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3 years ago

50 points for the correct answer if u spam u getting reported

Mathematics

2 answers:

ludmilkaskok [199]3 years ago

8 0

The answer is 16, you just have to simply the whole problem

Ghella [55]3 years ago

4 0

16

HhhhIT IS 16 obviously boi

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Test the series for convergence or divergence (using ratio test)

Triss [41]

Answer:

$\lim_{n \to \infty} U_n =0$

Given series is convergence by using Leibnitz's rule

Step-by-step explanation:

Step(i):-

Given series is an alternating series

∑ $(-1)^{n} \frac{n^{2} }{n^{3}+3 }$

Let $U_{n} = (-1)^{n} \frac{n^{2} }{n^{3}+3 }$

By using Leibnitz's rule

$U_{n} - U_{n-1} = \frac{n^{2} }{n^{3} +3} - \frac{(n-1)^{2} }{(n-1)^{3}+3 }$

$U_{n} - U_{n-1} = \frac{n^{2}(n-1)^{3} +3)-(n-1)^{2} (n^{3} +3) }{(n^{3} +3)(n-1)^{3} +3)}$

Uₙ-Uₙ₋₁ <0

Step(ii):-

$\lim_{n \to \infty} U_n = \lim_{n \to \infty}\frac{n^{2} }{n^{3}+3 }$

$= \lim_{n \to \infty}\frac{n^{2} }{n^{3}(1+\frac{3}{n^{3} } ) }$

= $= \lim_{n \to \infty}\frac{1 }{n(1+\frac{3}{n^{3} } ) }$

$=\frac{1}{infinite }$

$\lim_{n \to \infty} U_n =0$

∴ Given series is converges

3 0

3 years ago

an equilateral triangle has one angle measureme of 60. What is the measurement of the two remaining angles?

Anna [14]

The equilateral triangle has one angle measurement of 60 what is the measurement of two remaining angles divide 60 by 2 with sugar 30 that your answer

6 0

3 years ago

The point A(-3,5) and the point B(1,-15) lie on the line L. Find the equation of the line L.

Shkiper50 [21]

(-3,5)(1,-15)
slope = (-15 - 5) / (1 - (-3) = -20/4 = -5

y = mx + b
slope(m) = -5
use either of ur points...(-3,5)...x = -3 and y = 5
now we sub and find b, the y int
5 = -5(-3) + b
5 = 15 + b
5 - 15 = b
-10 = b
so ur equation is : y = -5x - 10....or 5x + y = -10

7 0

3 years ago

70% is equal to 175$ dollars how many dollars are in 100%

zheka24 [161]

100% = $250

divide $175 by 70 to obtain 1% then multiply by 100 for 100%

100% = $175 × $\frac{100}{70}$ = $250

7 0

3 years ago

Tommy's batting average this season is 0.275. This means that he had a hit in 27.5% of his at-bats. If tommy had 11 hits so far

skelet666 [1.2K]

Tommy is said to have an average of 0.275 meaning he hit 27.5 of bats.
=> Now, his 27.5 % is equals to 11 at-bat hits.
Let’s solve for how many at-bat hits did Tommy did.,
=> 27.5% = 11
=> 100% - 27.5 % = 72.5% (let’s look for the 72.5% of tommy’s total bat hit)
=> Let’s try 40
=> 40 * .725 = 29
Thus we have:
=> 11 + 29 = 40, the total bat of Tommy is 40
Hope this helps you out!
Thanks! :)
Make me brainliest!

5 0

3 years ago