Answer:
In 2010 the population become 206,123,000.
Step-by-step explanation:
Consider the provided equation.
Where P represents the population in millions.
We need to determine the year in which the country had population of 206,123,000.
As P is in millions so divide 206,123,000 by one million.
Substitute P = 206.123 in above equation.
30 year from 1980 the population become 206,123,000.
In 2010 the population become 206,123,000.
Answer:
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Step-by-step explanation:
Given that,
A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.
From Pythagorean Theorem,
(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+
Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.
∴y²= x²+10²
Differentiating with respect to t
Since the car driving towards the intersection at 13 m/s.
so,
Now
= -12 m/s
Negative sign denotes the distance between the car and the person decrease.
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.