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katrin [286]
3 years ago
15

Please answer number 6

Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0

Answer:

its D

Step-by-step explanation:

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Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional to the difference of
maria [59]

Answer:

  305 °F

Step-by-step explanation:

The core temperature of the object after 4 hours can be found using an exponential decay formula to model the decay of the difference between core temperature and ambient.

<h3>Cooling Model</h3>

The solution to the differential equation described by Newton's law of cooling is the exponential equation ...

  y = ab^t +c

where 'a' is the initial core temperature difference from ambient, 'b' is the decay factor of that difference in 1 unit of time period t. 'c' is the ambient temperature.

For this problem, the ambient temperature is c=80, and the differences of interest are ...

  a = 1200 -80 = 1120

  b = (830 -80)/1120 = 75/112

Using these values in the model gives ...

  y = 1120(75/112)^t +80 . . . . . . where y(t) is the core temperature at time t

Note that units of time are hours.

<h3>Application</h3>

We want y when t=4.

  y = 1120(75/112)^4 +80 ≈ 1120(0.20108) +80 ≈ 305.212

The core temperature after 4 hours is about 305 °F.

__

<em>Additional comment</em>

The differential equation will have a solution of the form ...

  T-T_R=(T_0-T_R)e^{kt}

where k = ln(75/112) ≈ -0.40101

In the above, we defined b = e^k = 75/112. Accuracy with this fraction can be better than using a truncated value of k.

5 0
2 years ago
PLZZZZZZ NEED HELP!!!!!!!
fredd [130]

Answer:

angle B=120º

Step-by-step explanation:

15+45=60

We know that all triangles have angle measures that equal 180

So 180-60=120

angle B=120º

7 0
3 years ago
The stadium sold the same number of tickets each hour for 8 hours. If they sold 2,000 tickets in all, how many tickets did they
kramer
C. 250
2,000 ÷ 8 = 250
7 0
3 years ago
What are the solutions to the equation 3(x – 4)(x + 5) = 0
Ne4ueva [31]

Answer:

x=4

x=-5

Step-by-step explanation:

in order for this to be equal to 0, 1 or both of the factors has to be 0, because anything multiplied by 0 is 0.

123 * 29382 * 8139* 0 = 0

x-4 = 0

x = 4

x+5 = 0

x=-5

7 0
3 years ago
Which is equivalent to 216 1/3?<br><br> A.3<br> B.6<br> C.36<br> D.72
nydimaria [60]
The 1/3 power is another way to write the cube root.
  ∛216 = 6
3 0
3 years ago
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