Question 10: 5.723 < 5.724 < 5.725
Question 11: I'm guessing it will be 6, since the other part is cut off
hope this helps
Answer:

Step-by-step explanation:
Given: 
To choose: the correct option
Solution:
Power refers to a number of times, a number is multiplied by itself. Another name for power is exponent.
As per rule of exponents, 
Here,

Therefore,
![(-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }](https://tex.z-dn.net/?f=%28-32%29%5E%7B%28%5Cfrac%7B3%7D%7B5%7D%29%20%7D%3D%5B%28-2%29%5E5%5D%5E%7B%28%5Cfrac%7B3%7D%7B5%7D%29%20%7D%3D%28-2%29%5E%7B5%28%5Cfrac%7B3%7D%7B5%7D%29%20%7D)
Here, 
So,
![(-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }=(-2)^3=-8](https://tex.z-dn.net/?f=%28-32%29%5E%7B%28%5Cfrac%7B3%7D%7B5%7D%29%20%7D%3D%5B%28-2%29%5E5%5D%5E%7B%28%5Cfrac%7B3%7D%7B5%7D%29%20%7D%3D%28-2%29%5E%7B5%28%5Cfrac%7B3%7D%7B5%7D%29%20%7D%3D%28-2%29%5E3%3D-8)
Answer:
Always
Step-by-step explanation: because I did it and got the answer right
In some cases, there are better solutions than factoring. Consider, for example the quadratic equation x^2+x+1, which is much easier to solve using the quadratic formula than by factoring.
Answer:
h = 24 cm
Step-by-step explanation:
volume of water in the cylinder = volume of water in the rectangular base container
But ,
volume of cylinder = 
h
where: is the radius and h is the height.
volume of cuboid = length x width x height
= l x w x h
So that;

h = l x w x h
But, r =
=
= 9 cm, height of cylinder = 28 cm, length = 27 cm, width = 11 cm,
=
.
Thus,
x
x 28 = 27 x 11 x h
x 81 x 28 = 27 x 11 x h
7128 = 297h
h = 
= 24
h = 24 cm
The depth of the water in the container is 24 cm.