Answer:
Yes the function is continuous.
Step-by-step explanation:
Given
and
For a function to be continuous we should have
Thus
Similarly we have
thus we can see that
Hence the function is continuous.
Answer:
slope = 10/1
Step-by-step explanation:
slope is the vertical rise over the horizontal rise
if you select two points on the line -- I used (10, 0) and (20, 20) -- and subtract the y-values you will get the vertical rise (20 - 0 = 20); if you now subtract the x-values (20 - 10 = 10) you will get the horizontal rise
so, 20/10 or 10/1
if you go from point (10, 0) to (20, 20) then you go up by 10 and over to the right by 1
Step-by-step explanation:
can you please add details to your question
Answer:
Half-life of the goo is 49.5 minutes
191.7 grams of goo will remain after 32 minutes
Step-by-step explanation:
Let denotes initial and final mass.
According to exponential decay,
Here, t denotes time and k denotes decay constant.
So, half-life of the goo in minutes is calculated as follows:
Half-life of the goo is 49.5 minutes
So,
Put
Put t = 32 minutes