The amount of carbon -15 in a given sample decays exponentially with time. IF the function `C(m)=100(1/2)^(24m)` models the amount of carbon -15 remaining in the sample after m minutes, which of the following must be true?

V(y)=15,000((1)/(2))^((y)/(3)) Leah buys a car,which loses value exponentially over time.The function v above models the value of car y years after Leah buys it. Based on the function above,which of the following is true?

Radio active carbon- 14 , in a wood sample decays with a half life of 5700 years. The fraction of the radio active carbon -14, that remains after a decay period of 17,100 year is

The mean life of a radioactive sample is T_(m) . What is the time in which 50% of the sample woulf get decayed ?

A radioactive isotope X has a half life of 3 second Initially a given sample of this isotope contains 8000 atoms. Calculate (a) its decay constant , (b) the time t_1 when 1000 atoms of the isotope X remain in the sample , and (c) the number of decay per second in the sample at t =t_1 .

A n-type silicon sample of width 4 xx 10^(-3)m , thickness 25 xx 10^(-5)m and length 6 xx 10^(-2)m carries a current of 4.8 mA when the voltage is applied across the length of the sample. If the free electron density is 10^(22)m^(-3) , then find how much time does it take for the electrons to travel the full length of the sample? Given that charge on an electron e=1.6 xx 10^(-19)C

The power of a water pump is 2 Kw . If g=10 m//s^2 . What is the amount of water it can raise in 1 minute to a height of 10 m?