Answer:
0.
Step-by-step explanation:
Using the laws of logarithms:
log81/8 + 2log2/3 - 3log 3/2 + log 3/4
= log 81/8 + log (2/3)^2 - log (3/2)^3 + log 3/4
= log 81/8 + log 4/9 - log 27/8 + log 3/4
= log 81/8 + log 4/9 - (log 27/8 - log 3/4)
= log (81/8 * 4/9) - log (27/8 * 4/3)
= log 9/2 - log 9/2
= 0.
Answer:
160
Step-by-step explanation:
If there were only 2 options, all the people who didn't pick one chose the other one.
So if 25% of the people voted for the aquarium the remaing 75% voted for the zoo.
Since three times as many people voted for the zoo, we can see that 120/3=40, so 40 people chose the aquarium.
To find the total number of students, we add 120 and 40 to get <u>160</u>
Answer:
-xy^6 +2y -6
Step-by-step explanation:
(-6x^2 y^8+12xy^3-36xy^2)
-------------------------------------------
6xy^2
Divide each term by 6 in the numerator and denominator
(-6/6x^2 y^8+12/6xy^3-36/6xy^2)
-------------------------------------------
6/6xy^2
-x^2y^8 +2xy^3 -6xy^2
---------------------------------
xy^2
Divide each term by x in the numerator and denominator
-x^2/xy^8 +2x/xy^3 -6x/xy^2
---------------------------------
x/xy^2
-xy^8 +2y^3 -6y^2
---------------------------------
y^2
Divide each term by y^2 in the numerator and denominator
Remember when dividing, we subtract the exponents
-xy^8/y^2 +2y^3/y^2 -6y^2/y^2
---------------------------------
y^2 /y^2
-xy^6 +2y^1 -6
---------------------------------
1
-xy^6 +2y -6
Answer:
If it is not raining, then I do not need my rain boots.
Step-by-step explanation:
idk the question is written a bit wrong, I don't know if I was able to switch the first statement. Sorry if I'm wrong!