5(x – 8) + 26 = -29 what is answer and explain ?

1 answer:

4 0

First multiply x - 8 by 5:
$5x - 40 + 26 = - 29$
Now you have to leave the linear term (5x) in one side and the constant terms (-40, 26, -29) in the other:
$5x = - 29 + 40 - 26 \\ 5x = - 15$
Divide -15 by 5 and you will get the value of x
$x = \frac{ - 15}{5} \\ x = - 3$

The value of x = -3

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After sitting in a refrigerator for a while, a turkey at a temperature of 34 degrees F is placed on the counter and slowly warms

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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.