About 29 percent. you would do 10*100/35=28.87 you would round up to 29 percent
8/7 is the reciprocal. just flip the fraction
Answer:
x(15) = 21 lb
Step-by-step explanation:
Rate of change in volume of salt water solution = rate of volume incoming - rate of volume outgoing
dV/dt = 4 - 2 =2gal/min
So, the equation for volume at cetain time t at given conditions and values becomes,
V(t) = 2t + V
V(t) = 2t + 20 gal-------------------euqation (1)
Rate of change in amount of salt = rate of salt in - rate of salt out
dx/dt = {0.5*4} - {[x(t)/V(t)]*2}
dx/dt = 2-2[(x(t))/(2t+20)]
dx/dt = 2-[(x(t))/(v(t))] lb/min
Now, with integrating factor, we get
exp[∫(1/(1+10))dt)] = t+10
the equation becomes
(t + 10)*x' + x = 2*(t+10)
((t+10)*x') = 2*(t+10)
(t+10)*x = t² + 20t + C
As x(0) = 0,
x(t) = (t²+20t)/(t+10)
x(15) = (15²+20*15)/(15+10)
x(15) = 21 lb
Answer:
Step-by-step explanation:
(3x-2)(22-2x+1)
simplify (22-2x+1)
(3x-2)(23-2x)
distribute
69x - 6x^2 - 46 + 4x
simplify
Step-by-step explanation:
Graph the following line
Y=4/3x - 5 nankzuhbwbnsnkzkjsjsndnhxhxhhxjdksiahhavbwnwjejejjsj