1.
Use this rule: √ab = √a√b
√12√x^2
Simplify √12 to 2√3
2√3√x^2
Simplify √x^2 to x
2√3x^2
3.
Multiply the numerator and denominator by the conjugate.
2√x/x
Answer:
She will have to mow 7 lawns
Step-by-step explanation:
You do 425 -625 too see how much more money she needs
you get 175 . then each lawn is 25 so 175 divided by 25 is 7 . so she has mow 7 lawns
Answer:

Step-by-step explanation:
The given functions are
and
.
We now composed the two functions to find:




This function is defined if the denominator is not zero.


We write this in interval notation as:

We need to be cautious here as x=0 is not in the domain of g(x).
Therefore the domain of
is

Answer:
Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder
Step-by-step explanation:
Here we have the volume of a cylinder given by
Volume of a cylinder = πr²h
Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have
Height of bottom of is then
Height = h - b
Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)
Volume of bottom of cylinder = π·r²·h - π·r²b
Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.
If the letters are considered distinct, then the number of permutations is

.
If we count either C as the same character, then we would be double-counting - to correct this, we would simply divided by the number of ways we can choose C from the available characters, or

.