Use roster notation to write the set.The set consisting of the first 5 even natural numbers
A. {0, 2, 4, 6, 8}
B. {1, 3, 5, 7, 9}
C. {2, 4, 6, 8, 10}
D. {1, 2, 3, 4, 5}
Answer: C
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Solve the equation by completing the square.x2 - 4x - 7 = 0
A. {-2 - 
, -2 + 
}
B. {4 - 
, 4 + 
}
C. {2 - 
, 2 + 
}
D. {2 - 
, 2 + 
}
Answer the following statement(s) true (T) or false (F)
1. A sphere is a polyhedron. 2. The bases of a right regular prism may be congruent, parallel hexagons. 3. The lateral faces of a right square pyramid are isosceles triangles. 4. If there are 1.057 quarts in one liter and four quarts in one gallon, then there are 4.228 liters in one gallon.
The 1980s saw a trend toward old-fashioned punitive deterrence as opposed to the more liberal penal policies and community-based corrections popular in the 1960s and early 1970s. As a result, prisons became more crowded, and the gap between the number of people in prison and the prison capacity widened. The number of prisoners (in thousands) in federal and state prisons is approximated by the function
?
?
where t is measured in years, with t = 0 corresponding to 1983. The number of inmates for which prisons were designed is given by
?
?
where C(t) is measured in thousands and t has the same meaning as before. Find an expression that shows the gap between the number of prisoners and the number of inmates for which the prisons were designed at any time t.
What will be an ideal response?
Evaluate using a calculator. Round your answer to the nearest ten-thousandth.log827.69
A. 3.4613 B. 1.5971 C. 0.6261 D. 1.4423