A group of hikers is descending a mountain at a rate of 400 feet per hour. What is the change in the elevation of hikers after 6
1 answer:
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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.
Answer:
Step-by-step explanation:
Find the slope using the points, (1, -3) and (3, 1):
m = 2
Find the y-intercept (b) by substituting x = 1, y = -3, and m = 2 in
Subtract 2 from both sides
Plug in the value of m and b into the slope-intercept form equation, .
Thus:
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