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belka [17]
3 years ago
6

Please Help!!!

Mathematics
1 answer:
mylen [45]3 years ago
6 0
B and C are absurd; if a series converges, it must have a sum, but if a series diverges, it cannot have a sum.

Now, notice that

\dfrac12+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots=\dfrac12+\dfrac{2^{2-1}}{3^2}+\dfrac{2^{3-1}}{3^3}+\dfrac{2^{4-1}}{3^4}+\cdots

That is, we can write the sum more compactly as

\dfrac12+\dfrac12\displaystyle\sum_{n=1}^\infty\left(\frac23\right)^n

The series is geometric with common ratio \dfrac23, so the series converges (and thereby has a sum), so the answer is D.
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Identify the holes, vertical asymptotes, and horizontal asymptotes of the following.
Andrews [41]

Answer:

Horizontal asymptote: y = 0

Vertical asymptote: x = 3

Step-by-step explanation:

The vertical asymptote in this graph would be when x = 3 because it would make the denominator 0, which would make the equation undefined.

There will not be any holes in the graph, because there won't be any point undefined in the function except for when x = 3, but that's a vertical asymptote.

Now, for the horizontal asymptote, we see what value y approaches as x approaches plus and minus infinity. Since x is in the denominator, y will approach 0 when it's plus or minus infinity.

Horizontal asymptote: y = 0

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MakcuM [25]

Answer:

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Step-by-step explanation:

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3 years ago
Plz help me I suck at math
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4 years ago
Hi :) I need help with q8 , new to this so I’m not sure how to solve it. Thank you sm :))
Marat540 [252]

Step-by-step explanation:

for part a

initial means starting point and starting point is always 0

so the question means number of thousands of bacteria in 0 hours, your n being the number of hours. so in part a u will simply just put 0 as n in equation

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in part b

2^(n+3) means total number of bacteria

2^(n-1) is number of groups

its asking for number of bacteria in each group

so u will simply divide number of bacteria by groups

its like u have 30 candies and there are 5 groups and they ask u to find number of candies in each group so u simply divide 30 by 5

so 2^(n+3)/2^(n-1)

base is same so powers will subtract since there is division sign

2^(n+3-(n-1))

2^(n+3-n+1)

2^(3+1)

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4 years ago
What is the surface area of a cube with a side length of 4 inches?
r-ruslan [8.4K]

Answer:

96in^2

Step-by-step explanation:

because first find the area of two sides (Length*Height)*2 sides.

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3 years ago
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