Solve the problem.Atomic nuclei consist of protons and neutrons. The number of protons and neutrons in a particular nucleus must fall into a well-defined range of values in order for the nucleus to be stable, else it will be unstable and will disintegrate by radioactive decay. The figure below shows this so-called "region of stability" for nuclei having proton numbers between 10 and 60. Determine a system of linear inequalities that describe the region of stability. Let x represent the number of protons and y represent the number of neutrons.
A. y ? x - 5
y ? 
x + 4
B. y ? x - 5
y ? 
x + 4
C. y ? x - 5
y ? 
x + 4
D. y ? x - 5
y ? 
x + 4
Answer: A
Mathematics
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Rwhere R is the interior of the ellipsoid 
A. 
?
B. 12?
C. 9?
D. 
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Evaluate the integral.
A. 
tan-1 
+ C
B. 
tan-1 4x + C
C. 4 tan-1 
+ C
D. 
tan-1 (x + 4) + C
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Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene.
A. Acute, isosceles B. Obtuse, equilateral C. Acute, scalene D. Obtuse, scalene
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Express the interval in set builder notation and graph the interval on a number line.(-9, 9]
A. {x 
}
B. {x 
}
C. {x 
}
D. {x 
}
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