Answer:
ways
Step-by-step explanation:
Given that a shelf contains n separate compartments. There are r indistinguishable marbles
The marbles are identical so they can be placed in any order.
Let us consider the places available for placing these r marbles
No of compartments available =n
Marbles to be placed = r
Since marbles are identical and order does not matter
number of ways the r marbles can be placed in the n compartments
= nCr
=
its y= -2/3x + 22/3
if you look below at the graph you can see the black line which is C goes right through the point (2,6)
i wanted to clear any confusion because the other answer isnt correct :)!
First you need to break it down. If Kai picked 11 times more blueberries then Nico, the amount of blueberries he picked multiplied by the amount of blueberries Kai picked would be 936. Nico had to have picked more blueberries then ten, because 10x11 is only 110, and that isnt 936. He had to have picked more then 20, because 20x11 is 222. And he picked more then 30 because 30x11 is only 333. Normally I would keep on doing this, and soon you will get to 85. Thats your answer, and i hope i kinda helped you
Answer:
area = 62ft
Step-by-step explanation:
Answer:
Given the series,
∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)
So,
∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞
There are different types of test to show if a series converges or diverges
So, using Ratio test
Lim n → ∞ (a_n+1 / a_n)
Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))
Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))
Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)
Lim n→ ∞ (-1/2)^(n-n+1)
Lim n→ ∞ (-1/2)^1 = -1/2
Since the limit is less than 0, then, the series converge...
Sum to infinity
Using geometric progression formula
S∞ = a / 1 - r
Where
a is first term
r is common ratio
So, first term is
a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1
a_1 = -4
Common ratio r = a_2 / a_1
a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2
a_2 = 2
Then,
r = a_2 / a_1 = 2 / -4 = -½
S∞ = -4 / 1--½
S∞ = -4 / 1 + ½
S∞ = -4 / 3/2 = -4 × 2 / 3
S∞ = -8 / 3 = -2⅔
The sum to infinity is -2.67 or -2⅔
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Step-by-step explanation: PHEW THAT TOOK A WHILE LOL IM A FAST TYPER</h2>
