Answer: 
<u>Simplify both sides of the equation</u>
<u></u>
(Combine Like Terms)

<u>Subtract 1 from both sides</u>
<u></u>
<u></u>
<u></u>
<u>Divide both sides by 2.2</u>
<u></u>
<u></u>
<u></u>
<u></u>
Answer: 100 miles
Step-by-step explanation:
300+3x=500+1x
subtract 1 from both sides
300+2x=500
subtract 300 from both sides
2x=200
divide 2
x=100
Answer:
4
Step-by-step explanation:
Since the base is the same, 3, you can just get rid of it using the principles of log. What you're left with is:
2x + 1 = x + 5
Now just solve for x:
2x - x = 5 - 1
x = 4
Answer:
a) 7.78 months
b) 1116
Step-by-step explanation:
Given -

Integrating the above equation with respect to time, we get -

let us define new variable x

substituting these values in above integral equation, we get -


at t = 0, P (0) = 1075, using this condition, we get -

Answer:
Area segment = 3/2 π - (9/4)√3 units²
Step-by-step explanation:
∵ The hexagon is regular, then it is formed by 6 equilateral Δ
∵ Area segment = area sector - area Δ
∵ Area sector = (Ф/360) × πr²
∵ Ф = 60° ⇒ central angle of the sector
∵ r = 3
∴ Area sector = (60/360) × (3)² × π = 3/2 π
∵ Area equilateral Δ = 1/4 s²√3
∵ The length of the side of the Δ = 3
∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3
∴ Area segment = 3/2 π - (9/4)√3 units²