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Svetllana [295]
4 years ago
10

Convergent or divergent?

Mathematics
1 answer:
navik [9.2K]4 years ago
6 0

Answer:

Convergent

Step-by-step explanation:

This is an alternating series where bn = 2n / eⁿ.  Apply the alternating series test:

lim(n→∞) bn

= lim(n→∞) (2n / eⁿ)

Use L'hopital's rule:

= lim(n→∞) (2 / eⁿ)

= 0

For n ≥ 1, the series is decreasing. 2(n+1) / eⁿ⁺¹ < 2n / eⁿ.

Therefore, the series converges.

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Y=<br> Pls help solve for
miss Akunina [59]

Answer:

y=39\degree

Step-by-step explanation:

The given triangle is a right angle triangle .

The known sides of the triangle that is opposite to angle y is 8 units while the side adjacent is 10 units.

The value of y can be calculated using the tangent ratio.


\tan(y)=\frac{8}{10}

We solve for y to get,

y=arctan(\frac{4}{5})

We evaluate to obtain,

y=38.66


y=39\degree to the nearest degree


8 0
3 years ago
What is the solution of the system of equations c + 4d = 8 and c = 4d - 6
Tema [17]
Rewrite the second equation in same form as the first So we have

c + 4d = 8

c - 4d = -6     Now add:-

2c + 0 = 2
2c = 2

c = 1  

Now substitute c = 1 in the first equation:-

1 + 4d = 8
4d = 7

d =  7/4  = 1 3/4

Answer c = 1 and d = 1 3/4  Answer
3 0
4 years ago
Read 2 more answers
What is 4/9 times what equals 12
Dimas [21]

Step-by-step explanation:

4/9A = 12

A = 12×9/4

= 27

......

5 0
4 years ago
HELP ASAP PLEASE <br> Find the area of the figure.
WITCHER [35]

Answer:

39.82

Step-by-step explanation:

to find the entire area of the figure, you'll have to split it up into two parts:

   a. triangle

   b. semi-circle

therefore, the formula for the area of a triangle is 1/2(base)(height). in simpler terms, it means to multiply 1/2 by the base and the height. in this case, multiply 1/2 x 5 x 12, which gives you 60/2, which ultimately gives you 30.

to find the area of the semi circle, use the area formula for a circle and divide the area by 2. the formula is: πr^{2}. so, plug in your lengths. this gives you, π(5)^2. divide this by two. you should get an answer of 9.82

finally, add your two areas (30+9.82), which equals 39.82

hope this helps!<3

4 0
2 years ago
Identify the number that does not belong with the other three. Explain your reasoning. negative 10 over 2, negative 13.4, square
ikadub [295]
-10/2 = rational number
-13.4 = rational number
sqrt 18 = irrational number
22.7(repeating) = rational number

the oddball is sqrt 18 :)
7 0
3 years ago
Read 2 more answers
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