Find the center of mass of a thin plate of constant density covering the given region.The region between the x-axis and the curve y = 3csc2 x, 
? x ? 
A. 
= 
, 
= 3
B. 
= 
, 
= 2
C. 
= 
, 
= 4
D. 
= 
, 
= 
Answer: B
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Determine whether the specified paradox occurs.A country with two states has 75 seats in the legislature. The population of each state (in thousands) is given by:
A third state is added with 2 additional seats as shown below.
Does the new states paradox occur using Hamilton's method of apportionment?
A. Yes B. No
Find the indicated composite for the pair of functions.Given f(x) = 8x + 11 and g(x) = 3x - 1, find (f?g)(x).
A. 24x + 32 B. 24x + 10 C. 24x + 3 D. 24x + 19
Write the compound statement in words.Let r = "The puppy is trained." p = "The puppy behaves well." q = "His owners are happy."~r ? ~q
A. The puppy is trained or his owners are happy. B. The puppy is not trained and his owners are not happy. C. If the puppy is not trained then his owners are not happy. D. It is not the case that if the puppy is trained then his owners are happy.
Use the circle graph to solve the problem.The circle graph below gives the number of students in the residence halls at the state university.
Write the ratio as a fraction in lowest terms of the number of residents at Adams to the number of students at Dodge.
A. 
B. 
C. 
D. 