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Rufina [12.5K]
4 years ago
11

He first term of a sequence is 2, and each subsequent term is the reciprocal of the square of the preceding term. what is the po

sitive square root of the fifth term?
Mathematics
1 answer:
polet [3.4K]4 years ago
4 0
The first term is a₁ = 2.
Each subsequent term is the reciprocal of the square of the preceding term.

2nd term:
a₂ = 1/2² = 1/4

3rd term:
a₃ = 1/(1/4)² = 1/(1/16) = 16

4th term:
a₄ = 1/16² = 1/256

5th term:
a₅ = 1/(1/256)² = 1/(1/65536) = 65536
The positive square root of the fifth term is
√(65536) = 256

Answer: 256
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3 years ago
Solve the system of linear equations by substitution
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There is the equal values method, so you can do:

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Check: (by plugging it into the equation)
y = 2-4 and y = 8-10
y = -2 and y = -2
that's matches so it is correct...
 YOUR ANSWER IS:
(2, -2)

I hoped I helped sort things out, and have a great day!
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3 years ago
Read 2 more answers
|3d-3n|-4 if n=2 and d=3
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Answer:

-1

Step-by-step explanation:

|3d-3n|-4

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|3d-3n| \geq 0

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|3(3)-3(2)|-4

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6 0
3 years ago
Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase
katovenus [111]

Answer:

She can create a function for the total savings in terms of the time x by adding the two functions together. The new function should look like this:

T(x)=S(x)+a(x)

So now we can substitute the given functions:

T(x)=450+6(x-2)

But this function can be simplified for it to be easier for her to calculate her total amount of savings. We can do that by distributing the 6 into the parenthesis. This is, multiply the 6 by both the x and the -2, so we get:

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3 0
3 years ago
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Factor the GCF: 12a^3b + 8a^2b^2 — 20 ab^3
geniusboy [140]

Answer:

GCF is 4ab

And the expression will be: 4ab ( 3a^2+2ab-5b^2)

Step-by-step explanation:

Factor the GCF :

12a^3b + 8a^2b^2-20 ab^3

We need to find the common terms that are common in each of the term given above

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a is common in all terms and b is also common in all terms,

So, GCF is 4ab

Taking 4ab common

12a^3b + 8a^2b^2-20 ab^3=4ab ( 3a^2+2ab-5b^2)

5 0
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