Answer:
1
Step-by-step explanation:
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:
.3
Step-by-step explanation:
.33 is .03 greater than .3
Answer:
using a negative facto to factor the expression will be:
- 7a+49b - 35 = -7(a-7b+5)
Step-by-step explanation:
Given the expression
- 7a+49b - 35
Rewrite -35 as 5 · 7
Rewrite 49 as 7 · 7
so
= -7a + 7 · 7b - 5 · 7
as -7 is the common factor, so factoring out
= -7(a-7b+5)
Thus, using a negative facto to factor the expression will be:
- 7a+49b - 35 = -7(a-7b+5)