Answer:
B
Step-by-step explanation:
Ok this one is a little bit more tricky since there are more possible answers. But we can do it! So look at the y-intercept. It lands on 25. Now we do "Rise over Run". So we go up 4 and left 1. Since the line is going left, the slope is a negative. And the line is solid instead of dotted so it is , ≤. Your answer would be the first option. I hope this helps love! :)
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
Ok so say you have I don't 266÷12 so you would round 266 to 700 hundred and 12 to ten and you would divided 700 by 12
Hope this helped :-)
Answer:
Step-by-step explanation:
area of triangular face = ½·3·4 = 6 cm²
area of 3 by 7 face = 3×7 = 21 cm²
area of 5 by 7 face = 5×7 = 35 cm²
area of 4 by 7 face = 4×7 = 28 cm²
total surface area = 2×6 + 21 + 35 + 28 = 96 cm²
