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Given the following, The domain is 

The center of this circle is (x + 3)2 + (y − 1)2 = 16

GivenWhat is g(-2)?

“The only purpose for which power can be rightfully exercised over any member of a civilized community, against his will, is to prevent harm to others. His own good, either physical or moral, is not a sufficient warrant.” Which of the three major ideologies which we studied is illustrated by this quote? Provide reasoning for your answer. Is there a specific principle being described within the ideology being described here?

Which of the following did we discuss as constituting a collective identity, like that associated with nationalism?

What are some of the elements of the growing great power relationship between China and the United States discussed in class?

Proliferation pessimists argue that the acquisition of nuclear weapons by more states will heighten the risks of war for which of the following reasons:  

Write a three-part essay that addresses the following topics.  Mark the start of each section in your response.  Be as thorough and specific as possible in your essay.  The best responses will integrate material from throughout the semester; defend a clear argument; and demonstrate mastery, rather than sufficient or incomplete knowledge, of the content.    Part I (15 points).  How does the threat of war and war itself structure political relationships among great powers?  Be sure to illustrate your general claims by drawing on theoretical content from throughout our course.   Part II (25 points).  Provide multiple examples of the general claims developed in part 1 through an exploration of contemporary relations among the United States, China, and Russia.  To help with this section, you might organize your discussion by responding to the following more specific question:  How have wars or the threat of war shaped recent changes in the political relationships among China, Russia, and the United States?   Part III (10 points).  Draw on the arguments developed in Parts 1 and 2 to offer two sets of policy recommendations to President Trump when he assumes the presidency of the United States again in January of 2025.  These policy recommendations should be designed to enhance the national security of the United States and prevent great power war.  Note:  it is important that these policy recommendations theoretically depend on the claims made in the first two parts of the essay.  No credit will be given for answers that introduce new policy ideas that are unrelated to the content in parts 1 and 2.

Find the range for the group of data items. The range is ___. (Simplify your answer) 14, 19, 22, 23

Find the standard deviation for the group of data items. 5, 6, 7, 8, 9, 11, 17 The standard deviation is ___. round to 3 decimal places