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:
x=20
Step-by-step explanation:
Square both sides
4+x/6=4
4+x=4*6
x=24-4
x=20
Y-y1=m(x-x1)
find slope
(y2-y1)/(x2-x1)
so
(-4,-1)
(3,-3)
slope=(-3-(-1))/(3-(-4))=(-3+1)/(3+4)=-2/7
y-(-1)=-2/7(x-(-4))
y+1=-2/7(x+4)
Answer:
When 1 millimeter on the map is equivalent to 1 kilometer on the ground, the map scale is 1:100000.
Step-by-step explanation:
3 .......................