0
For decay rates/decay factors in functions:
The decay rate is the actual amount you are substituting into an equation. For example, a common exponential function such as "y=a(b)^x" would show exponential decay if it were written as "y=i(1-r)^t".
"i" represents the initial amount, such as in the previous example, would be $100. "(1-r)" is the decay factor, whereas the "r" is your decay rate. The decay factor is derived from 1-r because a function would only be considered decaying if the growth/decay factor is less than 1. Another way of looking at this principal is if we were to say a car we bought lost 8% of its value every year. Then it would only be retaining 92% of it's initial value. "t" is your time unit, or the number of times the function is applied.
Example:
A medical patient is given 400 mg of antibiotics. Say that 10% of the medicine given to a patient is eliminated by the patient's body every 2 hours. How much medicine will remain in the patient's blood stream in 4 hours?
Sample equation: y=i(1-r)^t --> "i" in this case would be 400, or the 400 mg given to the patient on. (1-r) would be 1-10% or 1-0.10 -- the amount of antibiotic that will remain in the patients body. "t" in this case would be 2, because the eliminated amounts are only calculated in 2 hour increments, with 4 hours total in the problem.
Your equation: y=400(1-0.10)^2
y=400(0.90)^2
y=400(0.81)
y=324 mg of antibiotics left in the blood stream
The decay rate refers to the percentage decrease in a quantity over a given time period. The decay factor, on the other hand, represents the multiple by which a quantity decreases over time, often expressed as a fraction or decimal less than 1. The decay rate is calculated as the difference between 1 and the decay factor, providing complementary perspectives on the same concept of decreasing values.
Add your answer:
Earn +20 pts
What is the difference between Chemical kinetics vs Chemical decay?
Chemical kinetics studies the speed at which chemical reactions occur, including factors influencing reaction rates. Chemical decay specifically refers to the decrease in concentration of a substance over time due to chemical reactions like decomposition or radioactivity. Chemical decay is a type of chemical kinetics involving the study of reaction rate changes as a function of time.
What is a nuclear decay graph?
A nuclear decay graph shows the quantity of a radioactive substance remaining over time as it undergoes decay. The graph typically displays a decreasing exponential curve reflecting the steady decrease in the amount of the radioactive substance as it decays into a more stable form. It helps in understanding the decay process and calculating the half-life of the substance.
What is the method called which dates organic material such as bones and wood?
Radiocarbon dating is the method used to date organic material such as bones and wood by determining the amount of carbon-14 present. This method relies on the fact that carbon-14 decays at a known rate, allowing scientists to estimate the age of the material based on the remaining carbon-14.
Is acceleration the slope of velocity vs time graph?
No, acceleration is the rate of change of velocity with respect to time. It is the derivative of the velocity function, not the slope of the velocity vs. time graph. The slope of the velocity vs. time graph represents the rate of change of velocity, not acceleration.
What are the units of rate?
any rate is a comparison of two changing quantities, usually one of them is time. distance vs time is a rate called speed wit units of meters per second, or miles per hour, or many others
What is the difference between Chemical kinetics vs Chemical decay?
Chemical kinetics studies the speed at which chemical reactions occur, including factors influencing reaction rates. Chemical decay specifically refers to the decrease in concentration of a substance over time due to chemical reactions like decomposition or radioactivity. Chemical decay is a type of chemical kinetics involving the study of reaction rate changes as a function of time.
Is a radioactive decay a predictable process?
Yes. The process proceeds at the same rate for any given sample of an isotope, such that its mass is reduced by half at some regular interval, called its half-life. The type of decay is also predictable. Making a graph by plotting the atomic number vs the mass number of stable isotopes can be used to predict decay. If you then locate the position of some unstable isotope and it is on one side of the stable isotopes it indicates beta decay, but if on the other side it indicated alpha decay.
How fast does it takes for fast foods vs healthy food to decay?
I don't know but don't try it either but I think fast foods decay faster because of greasy fat cells
What is a nuclear decay graph?
A nuclear decay graph shows the quantity of a radioactive substance remaining over time as it undergoes decay. The graph typically displays a decreasing exponential curve reflecting the steady decrease in the amount of the radioactive substance as it decays into a more stable form. It helps in understanding the decay process and calculating the half-life of the substance.
What is decay vs interference?
Decay theory refers to the idea that memories fade or weaken over time if they are not accessed or used. Interference theory suggests that forgetting occurs when new information interferes with the ability to recall previously learned information. Decay is based on the passage of time, while interference is related to the presence of competing or similar information.
How to do a science project on Soda vs water which decays a tooth the fastest?
To compare how soda vs water affects tooth decay, you can immerse a tooth in each liquid for a period of time and observe the changes. Measure the pH level of each liquid and record the results. Consider consulting with a dental professional for guidance on how to accurately assess tooth decay.
What is the method called which dates organic material such as bones and wood?
Radiocarbon dating is the method used to date organic material such as bones and wood by determining the amount of carbon-14 present. This method relies on the fact that carbon-14 decays at a known rate, allowing scientists to estimate the age of the material based on the remaining carbon-14.
What rots teeth more diet vs regular?
Diet rots less.Here's how it works. There are two elements at work here: sugars and acids. The artificial sugar in diet soda contribute toward tooth decay, "real" sugar does. Artificial sweeteners are just the wrong "stuff" and not what cavities need to develop.However, all sodas have acids in them, which wear on the enamel of the tooth. This doesn't directly cause tooth decay, i.e. it's not tooth decay just by itself, but it lets sugars, starches, and all else that would decay your teeth to do so more easily.Neither kind of pop would do very much tooth decay if you drink them with a meal (so the soda pop's sugar gets taken off your teeth by saliva and food), drink through a straw (often achieving much less contact with your teeth!), or rinse your mouth out with water and brush your teeth soon afterwards.
What is meant by the order of a chemical reaction?
The order of a chemical reaction refers to the mathematical relationship between the rate of the reaction and the concentration of reactants. It is determined by experimentally measuring how changes in reactant concentrations affect the rate of the reaction. The order can be zero, first, second, or higher order, indicating how the rate of the reaction changes with the concentration of reactants.
How do you determine order of a reaction when the initial concentration is doubled and the initial rate is increased by a factor of 8?
i think that u need to look at the rate equation which is RATE=K*(X)*Y WHERE Y IS THE ORDER OF REACTION WRT DAT REAGENT SO IF THE CONC INCREASED BY 2 AND UR RATE BY 8 THEN WE (2)*3=8 HENCE IT IS A THIRD ORDER RXN IF U DONT BELIEVE ME PLOT GRAPHS OF CONC VS TIME OR REACTION RATE VS CONC THE SHAPE TELLS US THE ORDER.....
Why do you need slope?
Slopes give you the rate of change. On a distance vs. time graph the rate of change (i.e. the slope) is the velocity. On a Velovity vs. Time graph the rate of change is the acceleration. etc.
What age rate is aliens vs predators?
16+
