Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.
Work:
In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.
So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.
25/2 = 12.5
That means, the vehicle is traveling at a speed of 12.5 mph.
Thus, the average speed of the vehicle is 12.5 miles per hour (mph).
Answer:
The correct answer is C! :)
Step-by-step explanation:
Domain is [-1,3)
Range is (-5, 4]
A () bracket means the value IS NOT included, a [] bracket means the value IS included in interval notation.
Answer:4+10i
Step-by-step explanation:
6+15i-2-5i
4+10i
Answer:
![\sqrt[7]{x^{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B4%7D%7D)

![(\sqrt[7]{x})^{4}](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7Bx%7D%29%5E%7B4%7D)
Step-by-step explanation:
we have

Remember the properties
![\sqrt[n]{a^{m}}=a^{\frac{m}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%7D%3Da%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D)

so
<u><em>Verify each case</em></u>
Part 1) we have
![\sqrt[4]{x^{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B7%7D%7D)
we know that
![\sqrt[4]{x^{7}}=x^{\frac{7}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B7%7D%7D%3Dx%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D)
Compare with the given expression

Part 2) we have
![\sqrt[7]{x^{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B4%7D%7D)
we know that
![\sqrt[7]{x^{4}}=x^{\frac{4}{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B4%7D%7D%3Dx%5E%7B%5Cfrac%7B4%7D%7B7%7D%7D)
Compare with the given expression

therefore
Is equivalent to the given expression
Part 3) we have

we know that

Compare with the given expression

therefore
Is equivalent to the given expression
Part 4) we have
we know that

Compare with the given expression

Part 5) we have
![(\sqrt[4]{x})^{7}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7Bx%7D%29%5E%7B7%7D)
we know that
![(\sqrt[4]{x})^{7}=(x^{\frac{1}{4}})^{7}=x^{\frac{7}{4}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7Bx%7D%29%5E%7B7%7D%3D%28x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%29%5E%7B7%7D%3Dx%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D)
Compare with the given expression

Part 6) we have
![(\sqrt[7]{x})^{4}](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7Bx%7D%29%5E%7B4%7D)
we know that
![(\sqrt[7]{x})^{4}=(x^{\frac{1}{7}})^{4}=x^{\frac{4}{7}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7Bx%7D%29%5E%7B4%7D%3D%28x%5E%7B%5Cfrac%7B1%7D%7B7%7D%7D%29%5E%7B4%7D%3Dx%5E%7B%5Cfrac%7B4%7D%7B7%7D%7D)
Compare with the given expression

therefore
Is equivalent to the given expression