What are we solving for? Is there a question that goes along with it or any multiple choice answers?
Answer:
111113111114111113 and 111111131111111411111113
Step-by-step explanation:
Here we want to know the next two numbers in the sequence.
The key here is that we shall be placing the same number of digit 1 between each of the digits 3 4 3
We went from a single 1 to triple, so the next will be 5 digit 1 and the next will be 7 digit 1
So the next number after the third will be;
111113111114111113
The next number after this will be;
111111131111111411111113
Answer:b
Step-by-step explanation:
Let x ft be the length of the base square and y ft be the height of the box.
The volume of the box is
Since the box has a volume of 15 cubic feet, then
You need to construct two squares from the metal that cost $3 per square foot.
The area of each square is 
and the total cost for these two squares is 
The area of each side face is 
Then the total cost for sides is 
Let S(x) be the function that represents total cost of the box, then
Find the derivative:
When 
then ![12x-\dfrac{600}{x^2}=0,\\ \\12x^3=600,\\ \\x^3=50,\\ \\x=\sqrt[3]{50}\ ft.](https://tex.z-dn.net/?f=12x-%5Cdfrac%7B600%7D%7Bx%5E2%7D%3D0%2C%5C%5C%20%5C%5C12x%5E3%3D600%2C%5C%5C%20%5C%5Cx%5E3%3D50%2C%5C%5C%20%5C%5Cx%3D%5Csqrt%5B3%5D%7B50%7D%5C%20ft.)
The dimensions of the box are:
length and width - ![\sqrt[3]{50}\ ft](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B50%7D%5C%20ft)
height - ![\dfrac{15}{\sqrt[3]{2500}}\ ft.](https://tex.z-dn.net/?f=%5Cdfrac%7B15%7D%7B%5Csqrt%5B3%5D%7B2500%7D%7D%5C%20ft.)
