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almond37 [142]
4 years ago
10

A milestone occurring in which of these increments of time will be the farthest to the right on a timeline? A. 10 months B. 90 d

ays C. 8 years D. 16 weeks​
Mathematics
1 answer:
Naya [18.7K]4 years ago
6 0

Answer:

Step-by-step explanation:

16

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2 sin^2 + sin x - 3 = 0
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Answer:

x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

Step-by-step explanation:

Solve for x:

-3 + sin(x) + 2 sin^2(x) = 0

The left hand side factors into a product with two terms:

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Split into two equations:

sin(x) - 1 = 0 or 2 sin(x) + 3 = 0

Add 1 to both sides:

sin(x) = 1 or 2 sin(x) + 3 = 0

Take the inverse sine of both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) + 3 = 0

Subtract 3 from both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) = -3

Divide both sides by 2:

x = 2 π n_1 + π/2 for n_1 element Z

or sin(x) = -3/2

Take the inverse sine of both sides:

Answer:  x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

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Answer:

D

Step-by-step explanation:

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A light flashes every 8 seconds how many times will it flash in 3 minutes
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Answer:

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Step-by-step explanation:

3 minutes = 180 seconds.

180 divided by 8 = 22.5

The light only flashed 22 times.

3 0
3 years ago
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