Model exponential decay
question
a welder drops a piece of red-hot steel on the floor. the initial temperature of the steel is 2,500 degrees fahrenheit. the
ambient temperature is 80 degrees fahrenheit. after 2 minutes the temperature of the steel is 1,500 degrees. the function
f(t) = cel-it) + 80 represents the situation, where t is time in minutes, c is a constant, and k is a constant.
after 2 minutes the temperature of the steel is 1,500 degrees. after how many minutes will the temperature of the steel be
100 degrees and therefore safe to pick up with bare hands? round your answer to the nearest whole number, and do not.
include units.
provide your answer below:
6
basic

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

If the discriminant if a quadratic equation is 4 which statement describes the roots?

The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. the function below shows the relationship between f(x) and x: f(x) = 10(1.3)xwhich of the following graphs best represents the function? graph of f of x equals 1.3 multiplied by 10 to the power of x graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity graph of f of x equals 10 multiplied by 1.3 to the power of x graph of f of x equals 1.3 to the power of x