Answer: 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
4x+5y=20 in slop intercept form would be y= (-4/5)x + 4.
Slope intercept form is y=mx+b. So you would first subtract 4x from both sides. This ends up being 5y= -4x +20. Then divide both sides by 5. This gets you y= (-4/5)x +4.
Answer:
Step-by-step explanation:
The nth term for the geometric sequence is given by:
where,
is the first term
r is the common ratio
n is the number of terms.
As per the statement:
For the geometric sequence of 
and r=2
We have to find 
for n = 5;
Substitute the given values we have;
⇒
Therefore, the value of is, 32
A direct variation is a proportional equation. Such as:
For every 3 cookies, linda gets 1 glass of milk. The equation for this is y=3x where y is the glasses and x is the cookies. this is a direct variation. It also has a linear line. Linear means straight. Rate of change and slope are the exact same thing. They are the value of 'm' in y=mx+b
The answer is 23.5 ...probably
