Which Is A Correct Statement About The Description two Less Than The Quotient Of A Number Cubed And Sixteen, Increased By Eight When N = 4 N = 4 N = 4 ?1. The Correct Expression Is N 3 16 − 2 + 8 \frac{n^3}{16} - 2 + 8 16 N 3 ​ − 2 + 8 .2. The Correct Expression Is $2 -

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Introduction

In mathematics, expressions and equations are used to describe various mathematical relationships and operations. When dealing with expressions, it's essential to understand the correct interpretation of the given description. In this article, we will analyze the statement "two less than the quotient of a number cubed and sixteen, increased by eight" and determine the correct expression when n=4n = 4.

Breaking Down the Description

The given description can be broken down into several parts:

  • "two less than the quotient of a number cubed and sixteen"
  • "increased by eight"

Let's analyze each part separately:

Quotient of a Number Cubed and Sixteen

The quotient of a number cubed and sixteen can be represented as n316\frac{n^3}{16}, where nn is the number.

Two Less Than the Quotient

Two less than the quotient can be represented as n316−2\frac{n^3}{16} - 2.

Increased by Eight

Increased by eight can be represented as n316−2+8\frac{n^3}{16} - 2 + 8.

Combining the Parts

Now, let's combine the parts to get the final expression:

n316−2+8\frac{n^3}{16} - 2 + 8

Evaluating the Expression for n=4n = 4

To evaluate the expression for n=4n = 4, we substitute n=4n = 4 into the expression:

4316−2+8\frac{4^3}{16} - 2 + 8

Simplifying the Expression

Simplifying the expression, we get:

6416−2+8\frac{64}{16} - 2 + 8

Final Evaluation

Evaluating the expression further, we get:

4−2+84 - 2 + 8

Final Answer

The final answer is:

1010

Conclusion

In conclusion, the correct expression for the given description when n=4n = 4 is n316−2+8\frac{n^3}{16} - 2 + 8. This expression represents "two less than the quotient of a number cubed and sixteen, increased by eight" when n=4n = 4.

Comparison with the Given Options

Now, let's compare the correct expression with the given options:

  1. The correct expression is n316−2+8\frac{n^3}{16} - 2 + 8.
  2. The correct expression is 2−n316+82 - \frac{n^3}{16} + 8.

The correct expression is option 1, which is n316−2+8\frac{n^3}{16} - 2 + 8.

Final Thoughts

In this article, we analyzed the statement "two less than the quotient of a number cubed and sixteen, increased by eight" and determined the correct expression when n=4n = 4. We also compared the correct expression with the given options and found that option 1 is the correct expression.

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Introduction

In the previous article, we analyzed the statement "two less than the quotient of a number cubed and sixteen, increased by eight" and determined the correct expression when n=4n = 4. In this article, we will answer some frequently asked questions about the description.

Q&A

Q: What is the correct expression for the given description when n=4n = 4?

A: The correct expression is n316−2+8\frac{n^3}{16} - 2 + 8.

Q: How do I evaluate the expression for n=4n = 4?

A: To evaluate the expression for n=4n = 4, substitute n=4n = 4 into the expression and simplify.

Q: What is the quotient of a number cubed and sixteen?

A: The quotient of a number cubed and sixteen can be represented as n316\frac{n^3}{16}, where nn is the number.

Q: What does "two less than the quotient" mean?

A: "Two less than the quotient" means subtracting 2 from the quotient.

Q: What does "increased by eight" mean?

A: "Increased by eight" means adding 8 to the result.

Q: How do I simplify the expression n316−2+8\frac{n^3}{16} - 2 + 8?

A: To simplify the expression, first, evaluate the quotient n316\frac{n^3}{16}, then subtract 2, and finally add 8.

Q: What is the final answer when n=4n = 4?

A: The final answer is 10.

Q: Which option is the correct expression?

A: Option 1 is the correct expression, which is n316−2+8\frac{n^3}{16} - 2 + 8.

Conclusion

In this article, we answered some frequently asked questions about the description "two less than the quotient of a number cubed and sixteen, increased by eight". We hope that this article has provided you with a better understanding of the correct expression and how to evaluate it.

Additional Resources

If you have any further questions or need additional help, please refer to the following resources:

Final Thoughts

In conclusion, understanding the correct expression for the given description is crucial in mathematics. We hope that this article has provided you with a better understanding of the correct expression and how to evaluate it. If you have any further questions or need additional help, please don't hesitate to ask.