k=2
Step-by-step explanation:
since all the base are 10 you use the powers to solve it.
so it would be -3+1+k=-3=-3
Answer:

Step-by-step explanation:
The point slope form of a line is
where
. We write
Convert point slope form to slope intercept form by simplifying and rearranging.

Answer:
(x+16)^2=20^2+x^2
Step-by-step explanation:
Given there was no bending of the tree, the Pitagorean Theory would help finding the value of the trees hight.
x^2+32x+16^2=400+x^2
32x=(20-16)×(20+16)
x=144/32
x=4m and 50cm
Answer:
1
Step-by-step explanation:
I believe the answer is one but I'm not 100% sure
Answer:
Side of 22 and height of 11
Step-by-step explanation:
Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:


As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank
Base area with open top 
Side area 4sh
Total surface area 
We can substitute 


To find the minimum of this function, we can take the first derivative, and set it to 0



![s = \sqrt[3]{10648} = 22](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%5B3%5D%7B10648%7D%20%3D%2022)
