Answer:
22 hours
Step-by-step explanation:
if you take 300-95 you get 205 from there, you take 205 and divide by nine to see how much money Emma has to rent the car. you would get 22.7 repeating. therefore, she can rent a car for 22 hours.
Answer:
try 35
Step-by-step explanation:
wow rly? delete my answer?
basically the angle 35 is on a parallel line which means that the angle opposite must be 35 as well since they are vertically opposite angles which makes them the same
then you use the alternate angles to work out the angle below 72 which will be 35
then lastly x should be 35 since vertically opposite angles are the same
f(x) = x² + 2
y = x² + 2
x = y² + 2
x - 2 = y²
√(x - 2) = y
√(x - 2) = f⁻¹(x)
Let's recall that in a parallelogram:
1. The opposite sides are paralell
In our exercise. sides CZ and KG are paralell. And so do sides KC and GZ.
2. Those opposite sides are equal in length.
3. The opposites angles are equal. In our exercise, angle C and G are equal and so do angles K and Z.
4. That also mean that the angles at the top of the figure are supplementary. It means they add up to 180 degrees. We have the same situation with the two angles at the bottom of the parallelogram.
In our case then:

Now, we can find the measure of angles K and Z, as follows:

Answer:
The equivalent expression to the givan expression is
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}=12\sqrt[4]{4}m^3k^3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D%3D12%5Csqrt%5B4%5D%7B4%7Dm%5E3k%5E3)
Step-by-step explanation:
Given expression is 4th root of 324m^12 * the cubed root of 64k^9
The given expression can be written as
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D)
To find the equivalent expression to the given expression :
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D)
![=\sqrt[4]{81\times 4m^{12}}\times\sqrt[3]{16\times 4k^9}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B81%5Ctimes%204m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B16%5Ctimes%204k%5E9%7D)
![=\sqrt[4]{3\times 3\times 3\times 3\times 4m^{12}}\times\sqrt[3]{4\times 4\times 4k^9}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B3%5Ctimes%203%5Ctimes%203%5Ctimes%203%5Ctimes%204m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B4%5Ctimes%204%5Ctimes%204k%5E9%7D)
![=\sqrt[4]{3\times 3\times 3\times 3\times 4m^{12}}\times\sqrt[3]{4\times 4\times 4k^9}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B3%5Ctimes%203%5Ctimes%203%5Ctimes%203%5Ctimes%204m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B4%5Ctimes%204%5Ctimes%204k%5E9%7D)
![=(3\times \sqrt[4]{m^{12}})\times (4\times \sqrt[3]{k^9})](https://tex.z-dn.net/?f=%3D%283%5Ctimes%20%5Csqrt%5B4%5D%7Bm%5E%7B12%7D%7D%29%5Ctimes%20%284%5Ctimes%20%5Csqrt%5B3%5D%7Bk%5E9%7D%29)
![=(3\times \sqrt[4]{4m^{12}})\times (4\times \sqrt[3]{k^9})](https://tex.z-dn.net/?f=%3D%283%5Ctimes%20%5Csqrt%5B4%5D%7B4m%5E%7B12%7D%7D%29%5Ctimes%20%284%5Ctimes%20%5Csqrt%5B3%5D%7Bk%5E9%7D%29)
![=(3\times \sqrt[4]{4}\times (m^{12})^{\frac{1}{4}})\times (4\times {(k^9)^{\frac{1}{3}})](https://tex.z-dn.net/?f=%3D%283%5Ctimes%20%5Csqrt%5B4%5D%7B4%7D%5Ctimes%20%28m%5E%7B12%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%29%5Ctimes%20%284%5Ctimes%20%7B%28k%5E9%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29)
![=(3\sqrt[4]{4}\times m^{\frac{12}{4}})\times (4\times k^{\frac{9}{3}})](https://tex.z-dn.net/?f=%3D%283%5Csqrt%5B4%5D%7B4%7D%5Ctimes%20m%5E%7B%5Cfrac%7B12%7D%7B4%7D%7D%29%5Ctimes%20%284%5Ctimes%20k%5E%7B%5Cfrac%7B9%7D%7B3%7D%7D%29)
![=(3\sqrt[4]{4}\times m^3)\times (4\times k^3)](https://tex.z-dn.net/?f=%3D%283%5Csqrt%5B4%5D%7B4%7D%5Ctimes%20m%5E3%29%5Ctimes%20%284%5Ctimes%20k%5E3%29)
![=3\sqrt[4]{4}m^3.4k^3](https://tex.z-dn.net/?f=%3D3%5Csqrt%5B4%5D%7B4%7Dm%5E3.4k%5E3)
![=12\sqrt[4]{4}m^3k^3](https://tex.z-dn.net/?f=%3D12%5Csqrt%5B4%5D%7B4%7Dm%5E3k%5E3)
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}=12\sqrt[4]{4}m^3k^3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D%3D12%5Csqrt%5B4%5D%7B4%7Dm%5E3k%5E3)
Therefore the equivalent expression to the given expression is
![\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}=12\sqrt[4]{4}m^3k^3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324m%5E%7B12%7D%7D%5Ctimes%5Csqrt%5B3%5D%7B64k%5E9%7D%3D12%5Csqrt%5B4%5D%7B4%7Dm%5E3k%5E3)