Get detailed and reliable answers to your questions with IDNLearn.com. Our platform is designed to provide reliable and thorough answers to all your questions, no matter the topic.
Sagot :
To solve this problem, we need to evaluate the elevation [tex]\(e\)[/tex] using the given equation [tex]\(e = 300 - 10t\)[/tex] for the specified time points [tex]\(t = -2\)[/tex], [tex]\(t = 3.5\)[/tex], and [tex]\(t = 30\)[/tex].
1. Calculate [tex]\( e \)[/tex] when [tex]\( t = -2 \)[/tex]:
- Substitute [tex]\( t = -2 \)[/tex] into the equation [tex]\(e = 300 - 10t\)[/tex]:
[tex]\[ e = 300 - 10(-2) \][/tex]
- Simplify the expression:
[tex]\[ e = 300 + 20 \][/tex]
- Thus, the elevation [tex]\(e\)[/tex] when [tex]\( t = -2 \)[/tex] is:
[tex]\[ e = 320 \][/tex]
2. Calculate [tex]\( e \)[/tex] when [tex]\( t = 3.5 \)[/tex]:
- Substitute [tex]\( t = 3.5 \)[/tex] into the equation [tex]\(e = 300 - 10t\)[/tex]:
[tex]\[ e = 300 - 10(3.5) \][/tex]
- Simplify the expression:
[tex]\[ e = 300 - 35 \][/tex]
- Thus, the elevation [tex]\(e\)[/tex] when [tex]\( t = 3.5 \)[/tex] is:
[tex]\[ e = 265.0 \][/tex]
3. Calculate [tex]\( e \)[/tex] when [tex]\( t = 30 \)[/tex]:
- Substitute [tex]\( t = 30 \)[/tex] into the equation [tex]\(e = 300 - 10t\)[/tex]:
[tex]\[ e = 300 - 10(30) \][/tex]
- Simplify the expression:
[tex]\[ e = 300 - 300 \][/tex]
- Thus, the elevation [tex]\(e\)[/tex] when [tex]\( t = 30 \)[/tex] is:
[tex]\[ e = 0 \][/tex]
Now, we populate the table with the calculated values:
[tex]\[ \begin{array}{|c|c|} \hline \text{Time } (t) & \text{Elevation } (e) \\ \hline -2 & 320 \\ \hline 3.5 & 265.0 \\ \hline 30 & 0 \\ \hline \end{array} \][/tex]
Thus, the values in the table are:
[tex]\[ a = 320 \checkmark \\ b = 265.0 \checkmark \\ c = 0 \][/tex]
1. Calculate [tex]\( e \)[/tex] when [tex]\( t = -2 \)[/tex]:
- Substitute [tex]\( t = -2 \)[/tex] into the equation [tex]\(e = 300 - 10t\)[/tex]:
[tex]\[ e = 300 - 10(-2) \][/tex]
- Simplify the expression:
[tex]\[ e = 300 + 20 \][/tex]
- Thus, the elevation [tex]\(e\)[/tex] when [tex]\( t = -2 \)[/tex] is:
[tex]\[ e = 320 \][/tex]
2. Calculate [tex]\( e \)[/tex] when [tex]\( t = 3.5 \)[/tex]:
- Substitute [tex]\( t = 3.5 \)[/tex] into the equation [tex]\(e = 300 - 10t\)[/tex]:
[tex]\[ e = 300 - 10(3.5) \][/tex]
- Simplify the expression:
[tex]\[ e = 300 - 35 \][/tex]
- Thus, the elevation [tex]\(e\)[/tex] when [tex]\( t = 3.5 \)[/tex] is:
[tex]\[ e = 265.0 \][/tex]
3. Calculate [tex]\( e \)[/tex] when [tex]\( t = 30 \)[/tex]:
- Substitute [tex]\( t = 30 \)[/tex] into the equation [tex]\(e = 300 - 10t\)[/tex]:
[tex]\[ e = 300 - 10(30) \][/tex]
- Simplify the expression:
[tex]\[ e = 300 - 300 \][/tex]
- Thus, the elevation [tex]\(e\)[/tex] when [tex]\( t = 30 \)[/tex] is:
[tex]\[ e = 0 \][/tex]
Now, we populate the table with the calculated values:
[tex]\[ \begin{array}{|c|c|} \hline \text{Time } (t) & \text{Elevation } (e) \\ \hline -2 & 320 \\ \hline 3.5 & 265.0 \\ \hline 30 & 0 \\ \hline \end{array} \][/tex]
Thus, the values in the table are:
[tex]\[ a = 320 \checkmark \\ b = 265.0 \checkmark \\ c = 0 \][/tex]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.