Answer:
6^8.
This evaluates to 1,679,616.
Step-by-step explanation:
(6^4)^2
Using the law of logs (a^b)^c = a^bc:
(6^4)^2 = 6^(4*2)
= 6^8
This evaluates to 1,679,616.
Answer:
x=5.657 y=5.657
Step-by-step explanation:
Both the numerator and the denominator can be easily divided by 9. so you get:
2/10
as you can tell it can still be simplified. both the numerator and denominator can be divided by 2. so your final answer is
1/5
Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.
The answer is for the value of y-coordinate is -5
