Answer:
5
Step-by-step explanation:
Answer:
![\theta=0.45rad](https://tex.z-dn.net/?f=%5Ctheta%3D0.45rad)
Step-by-step explanation:
The radian measure of the centeral angle of a circle of radius r and arc length of s, can be calculated using the relation: ![s=r\theta](https://tex.z-dn.net/?f=s%3Dr%5Ctheta)
The radius is given as
and the arc length is given as: ![s=10ft](https://tex.z-dn.net/?f=s%3D10ft)
Let us substitute the values into the formula and solve for
.
This implies that:
![10=22\theta](https://tex.z-dn.net/?f=10%3D22%5Ctheta)
We divide both sides by 22
![\frac{10}{22}=\theta](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B22%7D%3D%5Ctheta)
Therefore ![\theta=\frac{5}{11}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cfrac%7B5%7D%7B11%7D)
To make a 70% acid solution you will need to mix 2 gallons of pure acid to 2gallons of a 40% solution
F(x) = ㏒₃(5x - 5)
g(x) = ㏒₃(x - 1)
f(x) - g(x) = ㏒₃(5x - 5) + ㏒₃(x - 1)
f(x) - g(x) = ㏒₃(⁵ˣ⁻⁵/ₓ₋₁)
f(x) - g(x) = ㏒₃(⁵⁽ˣ⁾⁻⁵⁽¹⁾/ₓ₋₁)
f(x) - g(x) = ㏒₃(⁵⁽ˣ⁻¹⁾/ₓ₋₁)
f(x) - g(x) = ㏒₃(5)