Until the concerns I raised in the comments are resolved, you can still set up the differential equation that gives the amount of salt within the tank over time. Call it
.
Then the ODE representing the change in the amount of salt over time is
and this with the initial condition
You have
Integrating both sides gives
Since
, you get
so the amount of salt at any given time in the tank is
The tank will never overflow, since the same amount of solution flows into the tank as it does out of the tank, so with the given conditions it's not possible to answer the question.
However, you can make some observations about end behavior. As
, the exponential term vanishes and the amount of salt in the tank will oscillate between a maximum of about 100.4 lbs and a minimum of 99.6 lbs.
No. this is because a triangle’s short sides added together must be equal to or dreamer than the length of the longest side. for example a triangle with the side lengths 2,5,7 could be a triangle because 2+5 is equal to 7. even if the longest side was 6 units long it would still be a triangle. in this situation though the side lengths are 3,4,9. 3+4=7 and 7<9. this is not a triangle.
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Answer:
The equation representing the Grammy's height is .
The height of the Grammy is 9 inches.
Step-by-step explanation:
Given:
Base of the square = 6 inches
We need to write and solve the equation to find a Grammy's height
Solution:
Let the Grammy's height be represented by 'h'.
Now given:
Base of the square That's 3 inches more that 1/3 of the trophy's height.
So the equation can be framed as;
Hence The equation representing the Grammy's height is .
On Solving the above equation we get;
Subtracting both side by 3 we get;
Multiplying both side by 3 we get;
Hence The height of the Grammy is 9 inches.
Good luck love!