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Lelu [443]
4 years ago
6

Evaluate the series

Mathematics
2 answers:
Keith_Richards [23]4 years ago
8 0

The answer to evaluate the series is:

<h2><u>26</u></h2>

Sav [38]4 years ago
3 0
Answer:

26.

Step-by-step explanation:

The given series is;

\sum_{n=1}^{4}(n+4).

This series is finite and has few number of terms.

We can rewrite the expanded form to get;

\sum_{n=1}^{4}(n+4)=(1+4)+(2+4)+(3+4)+(4+4).

\sum_{n=1}^{4}(n+4)=5+6+7+8.

\sum_{n=1}^{4}(n+4)=26.
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E^(8x)+e^(-x) find the interval on which f is increasing
saveliy_v [14]
Assuming ya mean
f(x)=e^{8x}+e^{-x}
take derivitive
remember dy/dx e^x=e^x
also the chain rule

so
f'(x)=8e^{8x}+-1e^{-x}
find where it equals 0
0=8e^{8x}+-e^{-x}
e^{-x}=8e^{8x}
multiply both sides by e^x
1=8e^{9x}
divide both sides by 8
\frac{1}{8}=e^{9x}
take ln of both sides
ln(\frac{1}{8})=ln(e^{9x})
ln(\frac{1}{8})=9x
divide both sides by 9
\frac{ln(\frac{1}{8})}{9}=x

x≈-1/5
f'(-1)<0
f'(0)>0

so it is increasing from x to infinity

the interval it is increasing on is (\frac{ln(\frac{1}{8})}{9},  \infty)
6 0
3 years ago
What is 79% as a faction in simplest form
emmainna [20.7K]
79/100 is the same thing as 79%
4 0
3 years ago
Ruben is collecting cans for the recycling contest at school. He makes two plans to try to collect the most cans.
vitfil [10]
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What is the value of the 8th term of the sequence 4, 8, 16, 32, ...?
vladimir1956 [14]

Answer:

512

Step-by-step explanation:

The sequence is doing the number times 2, so 4 times 2 equals 8,

8 x 2 = 16, ect

If you do this enough, you will get 512 as the 8th term.

3 0
3 years ago
Read 2 more answers
:( CAN SOMEONE PLEASE HELP ME
Alla [95]

Answer:

I think that Nick is correct because you are going to have to make your answer positive and when you do the two fractions -4/9 + -6/9 are going to be   6/9 + 4/9 and there is already a addition sign in the last problem we are just going to keep it there. And when we add we get 10/9 or 1 1/9

If i get it wrong please don't hate im just in 7 grade ok :(

6 0
3 years ago
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