Start by distributing the exponent to each of the terms in
. This will become
, and
. Now, the expression is:
.
We can now simplify the bottom to read:
because when multiplying variables raised to an exponent, we add the exponents. The expression now looks like:
![\frac{2u^{3} v^{2} }{8u^{5} }](https://tex.z-dn.net/?f=%5Cfrac%7B2u%5E%7B3%7D%20v%5E%7B2%7D%20%7D%7B8u%5E%7B5%7D%20%7D)
The 2/8 simplifies to 1/4:
![\frac{u^{3} v^{2} }{4u^{5} }](https://tex.z-dn.net/?f=%5Cfrac%7Bu%5E%7B3%7D%20v%5E%7B2%7D%20%7D%7B4u%5E%7B5%7D%20%7D)
Now, we have two u terms on the top and bottom. When dividing variables raised to an exponent, we subtract the exponents. However, since 3-5=-2, the term will be on the bottom to avoid the negative exponent. The final answer is:
![\frac{v^{2} }{4u^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7Bv%5E%7B2%7D%20%7D%7B4u%5E%7B2%7D%20%7D)
Hope this makes sense!!
With continuous data, it is possible to find the midpoint of any two distinct values. For instance, if h = height of tree, then its possible to find the middle height of h = 10 and h = 7 (which in this case is h = 8.5)
On the other hand, discrete data can't be treated the same way (eg: if n = number of people, then there is no midpoint between n = 3 and n = 4).
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With that in mind, we have the following answers
1) Continuous data. Time values are always continuous. Any two distinct time values can be averaged to find the midpoint
2) Continuous data. Like time values, temperatures can be averaged as well.
3) Discrete data. Place locations in a race or competition are finite and we can't have midpoints. We can't have a midpoint between 9th and 10th place for instance.
4) Continuous data. We can find the midpoint and it makes sense to do so when it comes to speeds.
5) Discrete data. This is a finite number and countable. We cannot have 20.5 freshman for instance.
Rounding 2.199. The tenths digit is 1, which is 4 or less, so you will round down. Re-write 2.199 without the decimal places: 2 . So 2.199 rounds to 2.
Answer:
Step-by-step explanation:
4037 in standard form
4037=4.037*10^3
Answer:
V=75 in 3 9 in. 17 in. There are 1 more cubic inches of sand in the pyramid with the greater volume.
Step-by-step explanation: