Polonium-210 is a radioactive substance. To find the next week’s amount of polonium-210, we multiply this week’s amount by 0.97. Suppose there is initially 10 grams of polonium-210. Round to two decimal places.   Write a formula that gives the amount P, in grams, of polonium-210 present after t weeks as an exponential function of t.

Q: The radioactive substance uranium-240 has a half-life of 14 hours. The amount At of a sample of…

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Q: Chemical X decays exponentially. The half-life of Chemical X is 25 days. Suppose you start with an…

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Q: Find the value of the given exponential for the indicated values of the variable. 10t/2 (a) 10/2=…

A: 10t/2   , for t=-2 10-2/2 = 10-1=1/10= 0.110t/2   , for t=-2   10-2/2 = 10-1=1/10= 0.1

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Q: A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a…

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Q: Ten percent of a radio-active substance decays in 4 days, what is the half-life of the substance?…

A: 10% of radioactive substance decays in 4 days.

Q: 3. Convert each of the following to exponential form and solve. a. n = log,16384 b. 6 = log,46656…

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Q: The formula for an exponential function is y= 54 x 0.94t , where t is measured in months.  Then the…

A: Given that y=54(0.94)t For t=0, the initial value is= 54(0.94)0 = 54(1)= 54  for t=1 , the value is…

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.