Use estimation to determine which of the following numbers are between 4.5 and 4.9.
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Let's look at the options:

First, we look at the first one -

We know that and , which means that has to be between 3 and 4. So that choice is eliminated.

Then, there is . and are the nearest perfect cubes that we know, and the range of 4.5 and 4.9 is within 4 and 5. So that could be a possible answer. But let's review the other options too.

Next up is . We know that is about 3.1415, so is about 6.283. This option is off by approximately 1, so that can't be a correct option.

Continuing, we have . We know that the perfect squares on the left and the right is and . So this is also a possible answer.

Following, the choice is . On the sides we have perfect cubes of and . Since it is leaning close to the cube root of 125, this is a possible answer.

Lastly, we have . This is equivalent to . That is about 14.13, which is way off the range. So this alternative has been eliminated.

Looking back, we can see the possible outcomes are the options . Apparently,   is about 4.4, right off the range. is about 4.7, which clearly is in the range, and finally is so close to failing the range, about 4.86. This leaves us with the last two choices as our answer.

To conclude, our answers are options 4 and 5, and .

the answer is 288..

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