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zalisa [80]
3 years ago
9

A²-b²-c²-8b²+a²+c² what is the answer

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0
Well this only simplifies to a smaller equation
so the answer would be...

2a²-9b²
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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
Between the time lko woke up and lunchtime the temperature rose by 11 degree then by the time he went to bed the temperature dro
777dan777 [17]
The temperature is 3 degrees less then it was at lunchtime when he went to bed you didn’t ask a question or explain it so I’m assuming this is what you meant
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Listen .8 Is pronounced eight tenths or in fraction eight over ten then simplified to 4 over 5
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Ella planted of the garden in the morning. She planted of the garden in the afternoon.
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There correct answer is B!
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Which of the following is a fifth degree binomial?
Anna11 [10]

Answer:

C)

Step-by-step explanation:

2xy^{2}-5y^{5}

Binomial should have two terms. Five degree binomial means highest degree of the binomial should be 5

5 0
3 years ago
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