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harkovskaia [24]
3 years ago
13

Determine whether the series converges: sum(k=1 -> infinity) [1/(1+lnk)]

Mathematics
1 answer:
fgiga [73]3 years ago
3 0
Series is strictly decreasing so apply Integral test.
Limit test is also applicable, it implies it may converge.
Integrate 1/(1+lnx) you may need product rule.
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How to do this because I do not understand how to do it
mel-nik [20]
Answer: 24.52%

-------------------------------------------

Work Shown:

Convert the time 7:45, which represents 7 min 45 sec, to seconds only
7:45 = (7 min) + (45 sec)
7:45 = (7*60 sec) + (45 sec)
7:45 = (420 sec) + (45 sec)
7:45 = (420+45) sec
7:45 = 465 sec

Do the same for 5:51
5:51 = (5 min) + (51 sec)
5:51 = (5*60 sec) + (51 sec)
5:51 = (300 sec) + (51 sec)
5:51 = (300+51) sec
5:51 = 351 sec

So the initial time is 465 seconds and it drops to 351 seconds
Subtract the values to find the amount dropped: 465-351 = 114

Divide that difference over the initial time: 114/465 = 0.24516

Move the decimal over 2 spots to the right to convert to a percentage: 0.24516 --> 24.516%

Then round to the nearest hundredth of a percent (2 decimal places) to go from 24.516% to 24.52% which is our final answer

So the reduction is roughly 24.52%
This means if you took 24.52% of the initial time and subtracted it off, then you'd get to about 351 seconds.

5 0
3 years ago
Write the number 33×10^-3 in scientific notation​
cluponka [151]

Answer:

Step-by-step explanation:

33×10^-3 is equivalent to 33/1000, or 0.033.

This, in turn, is equivalent to 3.3×10^(-2) (which is in scientific notation)

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M N N S N G RS music puzzle​
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What does MNNNSNGRS mean
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PLEASE HELP ME!!! Mari and Jack each bought a sofa from a furniture store. Mari’s sofa cost $600. She paid $200 when she bought
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Answer:

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5 0
3 years ago
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Can someone help me with this please!~
Eduardwww [97]
Note that sum of triangle interior angles is 180. So,

(12x+12)+15+(3x+18)=180

15x+45=180

15x=135

x=9

Since A=12x+12=12.9+12=120

And C=3x+18=3.9+18=45
7 0
4 years ago
Read 2 more answers
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