Answer:
The correct option is (a) 3759.
Step-by-step explanation:
The complete question is:
The natural resources of an island limit the growth of the population. The population of the island is given by the logistic equation 
where t is the number of years after 1980. What is the limiting value of the population?
(a) 3759
(b) 23
(c) 761
(d) 1017
Solution:
The limiting value is the value of the function P (t) for <em>t</em> → ∞.
As <em>t</em> → ∞, the expression 
→ 0.
Thus, making the denominator of P (t) 1.
So, the limiting value of the population is, 3759.
Thus, the correct option is (a) 3759.
A because it isn't a whole number or integer or irrational
Answer:
Option H
Step-by-step explanation:
Option F
If two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.
True.
Option G
If two lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the lines are parallel.
True
Option H
If two line are cut by a transversal so that a pair of vertical angles are congruent, then the lines are parallel.
Since, vertical angles don't prove the lines cut by a transversal are parallel.
So the statement is False.
Option J
If two lines are are cut by a transversal so that a pair of same side interior angles are supplementary, then the lines are parallel.
True.
Given:
In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.
To find:
The all possible values of ∠X, to the nearest degree.
Solution:
Law of Sines:
For ΔWXY,
Now,
Therefore, the value of ∠X is 17 degrees.
Answer: 1539π cubic inches.
Step-by-step explanation:
In the figure, we have a hemisphere joined with a cylinder of the same diameter 18 inches.
Radius = 9 inches (half of diamter)
Volume of hemisphere = 
Volume of cylinder = 
, where r= radius h= height
Volume of hemisphere= 
Volume of cylinder = 
Combined volume = 486π+1053π=1539π cubic inches.
Hence, the volume of the solid = 1539π cubic inches.
