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Basile [38]
3 years ago
6

T greater than negative 3

Mathematics
1 answer:
garri49 [273]3 years ago
6 0

Answer:

yes

Step-by-step explanation:

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A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati
I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

\frac{dT}{dt}=k*(T_r-T)

If we rearrange and integrate

\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}

We know that at time 0, the temperature of the drink was 52°F. Then we have:

T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20

We also know that at t=2, T=55°F

T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

7 0
4 years ago
What is the best description of the relation?
Pie

Answer:

The relation is <u>not</u> a function.

Step-by-step explanation:

A function is a relation in which no two ordered pairs have the same input  and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input corresponds with <u><em>exactly</em></u> one output.

In this case, the answer is no.  The input value of 10 corresponds with two output values, 4 and 20.  It only takes one input value to associate with more than one output value to be <u>invalid</u> as a function.

Therefore, the given relation is <em><u>not</u></em> a function.

8 0
3 years ago
What is 15/8 equal to?
yKpoI14uk [10]

Answer:

1.875

Step-by-step explanation:

i hope this helps, have a good day!

6 0
3 years ago
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It’s 11:50 am showtimeonclock
Mars2501 [29]

Answer: LOL

Step-by-step explanation:

4 0
3 years ago
Can anyone help me with this question?
poizon [28]

Answer:

45 and 13…......

Step-by-step explanation:

devide

6 0
2 years ago
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