Question

use the aleks calculator to evaluate each expression. round your answers to the nearest thousandth. do not round any intermediate computations.
$350e^{-0.75} = \square$
$e^{0.4} = \square$

Explanation:

Step1: Evaluate \( 350e^{-0.75} \)

First, calculate \( e^{-0.75} \). The value of \( e \approx 2.71828 \), so \( e^{-0.75}=\frac{1}{e^{0.75}}\approx\frac{1}{2.117000017}\approx0.4723665527 \). Then multiply by 350: \( 350\times0.4723665527\approx165.3282934 \). Rounding to the nearest thousandth gives \( 165.328 \).

Step2: Evaluate \( e^{0.4} \)

Using \( e \approx 2.71828 \), calculate \( e^{0.4} \). \( 0.4 \) exponent of \( e \) is approximately \( 1.491824698 \). Rounding to the nearest thousandth gives \( 1.492 \).

Answer:

\( 350e^{-0.75} \approx \boxed{165.328} \)
\( e^{0.4} \approx \boxed{1.492} \)