Answer: That is the final answer, y=30w+200
Step-by-step explanation:
Answer: 3
Step-by-step explanation: got it right on edge
Answer: 33
Step-by-step explanation:
Angles inscribed in the same arc are congruent, so
![13+4x=-7+8x\\\\20+4x=8x\\\\20=4x\\\\x=5\\\\\implies m\angle CDE=-7+5(8)=33^{\circ}](https://tex.z-dn.net/?f=13%2B4x%3D-7%2B8x%5C%5C%5C%5C20%2B4x%3D8x%5C%5C%5C%5C20%3D4x%5C%5C%5C%5Cx%3D5%5C%5C%5C%5C%5Cimplies%20m%5Cangle%20CDE%3D-7%2B5%288%29%3D33%5E%7B%5Ccirc%7D)
Answer:
The population in 2017 is 171 million
Step-by-step explanation:
Let's assume population starts from 1991
so,
initial population is 147 million
so, ![A=147](https://tex.z-dn.net/?f=A%3D147)
we can use formula
![P=Ae^{kt}](https://tex.z-dn.net/?f=P%3DAe%5E%7Bkt%7D)
we can plug A=147
![P=147e^{kt}](https://tex.z-dn.net/?f=P%3D147e%5E%7Bkt%7D)
In 1998:
t=1998-1991=7
![P=153](https://tex.z-dn.net/?f=P%3D153)
now, we can plug these values into formula and find k
![153=147e^{7k}](https://tex.z-dn.net/?f=153%3D147e%5E%7B7k%7D)
Divide both sides by 147
![\frac{147e^{7k}}{147}=\frac{153}{147}](https://tex.z-dn.net/?f=%5Cfrac%7B147e%5E%7B7k%7D%7D%7B147%7D%3D%5Cfrac%7B153%7D%7B147%7D)
![e^{7k}=\frac{51}{49}](https://tex.z-dn.net/?f=e%5E%7B7k%7D%3D%5Cfrac%7B51%7D%7B49%7D)
![\ln \left(e^{7k}\right)=\ln \left(\frac{51}{49}\right)](https://tex.z-dn.net/?f=%5Cln%20%5Cleft%28e%5E%7B7k%7D%5Cright%29%3D%5Cln%20%5Cleft%28%5Cfrac%7B51%7D%7B49%7D%5Cright%29)
![k=\frac{\ln \left(\frac{51}{49}\right)}{7}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B%5Cln%20%5Cleft%28%5Cfrac%7B51%7D%7B49%7D%5Cright%29%7D%7B7%7D)
![k=0.00572](https://tex.z-dn.net/?f=k%3D0.00572)
now, we can plug it back
and we get
![P=147e^{0.00572t}](https://tex.z-dn.net/?f=P%3D147e%5E%7B0.00572t%7D)
In 2017:
t=2017-1991=26
we can plug it and find P
![P=147e^{0.00572\times 26}](https://tex.z-dn.net/?f=P%3D147e%5E%7B0.00572%5Ctimes%2026%7D)
![P=170.57](https://tex.z-dn.net/?f=P%3D170.57)
So,
The population in 2017 is 171 million
To ease your live re write each one by using sin, cos, tan, knowing well that:
cscx = 1/sin x ( sin of an angle = opposite side/hypotenuse(23)
secx = 1/cos x (cos of an angle = adjacent side/hypotenuse(23)
cotx = 1/tanx (tan of an angle = opposite side/adjacent side)
Work it out & if you have difficulties do let me know