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Romashka-Z-Leto [24]
3 years ago
11

10. Which causes the pH of a solution to increase?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0

Answer:

By adding in a base or an alkaline

Step-by-step explanation:

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The first term in a geometric sequence is 54, and the 5th term is 2 / 3. Find an explicit form for the geometric sequence.
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Answer:  ar^{n-1}=54(\dfrac{1}{3})^{n-1}

Step-by-step explanation:

The nth term for a geometric sequence is given by :-

a_n=ar^{n-1}    (1)

We are given that The first term in a geometric sequence is 54. i.e. a=54

5th term=\dfrac{2}{3}   (2)

Put n=5 and a= 54 in (1), we get

a_5=(54)r^{4}=     (3)

From (2) and (3), we have

\Rightarrow(54)r^{4}=\dfrac{2}{3}\\\\\Rightarrow r^4=\dfrac{2}{3}\times\dfrac{1}{54}=\dfrac{1}{3\times27}=\dfrac{1}{81}\\\\\Rightarrow\ r=(\dfrac{1}{81})^{\frac{1}{4}}=\dfrac{1}{3}

Explicit form for the geometric sequence: ar^{n-1}=54(\dfrac{1}{3})^{n-1}

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I need 4 1/2 teaspoons of butter but i only have 1/8 measuring cup how many 1/8 of butter do i need?
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Step-by-step explanation:

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