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timurjin [86]
3 years ago
12

How do I do this, I really need help to understand

Mathematics
1 answer:
Serggg [28]3 years ago
3 0
Which questions do you need help with?
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Image attached on the bottom
julia-pushkina [17]

Answer:

c

Step-by-step explanation:

i just took it

5 0
2 years ago
Read 2 more answers
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
Ahmad,Barry,andTara collected some seashells.Ahmad collected 1 over 6 of the seashells,Barry collected 1and 2 of thr seashell, a
VashaNatasha [74]
Ahmad = 1/6 
Barry = 1/2
Tara = 1 - 1/6 - 1/2 = 1/3

1/3 of the seashells = 76
3/3 of the seashells = 76 x 3
3/3 of the seashells = 228

----------------------------------------------------------------------------
Answer: They had 228 seashells altogether.
----------------------------------------------------------------------------
4 0
3 years ago
In a survey of 400 seniors, x percent said that they plan on majoring in physics. One university has used this data to estimate
azamat

Answer:

2 percent

Step-by-step explanation:

We can use two separate fractions, one representing the amount of physics majors expected and the amount of seniors expected in physics majors by the university.

\frac{400x}{66} = \frac{400}{3600}

Now cross multiply.

\frac{66*400}{400x * 3600}

x will be removed.

\frac{26400}{1320000}

Simplifying this fraction will get you \frac{1}{50}, which in percentage form, will be 2 percent.

8 0
1 year ago
(5+x-3)x-3=x-1 what is x?
Tju [1.3M]
You multiple everything in the ( )’s with the number outside of the ( )’s
4 0
3 years ago
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