Answer:
x= -5
Step-by-step explanation:
-7x + 5(2x - 1) = -20
-7x + 10x - 5 = -20
3x -5 = -20
3x = -15
x = -5
The white of the stars with the blue background is white in a blue field representing a new constellation. The blue on the flag is a primary color, kind of like the center of the attention on the flag. he blue is the first thing your eyes are drawn too.
3 because the 2z minus the 3 gives you 1 rounded
Answer: 
Step-by-step explanation:
The surface area of a rectangle can be calculated with:
The surface area of a trapezoid can be calculated with:
Calculate the area of the base, wich is a rectangle:
There are two equal rectangles, therefore, multiply the area of any of them by 2:
Calculate the area of the other rectangle:
There are two equal trapezoids, therefore, multiply the area of any of them by 2:
Therefore, the surface area will be the sum of all the areas calculated:
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
