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.
The jar can hold a total of three tomatoes at a time.
<h3>What is
volume?</h3>
Volume is the amount of space occupied by a three dimensional shape or object.
The tomatoes is spherical with a diameter of 6 cm (radius = 6/2 = 3cm), hence:
Volume of tomatoes = (4/3) * π * radius³ = (4/3) * π * 4³ = 268 cm³
The jar is cylinder with diameter of 8 cm (radius = 8/2 = 4) and a height of 21 cm, hence:
Volume of jar = π * radius² * height = π * 4² * 21 = 1055.6 cm³
Amount of tomatoes that can be contained in jar = 1055.6 cm³ / 268 cm³ = 3.9
The jar can hold a total of three tomatoes at a time.
Find out more on volume at: brainly.com/question/12410983
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