Question
What is the mathematical representation of a machine's efficiency? (1 point)
Responses
Efficiency = EoEi100
Efficiency = the fraction with numerator cap e o and denominator cap e i 100
Efficiency = EiEo
Efficiency = cap e i over cap e o
Efficiency = EiEo
100
Efficiency = cap e i over cap e o100
Efficiency = EoEi
100
Responses
Efficiency = EoEi100
Efficiency = the fraction with numerator cap e o and denominator cap e i 100
Efficiency = EiEo
Efficiency = cap e i over cap e o
Efficiency = EiEo
100
Efficiency = cap e i over cap e o100
Efficiency = EoEi
100
Answers
GPT-4o mini
The mathematical representation of a machine's efficiency is typically given by:
\[
\text{Efficiency} = \frac{E_o}{E_i} \times 100
\]
Where \( E_o \) represents the output energy or work done by the machine and \( E_i \) represents the input energy supplied to the machine.
From the options you provided, the correct representation is:
**Efficiency = \( \frac{E_o}{E_i} \times 100 \)**
Or, in your notation:
**Efficiency = cap e o over cap e i 100**
\[
\text{Efficiency} = \frac{E_o}{E_i} \times 100
\]
Where \( E_o \) represents the output energy or work done by the machine and \( E_i \) represents the input energy supplied to the machine.
From the options you provided, the correct representation is:
**Efficiency = \( \frac{E_o}{E_i} \times 100 \)**
Or, in your notation:
**Efficiency = cap e o over cap e i 100**