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Naily [24]
3 years ago
14

What is the greatest common factor of 24s3, 12s4, and 18s?

Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer:

Step-by-step explanation:

The GCF if 24s^3, 12s^4 and 18s is

24s^3: 2^3 * 3 s s s

12s^4: 2^2 * 3 s *s* s* s

18s: 3^2 * 2 s

3s is the GCF

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Katy’s little sister has 2 stuffed bears for every 3 dolls. If she has 8 stuffed bears, how many dolls does she have
Finger [1]

Answer:

She has 12 dolls

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3 years ago
The smallest positive solution of tan bx = 2 is x = 0.3. Determine the general solution of tan bx = 2.
Contact [7]

The general solution of tan(b·x) = 2, given that the smallest positive solution is x = 0.3, is presented as follows;

\mathbf{ x =0.3 +  \dfrac{n \cdot \pi}{b}}

The given smallest positive solution of tan (b·x) = 2 is x = 0.3

The general solution of tan (b·x + c) = m, is given as follows;

\mathbf{x = \dfrac{\alpha  - c}{b}  + n \cdot \dfrac{\pi}{b}}

α = arctan(m) = x₀

The minimum positive value of the general solution is therefore presented as follows;

x_{min \ positive} = \dfrac{\alpha  - c}{b}  + 0 \times \dfrac{\pi}{b} = \dfrac{\alpha  - c}{b}

\mathbf{x_{min \ positive} = \dfrac{\alpha  - c}{b}}

In the given function, tan (b·x), we therefore, have;

c = 0, m = 2,  \dfrac{\alpha  - c}{b} = 0.3

The general solution of tan(b·x) = 2, is therefore;

\mathbf{x =0.3 +  \dfrac{n \cdot \pi}{b}}

Learn more about the general solution of a sine function here:

https://brainly.in/question/1549935

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Use the image below to answer the following question:
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Answer:  The ratios are both identical. (Choice A)

Why does this answer work?

Well let's refer to the diagram below.

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Also, angle y has side 12 adjacent to it, meaning,

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Both trig ratios result in 12/13 and we can say sin(x) = cos(y)

One last thing to notice is that x+y = 90

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Phrased a slightly different way: if x+y = 90, then sin(y) = cos(x)

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