The series as represented in the task content is divergent and hence; diverges.
<h3>What convergence and divergence in series?</h3>
It follows from the task content that the series defined by the summation expression as represented above is to be identified as divergent or convergent.
It is noteworthy to know that;
If a sequence converges, it means that the limit of the sequence exists as n → ∞. Also, if the limit of the sequence as n → ∞ does not exist, Then, such series is said to diverges.
Therefore, by evaluation as the limit of the expression k sin²k / 1 + k³ as k → ∞ is; Undefined and hence does not exist.
Read more on convergence and divergence of series;
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Your answer is A, that $56 + (-$2) + (-$3)
Answer:
Step-by-step explanation:
1) 2x -y = 1 -------1
3x - y = -6 ------2
Subtract eqn 2 from eqn 1
-x = 1--6 = 7
x = -7
Put x= -7 in eqn 1
2*-7-y = 1
-14-y = 1
- y = 15
y = -15
2) 4x +2y = 10------1
y = 4x + 2--------2
Put eqn 2 in eqn 1
4x + 2 ( 4x+ 2) = 10
4x + 8x + 4 = 10
12x = 6
x = 6/12 = 1/2
Put x = 1/2 in eqn 2
y = 4* 1/2 + 2= 2 + 2
= 4
3) 6x - y = 2------1
y = 3x + 4---------2
Put eqn 2 in eqn 1
6x - (3x +4) = 2
6x - 3x - 4 = 2
3x = 6
x = 2
y = 3*2 + 4 = 6 + 4
= 10
Answer:
Step-by-step explanation:
<u>Given vertices WXYZ:</u>
- W(-4,5), X(2,4), Y(3, -4), Z(-1, -6)
Perimeter is the sum of the side length.
<u>Use distance formula to find each side:</u>
- WX =
≈ 6.08 - XY =
≈ 8.06 - YZ =
≈ 4.47 - WZ =
≈ 11.40
<u>Find perimeter:</u>
- P = 6.08 + 8.06 + 4.47 + 11.40 = 30.01 units
Answer:
The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.
Step-by-step explanation:
Lets solve!
We have to find out how much of the candle needs to be burned!
14cm - 6cm = 8cm
The candle must burn 8cm in 4 hours!
Lets find out how much the candle burns in 1 hour.
= 2cm per hour
The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.
Woohoo, We did it! <u>Would you like to mark my answer as brainliest?</u> I would love that!
