Answer:
The value of x is 5.
The value of y is 4.
Step-by-step explanation:
From the figure, the lengths of the lines with equal number of markings are equal.
So, we will have the length of 7x - 4 = 31.
We solve for 'x'.
We get: 7x = 35
⇒ x = 5
Similarly, 4y + 8 = 24
⇒ 4y = 24 - 8
⇒ 4y = 16
⇒ y = 4
Therefore, the value of x = 5 and y = 4.
Hence, the answer.
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
Step-by-step explanation:
I don't have my wallet on me. Tho could you further explain?
The answer to your question is 67 inches
Answer: 0.9660
Step-by-step explanation:
Given: Mean : 
Variance : 
⇒ Standard deviation : 
The formula to calculate z is given by :-
For x= -3
The P Value =
For x= 3
The P Value =
Hence, the probability that a given error will be between -3 and 3=0.9660
