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Pavel [41]
3 years ago
11

Please someone help me

Mathematics
1 answer:
hram777 [196]3 years ago
5 0
The answer is 57 inches

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My attempts at solving this integral keep failing... I'd really appreciate some help :)
inysia [295]
\bf \displaystyle \int \cfrac{csc^2(x)}{1+cot(x)}\cdot dx\\\\
-----------------------------\\\\
u=1+cot(x)\implies \cfrac{du}{dx}=-csc^2(x)\implies \cfrac{du}{-csc^2(x)}=dx\\\\
-----------------------------\\\\
\displaystyle \int\cfrac{csc^2(x)}{u}\cdot \cfrac{du}{-csc^2(x)}\implies -\int \cfrac{1}{u}\cdot du
\\\\\\
-ln|u|+C\implies -ln|1+cot(x)|+C
5 0
4 years ago
A cross country skier reaches the 3km mark of a race in 15 min and 12 km mark 45 min later. Assuming a contrast rate find the sp
melomori [17]
To find the speed you must write S= d/t so for the first one we will chang 15 m to b so it is = 0.25h so s=3/0.25h = 12km/h an why secand is 45 m to h = 0.75h so S=d/t S =12/0.75 =16 km/h the to find the totel speed we should + the speed together so 12 + 16 = 28 km/h
4 0
3 years ago
What two things make a graph proportional?​
sp2606 [1]
The y intercept and the gradient
6 0
3 years ago
Read 2 more answers
Express 100,000 as a power of 10
Vedmedyk [2.9K]

Answer:

10^5

Step-by-step explanation:
10 multiplied by itself five times (10*10*10*10*10) is 100,000.

7 0
2 years ago
Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 20. Find the prob
Ipatiy [6.2K]

Answer:

Randomly selected adult has an IQ less than 136 is 0.9641

Step-by-step explanation:

It is given that, it is normal distribution with mean 100 and SD as 20.

So, let's use the formula of z-score

z=\frac{x-mean}{SD}

For this problem,

x= 136

Plug in this value into the formula

z-score=\frac{136-100}{20}

       =1.8

Now, use z-score table to find the probability

Find the corresponding value for the row 1.8 and the column 0.00, we do get 0.9641

So, Randomly selected adult has an IQ less than 136 is 0.9641

3 0
3 years ago
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