Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.log9 27 - log9 3

A. 9
B. 1
C. 27
D. 3


Answer: B

Mathematics

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Solve the given applied problems involving variation.The pitch P of a musical tone varies inversely as its wavelength W. One tone has a pitch of 479 vibrations per second and a wavelength of 8.8 ft. Find the wavelength of another tone that has a pitch of 492 vibrations per second.

A. 0.000037 ft B. 0.12 ft C. 26,780.5 ft D. 8.6 ft

Mathematics

Find all cube roots of the complex number. Leave answers in trigonometric form.125i

A. 5 cis 30°, 5 cis 150°, 5 cis 270° B. 5 cis 60°, 5 cis 180°, 5 cis 300° C. 1, -1, -i D. 5 cis 0°, 5 cis 120°, 5 cis 240°

Mathematics

Find a set of symmetric equations of the line that passes through the given points. ? ?

A.
B.
C.
D.
E.

Mathematics

Find the center and the radius of the circle.x2 + y2 - 4x + 2y - 20 = 0

A. (-1, 2); r = 5 B. (-2, 1); r = 25 C. (2, -1); r = 5 D. (1, -2); r = 25

Mathematics