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After 72 hours, which is six half-lives (72 hours ÷ 12 hours), the amount of radioactive material remaining can be calculated using the formula ( \text{Remaining} = \text{Initial} \times \left(\frac{1}{2}\right)^{n} ), where ( n ) is the number of half-lives. Thus, ( 520 \times \left(\frac{1}{2}\right)^{6} = 520 \times \frac{1}{64} = 8.125 ) grams. Radioactive decay is modeled by an exponential function, not a linear function, as the amount decreases by half with each half-life rather than by a constant amount.
What else can I help you with?
How do scientist predict when an atom will undergo radioactive decay?
Scientists predict when an atom will undergo radioactive decay using the concept of half-life, which is the time required for half of a sample of a radioactive isotope to decay. Each isotope has a characteristic half-life that is statistically determined based on its decay rate. While the exact moment of decay for an individual atom cannot be predicted, the decay of a large number of atoms can be modeled accurately over time. Additionally, quantum mechanics plays a role in understanding the probabilistic nature of radioactive decay.
How can ecological competition be modeled?
Competition also can be modeled by examining resources rather than population growth equations.
What is a function of the cell membrane that cannot be modeled with a plastic bag?
One function of the cell membrane that cannot be accurately modeled with a plastic bag is selective permeability. The cell membrane is selectively permeable, allowing only specific molecules to pass through based on size, charge, and other factors. This selective permeability is crucial for maintaining homeostasis within the cell and regulating the passage of nutrients and waste products. A plastic bag, on the other hand, does not possess the complex proteins and channels necessary for selective permeability and cannot accurately replicate this function of the cell membrane.
Where was mendeleev's strategy for classifying elements was modeled on?
Atomic Masses
A papier mache figure is modeled on a skelton called what?
The papier mache figure modeled on a skeleton is called an armature. The armature provides a structure for the papier mache to adhere to and helps maintain the desired shape of the final figure.
What is the relationship modeled by the equation y equals 8x plus 17?
A linear relationship. Added: And a function.
How are mugs made?
Mugs are made by molding clay. Clay is a very malleable material, and can be modeled into virtually any shape.
What is the formula of distance as a function of time?
Since distance is rate multiplied by the amount of time at such a rate, this can be modeled D=rt
What is the definition of a statue?
A three-dimensional form or likeness sculpted, modeled, carved, or cast in material such as stone, clay, wood, or bronze.
How is Functional Notation used in the Medical Field specifically Nursing?
Another way to put it what variables will you encounter in nursing that can be modeled as a function.
What was we the people modeled after?
It was modeled after the Iroquois treaty.
What situation would most likely be modeled by an exponential function?
An exponential function is most likely to model situations involving growth or decay that occurs at a constant percentage rate over time. For example, population growth in a closed environment, where each individual reproduces at a constant rate, can be represented exponentially. Similarly, the decay of a radioactive substance, which decreases by a fixed percentage over equal time intervals, is another classic example of exponential behavior.
What geometric figures are modeled by the stars?
Points are modeled by stars.
What is the annual compound interest rate for an investment account modeled by the function y 12 1.18t?
The annual compound interest rate is 18 percent.
How do scientist predict when an atom will undergo radioactive decay?
Scientists predict when an atom will undergo radioactive decay using the concept of half-life, which is the time required for half of a sample of a radioactive isotope to decay. Each isotope has a characteristic half-life that is statistically determined based on its decay rate. While the exact moment of decay for an individual atom cannot be predicted, the decay of a large number of atoms can be modeled accurately over time. Additionally, quantum mechanics plays a role in understanding the probabilistic nature of radioactive decay.
Describe a real-life situation that could be modeled by a function?
You can decide how much food and soda are needed for your party. The amount of gas you will use up for the miles that you drive.
Real life situation modeled by a function?
Suppose x people are eating at a (really cheap) buffet which costs $2 a person. Then the cost y is y = 2x. With a $3 off coupon it becomes y = 2x-3 (however I'm sure that most restaurants would want a sufficient number of people to make profit). Many other real-life applications are modeled using other functions. The bell curve is among the most common form, as it is used in statistics and distributions. Population models use a logistics function, another type of transcendental function. The catenary curve occurs when a chain or power line hangs on two ends, and is modeled by the hyperbolic cosine function y = cosh(x).
