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Answer :
Answer:
1) 325° F
Step-by-step explanation:
To find the temperature of the roast when it was put into the oven, we need to use the given equation:
[tex] F = 325 - 185e^{-0.4t} [/tex]
In oven cook well done allow 25-30 minutes per 500g of meat, so, time (t) = 30 minutes.
Now
Substitute [tex] t = 30 [/tex] into the equation:
[tex] F = 325 - 185e^{-0.4 \times 30} [/tex]
Now, let's calculate the value of [tex] e^{-0.4 \times 30} [/tex]:
[tex] e^{-0.4 \times 30} = e^{-12} [/tex]
Now, compute the value of [tex] e^{-12} [/tex]:
[tex] e^{-12} \approx 6.14421235 \times 10^{-6} [/tex]
Now, substitute the value of [tex] e^{-12} [/tex] back into the equation:
[tex] F = 325 - 185 \times 6.14421235 \times 10^{-6} [/tex]
[tex] F = 325 - 0.001136679285 [/tex]
[tex] F \approx 324.9988633 [/tex]
[tex] F \approx 325 \textsf{(in nearest whole number)}[/tex]
So, the temperature of the roast when it was put into the oven was:
1) 325 °F
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