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3 years ago

(6 + 4(-12) = i need help on this one too..

Mathematics

1 answer:

OlgaM077 [116]3 years ago

3 0

Answer:

-42

Step-by-step explanation:

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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.

3 0

3 years ago

write the slope-intercept form of the equation of the line passing through the point(-5,-2) and parallel to the line y=2x-2

Ivanshal [37]

Point- Slope form is
y - y1 = m (x - x1)
m = slope, (x1, y1) = point
Slope intercept form is y = mx + b
m = slope, b = y-intercept
In order for two lines to be parallel, they must have the same slope, so in this case our slope, m = 2. Now use point-slope form to insert the point and solve.
y--2 = 2 (x --5)
y + 2 = 2x + 10
y = 2x + 8

6 0

3 years ago

Lighting a match is an example of a chemical change involving

bixtya [17]

My answer -

If you light a match, the match catches fire. If something catches fire it is therefore combustible.

P.S

Happy to help you have an AWESOME!!!! day :D

4 0

3 years ago

2x 5 The area of the rectangle shown is given by the function A()- 2 -5x lfthe width of the rectangle is 13, then the area is 42

PIT_PIT [208]

If you let x = 13:
Then, Area = 2(13)^2 - 5(13)
= 338 - 65
= 273 sq ft

If you let 2x-5 = 13:
2x = 18
x = 6

Then, Area = 2(6)^2 - 5(6)
= 72 - 30
= 42 sq ft

Therefore, your options are A or C. Your answer can be chosen based on what you assume the width to be. Good luck!

7 0

3 years ago

1.6 y - 0.7 + 3.8y + 2

love history [14]

Answer: 5.4y + 1.3

Step-by-step explanation:

Combining like terms

5.4y + 1.3

7 0

3 years ago

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