Answer:
Step-by-step explanation:
The circumference of the tree is the distance around the tree's circular top. The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
If the tree has a circumference of 16 ft, it means that
2πr = 16
πr = 16/2 = 8
r = 8/π
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
if the tree is 10ft tall, then the volume of wood it contains is
Volume = π × (8/π)² × 10
Volume = 64/π × 10
Volume = 64/3.14 × 10
Volume = 204 cubic feet
Answer:
Step-by-step explanation:
For species A,
![P =2000e^{0.05t}](https://tex.z-dn.net/?f=P%20%3D2000e%5E%7B0.05t%7D)
For species B,
![P =5000e^{0.02t}](https://tex.z-dn.net/?f=P%20%3D5000e%5E%7B0.02t%7D)
When their populations are equal,
![\begin{array}{rcl}2000e^{0.05t} & = & 5000e^{0.02t}\\e^{0.05t} & = & 2.5e^{0.02t}\\0.05t & = & \ln2.5 + 0.02t\\0.05t & = & 0.9163 + 0.02t\\0.03t & = & 0.9163\\t& = & \dfrac{0.9163}{0.03}\\\\& = & \mathbf{30.54}\\\end{array}\\\text{The populations of species A and B will be the same in $\large \boxed{\textbf{30.54 yr}}$}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D2000e%5E%7B0.05t%7D%20%26%20%3D%20%26%205000e%5E%7B0.02t%7D%5C%5Ce%5E%7B0.05t%7D%20%26%20%3D%20%26%202.5e%5E%7B0.02t%7D%5C%5C0.05t%20%26%20%3D%20%26%20%5Cln2.5%20%2B%200.02t%5C%5C0.05t%20%26%20%3D%20%26%200.9163%20%2B%200.02t%5C%5C0.03t%20%26%20%3D%20%26%200.9163%5C%5Ct%26%20%3D%20%26%20%5Cdfrac%7B0.9163%7D%7B0.03%7D%5C%5C%5C%5C%26%20%3D%20%26%20%5Cmathbf%7B30.54%7D%5C%5C%5Cend%7Barray%7D%5C%5C%5Ctext%7BThe%20populations%20of%20species%20A%20and%20B%20will%20be%20the%20same%20in%20%24%5Clarge%20%5Cboxed%7B%5Ctextbf%7B30.54%20yr%7D%7D%24%7D)
The diagram below shows the population of Species A overtaking that of Species B in about 30.5 yr.
The answer is 196 This is the answer to ur question
Al you have to do is add 4 to the equation
This gives you g(x)=4x^2+9 which is your answer