Answer:
y=6
Step-by-step explanation:
You always want to do X first but here you just see the number under y and you can just see 6 is across im not good at explaining but im sure its 6
The height of the container that will be able to minimize the cost will be 3.08cm.
<h3>How to calculate the height?</h3>
The volume of the box will be:
= (3x)(4x)h
= 12x²h
From the information given, we are told that the container must contain 48in³. Therefore,
48 = 12x²h
h = 4/x²
The function cost will be:
= 3.50(2)(12x²) + 4.40(14x)h
= 84x² + 61.6x(4/x²)
= 84x² + 246.4/x
We'll use the first derivative. This will be:
dC/dx = 168x - 246.4/x²
x = 1.14.
Therefore, the height will be:
h = 4/x² = 4/1.14² = 3.08cm
In conclusion, the height is 3.08cm.
Learn more about height on:
brainly.com/question/1557718
In the triangle sum theorem, the corollary is that the triangle <span>can include only one 90 degree angle or one obtuse angle.</span>
Answer:
0.3 galloons of water.
Step-by-step explanation:
We know that 1/5 galloons of water fills 2/3 of the bin.
So, we can write the following fraction:

We want to find how many galloons will fill the entire bin or 1 whole bin. So, we can write the following proportion:

To find our answer, we need to solve for x.
So, let's cross-multiply. This yields:

Multiply both sides by 3:

The left side simplifies. Multiply on the right:

Now, multiply both sides by 1/2:

Simplify the left. Multiply on the right:

So, 3/10 of 0.3 of a gallon of water will fill the entire bin.
And we're done!