Question
Evacise \( t \) a. \( 4 \cdot 9 e^{2}-7-120 t^{2} \)
Ask by Newton Erickson. in South Africa
Jan 30,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplified expression is \(36e^{2} - 7 - 120t^{2}\).
Solution
Calculate or simplify the expression \( 4*9*e^(2)-7-120*t^2 \).
Simplify the expression by following steps:
- step0: Solution:
\(4\times 9e^{2}-7-120t^{2}\)
- step1: Multiply the terms:
\(36e^{2}-7-120t^{2}\)
The simplified expression for \(4 \cdot 9 e^{2} - 7 - 120 t^{2}\) is \(36e^{2} - 7 - 120t^{2}\).
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Bonus Knowledge
To evict \( t \) from the expression \( 4 \cdot 9 e^{2}-7-120 t^{2} \), we want to isolate \( t \). First, simplify the constants: \[ 4 \cdot 9 = 36, \text{ thus, } 36 e^{2} - 7 - 120 t^{2} = 0. \] Now, rearranging the equation gives us: \[ 120 t^{2} = 36 e^{2} - 7. \] Dividing everything by 120 yields: \[ t^{2} = \frac{36 e^{2} - 7}{120}. \] Finally, taking the square root of both sides, we find: \[ t = \pm \sqrt{\frac{36 e^{2} - 7}{120}}. \]