You are asked to find the value of a certain number associated with the logistic formula shown below. K 1+ bet Find b if the carrying capacity is 572 and the initial population is 45. (Round your answer to the nearest whole number.) DW

The intensitylevels I of two earthquakes measured ona seismograph can be compared by the formula logI1I2=M1M2 where M is the magnitude given by the Richter Scale. In August 2009, an earthquake of magnitude 6.1 hitHonshu, Japan. In March 2011, that same regionexperienced yet another, more devastating earthquake, this time with a magnitude of 9.0.[23] Haw many timesgreater was the intensity of the 2011 earthquake?Round to the nearest whole number.

Buffalo: Waterton Lakes National Park of Canada, where the Great Plains dramatically meet the Rocky Mountains in Alberta, has a migratory buffalo bison herd that spends falls and winters in the park. The herd is currently managed and so kept small; however, if it were unmanaged and allowed to grow, then the number N of buffalo in the herd could be estimated by the logistic formula N=3151+14e0.23t Here t is the number of years since the beginning of 2002, the first year the herd is unmanaged. a. Make a graph of N versus t covering the next 30 years of the herds existance corresponding to dates up to 2032. b. How many buffalo are in the herd at the beginning of 2002? c. When will the number of buffalo first exceed 300?. d. How many buffalo will there eventually be in the herd? e. When is the graph of N, as a function of t, concave up? When is it concave down? What does this mean in terms of the growth of the buffalo herd?.

Use a calculator to help solve each problem. Alcohol absorption In one individual, the percent of alcohol absorbed into the bloodstream after drinking two glasses of wine is given by the following formula. Find the percent of alcohol absorbed into the blood after 12 hour. Pt=0.31-e-0.05t where, t is in minutes