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Gnoma [55]
3 years ago
11

When adding two rational

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

Obviously!! positive is your answer. thanks!!

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Find the sum of the convergent series 7 0.7 0.007
mafiozo [28]
7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)

Let S_n denote the nth partial sum of the series, i.e.

S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}

Then

\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}

and subtracting from S_n we get

S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}
\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)

As n\to\infty, the exponential term vanishes, leaving us with

\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9

and so

7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9
3 0
3 years ago
Which of the following function types exhibit the end behavior (PICTURE INCLUDED)
Nostrana [21]

Answer:

y=x^n; n is even and greater than zero.

The absolute value function y=|x|

Step-by-step explanation:

The power function;

y=x^n; n is even and greater than zero, is symmetric with respect to the positive y-axis.

As x\rightarrow \infty,f(x)\rightarrow \infty and as x\rightarrow -\infty,f(x)\rightarrow \infty

The absolute value function y=|x| also has the same end behavior.

The remaining functions in the options provided do not exhibit this end behavior.

See graph in attachment.

4 0
3 years ago
What is the answer for $ 199 MP3 player 15% discount
Irina-Kira [14]
So discount means taken off
we find 15% of 199 and subtract from 199
% means parts out of 100 so 15%=15/100=1.5/10=.15/1=0.15
'of' means multiply
15% of 199=0.15 times 199=29.85
discount so 199-29.85=169.15
answer is $169.15
8 0
3 years ago
Read 2 more answers
Need help with this one<br> Solve for x. 2x2=50
ruslelena [56]

do you mean 2x squared? If so, x = 5, -5

8 0
3 years ago
3[10-(27÷9) HELP PLEASE​
steposvetlana [31]

Answer:

21

Step-by-step explanation:

You do the parentheses first, so 27/9 = 3

10-3 = 7

3 * 7 = 21

8 0
2 years ago
Read 2 more answers
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