Answer:
ΔT = ΔT0 e^-K T
As I understand Newton's Law of Cooling
ΔT at any time is the difference between the temperature and the surroundings
Originally ΔT0 = 95 - 22 difference between 95 and room temperature
65 - 22 = 33 = 73 e^-KT where t is time to cool to 65 deg
ln (33/73) = -KT K = .794 / 5 = .159 where 5 is time to cool to 65 deg
40 - 22 = 73 e^-.159 T where t is time to cool to 40 deg
18 = 73 e^-.159 T
ln (18 / 73) = -.159 T
T = 8.8 min
It would take 8.8 min for the object to cool to 40 deg C
Suppose the object cooled from 95 to 90 deg, then
ln 68 / 73 = -.159 T and T = .45 min
Answer:
Option D. x = 4
Step-by-step explanation:
we have
we know that
The solution of the system
f(x)=g(x)
is the x-coordinate of the intersection point both graphs
using a graphing tool
The intersection point is (4,2)
see the attached figure
therefore
The solution is x=4
Answer:
x = 20
Step-by-step explanation:
The triangle is isosceles ( 2 congruent sides )
Hence the base angles are congruent, thus
3x = 60 ( divide both sides by 3 )
x = 20
Answer:
B
Step-by-step explanation:
If A = {1, 2, 3} and B = {1, 2, 3, 4, 5}
We say that A is a subset of B, since every element of A is also in B.
So
If set A is all odd numbers then R belongs to A bcz all the elements of R are odd numbers
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