(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:
OPTION A
Step-by-step explanation:
To find the table substitute the points on the given function and compare the values.
The given function is: 
.
OPTION A:
(i) When x = -2
LHS = y = 6.
RHS = (-2)² + 2 = 4 + 2 = 6.
LHS = RHS
(ii) When x = -1
LHS = y = 3
RHS = (-1)² + 2 = 1 + 2 = 3.
LHS = RHS
(iii) When x = 0
LHS = y = 2
RHS = 0² + 2 = 2.
LHS = RHS
(iv) When x = 1
LHS = y = 3
RHS = (1)² + 2 = 1 + 2 = 3.
LHS = RHS
(v) When x = 2
LHS = y = 6
RHS = (2)² + 2 = 4 + 2 = 6
LHS = RHS
OPTION B:
(i) When x = -2
LHS = y = -2
RHS = (-2)² + 2 = 6
LHS 
RHS
OPTION B is eliminated.
OPTION C:
(i) When x = -2
Using the same reason as OPTION B this option is eliminated as well.
So, OPTION A is the correct answer.
Answer:
0/8
Step-by-step explanation: i tried my best
Step-by-step explanation:
a)
135
/ \
3. 45
/ \
3. 15
/ \
3. 5
b)
250
/ \
10 .25
/\ / \
2 5. 5 5
c)
351
/ \
3. 117
/ \
3. 39
/ \
3. 13
Hope it helps :)
Answer:
The first one is a line because a line extends infinitely in both directions which the arrows indicate.
The second one is a plane since it is a 2-dimensional shape.
The last one depicts 2 rays because rays have one endpoint, but extend infinitely in the other direction.
