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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You can start by multiplying the first equation by twelve, by doing this you get whole numbers. This yields:
4x + 3y =12
2x - 3y = -30
As you can see, you have two terms that only differ in sign.
By adding both equations together you get this:
6x=-18 or x=-3
The reason why you can add these equations together is illustrated in the next example:
4=x
5=y
4+5=x+y
Simple no?
Now that you now x you can substitute the value in one of the equations and you get the y value:
4*-3 + 3y =12
-12 + 3y =12
3y= 24
y=8
Step-by-step explanation:
quarter circle means that you just find the are and then divide it by 4.
hence,
(3.14 × 8²) ÷ 4 = answer
the answer is 50.24 cm²
hope this helps.
The sample space would be the number of students, so 1200.
The outcome the compose the event would be drawing one name at random.
The probability of Sophia winning would be 1 out of 1200, as a fraction: 1/1200, as a decimal: 0.00083
Because there is 1200 students, the probablity would be unlikely, since the sample is a large number.