For both lines the slope is 5/2 or 2.5.
Since the y-intercept is zero for both, both the equations are:
y=2.5x
Or
y=5/2x
Answer:
a) The implied differential equation is 
b) The general equation is 
c) The particular equation is 
d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)
Step-by-step explanation:
The rate of change of N(t) can be written as dN/dt
According to the question, 

Integrating both sides of the equation

When t = 0, N = 400

When t = 3, N = 650

The equation for the population becomes:

At t = 5, the population becomes:

N(5) = 700 ( to the nearest 50)
Answer:
A = (x - 6)² sq. units or
A = (x² - 12x + 36) sq. units
Step-by-step explanation:
P = 4s, where s is the side.
4s = 4x - 24
s = x - 6
A = s²
A = (x - 6)² sq. units or
A = (x² - 12x + 36) sq. units
Answer: There will enough to paint the outside of a typical spherical water tower.
Step-by-step explanation:
1. Solve for the radius r from the formula for calculate the volume of a sphere. as following:
![V=\frac{4}{3}r^{3}\pi\\\frac{3V}{4\pi}=r^{3}\\r=\sqrt[3]{\frac{3V}{4\pi}}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7Dr%5E%7B3%7D%5Cpi%5C%5C%5Cfrac%7B3V%7D%7B4%5Cpi%7D%3Dr%5E%7B3%7D%5C%5Cr%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D)
2. Substitute values:
![r=\sqrt[3]{\frac{3(66,840.28ft^{3})}{4\pi}}=25.17ft](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3%2866%2C840.28ft%5E%7B3%7D%29%7D%7B4%5Cpi%7D%7D%3D25.17ft)
3. Substitute the value of the radius into the equation fo calculate the surface area of a sphere, then you obtain that the surface area of a typical spherical water tower is:

3. If a city has 25 gallons of paint available and one gallon of paint covers 400 square feet of surface area, you must multiply 25 by 400 square feet to know if there will be enough to paint the outside of a typical spherical water tower.

As you can see, there will enough to paint the outside of a typical spherical water tower.
Answer:
2
Step-by-step explanation:
Copy 1 is a scaled copy of the original triangle. The scale factor is 2, because each side in Copy 1 is twice as long as the corresponding side in the original triangle. , , Copy 2 is a scaled copy of the original triangle.