In how many distinct ways can the letters of the word mathematics be arranged? (first, does the order matter?)
1 answer:
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Answer: Choice A)
This is the same as writing 14^3
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Explanation:
Since all the sides are 14 feet long, we can basically say length = width = height = 14.
Or put another way:
- length = 14
- width = 14
- height = 14
The volume of the cube is length*width*height = 14*14*14 = 14^3 = 2744 cubic feet.
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The term 14^3 has a base of 14 and exponent of 3.
The base is what we multiply out while the exponent tells us how many copies of the base to multiply. In this problem, we have 3 copies of 14 being multiplied. So that's why 14^3 = 14*14*14
If you were to say something like 3^14, then you would have 14 copies of 3 multiplied out, which is a much larger value. So we'll cross choice B off the list.
Choice C isn't correct either since again we're using exponents and not multiplication to tie together the 14 and 3.
Choice D would be correct if your teacher wanted it in expanded form, instead of exponent form.
Average = Mean
To find the mean, add up the numbers and divide it by how many numbers there are.
So,
There are 5 numbers in total.
To do these types of division, ignore the decimal and add a 0 at the end.
So we can do:
And put back the decimal.
Hope this helps :)
To find the mean, add up the numbers and divide it by how many numbers there are.
So,
There are 5 numbers in total.
To do these types of division, ignore the decimal and add a 0 at the end.
So we can do:
And put back the decimal.
Hope this helps :)