簡約 f(72)250e^{-0.0046*72}

解

簡約

f (72) 250 e^{- 0.0046 \cdot 72}

12925.10776 \dots f

解答ステップ

f (72) \cdot 250 e^{- 0.0046 \cdot 72}

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

= 72 \cdot 250 \cdot \frac{1}{e ^{72 \cdot 0.0046}} f

数を乗じる:

0.0046 \cdot 72 = 0.3312

= 72 \cdot 250 \cdot \frac{1}{e ^{0.3312}} f

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot f \cdot 72 \cdot 250}{e ^{0.3312}}

数を乗じる:

1 \cdot 72 \cdot 250 = 18000

= \frac{18000 f}{e ^{0.3312}}

e^{0.3312} = 1.39263 \dots

= \frac{18000 f}{1.39263 \dots}

数を割る:

\frac{18000}{1.39263 \dots} = 12925.10776 \dots

= 12925.10776 \dots f