Answer:
For this case we know that at the starting year 2000 the population was 9 billion and we also know that increasing with a double time of 20 years so we can set up the following model:
![18 =9(b)^20](https://tex.z-dn.net/?f=18%20%3D9%28b%29%5E20)
And if we solve for b we got:
![2 = b^20](https://tex.z-dn.net/?f=%202%20%3D%20b%5E20)
![2^{1/20}= b](https://tex.z-dn.net/?f=2%5E%7B1%2F20%7D%3D%20b)
And then the model would be:
![y(t) = 9 (2)^{\frac{t}{20}}](https://tex.z-dn.net/?f=%20y%28t%29%20%3D%209%20%282%29%5E%7B%5Cfrac%7Bt%7D%7B20%7D%7D)
Where y is on billions and t the time in years since 2000.
And for this equation is possible to find the population any year after 2000
Step-by-step explanation:
For this case we know that at the starting year 2000 the population was 9 billion and we also know that increasing with a double time of 20 years so we can set up the following model:
![18 =9(b)^20](https://tex.z-dn.net/?f=18%20%3D9%28b%29%5E20)
And if we solve for b we got:
![2 = b^20](https://tex.z-dn.net/?f=%202%20%3D%20b%5E20)
![2^{1/20}= b](https://tex.z-dn.net/?f=2%5E%7B1%2F20%7D%3D%20b)
And then the model would be:
![y(t) = 9 (2)^{\frac{t}{20}}](https://tex.z-dn.net/?f=%20y%28t%29%20%3D%209%20%282%29%5E%7B%5Cfrac%7Bt%7D%7B20%7D%7D)
Where y is on billions and t the time in years since 2000.
And for this equation is possible to find the population any year after 2000
55%
Step-by-step explanation:
to findpercentages just divide 11/20. thenove the decimal place over 2 times
Answer:
(x, -y)
Step-by-step explanation:
Look at the coordinates of the point C before the transformation (-2, 2)
look at the coordinates of the point C after the transformation, (-2,-2)
What is the difference between these two points?
Well the x is the same, the y is just the negative version of itself!
So use pythagorean theorem
a^2+b^2=c^2
a=base
b=height
c=legnth of ladder
a=2
b=c-0.5
subsitute
2^2+(c-0.5)^2=c^2
4+c^2-c+0.25=c^2
add like terms
c^2-c+4.25=c^2
subtract c^2 from both sides
-c+4.25=0
add c to both sides
4.25=c
the legnth of the ladder is 4.25 m