Answer:
Step-by-step explanation:
The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...
(31/38)^(t/35) = e^(-kt)
Taking the natural log, we find ...
(t/35)ln(31/38) = -kt
k = ln(38/31)/35 ≈ 0.00581711
To the nearest thousandth, this is ...
k ≈ 0.006
Using this in the equation for temperature, we have ...
T = 72 -38e^(-0.006t)
Filling in the desired value for t (80), we find the turkey temperature after 80 minutes to be about
T = 72 -38e^(-.006×80) = 72 -38e^-.48 ≈ 48.49
T ≈ 48 °F
The value of k is about 0.006, and the turkey temperature is about 48 °F.
9514 1404 393
Answer:
Step-by-step explanation:
The Pythagorean theorem tells you that the area of the square with side 'a' is the difference of the areas of the other two squares.
a² = 7² -4²
a² = 49 -16 = 33
a = √33
Answer:
The answer to your question is the first graph in the second line.
Step-by-step explanation:
First graph in the first line: it shows a positive graph that intercepts the y-axis in 5, then this graph is not the correct answer.
Second graph in the first line: it shows a negative graph, this option is incorrect, we look for a positive graph.
First graph in the second line: is correct because is a positive graph and intercpts the y-axis in 4.
Second graph in the second line: is incorrect although it is a positive graph, it intercepts the y-axis in 3.
Answer:
The diameter decreases at a rate of 0.053 cm/min.
Step-by-step explanation:
Surface area of an snowball
The surface area of an snowball has the following equation:
In which d is the diameter.
Implicit differentiation:
To solve this question, we differentiate the equation for the surface area implictly, in function of t. So
Surface area decreases at a rate of 3 cm2/min
This means that 
Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.
This is 
when 
. So
The diameter decreases at a rate of 0.053 cm/min.
Answer:
159
Step-by-step explanation:
10^2+(3+5)^2-5
-> 100 + (3+5)^2 -5
-> 100 + 8^2 - 5
-> 100 + 64 - 5
-> 159
