Answer: Graph D
Step-by-step explanation:
The slope is 2
x goes after the slope in graph functions
The line goes through 3 on the y-axis so that’s where + 3 comes in.
2x + 3
Answer:
Both volumes are the same
Step-by-step explanation:
Volume of cylinder = 

r = radius
h = height
Since area of the circle is given on top,
Area of a circle = 

We know the area is 12
12 = 
(we need to find r)
r = 
r = 1.954
Now we can find the cylinder's volume:
Volume of cylinder = 
(6)
Volume of cylinder = 72
To find the volume of the cuboid, we use
Volume of cuboid = lwh
l = length
w = width
h = height
Volume of cuboid = 6 x 4 x 3
Volume of cuboid = 72
This proves that both the volumes are the same.
Answer:
f(-2) = 1.
Step-by-step explanation:
If we are solving for f(-2), we will simply need to substitute in '-2' for 'x'. This gives us:
f(-2) = -2 + 3
f(-2) = 1.
The height and radius that will give us the smallest amount of paper, should have should have the perfect dimension, in that the diameter should be equal to the height. thus let the diameter be x, the height will be x and the radius will be x/2
thus the volume of the cone will be:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
=0.262x^3
hence the value of x will be:
33=0.262x^3
x^3=125.95
x=(125.95)^(1/3)
x=5.0126=5.01 cm
thus the diameter=height=5.01cm
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