(a) Using Newton's Law of Cooling,
, we have
where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get
. Integrate both sides to get
.
Since
, we solve for C:
So we get
. Use T(30) = 150 to solve for k:
So
But choose Positive because T > 75. Temp of turkey can't go under.
(b)
Dogs of the AMS.
Answer: ABCD is a parallelogram.
Step-by-step explanation:
First we plot these point on a graph as given in attachment.
From the attachment we can observe that AD || BC || x-axis .
also, AB ||CD, that will make ABCD a parallelogram , but to confirm we check the property of parallelogram "diagonals bisect each other" , i.e . "Mid point of both diagonals are equal".
Mid point of AC= 
Mid point of BD= 
Thus, Mid point of AC=Mid point of BD
i.e. diagonals bisect each other.
That means ABCD is a parallelogram.
20x + 15y = 2000
x + y = 115
55+60=115
20 (55) + 15 (60)=2000
1100+900=2000
2000=2000
33 - 4 = 29.
29 / 2 = 14.5
She traveled 14.5 miles in the cab.
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