Answer: 42 + 8x = 2 + 12x
Step-by-step explanation: Exterior angle theorem
A function is defined as a mathematical graphical equation, that states that for every value of X there must be one and only one value of y.
For instance the coordinates :
(2,3) and (2,4) do not represent a function, because in both cases the X value is the same and not unique for the points.
7660 million dollars divided by .70 which is the 7/10 in decimal form. Would be 10,942,857.14 dollars
Answer:
8.3%
Step-by-step explanation:
In a simple way, we know that both are independent events, therefore, in the case of the dice it has 6 faces, therefore the probability of 3 coming out is 1/6 and in the case of the coin it only has two options, which means that the probability is 1/2.
Now the final probability is the multiplication of these events, that is:
1/6 * 1/2 = 0.083
Which means that the probability of these two events happening is 8.3%
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.)
