Step-by-step explanation:
5+5-2
=10-2
=8
Answer:8
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:
True
Step-by-step explanation:
The place where lines intersect is where the x and y values match up.
Just like this, if the lines do not intersect, there's no solution.
If the lines seem to be one line, there is all real number solutions.
Hope this helped!
(9/14)*6x = (27/7)x
And that is reduced by 10, then...
27/7x - 10
Answer:
y = 8
x = 21
Step-by-step explanation:
Find x first. Since there is a straight line, we can conclude it's equal to 180 degrees.
11x + 10 -61 = 180
Add 10 to negative 61.
11x - 51 = 180
Add 51 to both sides.
11x = 231
Divide 11 both sides
x = 21.
Now put x in the equations to solve.
This is for the small angle on the right side.
(21+10) = 31
This is for the big angle on the right side.
(10(21) - 61)
210 - 61 = 149.
Now for the other side, we know the degree for the smaller side on the left side since it's a vertical angle.
31 degrees for top left angle. Since we know this side is 180 just subtract 31 from 180 and you'll get 149.
18y + 5 = 149
Subtract 5 both sides.
18y = 144
y = 8.
