Answer:
Let's solve for f.
4
r
+
8
f
=
5
g
Step 1: Multiply both sides by fr.
4f+8r=
5fr
g
Step 2: Multiply both sides by g.
4fg+8gr=5fr
Step 3: Add -5fr to both sides.
4fg+8gr+−5fr=5fr+−5fr
4fg−5fr+8gr=0
Step 4: Add -8gr to both sides.
4fg−5fr+8gr+−8gr=0+−8gr
4fg−5fr=−8gr
Step 5: Factor out variable f.
f(4g−5r)=−8gr
Step 6: Divide both sides by 4g-5r.
f(4g−5r)
4g−5r
=
−8gr
4g−5r
f=
−8gr
4g−5r
Answer:
f=−8gr4g−5r
Total pressure is constant and PT = P = 1/2*ρ*v^2
So p1 + 1/2*ρ*v1^2 = p2 + 1/2*ρ*v2^2 and from continuity we have ρ*A1*v1 = ρ*A2*v2
So v2 = v1*A1/A2 since r2 = 2r1 then A2 = 4A1
so v2 = v1/4
Now from above p2 = p1 + 1/2*ρ*v1^2 - 1/2*ρ*v2^2 = p1 + 1/2*ρ*v1^2 - 1/2*ρ*v1^2/4^2
So p2 = 3.0x10^4Pa + 1/2*1000kg/m^3*(12m/s)^2 - 1/2*1000kg/m^3*12^2/16
= 9.75x10^4Pa = 9.8x10^4Pa
-11111111122647373738374848384747374747477347474
There are 100 pennies in a dollar. We can divide 12000 pennies by 100 to find out how much they are worth in dollars.
12000/100 = $120
