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BlackZzzverrR [31]
3 years ago
15

Will you check my math its supposed to be a face!

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0
It looks like a face to me
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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
3 years ago
At the kennel, the ratio of cats to dogs is 4:5. There are 27 animals in all.
SpyIntel [72]

Answer:

I don't know how to answer the first question

There are 15 dogs in the kennel

There are 12 cats in the kennel

Explanation:

If there is a 4 to 5 ratio then

12 cats to 15 dogs is linear

3 0
3 years ago
What percent of 75.5 is 81.54
lutik1710 [3]
If you would like to know what percent of 75.5 is 81.54, you can calculate this using the following steps:

x% of 75.5 is 81.54
x% * 75.5 = 81.54
x/100 * 75.5 = 81.54
x = 81.54 * 100 / 75.5
x = 108%

Result: 108% of 75.5 is 81.54.
8 0
3 years ago
Brooke earned $34 for 4 hours of work
zalisa [80]

Rachel earned $34 in 4 hours at her job today. She wants to know how much she could earn tomorrow if she works 10 hours at the same hourly rate. Answer:

Step-by-step explanation:

3 0
3 years ago
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12/9=20/y<br><br> solve for Y<br> what is Y?
Romashka [77]
2021 is the answer ........
6 0
3 years ago
Read 2 more answers
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