When they say quotient, they want a fraction, so the answer for that would be

and the decimal form of that would be 0.6. You can get that from dividing 6 by 10 and solving with long division.
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.
A= 12x-4(3x+2)/2. 36x2+24x-12x-8. 36x2+12x-8/2. 18x2+6x-4.
Answer:
1. a. 3xy²(7x²y³ + 5x - 4y)
2. a. (3x + 2)(5x + y)
3. d. (2a + b)(5x - 4)
Step-by-step explanation:
For #1, your answer was missing an exponent, which I boldfaced. Every term has a <em>y</em><em>²</em><em> </em>in common. Then, in numbers 2 and 3, just factor each group one at a time.
Ex: [10ax + 5bx] - [8ay - 4by]
-2x + 12 = 2y
Add 2x on both sides,
12 = 2y + 2x
Divide by 2 on both sides,
6 = y + x -> x + y = 6
The answer is D.