If written as a decimal, 9 x 1/10 would be 9 x 0.1,
6 x 1/100 would be 6 x 0.01, and 4 x 1/1000 would be 4 x 0.001.
37/40
17+8+3+12=40
It doesn't simplify anymore
Answer:
Step-by-step explanation:
I'm not sure if I am too late to answer this but the trick to this is to reflect the function over the line y = x.
Basically, if you have the point (-2, 3)
you turn in into (2, -3) and you'll be good. (switch the two coordinates and take the negative for both.)
Step-by-step explanation:
The volume of the shell is the volume of the outer sphere minus the volume of the inner sphere.
V = 4/3 π (r+h)³ − 4/3 π r³
V = 4/3 π (r³ + 3r²h + 3rh² + h³) − 4/3 π r³
V = 4/3 π r³ + 4π r²h + 4π rh² + 4/3 π h³ − 4/3 π r³
V = 4π r²h + 4π rh² + 4/3 π h³
If h = 0.1 r:
V = 4π r² (0.1 r) + 4π r (0.1 r)² + 4/3 π (0.1 r)³
V = 0.4π r³ + 0.04π r³ + 0.00133π r³
V = 0.44133π r³
Using the approximation:
V = 4π r² h
V = 4π r² (0.1 r)
V = 0.4π r³
The approximation is reasonable if h is small compared to r.