Answer:
The answer is C
Step-by-step explanation:
Throwing a dice is an example of probability because a dice has 6 different sides.
Remember some simle log rules
loga+logb=log(ab)
xloga=loga^x

means

also, if no base is stated, assume base 10
so
log(2x)=-1 is base 10 and translates to
10^-1=2x
1/10=2x
divide both sides by 2 aka times 1/2
1/20=x
3log(2)+log(x)=3
log(2^3)+log(x)=3
log(8)+log(x)=3
log(8x)=3
base 10
10^3=8x
1000=8x
divide both sides by 8
x=125
Answer: Choice C) 36:25
To get this answer, we simply square each piece of the original ratio 6:5
6^2 = 36
5^2 = 25
Think of two squares where one has a side length of 6 and the other of 5. The ratio of the sides is 6:5. The areas of the two squares are 36 and 25 as mentioned above. So the ratio is 36:25. This idea can be applied to any surface area or area in general. It doesn't have to be two squares. The reason why we can apply this to any general shape is because we can break up the shape into small squares to get a rough approximation. The more squares we use, the better the approximation.
Answer:
9(c^7)
Step-by-step explanation:

c^-4 is equal to 1/(c^4), so 1/(c^(-4)) is c^4.
Use the pythagorean theorem:
EF² +DF²=DE²
EF²=18²-12²=180
EF=√180
E is the answer.