Answer:

or 
Step-by-step explanation:
Let:

Given


Solving (a): The polynomial for the volume in terms of height
Volume (V) is calculated using:


Expand

Open brackets


Rewrite as:

Solving (b): The dimensions when Volume = 180
Substitute 180 for V in: 

Rewrite as:

Factorize:


Express
as difference of two squares

This gives:



Since the height can not be negative, then H = 5 or H = 6
Recall that:


When H = 5


When H = 6


Hence, the dimensions of the box are:

or

Answer:
u=1
Step-by-step explanation:
6x2u+12+7u+3=6u+30-2u=19u+15=4u+30=19u=4u+15
A biased example: Asking students who are in line to buy lunch
An unbiased example: Asking students who are leaving/going to lunch(<em>NOT buying </em><em>lunch</em><em />).
But in this case, the answer choices can be... confusing.
Don't panic! You're given numbers and, of course, your use of logic.
Answer choice A: 100 students grades 6-8
Answer choice B: 20-30 students any <em>one</em> grade<em></em><em>
</em>Answer choice C: 5 students
<em></em>Answer choice D: 50 students grade 8
An unbiased example would be to choose students from <em>any grade.</em> So we can eliminate choices B and D.
Now, the question wants to <em>estimate how many people at your middle school buy lunch.</em> This includes the whole entire school, and if you are going to be asking people, you aren't just going to assume that if 5 people out of 5 people you asked bought lunch, the whole school buys lunch.
So, to eliminate all bias and/or error by prediction, answer choice A, the most number of students, is your answer.
C is the answer to you question
Answer:
total is (12-4=5(^19 <6>) THIS IS MY ANWER