Log base 4 of 32 is equal to 5/2.
What a log is looking for is what number do we have to raise 4 to in order to get 32. Since it is not an exact multiply of 4, we have to look for fractions. Since we know that 2 can multiply directly to 32, we would simply take the square root of 4. This can be done by raising 4 to the 1/2.
Now that we have 2, we know that raising that to the 5th power would give us 32. So we'll take that answer and the 1/2 from before and multiply them together to get the final answer.
5*1/2 = 5/2.
The total expenses would be $375 total for 12 days.
Answer:
21 liters of the 12% solution and 4 liters of the 37% solution
Step-by-step explanation:
Represent the number of liters of the first solution as x and the second as y. Now, the total liters of iodine is going to be 16% of 25 = 4 liters of iodine, and the total liters of each solution is going to be 25. Now, we can setup two equations:
0.12x+0.37y = 4
x + y = 25
Multiplying the bottom equation by 0.12, we have
0.12x + 0.12y = 3
Subtracting, we have
0.12x+0.37y=4
-
0.12x + 0.12y = 3
= 0.25y = 1
= y = 4
= x = 25 - 4 = 21
In the table states the frequency of the marbles. It says in the 40 tries she had a frequency of 24 marbles that are yellow and for green it states the frequency is 16 marbles for green.
