Answer:
Answer: the vase contains 1017.36 inches³ of soil.
Step-by-step explanation:
We would apply thee formula for determining the volume of a cylinder which is expressed as
Volume = πr²h
Where
h represents the height of the cylinder
r represents the radius of the cylinder.
π is a constant whose value is 3.14
From the information given
Diameter = 12 inches
Radius = diameter /2 = 12/2
Radius = 6 inches
Height = 12 inches
Therefore,
Volume of the cylindrical vase =
3.14 × 6² × 12 = 1356.48 inches³
If the vase is filled 3/4 full of soil, then the volume of soil in the vase is
3/4 × 1356.48 = 1017.36 inches³
Answer:
x = 24
Step-by-step explanation:
y= -16
-16 x 6 = -96
y= -96
x= 4
4 x 6 = 24
x=24
Answer:
y = 3x + 2
Step-by-step explanation:
The equation for two points on a line is generated from the straight line equation y = mx + b ---------------- eqn (i)
where m, the slope = (y2 - y1) / (x2 - x1)
therefore for (0,2) and (1,5) m = (5 - 2)/(1 - 0) = 3
This implies that eqn (i) can be rewritten as:
y = 3x + b ------------------- eqn (ii)
pickintg the point (0,2) and substituting into eqn (ii)
2 = 3(0) + b
this implies that b = 2
for confirmation with (1,5)
5 = 3(1) + b
b = 5 - 3 = 2
hence m = 3, b = 2
the equation is y = 3x + 2
5 (3m+2p) -4m= 15m +10p -4m
=11m +10p
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13p+11m-3p=10p -11m
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Yes, 5 (3m+2p) -4m is equivalent to the expression 13p+11m-3p as i worked out for you.. Hope this helps you!!! =')
Answer:
1
Step-by-step explanation:
2^−1 + 2^−1
2x2^-1
1
