.

We have used the Zero-Product Property to solve algebraic equations. Matrices do not have this property. Let O represent the 2 × 2 zero matrix.

O =

0 0

0 0
FIND 2 × 2 MATRICES

A ≠ O and B ≠ O such that AB = O.

×

0 0

9 0
= O

CAN YOU FIND A MATRIX

A ≠ O such that A2 = O?

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