Answer:
*assuming you know the concept of proportionality*
since L is directly proportional to T, an increase in L will result in an increase in T
so the solution of the first part is increases
in part 2, y is inversely proportional to x
which means that an increase in y will result in a decrease in x and vice-versa
So the answer of the second part is decreases
in part 3, since x is directly proportional to y, an increase in x will result in an increase in y
Answer:
![\frac{\sqrt[4]{3x^2} }{2y}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B3x%5E2%7D%20%7D%7B2y%7D)
Step-by-step explanation:
We can simplify the expression under the root first.
Remember to use 
Thus, we have:
![\sqrt[4]{\frac{24x^{6}y}{128x^{4}y^{5}}} \\=\sqrt[4]{\frac{3x^{2}}{16y^{4}}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B24x%5E%7B6%7Dy%7D%7B128x%5E%7B4%7Dy%5E%7B5%7D%7D%7D%20%5C%5C%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B3x%5E%7B2%7D%7D%7B16y%5E%7B4%7D%7D%7D)
We know 4th root can be written as "to the power 1/4th". Then we can use the property 
<em>So we have:</em>
<em>
</em>
<em />
<em>Option D is right.</em>
Answer:
1) A
2) A
3) C
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given
Represent the volume of the cylinder with V1 and the volume of the sphere with V2
So, from the first statement: we have:

and

To solve for
, we simply substitute
for
in 




Hence, the volume of the sphere is 
Answer:
7.33 mps
Step-by-step explanation:
1'st step: divide 132m divided by 18s= 7.33 mps