Answer: see photo
Step-by-step explanation:
Answer:
The inequality for each quantity described is given as follows;
0 ≤ A + B + C + D + E ≤ 50
Step-by-step explanation:
The given information are;
The number of players each team can have = between 3 and 5
The maximum number of points a player can score in each round of the game = 10 points
The number of players in Elena's team = Elena + 4 = 5 players
The total number of points Elena's team earns at the end of the round is given as follows;
0 ≤ A + B + C + D + E ≤ 5 × 10
Where the variables A, B, C, D, and E are the points each of Elena and are makes such that the minimum points is 0 + 0 + 0 + 0 + 0 = 0 and the maximum point is 10 + 10 + 10 + 10 + 10 = 5 × 10 = 50, which gives;
0 ≤ A + B + C + D + E ≤ 50.
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:
3/25 remaining cupcakes
Step-by-step explanation: