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.
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The complete question is
"On a piece of paper, graph f(x) = 4. (0.5)^x Then determine which answer choice matches the graph you drew."
The given function is an exponential function. The graph of option C is the correct answer.
<h3>What are exponential functions?</h3>
When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
There usual form is specified below. They are written in several such equivalent forms.
For example, 
, where a is a constant is an exponential function.
The function is given as
f(x) = 4. (0.5)^x
AS we can see that the given function is an exponential function.
Thus, the graph of option C is the correct answer.
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Answer:
-2x
Step-by-step explanation:
4x-6x=-2x. You need to combine like terms or subtract 6 from 4 which is -2 the you add then put the x back in
9 pairs.
If 4 pairs of socks cost $10.00 and you have $22.50 to spend then you can buy 9 pairs of socks leaving you with $0.00 left over.
Each pair of socks cost $2.50.
Answer:

Step-by-step explanation:
We want to express 3⅓ as a percentage.
Let us first of all rewrite 3⅓ as decimals to obtain:

To express this as a percentage, we multiply by 100%

This multiplies to give us:
