A cable is 90 decimeters long. How long is the cable in meters

Mathematics

2 answers:

stealth61 [152]3 years ago

6 0

The answer is 9 meters

GarryVolchara [31]3 years ago

5 0

9 meters hope i helped

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Indefinite integral need help pleaseeeeeee

tatiyna

Integrate indefinite integral:
$I=\int\frac{dx}{e^{2x}+3e^x+2}dx$

Solution:
1. use substitution $u=e^x$
=>
$du=e^xdx$
=>
$dx=\frac{du}{e^x}$
=>
$dx=\frac{du}{u}$
=>
$I=\int\frac{du}{u(u^2+3u+2)}du$
$=\int\frac{du}{u(u+2)(u+1)}du$
2. decompose into partial fractions
$\frac{1}{u(u+2)(u+1)}$
$=\frac{A}{u}+\frac{B}{u+2}+\frac{C}{u+1}$
where A=1/2, B=1/2, C=-1
$=\frac{1}{2u}+\frac{1}{2(u+2)}-\frac{1}{u+1}$
3. Substitute partial fractions and continue
$I=\int\frac{du}{2u}+\int\frac{du}{2(u+2)}-\int\frac{du}{u+1}$
$=\frac{log(u)}{2}+\frac{log(u+2)}{2}-log(u+1)}$
4. back-substitute u=e^x
$=\frac{log(e^x)}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}$
$=\frac{x}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}$

Note: log(x) stands for natural log, and NOT log10(x)

7 0

3 years ago

What is the slope of (3,-20),(5,8)

fomenos

The equation for slope is y² - y
 x² - x

So it would be: 8 - (-20) or 8 + 20
 5 - 3 5 - 3

28
2

Then, you have to reduce it, divide both by two.

14
1

Since it is over 1, then it is just the numerator.

Your final is:
Slope = 14

4 0

3 years ago

4x-3y=1 and 3y=x-1 use substitution and give an ordered pair

dolphi86 [110]

Answer: below i've attached a file that you view for ---> 4x-3y=1 and 3y=x-1 using the substitution method (please let me know if you can see it ..you might need to zoom in )

Step-by-step explanation: