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iVinArrow [24]
2 years ago
6

The graph at the right shows the relationship between rainfall

Mathematics
1 answer:
GrogVix [38]2 years ago
3 0

Answer:

the graph is a straight line through the origin

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I'll give u full brainlist if u do this!
alex41 [277]

Answer:

a. 54.75

b. 2.64

Step-by-step explanation:

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2 years ago
Write the equation for Chelsea's graph in
xeze [42]

Answer:

y=-4x+16.

Step-by-step explanation:

From the given graph it is clear that the y-intercept is 16.

The line passes through (-2,24) and (2,8). So, slope of line is

Slope=\dfrac{y_2-y_1}{x_2-x_1}

Slope=\dfrac{8-24}{2-(-2)}

Slope=\dfrac{-16}{4}

Slope=-4

Slope intercept form of a line is

y=mx+b

where, m is slope and b is y-intercept.

Substitute m=-4 and b=16 in the above equation.

y=(-4)x+(16)

y=-4x+16

Therefore, the required equation is y=-4x+16.

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Step-by-step explanation:

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2 years ago
The volume of a rectangular prism is 2x^3 + 9x^2 - 8x -36 with height x + 2. Using synthetic division, what is the area of the b
Luba_88 [7]

Answer:

Step-by-step explanation:

x+2=0

x=-2

-2 | 2   9    -8  -36

   |      -4  -10   36

______________

   |  2    5  -18  | 0

area= 2x²+5x-18

5 0
2 years ago
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)

(c)43 times

Step-by-step explanation:

<u>Part A</u>

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

<u>Part B</u>

<u />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)<u />

<u />

<u>Part C</u>

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
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