<span>A(x) = x 2 - 12x + 36
</span><span>A(x) = (x -6)^2
answer: length of a side of the square = x - 6</span>
I’m really late this time I’m sure you are alr done with your I ready lol
A) What's the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!
By definition we have that the volume of a rectangular prism is given by:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height
We then have to replace the values:
V = (7) * (5.5) * (2.5)
V = 96.25 in ^ 3
Equivalently:
V = 96 1/4 in ^ 3
B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.
No, this fish tank could not hold 100 in³ of water.
This is because the prism volume (part A) is less than 100 in ^ 3.
In other words;
96 1/4 in ^ 3 <100 in ^ 3
For this case, the first thing we should do is use the following equation:
f (x) = 200 (1.03) ^ x
We substitute f (x) = 300:
300 = 200 (1.03) ^ x
We clear the value of x:
log1.03 (300/200) = log1.03 ((1.03) ^ x)
x = log1.03 (300/200)
x = 13.72
Answer:
the population will first reach 300 in about 13.72 years.
