Remember
![x^ \frac{m}{n} = \sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%20%5Cfrac%7Bm%7D%7Bn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bx%5Em%7D%20)
and
and
(x^m)^n=x^(mn)
so
![((7x^3)(y^2))^ \frac{2}{7} = \sqrt[7]{((7x^3)(y^2))^2}](https://tex.z-dn.net/?f=%20%28%287x%5E3%29%28y%5E2%29%29%5E%20%5Cfrac%7B2%7D%7B7%7D%20%3D%20%5Csqrt%5B7%5D%7B%28%287x%5E3%29%28y%5E2%29%29%5E2%7D%20)
=
![\sqrt[7]{((7x^3)^2(y^2)^2)}](https://tex.z-dn.net/?f=%20%5Csqrt%5B7%5D%7B%28%287x%5E3%29%5E2%28y%5E2%29%5E2%29%7D%20)
=
![\sqrt[7]{((7^2x^6)(y^4))}](https://tex.z-dn.net/?f=%20%5Csqrt%5B7%5D%7B%28%287%5E2x%5E6%29%28y%5E4%29%29%7D%20)
=
![\sqrt[7]{((49x^6)(y^4))}](https://tex.z-dn.net/?f=%20%5Csqrt%5B7%5D%7B%28%2849x%5E6%29%28y%5E4%29%29%7D%20)
=
![\sqrt[7]{49x^6y^4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B7%5D%7B49x%5E6y%5E4%7D%20)
and
and
(x^m)^n=x^(mn)
so
Sean has a collection of coins. One tenth of the coins are from Europe. Thirty-two hundredth are from Asia. The rest are from Af
2 answers:
Answer: 0.42
Step-by-step explanation:
Let the total number of coins be x.
The part of coins are from Europe =
Then, the number of coins from Europe =
The part of coins are from Asia =
The number of coins from Asia=
Now, the number of coins from Europe or Asia =
Hence, the total part of the coins that are from Europe or Asia=0.42
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Answer:
At the start of 2014, the population was growing at 8.34 million people per year.
At the start of 2015, the population was growing at 8.39 million people per year.
Step-by-step explanation:
To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.
The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).
We know that the population, P(t), of China, in billions, can be approximated by
To find the derivative you need to:
To find the population growing at the start of 2014 we say t = 0
To find the population growing at the start of 2015 we say t = 1
To convert billion to million you multiple by 1000