Answer:
Volume of the juice can =
Step-by-step explanation:
Given:



Volume of a cylinder= 
:
Volume of the cylindrical Juice can = 
= 
So, the volume of the juice can is 
Question 3:
Since, EG = EF + FG



x = 13
So, EF = 
= 
So, EF = 24 units.
Question 4:
Since, 
So, 


So, x =2
Question 5:
Since, 
By being congruent, the measures of the segments are equal.
So, 


So, x = 2
Now, XZ = 
XY = 9x - 7 = 
YZ = 3x + 5 
XZ = XY + YZ = 11 + 11 = 22 units.
Question 6:
It is given that 
It means that the measures of these two angles are equal.
Since, measure of angle ABC is 35 degrees.
Therefore, the measure of angle DBE is 35 degrees.
Answer:
Stare at it long enough. You will notice that with each step you double the value, and change sign. It makes it a geometric sequence of ratio -2. At this point you have two ways of writing down:
Option 1: Ricorsively, the first term is -5, then the next term is -2 times the previous one:

Option 2: In closed form, remembering that the n-th term in a geometric sequence is the starting term times the n-th power of the ratio:
Either work, depending on what you need to use it for.
Answer:
y = 2x+4
Step-by-step explanation:
First we need to find the slope using two points
(-2,0) and (0,4)
m = (y2-y1)/(x2-x1)
m = (4-0)/(0--2)
= 4/+2
= 2
we have the y intercept which is 4
Using the slope intercept form of the line
y = mx+b where m is the slope and b is the y intercept
y = 2x+4