Answer:
p = 2, q = 3.
Step-by-step explanation:
A perfect cube is in the form 
.
To make this fraction a perfect cube, we need to increase the exponent of 2 to 3 and decrease the exponent of 3 to 3.
Conclusion: 
.
Since these are box plots, they're based on a lot of data, and we cannot say for certain whether something will be true, but it can give us a good idea. So this means that options A & B are out, since they say 'will always', but we can never say for sure with box plots.
The boxes of the box plot represent basically the average of the data. The beginning of the box is the first quartile, the end of the box is the third quartile, and the line in the middle is the median, which is the middle of the data. Since the box in the box plot of Design A is greater than the box in the box plot of Design B, we can say it's likely that candle Design A will last longer than candle Design B, or option C.
6 x 5 = 30
4 x 4 = 16
30 + 16 = 46
There are 46 DVDs in total.
Sum of internal angles of any triangle = 180∘
∴x + 2x + 3x = 180∘
∴6x = 180∘
∴ x = 30∘
So the angles are: 30∘, 60∘ and 90∘
Answer:
Factoring the expression 
completely we get 
Step-by-step explanation:
We need to factor the expression completely
We need to find common terms in the expression.
Looking at the expression, we get 
is common in both terms, so we can write:
So, taking out the common expression we get: 
Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:
So, we get:
Therefor factoring the expression completely we get
