I’m pretty sure that the answer 783 :)
Answer:
0.3 miles.
Step-by-step explanation:
If it takes all 3 of them to get there in a mile then it will equal to 3 miles.
True because<span> the common factor to both numbers would be an even number.
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Answer:
3/6 or 1/2 (50%)
Step-by-step explanation:
There is 6 containers of each flavor, correct?
If you pick 3 of the same flavor, 3/6, it would look like that fraction.
If you simplify it, It'd be 1/2.
If you want it as a percent, It'd be 50%.
As a decimal, It's .50.
Answer:
The correct option is D) ![f'(t)-g'(t) > 0](https://tex.z-dn.net/?f=f%27%28t%29-g%27%28t%29%20%3E%200)
Step-by-step explanation:
Consider the provided information.
People are entering a building at a rate modeled by f (t) people per hour and exiting the building at a rate modeled by g (t) people per hour,
The change of number of people in building is:
![h(x)=f(t)-g(t)](https://tex.z-dn.net/?f=h%28x%29%3Df%28t%29-g%28t%29)
Where f(t) is people entering in building and g(t) is exiting from the building.
It is given that "The functions f and g are non negative and differentiable for all times t."
We need to find the the rate of change of the number of people in the building.
Differentiate the above function with respect to time:
![h'(x)=\frac{d}{dt}[f(t)-g(t)]](https://tex.z-dn.net/?f=h%27%28x%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bf%28t%29-g%28t%29%5D)
![h'(x)=f'(t)-g'(t)](https://tex.z-dn.net/?f=h%27%28x%29%3Df%27%28t%29-g%27%28t%29)
It is given that the rate of change of the number of people in the building is increasing at time t.
That means ![h'(x)>0](https://tex.z-dn.net/?f=h%27%28x%29%3E0)
Therefore, ![f'(t)-g'(t)>0](https://tex.z-dn.net/?f=f%27%28t%29-g%27%28t%29%3E0)
Hence, the correct option is D) ![f'(t)-g'(t) > 0](https://tex.z-dn.net/?f=f%27%28t%29-g%27%28t%29%20%3E%200)