Answer:106.38 feet
Step-by-step explanation:
This can be solved by using pythagoras theorem
c=110 feet
b=28 feet
a=?
a=sqrt(110^2-28^2)
=sqrt(12100-784)
=sqrt(11316)
=106.3766 feet
=106.38
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:
x=1 y= 7
x=2 y= 10
x=3 y= 13
Step-by-step explanation:
y=3x+4
y=3(1)+4
=7
y=3(2)+4
=-10
y=3(3)+4
=13
Bud $100 - $50 Donation = $50
17 Students at a $3 Profit per student gives you $51 covering the cost of the Bus and also covering the $7 cost per student.
