el volumen de un cubo es de 125 cm3 ¿ cuantas veses aumentara el volumen de ese cubo si se duplica la medida de su arista

8 times.

Step-by-step explanation:

I will answer in English:

This says:

The volume of a cube is 125cm^3

How many times the volume will increase if we duplicate the lenght of the side?

If L is the lenght of the side, we have that the volume of the cube is:

V = L^3

If we duplicate the lenght of the side, the new volume is:

V = (2*L)^3 = 8*L^3

So we can see that the volume of the new cube is 8 times the volume of the previous cube.

Now,  we can do the math, for our original cube we have:

L^3 = 125cm^3

L = 5cm

the new cube has L' = 2*L = 10cm

The volume of this cube is:

V' = L'^3 = 10cm^3 = 1000cm^3

the ratio V'/V is:

1000cm^3/125cm^3 = 8

the answer will be the last one

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752