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Juli2301 [7.4K]
3 years ago
6

Express -32/243 into power notation​

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

This problem can take a while if you cannot observer the answer quickly.

First of all we can see that 32=2*2*2*2*2=2^5

243, if you don't know its actually is 3^5

Now we can see that this turns into...

- 2^5/3^5

since the 5th power doesn't change the sign of the original number, we can put the negative in the ( ), if you don't know what I mean look below

(-3)^2=9 Positive

(-3)^3=-27 Negative since its to the odd power it keeps the sign.

This problem can be simplified to.

(-2/3)^5

And this is the answer :D

If you have any questions just put them in the comments.

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A square mosaic is made of small glass squares. If there are 256 small squares in the mosaic how many are along an edge?
Degger [83]
To do this, you got to square 256.

The square root of 256 is 16.

Therefore, there are 16 small squares on each edge of the mosaic.

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25 squares. Square root is 5. 5 along each edge. My work shares same concept.

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There are 256 squares, and you can count 16 on each edge. this shows 16 times 16, or 16 squared, which is 256.

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3 years ago
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PLEASE HELP ASAP!!
BabaBlast [244]

Answer:

The first term of the sequence is -120.

Step-by-step explanation:

The formula for the "nth" term of a geometric sequence is shown below:

an = a0*r^(n-1)

Where an is the nth term, r is the ratio and n is the position of the term on the sequence. For this problem we want to find what is the initial term, a0, so we will isolate it in the formula as shown below:

a0*r^(n-1) = an

a0 = an/[r^(n-1)]

We then apply the data given to us

a0 = 31.45728/[-0.8^(7-1)]

a0 = 31.45728/[-0.8^6] =31.45728 /-0.262144= -120

The first term of the sequence is -120.

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153 - (44 x 2) = 65

<h3>So the starting amount was 65.</h3>

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<h3>The answer to B is the second option, because it is true that the amount of water is increasing. This is by 44 gallons per 4 minutes.</h3>

The amount of gallons per minute can be found out by dividing the amount by 4:

44 ÷ 4 = 11

<h3>So it is 11 gallons per minute.</h3>
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