Answer:
It must travel through a medium
Step-by-step explanation: Because I said so >:(
Answer:
y = 2x+8
Step-by-Step Explanation:
The equation should be in the form of y=mx+b
So you already know it's not A. Also you already know it's not D because the line goes at an angle, if "m"(slope) was 0 then the line would be straight horizontal or straight vertical. So that leaves B and C. And finally you know it's not B because the line is going in the positive direction not negative, so the slope has to be positive, also "b" in the equation is the y-intercept, and that's where the line intersects with the y-axis, and you can see that the line intersects at 8 on the graph. Therefore, the answer is C, y=2x+8
Hope this helps!! :)
True. The domain of the function gives all real numbers.
Answer:
Step-by-step explanation:
Let the side of the square base be x
h be the height of the box
Volume V = x²h
13500 = x²h
h = 13500/x² ..... 1
Surface area = x² + 2xh + 2xh
Surface area S = x² + 4xh ...... 2
Substitute 1 into 2;
From 2; S = x² + 4xh
S = x² + 4x(13500/x²)
S = x² + 54000/x
To minimize the amount of material used; dS/dx = 0
dS/dx = 2x - 54000/x²
0 = 2x - 54000/x²
0 = 2x³ - 54000
2x³ = 54000
x³ = 27000
x = ∛27000
x = 30cm
Since V = x²h
13500 = 30²h
h = 13500/900
h = 15cm
Hence the dimensions of the box that minimize the amount of material used is 30cm by 30cm by 15cm
If you draw a rectangle divided up into eight even parts, and label them each as 1/8, then you can show your work for how you double it. You do this by "coloring" one in, and then doing the same for a second piece (but color that one in a different way). You can visually double an eighth in that way.
Or, you can simply multiply by 2 to double 1/8:
1/8x2/1=2/8
