Answer:
D
Step-by-step explanation:
H+ is the hydrogen ion concentration.
This problem requires the use of solving log equation.
PH of vinegar is 2.9, lets find the number of hydrogen ions in it by using the equation:
![PH=-Log[H^{+}]\\2.9=-Log[H^+]\\-2.9=Log_{10}[H^+]](https://tex.z-dn.net/?f=PH%3D-Log%5BH%5E%7B%2B%7D%5D%5C%5C2.9%3D-Log%5BH%5E%2B%5D%5C%5C-2.9%3DLog_%7B10%7D%5BH%5E%2B%5D)
Note: Log is normally base 10 if not specified
Now, to solve, we use exponential to log conversion formula shown below:

Now lets solve:
![-2.9=Log_{10}[H^+]\\H^+=10^{-2.9}\\H^+=0.001259](https://tex.z-dn.net/?f=-2.9%3DLog_%7B10%7D%5BH%5E%2B%5D%5C%5CH%5E%2B%3D10%5E%7B-2.9%7D%5C%5CH%5E%2B%3D0.001259)
Now, the PH of milk is 6.6, so we follow same procedure and find the number of hydrogen ion in milk. Shown below:
![PH=-Log[H^{+}]\\6.6=-Log[H^+]\\-6.6=Log_{10}[H^+]\\H^+=10^{-6.6}\\H^+=0.0000002512](https://tex.z-dn.net/?f=PH%3D-Log%5BH%5E%7B%2B%7D%5D%5C%5C6.6%3D-Log%5BH%5E%2B%5D%5C%5C-6.6%3DLog_%7B10%7D%5BH%5E%2B%5D%5C%5CH%5E%2B%3D10%5E%7B-6.6%7D%5C%5CH%5E%2B%3D0.0000002512)
So, to find how many times it is greater, we divide first answer we found by the second answer:

That is about 5000 times, answer D is right.
I'm a little confused on the format but if you mean 8^2(2+6)/4 then the answer is 128
8x8 is 64, 64x8 is 512. 512/4 is 128
The distributive property states:
A(b+c)= ab + ac
You would need to find a number that multiplies both 54 and 18.
You could divide both by 2, since they are both even.
54/2= 27 18/2=9
2( 27 + 9x)
Make sure to put the x next to nine.
I hope this helps!
~kaikers
Answer:
Start at 5 and move 8 units to the left
Step-by-step explanation:
5 -8
Start at 5 on the number line
We are subtracting 8
Move 8 units to the left
You will end of at -3