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Anastasy [175]
3 years ago
15

How many times as many circles will there be at stage 21 compared to stage 20

Mathematics
1 answer:
babymother [125]3 years ago
3 0

Answer:2^{10}\ circles

Step-by-step explanation:

Given

Stage 20 has 2^9 circles

Considering at each consecutive stage circle doubles itself

So at stage 21, there will be 2\times 2^9=2^{10} circles

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Find the first five terms of the sequence given by a 1 = 2, a n = 3 a n -1 - 1.
lara31 [8.8K]

Answer:

2, 5, 14, 41, 122

Step-by-step explanation:

Using the recursive rule with a₁ = 2

a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5

a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14

a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41

a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122

The first 5 terms are 2, 5, 14, 41, 122

8 0
3 years ago
Read 2 more answers
Taylor wants to center a 3.5 inch picture on a piece of paper that is 12 inches wide How
AVprozaik [17]

Answer:

The picture is 4.25 inches from the side of the paper

Step-by-step explanation:

- Taylor wants to center a 3.5 inch picture on a piece of paper that is

12 inches wide

- Lets think about that he want to put the picture in the center of the

paper, then divide the length of the paper into two equal parts and the

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∵ The width of the paper is 12 inches

∵ 12 ÷ 2 = 6 inches

∵ The width of the picture is 3.5 inches

∵ 3.5 ÷ 2 = 1.75

- Now lets subtract from 6 inches (half paper) 1.75 inches (half picture)

to find the distance between the side of the paper and the picture

∵ 6 - 1.75 = 4.25

∴ The distance from the side of the paper to the picture is 4.25 inches

* <em>The picture is 4.25 inches from the side of the paper</em>

* Look to attached figure for more understand

7 0
3 years ago
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Simplify the expression. 5g – 7g + 4 + 2g
Marina86 [1]

Answer:

4

Step-by-step explanation:

there is no quantity for g and 4 is all that is left

4 0
3 years ago
The graph below shows the numbers of cups of kiwi juice that are mixed with different numbers of cups of lemon-lime soda to make
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Answer:

4:1

Step-by-step explanation:

4 cups of kiwi juice for every cup of lemon lime soda

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3 years ago
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Sarah has a make your own candle set that includes a block of wax in the shape of a rectangular prism. The block of wax has a le
slavikrds [6]

Answer:

She doesn't have enough wax to make 4 candles, but she does have enough to make 3 whole candles

Step-by-step explanation:

Please refer to the attached image for explanations

7 0
3 years ago
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