Answer:
Given argument is valid
Step-by-step explanation:
In venn diagram
M=Mammals
R=Reptiles
G=Gators
Given that
No mammals are reptiles ,So in the diagram we indicates by cross sign(x).Also given that some reptiles are gators ,so venn diagram of reptiles and gators will cross each other.
But from the above statement we can say that those gators are reptiles can not be mammals but those are not reptiles they can be mammals.Hence some gators are not mammals.
So given argument is valid
Newton's law of cooling says the rate of change of temperature is proportional to the difference between the object's temperature and the temperature of the environment.
Here, the object starts out at 200 °F, which is 133 °F greater than the environment temperature. 10 minutes later, the object is 195 °F, so is 128 °F greater than the environment. In other words, the temperature difference has decayed by a factor of 128/133 in 10 minutes.
The solution to the differential equation described by Newton's Law of Cooling can be written as the equation
T(t) = 67 + 133*(128/133)^(t/10)
where T is the object's temperature in °F and t is the time in minutes from when the object was placed in the 67 °F environment.
The equation
T(t) = 180
can be solved analytically, but it can be a bit easier to solve it graphically. A graphing calculator shows it takes
42.528 minutes for the temperature of the coffee to reach 180 °F.
I would say it is 141
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