the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.
<h3>What is Logarithm?</h3>
- The opposite of exponentiation is the logarithm.
- This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
- A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.
Given:
- y = 6.72 (
), where
- y = population in billions
- x = time in years
To find: Year when population is 8 billion, i.e., y = 8.
Finding:
8 = 6.72 (
)
=> 
Taking log on both sides
=> 
=> log(1.19) = x (log 1.014) (as
)
=>
= x
=> x = 
=> x = 12.58
Hence, the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.
To learn more about logarithms, refer to the link: brainly.com/question/25710806
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Answer:
:) The Inverse of the Function f(x) = 2x + 1 is f-1(x) = x/2 - 1/2.
Step-by-step explanation:
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Answer:
(p∘q)(5) = 2
(q∘p)(5) = -1
Step-by-step explanation:
The composition of functions can be written a little differently, perhaps making it easier to understand.
(p∘q)(x) = p(q(x))
(p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3
(p∘q)(5) = 2
__
(q∘p)(5) = q(p(5)) = q(2) = 2·2 -5
(q∘p)(5) = -1
Answer:
1000 : 269 : 47
Step-by-step explanation:
A ratio is a way of comparing the value or amount of one quantity to another.
We are to find the ration of water to sucrose to saline solution, hence, it must remain in that order.
Water : Sucrose : Saline solution
The amount of water is 1 litre (1 * 1000 ml = 1000 ml)
The amount of sucrose is 269 ml
The amount of saline solution is 47 ml
Therefore, the ratio of water to sucrose to saline solution is:
W : S : SS = 1000 : 269 : 47
Since 1000, 269 and 47 have no common factors, that is the simplest form of the ratio.