Identify the domain for each of the given functions.
(0,oo
[0, 13]
[0, 30]
[0, 150]
(0, 65)
a local animal shelter initially housed
65 puppies that were made available for
adoption. the function describes the
current number of puppies available for
adoption, where is the number of days
since the puppies were made available.
pc) = 65 - 5t
the function so describes the
number of subscribers of a video
streaming service, where tis the
number of weeks since the launch
of the website.
s(t) = 65(1.25)
an event center charges a flat $65 fee
plus $5 per guest to rent a conference
room with a maximum capacity of
30 guests. the function describes
the cost of renting the room,
where is the number of guests.
c(t) = 65 + 5t

Find the gradient of f(x,y,z)equals=left parenthesis x squared plus y squared plus z squared right parenthesis superscript negative 1 divided by 2 baseline plus ln left parenthesis x right parenthesis x2+y2+z2−1/2+ln(xyz) at the point left parenthesis negative 2 comma 1 comma negative 2 right parenthesis(−2,1,−2).

Which part of a 2-column proof is the hypothesis of the conjecture? a) given b) reasons c) prove d) statements ! i think it's b but i'm not quite

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?