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I am Lyosha [343]
1 year ago
11

Please help, image below. Thank you!

Mathematics
1 answer:
kolbaska11 [484]1 year ago
8 0

Answer:

10 Inches

Hope it helps, have a fantastic day.

Step-by-step explanation:

The Circumference of a circle can be displayed by this formula:

C = 2\pi r

C is the circumference, and r is the radius.

So just plug in 31 for C, and simplify:

31 = 2\pi r

Because the question is asking for the diameter, we only need to divide both sides by pi, as 2r is the same thing as diameter.

9.87 = 2r (rounded to the nearest hundredth)

We can even rewrite 2r as d, which stands for diameter, to make things a little simpler.

9.87 = d

Now we just take 9.87, and round it to the nearest whole number, and we get 10. So your answer is 10 Inches.

Hope it helps, have a fantastic day.

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1) 6, 18, 54

2) 5/3, 14/9, 41/27

3) 1.5, 2.5, 2.5

Step-by-step explanation:

1)

The function that we have in this problem is

g(x)=3x

We want to find the first 3 iterations.

The initial value is:

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To find the value of the 1st iteration, we just substitute this value into the expression of the function, and we get:

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The to find the value of the 2nd iteration, we just substitute this value into the expression of the function, and we get:

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Finally, the 3rd iteraction is given by:

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2)

Here in this problem the function that we have to use is

g(x)=\frac{1}{3}x+1

The initial value is

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So the first iteration is given by

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3)

The function in this problem is

g(x)=-|x-2|+3

The initial value is

x = 0.5

So, the first iteration is:

g_1(x)=-1|0.5-2|+3=-1|-1.5|+3=-1\cdot 1.5 +3=-1.5+3=1.5

The second iteration is given by

g_2(x)=-|g_1-2|+3=-|1.5-2|+3=--0.5+3=2.5

Finally, the 3rd iteration is

g_3(x)=-|g_2-2|+3=-|2.5-2|+3=-0.5+3=2.5

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