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ehidna [41]
3 years ago
8

Uncle Drew scored 2828 points in 5 5/6 ? minutes during a game of basketball. How many points did he average per minute during t

hat 5\dfrac565 6 5 ? minutes?
Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0

Answer:

4.8 points per minute

Step-by-step explanation:

Uncle Drew scored 28 points in 5 \frac{5}{6} minutes. We have to convert the mixed fraction first:

t = 5 \frac{5}{6}=\frac{5\cdot 6+5}{6}=\frac{35}{6}

So, the time is 35/6 minutes.

In order to find the number of points he scored in a minute, we have to divide the total number of points by the number of minutes, so:

mean = \frac{28}{35/6}=28 \cdot \frac{6}{35}=4.8

So, he scored 4.8 points per minute.

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Answer:

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C

Step-by-step explanation:

∫▒〖1st .2nd dx=1st∫▒〖2nd dx〗-∫▒〖(derivative of 1st) dx∫▒〖2nd dx〗〗〗

Let 1st=arctan⁡(x)

And 2nd=1

∫▒〖arctan⁡(x).1 dx=arctan⁡(x) ∫▒〖1 dx〗-∫▒〖(derivative of arctan(x))dx∫▒〖1 dx〗〗〗

As we know that  

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∫▒〖1 dx〗=x

So  

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-∫▒〖(1/(1+x^2 ))dx.x〗…………Eq1

Let’s solve ∫▒(1/(1+x^2 ))dx by substitution now  

Let 1+x^2=u

du=2xdx

Multiply and divide ∫▒〖(1/(1+x^2 ))dx.x〗 by 2 we get

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1/2 ∫▒(2xdx/u) =1/2 ∫▒(du/u)  

1/2 ∫▒(2xdx/u) =1/2  ln⁡(u)+C

1/2 ∫▒(2xdx/u) =1/2  ln⁡(1+x^2 )+C

Putting values in Eq1 we get

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C  (required soultion)

3 0
2 years ago
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it snowed 1/4 inch every hour for 4 hours then it's no 1/2 inch every hour for 6 hours what was the total snowfall that was meas
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Answer:

Step-by-step explanation:

4 hours × (¼ in)/hour = 1 in

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8 0
3 years ago
Given: Right triangles CES and RST. In two or more complete sentences, explain what additional information is needed to prove tr
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The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche
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<u>Answer</u>

The first student was right.

The length of the long side is at least 13 inches.

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