To determine the centroid, we use the equations:
x⁻ =
1/A (∫ (x dA))
y⁻ = 1/A (∫ (y dA))
First, we evaluate the value of A and dA as follows:
A = ∫dA
A = ∫ydx
A = ∫3x^2 dx
A = 3x^3 / 3 from 0 to 4
A = x^3 from 0 to 4
A = 64
We use the equations for the centroid,
x⁻ = 1/A (∫ (x dA))
x⁻ = 1/64 (∫ (x (3x^2 dx)))
x⁻ = 1/64 (∫ (3x^3 dx)
x⁻ = 1/64 (3 x^4 / 4) from 0 to 4
x⁻ = 1/64 (192) = 3
y⁻ = 1/A (∫ (y dA))
y⁻ = 1/64 (∫ (3x^2 (3x^2 dx)))
y⁻ = 1/64 (∫ (9x^4 dx)
y⁻ = 1/64 (9x^5 / 5) from 0 to 4
y⁻ = 1/64 (9216/5) = 144/5
The centroid of the curve is found at (3, 144/5).
They are either in the tenths place, the hundredths place, or the thousandths place. Multiplying 0.5 by 0.1 will get you 0.05, and multiplying 0.05 by 0.1 will get you 0.005.
Answer:
City 1 and City 2
Step-by-step explanation:
The water is moving down stream, moving from City 1-2-3-4 in that order.
if water was taken a the X mark, the pollutants would have to have come from the cities above where the sample was taken.
Hope this helps!
Answer:
$532
Step-by-step explanation:
Hey There!
So to solve this problem the first thing that we want to do is find the cost of 1 ball
To do so we divide the total cost of 10 balls by 10
280/10=28 so each ball cost 28
now to find the cost of 19 balls we multiply the cost of 1 ball by 19
18x28=532
thus meaning 19 balls cost $532
