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4 years ago

Explain how finding 7×20 is similar to finding 7×2000 then find each product

Mathematics

1 answer:

AURORKA [14]4 years ago

6 0

You will get the same answers but with more zeros. For example 7x20 is 140, and 7x2000 is 14,000 but with more zero's

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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

sketch and label all possible rectangles with a perimeter of 30 cm and sides whose lengths are whole numbers

Ivahew [28]

Its asking you to draw rectangles with sides that equal 30 cm for example

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3 years ago

Read 2 more answers

ANSWER QUICK FOR A. AND B. !

sladkih [1.3K]

Answer: a=4

b=1600x

Step-by-step explanation:

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2 years ago

A 40 yd polygon and 15 yd polygon are similar. find the area of their ratios

Lubov Fominskaja [6]

Because we are dealing with area, we have to square the difference of the 2 polygons.40 / 15 = 2.6666666667 2.6666666667^2 = 7.1111111111

 So, the 40 yard polygon has 7.1111111111times the area of the 15 yard polygon.

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3 years ago

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Solve: 18^x^2+4x+4=18^9x+18

Zina [86]

Answer:

Answer: x = –2 and x = 7

Step-by-step explanation:

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3 years ago