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Nezavi [6.7K]
2 years ago
6

Calculate the radius of a circle if it’s circumference is 37.7cm

Mathematics
1 answer:
Eddi Din [679]2 years ago
4 0
Circumference = 2\pir

Solve for r.

2\pir = 37.7
Divide both sides by 2.

\pir = 18.85
Divide both sides by \pi.

r = 6

The radius is 6 cm.
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A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the
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Answer:

f(t)=20000(0.85)^t

Step-by-step explanation:

So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:

f(t)=P(r)^t

Where <em>P </em>is the initial value, <em>r</em> is the rate of decay, and <em>t</em> is the time in years.

Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.

Therefore, the equation that models the value of the computer is:

f(t)=20000(0.85)^t

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2 years ago
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tangare [24]

Answer:

Slope = (-5,0)

Step-by-step explanation:

When given two points and asked to find the slope, you can find the answer using slope formula which is:

slope = (y2 - y1) / (x2-x1)

You have been given the points (3,4) and (3,-1). You can select which ones to be x1 and y1 and which ones to be x2 and y2. It doesn't matter which, so let's just do (3,4) are x1 and y1 and (3,-1) are x2 and y2. Now we can plug it into the formula.

Slope = (-1 - 4) / (3-3)

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So the answer is (-5,0).

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Find the slope between (-4,9)and(-2,8)
Taya2010 [7]

Answer:

-1/2

Step-by-step explanation:

Tell me if you want a step by step.

Hope this helps. :)

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Answer: 0

Step-by-step explanation:

Slope (m) is defined by the formula change in y divided by the change in x. You could denote "change in" using Δ (delta).

The change in y is your final postion along the y-axis, subtracted by your initial position on the y axis.

The change in x is your final position among the x-axis, subtracted by your initial position.

Think of these two sets of coords like two positions. Your final y was 2, and your initial was also 2. Do 2 - 2 to get 0. We dont even need to solve for delta x because 0 divided by anything is zero. Therefore your slope will be 0. That basically means you have a critical point of the function. The tangent line will be completely horizontal along that interval of coords.

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