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o-na [289]
3 years ago
13

What is the common ratio of 9, 81, 729. -6561

Mathematics
1 answer:
Gekata [30.6K]3 years ago
6 0

Given:

Consider the given sequence is 9, 81, 729, 6561.

To find:

The common ratio.

Solution:

We have,

9, 81, 729, 6561

Here,

First term = 9

Second term = 81

Divide the second term by first term to get the common ratio.

r=\dfrac{81}{9}

r=9

Similarly,

\dfrac{81}{9}=\dfrac{729}{81}=\dfrac{6561}{729}=9=r

Therefore, the common ratio is 9.

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9^x=1/3<br><br> How much is x?
kumpel [21]

Answer:

x = -1/2

Step-by-step explanation:

This question can be solved by applying the laws of indices

In a^n, a - base

n - index

Given

9^x = 1/3

According to the laws of indices, a/b = b^(-a)

Hence we can write, 1/3 = 3^(-1)

9^x = 3^(2x)

Again according to the laws of indices,

a^b = a^n can be written as;

b = n

That is, if in an equation the bases are the same, the indices are also equal.

So we can write,

3^(2x) = 3^(-1)

2x = -1

Divide both sides of the equation by 2, the coefficient of x

2x/2 = -1/2

x = -1/2

6 0
3 years ago
Of fabric costs $5.00 per yard, how much will 7/8 yards cost?
Maksim231197 [3]

Answer: It would be $4.38



Step-by-step explanation: If you divide the $5 by .8 it will give you what 1/8 of it would be then you multiply it by 7 to get the 7/8 of it.


4 0
3 years ago
If you if you traveled 52 ft to -43 feet how far is that
Hitman42 [59]

The answer is 95ft

1. Set up an equation 52-x=-43

2. Subtract 52 from both sides -x=43-52

3. Simplify -x=-95

4. x=95

All the best (if you don't understand the equation let me know if you want help)



8 0
3 years ago
Wren has a 30% chance of being selected as the president of the school sports club and a 80% chance of being elected editor of t
andre [41]
I think 24 might be the answer if not its 15
7 0
3 years ago
Help please i don't want to get held back
grigory [225]

height of mt.= 4000meters

hope it helps...!!!

5 0
2 years ago
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