Bioavailability is a term that refers to the fraction of an antibiotic dose taken orally that is absorbed into the bloodstream. suppose that, for a dosage of x mg, the bioavailability is h(x) = 1 2 x mg. if x mg enters the bloodstream, suppose that the amount eventually absorbed into the site of an infection is given by g(x) = 4x/(x + 4) mg. finally, if x mg is absorbed into the site of an infection, suppose that the number of surviving bacteria is given by f(x) = 3200/(8 + x2), measured in colony forming units, cfu. 1.) derive the function that relates oral dosage to the number of surviving bacteria. you do not need to simplify.

2.) suppose the antibiotic is instead administered by injection. derive the function that relates dosage to the number of surviving bacteria. you do not need to simplify. why is this different than the formula obtained in part b?

Finding tbe values of the variables in each kite

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?

The value, v, of kalani’s stock investments over a time period, x, can be determined using the equation v=750(0.80)^-x. what is the rate of increase or decrease associated with this account? 20% decrease 20% increase 25% decrease 25% increase