Solve the problem.An artifact is discovered at a certain site. If it has 55% of the carbon-14 it originally contained, what is the approximate age of the artifact, to the nearest year? (Carbon-14 decays at the rate of 0.0125% annually.)

A. 4400 years old
B. 3600 years old
C. 2077 years old
D. 4783 years old


Answer: D

Mathematics

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Provide an appropriate response.Explain the error in the following: log6 8 - log6 N = log6(8 - N).

What will be an ideal response?

Mathematics

Simplify the expression.

A.
B.
C.
D.

Mathematics

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.(x + 3)2 - 16(y - 2)2 = 16

A. center at (-3, 2)
transverse axis is parallel to x-axis
vertices at (-4, 2) and (-2, 2)
foci at (-3 - , 2) and (-3 + , 2)
asymptotes of y - 2 = - 4(x + 3) and y - 2 = 4(x + 3)
B. center at (-3, 2)
transverse axis is parallel to y-axis
vertices at (-3, -2) and (-3, 6),
foci at (-3, 2 - ) and (-3, 2 + ),
asymptotes of y + 2 = - 4(x - 3) and y + 2 = 4(x - 3)
C. center at (2, -3)
transverse axis is parallel to x-axis
vertices at (-2, -3) and (6, -3)
foci at (2 - , -3) and (2 + , -3)
asymptotes of y + 3 = - (x - 2) and y + 3 = (x - 2)
D. center at (-3, 2)
transverse axis is parallel to x-axis
vertices at (-7, 2) and (1, 2)
foci at (-3 - , 2) and (-3 + , 2)
asymptotes of y - 2 = - (x + 3) and y - 2 = (x + 3)

Mathematics

Find the vertices of the hyperbola.y = ± 

A. (0, 4) and (0, -4) B. (4, 0) and (-4, 0) C. (16, 0) and (-16, 0) D. (0, 3) and (0, -3)

Mathematics