Hospitals use radioactive tracers in many medical tests. After the tracer is used, it must be stored as radioactive waste until its radioactivity has decreased enough for it to be disposed of as ordinary chemical waste. For the radioactive isotope iodine-131, the proportion of radioactivity remaining after t days is  e−0.087t. † How soon will the proportion of radioactivity decrease to 0.001 so that it can be disposed of as ordinary chemical waste? (Round your answer to the nearest day.) days

Q: If f(x) = (x − 2) 5(2x+1) 6, then what is f"(0) ?

A:

Q: The half-life of substance X is 3.5 years.  How long will it take for a 96.0 mg sample of substance…

A:

Q: odine -131 has a half-life of approximately 8 days. ind the amount of iodine-131 left from a 100…

A:

Q: The radioactive substance neptunium-139 decays to 73.64% of its original amount after 24 hours. How…

A: Given that, in 24 hours, 73.64% of its original amount decays. So, in 24 years, 100-73.64=26.36% of…

Q: One type of strontium has a radioactive decay rate of 1.4% per day. If 30 pounds of this strontium…

A:

Q: Scientists can determine the age of ancient objects by the method of radiocarbon dating. The…

A: The half-life of the isotope is 5730 yrs.To Find:Estimate the age of the parchment.

Q: In the diagram, KN = x- 5, JN = x+ 31,LN = T+ 10, MN = I+ 1. Find the value of x. M K O A 11 B. 165

A: We will use power of a point theorem in order to find x .

Q: Nobelium is a radioactive isotope that has 25 seconds half-life. How long will it take for Nobelium…

A: The formula to calculate the amount of radioactive isotope is N=Noe-λt where N is the rest amount No…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.