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lions [1.4K]
2 years ago
8

When a piece of paper is folded onto itself, it doubles in thickness. State the exact thickness of a 0.025 mm piece of paper tha

t is folded 9 times.
Mathematics
1 answer:
Semmy [17]2 years ago
7 0

Answer:

0.225 mm

Step-by-step explanation:

0.025*9 and that gets you 0.225

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Model the data using an exponential function f(x) = Abx. HINT [See Example 1.]
zlopas [31]
We take the function as a sequence

Term 1 ⇒ 5 
Term 2 ⇒ 4
Term 3 ⇒ 3.2

Between terms, there is a common ratio of ⁴/₅
We get it from here:
Term 2 / Term 1 = \frac{4}{5}
Term 3 / Term 2 = \frac{3.2}{4} = \frac{4}{5}

When a sequence has a common ratio between term, the sequence is a Geometric Sequence

n_{th}term=ar^{n-1}
Where a is the first term, r is the common ratio, and n is the term number

We have: a=5 and r= \frac{4}{5}
The formula for the function is

f(x)=5( \frac{4}{5})^{x-1}


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3 years ago
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dybincka [34]

Answer:

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Step-by-step explanation:

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