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fgiga [73]
3 years ago
12

You open a case of Cherry Coke from the garage to put cans in the refrigerator. You put the

Mathematics
1 answer:
zimovet [89]3 years ago
4 0

9514 1404 393

Answer:

  k ≈ -0.06729

Step-by-step explanation:

The initial temperature difference is 85 -36 = 49 degrees. After 5 minutes, the temperature difference is 71 -36 = 35 degrees. The constant k is the natural log of the ratio of these temperature differences, divided by the time unit.

  k = ln(35/49)/5 ≈ -0.06729

__

The equation for the temperature T of the can in the refrigerator is ...

  T = 49e^(-0.06729t) +36

_____

<em>Additional comment</em>

Be careful with the sign. If you're filling in k in e^(-kt), then the sign of k will be positive. Above, we have taken the form of the exponential term to be e^(kt), so k is negative.

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4 years ago
What is the slope of the line that passes through the pair of points? (5,2) and (7,8) the answers are 2/3,-2/3,3/2 or -3/2
Mice21 [21]
Answer:  The slope is:  "3" ; which does not appear among the                                   answer choices given.
______________________________________________

The slope, "m" is calculated as follows:
___________________________________
Given two coordinates on a line; 

m = (y₂ − y₁) / (x₂ − x₁) ;
__________________________________________

We are given the following 2 (TWO) coordinates:
__________________________________________
 1)  (5,2) ; which is:  (x₁ ,y₁) ;  so x₁ = 5 ; y₁ = 2 ; AND:
 
 2)  (7,8);  which is:  (x₂ ,y₂) ;  so x₂ = 7; y₂ = 8 ;
_____________________________________________
So;  m = (y₂ − y₁) / (x₂ − x₁) = (8−2) /.(7−5) = 6/2 = 3 .

m = 3.  The slope is: 3 ; which does not appear among the answer choices given.
______________________________________________
Alternately,
______________________________________________
We are given the following 2 (TWO) coordinates:
__________________________________________
 1)  (7,8) ; which is:  (x₁ ,y₁) ;  so x₁ = 7 ; y₁ = 8 ; AND:
 
 2)  (5,2);  which is:  (x₂ ,y₂) ;  so x₂ = 5; y₂ = 2 ;
______________________________________________
So;  m = (y₂ − y₁) / (x₂ − x₁) = (2−8) / (5−7) = -6/-2 = 3 .

m = 3.  The slope is 3 ; which does not appear among the answer choices given.
________________________________________________
6 0
3 years ago
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