4x10^-3 is another way to represent 3^-5
C. 64
Rewrite the logarithm:
8=x^.5
Solve by raising both sides of the equation to the power of the inverse (in this case, the inverse of .5, which is 2):
8^2=x^(.5*2)
64=x
Answer:
|x-22| < 2
The < has an underline below it
Let x gallons be the amount of pure antifreeze that should be added to the 30% solution to produce a solution that is 65% antifreeze. Then the total amount of antifreeze solution will be x+3 gallons.
There are 30% of pure antifreeze in 3 gallons of solution, then
3 gallons - 100%,
a gallons - 30%,
where a gallons is the amount of pure antifreeze in given solution.
Mathematically,

Now in new solution there will be x+0.9 gallons of pure antefreeze.
x+3 gallons - 100%,
x+0.9 - 65%
or

Answer: he should add 3 gallons of pure antifreeze.
Given that <span>In a canoe race, team a is traveling 6 miles per hour and is 2 miles ahead of team b.
Team b is also traveling 6 miles per hour. The teams continue
traveling at their current rates for the remainder of the race.
The system of
linear equations that represents this situation is given by
d = 6t + 2
d = 6t
</span>