Use the properties of logarithms to rewrite and simplify the logarithmic expression ln(3e 4 ).

a.  ln 4
b.  ln 3 + 4
c.  ln 4 + 3
d.  ln 7


b.  ln 3 + 4

Mathematics

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Use an identity to write the expression as a single trigonometric function or as a single number.4 sin 2x cos 2x

A. 2 sin 4x
B.  sin 16x
C. cos 8x
D. cos 4x

Mathematics

Find the exact value of the expression.sin 220° cos 100° - cos 220° sin 100°

A.
B. - 
C. - 
D. - 

Mathematics

If the function is one-to-one, find its inverse. If not, write "not one-to-one."{(6, -7), (11, -6), (9, -5), (7, -4)}

A. {(7, 6), (6, 11), (-5, 9), (-4, 7)} B. not one-to-one C. {(6, -7), (11, -6), (9, -5), (7, -4)} D. {(-7, 6), (-6, 11), (-5, 9), (-4, 7)}

Mathematics

Provide an appropriate response.The cost of a fur coat, assuming a $311.50 markup, which is a 35% markup on selling price, is $202.48.

A. True B. False

Mathematics