Answer:
51.877 kg
Step-by-step explanation:
a
See attachment for calculations
b
The amount of salt in the tank after 4 hours is gotten by simply replacing t in the equation from a, with 4 hours. Since the t gotten in a above is in minutes, we'd convert hours to minute as well. If we do that, we have
t = 4 hours = 4 * 60 minutes = 240 minutes
y = 160/3 (1 - e^((-3 * 240)/200))
y = 160/3 (1 - e^(-720/200))
y = 160/3 (1 - 0.0273)
y = 160/3 (0.9727)
y = 51.877 kg
Therefore, the amount of salt in the tank after 4 hours is 51.877 kg
If you talk of a scatter plot, regularly the x-axis is used to plot the explanatory variable, this is the possible cause; while the y-axis is used to plot the varibale that is being explained, the result, the efffect.
If you are dealing with a function or model, you the convention is to use the x-axis for the independent variable, this is the input, while the y-axis is for the output or dependent varibale (which is determined by the independent variable).
If you actually draw the coordinates, it should be a parallelogram.
Answer:
y" = -24 / y³
Step-by-step explanation:
6x² + y² = 4
Take the derivative of both sides with respect to x.
12x + 2y y' = 0
Again, take the derivative of both sides with respect to x.
12 + 2y y" + y' (2y') = 0
12 + 2y y" + 2(y')² = 0
Solve for y' in the first equation.
2y y' = -12x
y' = -6x/y
Substitute and solve for y":
12 + 2y y" + 2(-6x/y)² = 0
12 + 2y y" + 2(36x²/y²) = 0
12 + 2y y" + 72x²/y² = 0
6y² + y³ y" + 36x² = 0
y³ y" = -36x² − 6y²
y" = (-36x² − 6y²) / y³
Solve for y² in the original equation and substitute:
y² = 4 − 6x²
y" = (-36x² − 6(4 − 6x²)) / y³
y" = (-36x² − 24 + 36x²) / y³
y" = -24 / y³
Answer:
Step-by-step explanation:
We are given a graph and asked to find the slope.
So we can see two coordinate points, one on (0, 3) and (2, 0).
When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.
So count how many times it'll take for x to get to y, base it off the picture below
Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.
Would this be negative though? No, since the graph is in an increase, not a decrease.
