Answer:
Hey there!
Pythagorean Theorem: a^2+b^2=c^2
16+25=c^2
41=c^2
c=6.4
Let me know if this helps :)
Answer:
x = 50*e∧ -t/100
Step-by-step explanation:
We assume:
1.-That the volume of mixing is always constant 300 gallons
2.-The mixing is instantaneous
Δ(x)t = Amount in - Amount out
Amount = rate * concentration*Δt
Amount in = 3 gallons/ min * 0 = 0
Amount out = 3 gallons/min * x/ 300*Δt
Then
Δ(x)t/Δt = - 3*x/300 Δt⇒0 lim Δ(x)t/Δt = dx/dt
dx/dt = - x/100
dx/ x = - dt/100
A linear first degree differential equation
∫ dx/x = ∫ - dt/100
Ln x = - t/100 + C
initial conditions to determine C
t= 0 x = 50 pounds
Ln (50) = 0/100 * C
C = ln (50)
Then final solution is:
Ln x = - t/100 + Ln(50) or
e∧ Lnx = e ∧ ( -t/100 + Ln(50))
x = e∧ ( -t/100) * e∧Ln(50)
x = e∧ ( -t/100) * 50
x = 50*e∧ -t/100
Answer:
The distance of Satelite from the earth's surface = 2720.12 miles
Step-by-step explanation:
Below is the calculation for distance:
Use Pythagorean theorem
Distance, d² = 5400² + 4000²
d² = 45160000
d = 6720.12
Subtract the radius to find the distance from earth's surface.
Distance = 6720.12 - 4000 = 2720.12
The distance of Satelite from the earth's surface = 2720.12 miles
