On Novermber 27, 1993, the New York times reported that wildlife biologists have found a direct ink between the increase in the human population in florida and the decline of the local black bear population. From 1953 to 1993 the human population increased, on average, at a rate of 8% per year, while the black bear population decreased at a rate of 6% per year. In 1853 the black bear population was 11,000.

a) The 1993 human population of Florida was 13 million. What as the human population in 1953?
b) Find the black bear population for 1993.
c) If this trend continues, when will the black bear population number less than 100?

a.  1 263 888

b. 130 701

c. 72 years

Step-by-step explanation:

a. The differential equation applies here.

Let the quantity increase for a certain time be given by Q(t)

Every unity of time, the quantity increases by so that after the time t, the quantity remaining will be given by:

In a similar manner, the quantity R(t) decreases at a rate given by the following expression:

and after the time , t the quantity of R remaining will be given by:

a. To find the population of humans in 1953

1993 - 1953 = 40 years = t

Q(40) = Q×

Q = 1 263 888.44

    ≈ 1 263 888

b. For bear population in 1993:

t = 40

R(40) =

b = 130 700. 889

    ≈130 701

c. time taken for black bear population number less than 100 is given by:

130 = 11000×

solving using natural logarithms gives t = 72.72666

                                                                  =   72 years Ans

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)