Answer:
Surface area of square box cover is 4x12=48
Step-by-step explanation:
Given cylindrical cup have 2 in of radius and height of 6 in.
It is said that we need to cover the cup leaving top and bottom of cup.
To find how much material to cover:
After covering the cup, square box will be formed around the cup.
As shown in figure, Top view of square cup and box.
One face of box has length of diameter of cup = 2 in and height of box as height of cup = 6 in
Therefore, Area of one face of square box is length x height = 2 x 6 =12
Since, Box having 4 faces
Surface area of square box cover = 4 x area of one face of box
= 4x12=48
2016
To solve this problem, let us find the prime factors of the given numbers:
96
8 x 12
2 x 2 x 2 2 x 2 x 3
2⁵ x 3
144
12 x 12
2 x 2 x 3 2 x 2 x 3
2⁴ x 3²
126
2 x 63
2 7 x 9
2 3 x 3 x 7
2 x 3² x 7
So, the lowest common multiple = 2⁵ x 3² x 7 = 2016
B. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.
I just did it off of A.P.E.X
desmos(dot)com/calculator/gv8jsoui4w
Create a table of appropriate x values e.g. x = 2 and substitute into y=3x which will be y=3*2 meaning y=6 at the point x=2. Repeat with different x values until you have enough points to draw a straight line.