Answer:
n=1
Step-by-step explanation:
-2(6 - 3n) + 27n = -3(n - 8)
-12+6n+27n=-3n+24
-12+33n=-3n+24
----------------------------
33n=-3n+36
+3 +3
-------------
36n=36
---- ----
n=1
Ya, calculus and related rates, such fun!
everything is changing with respect to t
altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min
area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min
base=db/dt
alright
area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt
ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b
so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min
therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt
the base is decreasing at 1.6cm/min
Answer:
Men: 18%
Women: 42%
Boys: 18%
Girls: 22%
Children: 40%
Step-by-step explanation:
Answer:
x>−72 or x<−132
Step-by-step explanation:
I believe that is the answer
Answer:
$4,750
Step-by-step explanation:
All we need to do is multiply both values.
38 * 125 = $4,750
Best of Luck!
