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- Estimates and Fermi Calculations Assuming the human body is made primarily of water, estimate the volume of a person.The water is safe to drink if the number of cells falls below 10 cells/mL. It is 8 a.m. and you have 100,000 cells/mL with D being 15 minutes. You add the bleach to the tank. At what time can you release the water? Log Nt = Log N0 – t/D. D is the time required for a log kill.They determined that they can use this exponential model to predict the number of trees in the forest that will be infected after y years
- 0.3 Suppose the average daily metabolic rate for certain types of animals can be expressed as a function of mass by r= 120.9m where m is the mass of the animal (in kilograms) and r is the metabolic rate (in kcal per day). " dm dr dt a. If the mass of an animal is changing at a rate of find dt b. Determine for a 100-kg animal that is gaining mass at a rate of 3 kg per day. dr dt ... dr dt " dm a. If the mass of an animal is changing at a rate of dt " find dr 기 dt1.) A 232 mL cup of whole milk contains about 27 mg of cholesterol. Express the cholesterol concentration of the milk in kilograms per cubic meter (kg/m^3). 2.) A typical person has an average heart rate of 69.0 beats/min. Calculate the given questions. How many beats does she have in 7.0 years? How many beats in 7.00 years? And finally, how many beats in 7.000 years? Pay close attention to significant figures in this question.In a person infected with measles, the virus level N (measured in number of infected cells per ml of blood plasma) reaches a peak density at about t 12 days (when a rash appears) and then decreases fairly rapidly as a result of immune response. The area under the graph of N(t), the t-axis, and the lines t = 0 to t = 12, (as shown in the figure) is equal to the total amount of infection needed to develop symptoms (measured in density of infected cells x time). N= f) 1000- 12 21 The function has been modeled by the function (t) = -t(t - 21)(t + 1). Use this model with six subintervals and their midpoints to estimate the total amount of infection (in (infected cells/mL) - day) needed to develop symptoms of measles.t (infected cells/mL) day Need Help? Read It
- Assume the half-life of a substance is 32 days and the initial amount is 168.199999999996 grams. (a) Fill in the right hand side of the following equation which expresses the amount A of the substance as a function of time t (the coefficient of t in the exponent should have at least four significant digits): A = (b) When will the substance be reduced to 3.6 grams? At t = days.The volume of air we breathe in is about 10% of lung capacity perbreath. If the level of PM2.5 is constant at 40 μg/m3 over the wholeyear, how many grams of dust would you inhale in total in one year,assuming that the dust particles in every breath are all collected inyour lung?the mass m, is given the equation m=i[0.69]t. i is the intitial dose and t is the number of hours since the dose. Suppose the patient is given inital dose of 200mg. When will the amount of ibuprofen in the bloodstream be reduced by a factor of one half. round your answer to the nearest tenth of an hour
- The rate of decay of the radioactive isotope Free Neutron 239 is given by: M = -1.1 x 10-³M where M is the mass of the isotope in grams and t is time measured in minutes. A sample initially contains 3 grams of the isotope. What is the mass of the isotope present in the sample after 320 minutes? The mass is grams. Round your answer to 3 significant figures, if needed. b) How long does it take for the mass of the isotope in the sample to fall to 1.5 gram? It takes t = minutes. Round your answer to the nearest integer if needed.A population of E. coli bacteria grows exponentially with time. You believe that the mean time between divisions is t, = 26 min, and that cell death occurs on average after tm = 200 hr. The population starts with 1000 cells. Complete parts (a) through (c). (a) Use the equation N(t) = N, e0-m)t to predict how many cells are present after 3 hours. The number of cells present after 3 hours is. (Do not round until the final answer. Then round to the nearest integer as needed.)A certain breed of mouse was introduced onto a small island with an initial population of 350 mice, and scientists estimate that the mouse population is doubling every year (a) Find a function N that models the number of mice after t years M) - 350(2) (b) Estimate the mouse population after 9 years. 1X mice
