contaminated water is subjected to a cleaning process the concentration of the pollutants is initially 5 mg per liter of waters if the cleaning process can reduce the pollutant by 10% each hour define a function that can represent the concentration of pollutants in the water in terms of the number of hours that the cleaning process has taken place. PLEASE FIND ITS FUNCTION AND ELABORATE PIECEWISE FUNCTIONS!
Answers
Answer:
All properties of matter are either physical or chemical properties and physical properties are either intensive or extensive.
Extensive properties, such as mass and volume, depend on the amount of matter being measured.
Intensive properties, such as density and color, do not depend on the amount of the substance present.
Physical properties can be measured without changing a substance’s chemical identity.
Chemical properties can be measured only by changing a substance’s chemical identity.
Answer:
The number of hours that the cleaning process has taken place 0.9ⁿ * 5 mg/litre
Step-by-step explanation:
Given that:
The concentration of the pollutants = 5 mg/liter
The cleaning process can reduce the pollutant each hour = 10%
Pollutant 5 mg/liter
After one hour = 5 ( 1 - 10/100) = 0.9 × 5
After 2 hours = 0.9 × 5 × (1 - 10/100) = 0.9² × 5
After 3 hours = 0.9² × 5 × (1 - 10/100) = 0.9³ × 5
After n number of hours = 0.9ⁿ × 5
So, we are getting f(n) = 0.9ⁿ × 5 mg/liter
n = number of hours that the cleaning process has taken place
f(n) = Concentration of pollutants
Hence, the number of hours that the cleaning process has taken place 0.9ⁿ × 5 mg/liter
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