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xenn [34]
2 years ago
8

Determine the period of the function g(x) = (cos ;)

Mathematics
1 answer:
Romashka [77]2 years ago
5 0

Answer:

6\pi

Step-by-step explanation:

The period of a sinusoidal function in the form a * cos (b (x + h)) + m is \frac{2\pi }{|b|}. Therefore, we can see that "b" in g(x) is 1/3 and 1/3 substituted into \frac{2\pi }{|b|} is 2\pi/1/3 which is 6\pi.

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2 years ago
1. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3 π inches. One day, her sink clogge
Anettt [7]

Answer:

Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

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We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

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3 years ago
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