Answer:
1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Step-by-step explanation:
We are given the following in the question:
The exponential growth model is given by:
where k is the growth rate, t is time in years and 
is constant.
The world population is 5.9 billion in 2006.
Thus, t = 0 for 2006
We have to find the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Putting these values in the growth model, we have,
1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Answer:
Step-by-step explanation:
In order to get the answer to this question you need to turn the scientific notations into standard form then subtract the two standard forms.
Turn the notations into standard form:
Turn into notation form:
Hope this helps.
Answer:
y = -5/4x + 6
Step-by-step explanation:
Since the line we are supposed to find is parallel to y = -5/4x - 5 that means they are going to have the same slope. The line we are looking for is of the following type: y = -5/4 x + b
Since it passes through the point (-8,4):
4 = -5/4 * (-8) + b <=>
4 = -2 + b <=>
4 + 2 = b <=>
b = 6
Hence the line is going to be: y = -5/4x + 6
The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)
The scale factor k can be obtained from any one of the ratios:
Answer:
46.86
Step-by-step explanation:
a^2+b^2=c^2
30^2+36^2=c^2
2196=c^2
Square root both sides
46.86=c
