Answer:

So it would takes approximately 6.9 hours to reach 32 F.
Step-by-step explanation:
For this case we have the following differential equationÑ

We can reorder the expression like this:

We can use the substitution
and
so then we have:

IF we integrate both sides we got:

If we apply exponential in both sides we got:

And if we replace w = u-T we got:

We can also express the solution in the following terms:

For this case we know that
since w ehave a cooloing,
, we have this model:
And if we want that the temperature would be 32F we can solve for t like this:



If we apply natural logs on both sides we got:


So it would takes approximately 6.9 hours to reach 32 F.
Answer:
ok so the answer is 1/32 or 0.03125
Step-by-step explanation:
Hope this helped!!
The slopes of perpendicular lines are negative reciprocals.
If one line has a slope of 1/6, then the negative reciprocal would be -6/1 which is simplifies as -6.
The answer is C.
2/7 x 1/3 = 2/21. it is already simplified so your answer is 2/21