What is the missing constant term in the perfect square that starts with x 2 +14x
1 answer:
Okay, let me explain.
Basically, you need to complete the square.
So you have, +14x+__________ to equal a perfect square.
Your middle term is 14. So, what you need to do is divide fourteen by 2 which equals 7. What does 7*7 or 7 squared equal? It equals 49.
The missing constant term is 49.
I hope this helped; feel free to ask any follow-up questions.
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Answer:
- k = 0.006
- T = 48 °F
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.
