Solve the problem.The half-life of carbon-14 is 5700 years. Find the age of a sample in which 8% of the radioactive nuclei originally present have decayed.
Fill in the blank(s) with the appropriate word(s).
686 years
Mathematics
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Change the given polar coordinates (r, ?) to rectangular coordinates (x, y).
A. (-6
, -6
)
B. (3
, -3
)
C. (-3
, -3
)
D. (3
, -3)
Mathematics
Name the curve with the given polar equation. If it is a conic, give its eccentricity.r = 
A. Horizontal hyperbola; e = 2
B. Horizontal ellipse; e = 
C. Vertical ellipse; e = 
D. Vertical hyperbola; e = 2
Mathematics
Assume that the sequence converges and find its limit.a1 = -3, an + 1 = 
A. 8 B. -9 C. -3 D. 4
Mathematics
Find the absolute value of the complex number.z = 3 + 10i
A. 13
B. 109
C. 
D. 
Mathematics