Answer:
Step-by-step explanation:
<u>Equation Solving</u>
We are given the equation:
![\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3y%2B16%7D%7B2y%2B9%7D%7D)
i)
To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.
We have to make it in steps like follows.
Cube both sides:
![\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E3%3D%5Cleft%28%5Csqrt%5B3%5D%7B%5Cfrac%7B3y%2B16%7D%7B2y%2B9%7D%7D%5Cright%29%5E3)
Simplify the radical with the cube:
Multiply by 2y+9
Simplify:
Operate the parentheses:
Subtract 3y and 
:
Factor y out of the left side:
Divide by 
:
ii) To find y when x=2, substitute:
Answer:
551.7
Step-by-step explanation:
it is the square + the circle
15*25+πr²
375+π(15/2)²
375+π225/4
375+176.625=551.625
The way to determine bacteriostatic or bacterial is by using a micorscope
Four terms are used when grouping to factor.
Answer:
1,58,18,400
Step-by-step explanation:
1st digit can have the values 1-9 (9 distinct values)
2nd digit can have the values 0-9 (10 distinct values)
3rd digit can have the values 0-9 (10 distinct values)
1st letter can have the value A-Z (26 distinct values)
2nd letter can have the value A-Z (26 distinct values)
3rd letter can have the value A-Z (26 distinct values)
Total number of different plates possible = 9*10*10*26*26*26
=1,58,18,400
