Answer:
-0.394875
Step-by-step explanation:
(9/16)*(-3/4)
9/16=.5265
-3/4=-.75
.5265*(-.75)=-0.394875
Answer:
a. 
b. 
c. 
d.
minutos
Step-by-step explanation:
a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:


b. The differential equation obtained is a differential equation of separable variables:

c. After 33 minutes of serving the coffee has cooled to 180°:

d.

Answer:
All real numbers except 3
Step-by-step explanation:
Given

Required
Determine the domain
We start by writing the following inequality

Add 6 to both sides


Divide both sides by 2



<em>As such, the domain of x is all real numbers except 3</em>
You can use the equation to find the slope of a line given two points. This equation is y2 - y1 divided by x2 minus x1. The y2 is represented by the y coordinate of the second ordered pair, but it really doesn't matter, either way you get the same answer. The same way the x2 is represented by the x coordinate of the second ordered pair. For this problem, I will just use the normal coordinates. So the second y coordinate is 3. 3 -0 = 3. So your numerator is 3. The second x coordinate is 2. 2-0 = 2. So the denominator is 2. This is 3/2. So your slope would be 3/2. Hope this helps. :D Let me know if you didn't understand something in my explanation.
Answer:
25
Step-by-step explanation:
So the denominator can be simplified to 5⁴ →
and then the 3's cancel out and we are left with 5⁴
Now our new fraction is
which then simplifies to 25