Answer:
![6^4](https://tex.z-dn.net/?f=6%5E4)
Step-by-step explanation:
We'd solve the exponents first:
![6^5 = 7776](https://tex.z-dn.net/?f=6%5E5%20%3D%207776)
![6^4 = 1296](https://tex.z-dn.net/?f=6%5E4%20%3D%201296)
Subtract:
7776 - 1296 = 6480
Divide:
![6480\div5 = 1296](https://tex.z-dn.net/?f=6480%5Cdiv5%20%3D%201296)
We already know ![6^4 = 1296](https://tex.z-dn.net/?f=6%5E4%20%3D%201296)
Our answer is ![6^4](https://tex.z-dn.net/?f=6%5E4)
Step-by-step explanation:
Since the focus lies on the x axis, and the diretcrtirx is a vertical line, we have a sideways parabola so we have the equation
![(y - k) {}^{2} = 4p(x - h)](https://tex.z-dn.net/?f=%28y%20-%20k%29%20%7B%7D%5E%7B2%7D%20%20%3D%204p%28x%20-%20h%29)
where h,k is the vertex and
p is the distance from the vertex to the focus or the distance fromcthe vertex to the directrix.
Since the focus is 1.5, and the directrix is -1.5 the vertex is (0,0) so we have
![y {}^{2} = 4px](https://tex.z-dn.net/?f=y%20%20%7B%7D%5E%7B2%7D%20%20%3D%204px)
We know p is 1.5 so we have
![{y}^{2} = 6x](https://tex.z-dn.net/?f=%20%7By%7D%5E%7B2%7D%20%20%3D%206x)
![\frac{1}{6 } {y}^{2} = x](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%20%20%7D%20%7By%7D%5E%7B2%7D%20%20%20%3D%20x)
Answer:
ok so first he drives 3 hours
then he drives for the same amount plus a hour so 3+1=4
he drives for 4 more hours
then he stops and drives some more 3+4=7
hes driven 7 hes driving for 9 in to total so his last segment is 2 hours.
2 hours
Hope This Helps!!!
First calculate how many cookies makes in one hour and then I calculate the number of cookies he makes in nine hours