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vivado [14]
3 years ago
12

Can someone tell me if I did this right? If it's wrong can you tell me how to do it step by step? Thanks

Mathematics
1 answer:
Lesechka [4]3 years ago
6 0

Hi there!

So first off, here are little definitions you need to know in order to be able to answer your question :

<u>Constant</u> means that the rates of change are the same.

<u>Variable</u> means that the rates of change are different.


But from what I can see, you don't even need those definitions because you got both answers right!


Continue your great work! If there's anything just let me know! :)

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Whats the answer to that question?
gavmur [86]

Answer:

-0.9090... can be written as \frac{10}{11}.

Explanation:

Any <em>repeating </em>decimal can be written as a fraction by dividing the section of the pattern to be repeated <em>by </em>9's.

We can start by listing out

0.909090... = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

Now. we let this series be equal to x, that is

x = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

Now, we'll multiply both sides by 100 .

100x = 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + ...

Then, subtract the 1st equation from the second like so:

100x = 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

-x = - 9/10 - 0/100 - 9/1000 - 0/10000 - 9/100000 - 0/1000000 - ...

And we end up with this:

99x=90

Finally, we divide both sides by 99 in order to isolate x and get the fraction we're looking for.

x=\frac{90}{99}

Which can be reduced and simplified to

x=\frac{10}{11}

Hope this helps!

4 0
3 years ago
Do the following setm of lengths form a right triangle 36,77, 85
xxTIMURxx [149]

Answer:

They can make a right traingle because both sides of the equation are equal these lengths do form a right triangle.

3 0
3 years ago
Read 2 more answers
The 12th term of a sequence is 41 and the 15th term is 140. What is the nth term?
OLga [1]
An= mth term.
an=a₁+(n-1)*d

a₁₂=41
a₁₅=140

a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d 
a₁+11d=41    (1)

a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d 
a₁+14d=140    (2)

With the equiations (1) and (2)  build a system of equations
a₁+11d=41
a₁+14d=140

we solve it.
-(a₁+11d=41)
  a₁+14d=140
--------------------
       3d=99  ⇒d=99/3=33

a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322

an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n

an=-355+33n

To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
3 0
3 years ago
19. Use the unit circle to find the value of tan 315º.<br> Show work pls.
Free_Kalibri [48]

Answer: -1

Step-by-step explanation:

First change tan(315) to:

\frac{\sin(315)}{\cos(315)}

Then evaluate the sine and cosine function. What is the y component of 315 degrees? What is the x component of 315 degrees?

-\frac{\sqrt{2} }{2} /\frac{\sqrt{2} }{2} =-1

7 0
3 years ago
A car is traveling at a speed of 75 miles per hour and arrives at its final destination in total of 5.25 hours. What is the dist
GuDViN [60]

Answer:

86

Step-by-step explanation:

8 0
2 years ago
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