Step-by-step answer:
Let's attack the left side:
log_8 12 = log (base 8) 12 = log(12)/log(8) = 1.1949875 (approx.)
Next solve
log_8 12 = x-2
log(12)/log(8) = x-2
x = 2 + log(12)/log(8)
= 3.195 (to one thousandth)
which expression is equivalent to 3 x - 3y
3 x - 3y
factor out the 3
3(x-y)
Answer:
(a) V(0) = 50 gal, V(20) = 0 gal
(b)At t= 0 the tank is full.
At t=0 the tank is empty
(c)
Time volume
0 50 gal
5 37.5 gal
10 25 gal
15 12.5 gal
20 0 gal
(d)
Net change of volume = 50 gal
Step-by-step explanation:
Given that the capacity of the tank is 50 gal.
Torricelli's Law gives the volume of water remaining in the tank after t minutes as

(a)
To find V(0), we put t = 0 in the above equation


= 50 gal
To find V(20), we put t =2 0 in the above equation


= 0 gal
(b)
At t= 0 the tank is full.
At t=0 the tank is empty.
(c)
Time V(t)
0 
5 
10 
15 
20 
(d)
Net change of volume = V(0) -V(20)
=(50-0) gal
= 50 gal
49c^2 - 25d^6
(7c)^2 - (5d^3)^2
(7c + 5d^3)(7c - 5d^3)
The answer is: (7c + 5d^3)(7c - 5d^3).