F(x)=(2/3)x^1.5
The centroid position along the x-axis can be obtained by
integrating the function * x to get the moment about the y-axis,
then divide by the area of the graph,
all between x=0 to x=3.5m.
Expressed mathematically,
x_bar=(∫f(x)*x dx )/(∫ f(x) dx limits are between x=0 and x=3.5m
=15.278 m^3 / 6.1113 m^2
=2.500 m
Yes the quotient of 9 is rational
Answer:
1.15p + 285 = 5.84
Step-by-step explanation:
This problem has two equations. Total cost and Total pounds. The cost and the pounds
p = apple pounds
b = banana pounds
<u>Cost</u>
1.90p + .75b = 5.84
<u>Pounds</u>
p + b = 3.8
<u>Now we use the substitute method for system of equations to solve</u>
p + b = 3.8
b = -p + 3.8
<u>Now that we know what b equals, substitute is for b in the cost equation.</u>
1.90p + .75b = 5.84
1.90p + .75(-p+3.8) = 5.84
<u>distribute / multiply .75 by (-p+3.8)</u>
1.90p + -.75p + 2.85 = 5.84
<u>Combine the p values</u>
1.15p + 285 = 5.84
Answer:
0.1515151515151515
Step-by-step explanation: