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4 years ago

Please help me only if you know the answer to this or else I'll fail :(

Mathematics

2 answers:

Montano1993 [528]4 years ago

8 0

I cant see the question either

posledela4 years ago

7 0

What is the question

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A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.

tatyana61 [14]

Answer:

(a) $g(n)=0.05\cdot 2^n$

(b) $g^{-1}(n)=\log_{2}20g(n)$

Step-by-step explanation:

Part A

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

$g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n$

Part B

$g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)$

Part C

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

$g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43$

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

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3 years ago

Attachment Mathswatch!!

anygoal [31]

Answer:

y=2x + 2

Step-by-step explanation:

2 is the slope and 2 is also the y-intercept

y = mx + b

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3 years ago

A dartboard consists of two concentric circles. The probability of hitting the inner circle is

stepan [7]

Given:
Diameter of outer circle = 20 inches.

We need to find the Area of the outer circle to get the radius of the inner circle.

Area = πr²

Outer circle Area = 3.14 * (10in)² = 314 in²

314 in² * 64% probability = 200.96 in² Area of the inner circle.

200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r

radius of inner circle is 8 inches.

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3 years ago

What is $8.75 with a 5.25% sales tax

nadezda [96]

8.75 with 5.25 sales tax is 0.46 I think

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Line k has a slope of 2/3. If line m is parallel to line k, then it has a slope of

dalvyx [7]

If line m is parallel to line k, then it has a slope of C)2/3

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