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
Y= -35
Y = -1
I put the work in the picture below!
(Hint: just substitute the x for its number and do simple adding and subtracting)
Answer:
simplify x=0 is the correct answer
Answer:
A
-2 < x ≤ 3 (All x values between -2 and 3; excluding -2 and including 3)
Step-by-step explanation:
I feel the answer is A because from what we know, domain is the x-intercept or x. So both C and D are not the answer because the y-intercept is not the domain, the y-intercept is the range. Next I looked at both A and B, well, if you look closely answer choice A says "excluding -2 and including 3" and choice B says "including -2 and excluding 3". I also seen on the graph that the point of (3,3) has a filled in dot and the point at (-2,-1) has an opened dot. A filled in dot always means you either have a ≥ (greater than or equal to sign) or a ≤ (less than or equal to sign). While an opened dot always means you just have < (greater than) or a > (less than) sign. So the correct answer is A!! Hope you have a fantastic rest of your day! :)))
