Answer:
The statement in the question is wrong. The series actually diverges.
Step-by-step explanation:
We compute
Therefore, by the series divergence test, the series 
diverges.
EDIT: To VectorFundament120, if 
is a sequence, both 
and 
are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.
3*4*3-2*4^2 = 36-32 = 4
hope helped
Hi! I'm happy to help!
Our total line is JL (4x), and it is split into two parts: JK, and KL. We have our values, and we know that JK+KL=JL, so we can substitute our values and solve for x:
4x=(2x+3)+(x)
4x=3x+3
To solve for x, we have to isolate it on one side of the equation.
First, let's subtract 3x from both sides so that we can isolate x:
4x=3x+3
-3x -3x
x=3
<u>So, our x=3, which means that KL=3.</u>
I hope this was helpful, keep learning! :D
Answer:
Number of children, x= 400
Number of adults, y = 100
Step-by-step explanation:
Let the number of children be x
Let the number of adults be y
Given : Total number of people, x + y = 500 --------(1)
Total amount collected, 5x + 10y = 3000 ---------(2)
(1) => y = 500 - x
Substitute y in (2) : 5x + 10(500 - x) = 3000
5x + 5000 - 10x = 3000
-5x = 3000 - 5000
-5x = -2000
x = 400
Substitute x in (1) : 400 + y = 500
y = 500 - 400
y = 100
Answer:
XY (height) is approximately 20.8 feet
Step-by-step explanation:
let h = XY
tan60° = h/12
h = 12·tan60°
h = 20.78 ft
