The carrot cakes are the fraction of the cake given by 
multiplied by 
- The fraction of the cakes that are carrot cakes is
<h3>How are the cakes evaluated as fractions?</h3>
The fraction of the cake that are chocolate cake = 
The fraction of the remaining cake that cheesecakes = 
The rest of the cakes = carrot cakes
Required:
The fraction of the cake that are carrot cakes
Solution:
The fraction of the cakes that are not chocolate cake = 
The fraction of the remaining cakes that are cheesecake = 
The fraction of the cake that are carrot cake = 
- The fraction of the cakes that are carrot cake is
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Answer:
4
Step-by-step explanation:
The period is the length of one cycle.
By cycle, I mean the smallest piece that can be traced and copied over and over to form the whole graph. If you notice the graph starts at x=0 and the curve makes a complete cycle by x=4. The cycle starts over again at x=4 and ends at x=8. I hope you are seeing the graph looks exactly the same from x=0 to x=4 as x=4 to x=8.
The length of one cycle of this graph is 4.
Please let me know if you have further questions about this question.
Thank you.
1.
(100 + d^2)(d + 10)(d - 10)
Use the rule of splitting perfect squares to get the factors.
2.
x^4y^8z^2(x^2z^6 - y)
The first term is the greatest common factor.
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:
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