(The spaces between tick marks on the number line are not to scale.)
4. [tex]\(\sqrt{150}\)[/tex] corresponds to position [tex]\(\square\)[/tex]
5. [tex]\(\sqrt{\frac{432}{3}}\)[/tex] corresponds to position [tex]\(\square\)[/tex]
6. [tex]\(\frac{19}{2}\)[/tex] corresponds to position [tex]\(\square\)[/tex]
7. 11.25 corresponds to position [tex]\(\square\)[/tex]
--- Note: The instructions "Help me solve this," "View an example," "Get more help," and "Review Progress" have been omitted as they are not part of the actual question.
Sure, let's carefully go through the given numbers and observe where each should be placed on the number line. Here are the numbers and their approximate values:
1. [tex]\(\sqrt{150}\)[/tex]: The value of [tex]\(\sqrt{150}\)[/tex] is approximately 12.247. 2. [tex]\(\sqrt{\frac{432}{3}}\)[/tex]: The value of [tex]\(\sqrt{\frac{432}{3}}\)[/tex] is 12.0. 3. [tex]\(\frac{19}{2}\)[/tex]: The value of [tex]\(\frac{19}{2}\)[/tex] is 9.5. 4. 11.25: This value is explicitly 11.25.
Let's assign each value to the corresponding position on the imaginary number line:
1. [tex]\(\sqrt{150} \approx 12.247\)[/tex] corresponds to a position slightly greater than 12. 2. [tex]\(\sqrt{\frac{432}{3}} = 12.0\)[/tex] corresponds exactly to the position 12. 3. [tex]\(\frac{19}{2} = 9.5\)[/tex] will correspond to the position 9.5. 4. 11.25 corresponds exactly to the position 11.25.
If the number line includes points 9.5, 11.25, 12, and a point slightly above 12, we can map:
4. [tex]\(\sqrt{150}\)[/tex] corresponds to position [tex]\( \text{(a position slightly greater than 12)} \)[/tex] 5. [tex]\(\sqrt{\frac{432}{3}}\)[/tex] corresponds to position [tex]\(12\)[/tex] 26. [tex]\(\frac{19}{2}\)[/tex] corresponds to position [tex]\(9.5\)[/tex] 27. [tex]\(11.25\)[/tex] corresponds to position [tex]\(11.25\)[/tex]
To summarize:
4. [tex]\(\sqrt{150}\)[/tex] corresponds to position [tex]\( \square \)[/tex] 5. [tex]\(\sqrt{\frac{432}{3}}\)[/tex] corresponds to position [tex]\(12\)[/tex] 26. [tex]\(\frac{19}{2}\)[/tex] corresponds to position [tex]\(9.5\)[/tex] 27. [tex]\(11.25\)[/tex] corresponds to position [tex]\(11.25\)[/tex]
In the absence of a specific letter-number mapping provided in your query, the actual letter assignment could vary, but it's clear based on the provided values and their positions on a number line.
