Answer:
a. True.
Step-by-step explanation:
32k + 24 = 8(4k + 3)
32k + 24 = 32k + 24
32k - 32k = 24 - 24
0 = 0
Since 0 does equal 0, the statement is a. True.
Hope this helps!
Answer:
Step-by-step explanation:
Solve the following expression:
-Calculate 
to the power of 
:
-Calculate 
to the power of 
:
-Multiply both 
and 
:
-Calculate 
to the power of 
:
-Multiply both 
and 
:
-Calculate 
to the power of 
:
-Multiply both the 
and 
:
Therefore, the final answer is 
.
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).
The median is 470 I found it on a online median calculator
