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igor_vitrenko [27]
3 years ago
6

Does anyone know this answer? timed test

Mathematics
2 answers:
omeli [17]3 years ago
3 0
The answer is
(2/1/8)

D
Nadya [2.5K]3 years ago
3 0
The answer is d because when multiplying you car 9 5/24
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For the following telescoping series, find a formula for the nth term of the sequence of partial sums
gtnhenbr [62]

I'm guessing the sum is supposed to be

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}

Split the summand into partial fractions:

\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}

1=a(5k+4)+b(5k-1)

If k=-\frac45, then

1=b(-4-1)\implies b=-\frac15

If k=\frac15, then

1=a(1+4)\implies a=\frac15

This means

\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}

Consider the nth partial sum of the series:

S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)

The sum telescopes so that

S_n=\dfrac2{14}-\dfrac2{5n+4}

and as n\to\infty, the second term vanishes and leaves us with

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17

7 0
3 years ago
Simplify<br><br> √12m • √15m<br><br> = [1] m √[2]
Elodia [21]

Answer:

  6m√5

Step-by-step explanation:

  √(12m)·√(15m) = √(180m²) = √(5·(36m²)) = √5·√(6m)²

  = 6m√5 . . . . . . for m ≥ 0

8 0
3 years ago
Determine the unknown integer in each number sentence <br> 4 - ___ = 31
polet [3.4K]
4-x=31
-4=-4 
x=27
27 is the answer
4 0
3 years ago
If 45% of a bill is fo labour what is the total bill if the labour cost is 135$
Tomtit [17]

Answer:

the answer is 283.5

7 0
4 years ago
Use the information to answer the following questions.
lyudmila [28]

If a manager at a large company wants to understand whether the employees are feeling. The best way to collect data is: B. survey.

<h3>What is survey?</h3>

Survey can be defined as the data or information collected from group of people so as to draw or reach a conclusion.

Based on the information Survey would be the best method that would be  suited to understand whether the employees are feeing overworked or not.

The manager can send an online survey to the employee so as to collect that data that will enables the manager to reach a conclusion.

Therefore the correct option is B.

Learn more about survey here:brainly.com/question/968894

#SPJ1

8 0
2 years ago
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