3 years ago

What shape contains the Golden Rectangle many times over?

Mathematics

1 answer:

kicyunya [14]3 years ago

5 0

D. Pentagram or maybe a Rectangle

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4 years ago

Takumi started studying how the number of branches on his tree changes over time.

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Grows, Factor of 2

Step-by-step explanation:

The relationship between the elapsed time, t, in years, since Takumi started studying his tree, and the total number of its branches, N(t), is modeled by the function:

$N(t) = 63. 2^t$

For illustration, let us take the growth for the first three years after he started studying the number of branches.

$When \:t=1, N(1) = 63. 2^1=126\\When \:t=2, N(2) = 63. 2^2=252\\When \:t=3, N(3) = 63. 2^3=504\\504\div 252=252\div 126=2$

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Every year, the number of branches <u>grows</u> by a factor of <u>2.</u>

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