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.
You solve for t by cross multiplying and your result will be, t=6,-6
<span> A line that never changes, so you can choose whatever two points you want and you will always get the same slope.
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Answer:
Step-by-step explanation:
Given:
The given inequality is.
Solution:
Simplify the given expression.
Multiply by x both side of the equation.
Simplify.
Rewrite the equation as.
Therefore, is the simplest form of the given expression.
Answer:
length is 15.5 and the width is 12.5
Step-by-step explanation:
Length rectangle = 3cm. longer than its width.
Rectangle perimeter = 56 cm.
find its dimensions?
P = 2L +2w
L= w + 3
P= 56
P = 2L +2w
56 = 2(w+3) +2(w)
56 = 2w +6 + 2w
4w= 56 - 6
4w = 50
w = 50/4
w = 12.5
L= 12.5 +3 = 15.5
L= 15.5
Solution:
Length= 15.5 cm
Width = 12.5 cm
i know it looks complex but i hope this helps :)
