Newton’s Law ofCooling states that the temperatureTof an object at any time t can be described by theequation T = T s + ( T 0 − T s ) e − k t , where T s is thetemperature of the surrounding environment, T 0 is the initial temperature of the object, and k is thecooling rate. Use the definition of a logarithm alongwith properties of logarithms to solve the formula fortime tsuch that tis equal to a single logarithm.
Newton’s Law ofCooling states that the temperatureTof an object at any time t can be described by theequation T = T s + ( T 0 − T s ) e − k t , where T s is thetemperature of the surrounding environment, T 0 is the initial temperature of the object, and k is thecooling rate. Use the definition of a logarithm alongwith properties of logarithms to solve the formula fortime tsuch that tis equal to a single logarithm.
Newton’s Law ofCooling states that the temperatureTof an object at any time t can be described by theequation
T
=
T
s
+
(
T
0
−
T
s
)
e
−
k
t
,
where
T
s
is thetemperature of the surrounding environment,
T
0
is the initial temperature of the object, and k is thecooling rate. Use the definition of a logarithm alongwith properties of logarithms to solve the formula fortime tsuch that tis equal to a single logarithm.
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A falling object travels a distance given by the formula d = 6t + 9t2 where d is in feet
and t is the time in seconds. How many seconds will it take for the object to travel
112 feet? Round answer to 2 decimal places. (Write the number, not the units).
Your Answer:
Solve by the quadratic formula or completing the square to obtain exact solutions.
2
e
104
OA) -16±3√6
B) 8±√10
O c) -8±√10
OD) 8±3√√6
U
Question 14 (1 point)
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The frame on a picture is 18 in by 22 in outside and is of uniform width. Using
algebraic methods, what is the width of the frame if the inner area of the picture
shown is 250 in²2? Write answer to 2 decimal places. (Write the number with no
units).
18 in
Your Answer:
22 in
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