Answer:
ln2
Step-by-step explanation:
n --> infinity
Integral of 1/N as N varies from n+1 to 2n
Integral of 1/N = ln(N)
Upper limit - lower limit
ln(2n) - ln(n + 1)
ln[2n/(n + 1)]
ln[2/(1 + 1/n)]
As n --> infinity,
1/n --> 0
ln[2/(1 + 1/n)] --> ln2
Answer:
The answer is -2
Step-by-step explanation:
you subtract common numbers, so:
5s - 3s = 2s
Then,
-6 + 2 = -4
You would then get
2s - 4
divide -4 by 2 which is -2
and your answer is s = -2
Answer:
97
Step-by-step explanation:
Arc AT = angle at the center 97°
Answer:
The value of x is 3
Step-by-step explanation:
The stage is rectangular in shape.
The formula for area of a rectangle is:
Length × Width
Length = 24 feet
Width = 4x + 4 feet
Hence:
384 = (4x + 4) × (24)
384 = 96x + 96
Collect like terms
384 - 96 = 96x
288 = 96x
x = 288/96
x = 3
The value of x is 3
Answer:
x=14
y=140
Step-by-step explanation:
Using (9x+14) + (3x-2) = 180, we can solve this equation.
First add like values giving you 12x+12=180. Then subtract 12 from both sides giving you 12x=168.
Then divide both sides by 12 giving you x=14.
Finally, just simply set 9x+14 equal to y and substitute x for 14. This gives you 140=y
Hope this helped
