Answer:
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:
29/4
Step-by-step explanation:
convert to improper fraction
Answer: The answer is: -2
Step-by-step explanation:
Here, suppose
(5,-2)=(x1, y1)
(-7,22)=(x2, y2)
Now, use the slope equation to find slope(m).
y2-y1=m(x2-x1)
or,m=y2-y1/x2-x1
After this, just substitute the values from above.
Answer:
D
Step-by-step explanation:
this is because the graph is increasing uniformly
(f + g)(x) = 7x + 6 + 4x² = 4x² + 7x + 6
The notation given means to add the rules of f(x) and g(x), and since there are no like terms, your answer is 4x² + 7x + 6