It will be understood that population 6,000 billion (6*10^12) in 2017.
If this is not the case, follow the logic and the final number can be adjusted easily.
Mathematical answer:
In 2017: 6,000 billion=6000*10^9 =6*10^12
rate of increase = 1.3% per year (assumed constant)
final year = 2100
Population estimate in 2100
=6*10^12*(1.013^(2100-2017))
=6*10^12*(1.013^(83)
=6*10^12*(2.921352509198383)
=17.528*10^12
=17,528 billion.
Step-by-step explanation:
A ball is launched straight up in the air from a height of 6 feet. The velocity as a function of time t is given by :
f(t) = -32 t+285
Height of the ball is :
![h(t)=\int\limits{f(t){\cdot} dt}\\\\h(t)=\int\limits{(-32t+285){\cdot} dt}\\\\h(t)=-16t^2+285t+C](https://tex.z-dn.net/?f=h%28t%29%3D%5Cint%5Climits%7Bf%28t%29%7B%5Ccdot%7D%20dt%7D%5C%5C%5C%5Ch%28t%29%3D%5Cint%5Climits%7B%28-32t%2B285%29%7B%5Ccdot%7D%20dt%7D%5C%5C%5C%5Ch%28t%29%3D-16t%5E2%2B285t%2BC)
C is constant. Here the ball is launched from a height of 6 feet. So,
![h(t)=-16t^2+285t+6](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E2%2B285t%2B6)
At t = 2 s, ![h(t)=-16(2)^2+285(2)+6=512\ m](https://tex.z-dn.net/?f=h%28t%29%3D-16%282%29%5E2%2B285%282%29%2B6%3D512%5C%20m)
At t = 9 s, ![h(t)=-16(9)^2+285(9)+6=1275\ m](https://tex.z-dn.net/?f=h%28t%29%3D-16%289%29%5E2%2B285%289%29%2B6%3D1275%5C%20m)
Between 2 s and 9 s, the ball's height changed is : 1275 - 512 = 763 m.
Hi there!
![y + 3 = - 3(x + 5)](https://tex.z-dn.net/?f=y%20%20%2B%203%20%3D%20%20-%203%28x%20%2B%205%29)
First we need to work out the parenthesis, which can for instance be done using rainbow technique.
![y + 3 = - 3x - 15](https://tex.z-dn.net/?f=y%20%2B%203%20%3D%20%20-%203x%20%20-%20%2015)
Now subtract 3 from both sides.
![y = - 3x - 18](https://tex.z-dn.net/?f=y%20%3D%20%20-%203x%20%20-%2018)
And finally add 3x to both sides.
![3x + y = - 18](https://tex.z-dn.net/?f=3x%20%2B%20y%20%3D%20%20-%2018)
The 4th answer choice is correct.
Answer:
1/3 is a rational number
Step-by-step explanation: