Answer:
The slope is 1
Step-by-step explanation:
y2 -y1 /x2 -x1
10-4/ 3- (-3)
6/6
which reduces to 1
The distributive property
Answer:
Time,t that it will elapse before the concerntration of the dye in the tank reaches1% of its original value is 460.52 seconds
Step-by-step explanation:
Let Q(t) = amount of dye for all time,t.
Let Q'= rate in - rate out.
But Q/200 = concerntration of dye
Therefore rate out= Q/200 ×2.
Q'/Q = - 1/100
Dividing by Q gives
Ln/Q/ + c = -1/100t + c1
Integrating both sides with respect to t
Ln/Q/ = -1/100t + c2.
c1 and c1 are just another constants
Q= c3e^-t/100
Exponentiating both sides will cause the absolute values to get absorbed into the constants giving rise to a new constant c3
200= c3-0/100
c3= 200
2= 200e^-t/100
Ln1/100= - t/100
Ln0.01 = - t/ 100
Cross multiply
t= Ln0.01 × 100
t = 4.6052 ×100
t = 460.52seconds
They are actually the same.....Hope this helped you!!
Answer:
15 cm
Step-by-step explanation:
Perimeter is 2x+2y,
2x+2y=80
x+y=40
so since one side is 25 cm long
that means the other side is 40-25=15 cm
