Newton's Law of Cooling states that the change
of the temperature of an object is proportional to the difference between its
own temperature and the ambient temperature over time.
Therefore when expressed mathematically, this is equivalent
to:
dT = - k (T – Ts) dt
dT / (T – Ts) = - k dt
Integrating:
ln [(T2– Ts) / (T1– Ts)] = - k (t2 – t1)
Before we plug in the values, let us first convert the
temperatures into absolute values R (rankine) by adding 460.
R = ˚F + 460
T1 = 200 + 460 = 660 R
Ts = 70 + 460 = 530 R
ln [(T2– 530) / (660 – 530)] = - 0.6 (2 - 0)
T2 = 569.16 R
T2 = 109 ºF
Answer: After 2 hours, it will be 109 ºF
Answer:
tex]a^2 - 4b \neq 2[/tex]
Step-by-step explanation:
We are given that a and b are integers, then we need to show that 
Let 
If a is an even integer, then it can be written as
, then,

RHS is a fraction but LHS can never be a fraction, thus it is impossible.
If a is an odd integer, then it can be written as
, then,

RHS is a fraction but LHS can never be a fraction, thus it is impossible.
Thus, our assumption was wrong and
.
Hi there !
You have a formule. You just have to apply it.
Let's do it then !
First of all, you must write the coordinates of the point E and F.
Therefore :


So here, we have :




Now, Let's apply the formula :


In short, the answer would be : B)

.
Hope this helps !
Photon
Answer:
The choose D (2, –1)
2x-3y=4 —> 3y=2X-4 —> y= 2/3x – 4/3
y=mx+b —> So ; m= 2/3 , b= - 4/3
y-intercept :(0, -4/3)
0=2/3x –4/3 —> 2/3x = 4/3 —> X=2
x-intercept ; (2,0)
By drawing a straight line from point 2 on the x-axis and point -4/3 on the y-axis, the points that are on the axis have been extracted, but the point (2,-1) is not on the axis . :)
I hope it helped you ^_^
Add the things in the bracket first so
2+2 = 4
then you do the 8 ÷ 2 = 4
then you multiply them together. this is because the number next to the bracket has a hidden multiply sign so
4 x 4 = 16
answer is 16