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andriy [413]
3 years ago
9

If your heart beats 65 times in one minute, how many times does it beat in a day? Tips: There are 60 minutes in one hour. There

are 24 hours in a day.
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
6 0
93600 because 65 beats in a minute x 60 minutes every hour = 3900 beats every hour.
3900 beats every hour x 24 hours = 93600
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Suppose you cool a pot of soup in a 20°C room. Right when you take the soup off the stove, you measure its temperature to be 180
dezoksy [38]

Answer:

  • 28.3 minutes
  • 53.6°C

Step-by-step explanation:

The temperature of the soup is described by Newton's Law of Cooling, which says the rate of change of temperature is proportional to the difference between the temperatures of the soup and the room. The solution to this differential equation is the exponential function ...

  f(t) = a +b·c^(t/τ)

where a is the room temperature, b is the initial difference in temperature, and c is the fractional change in the difference in temperature over time period τ.

__

<h3>application</h3>

For the given scenario, we find ...

  a = room temperature = 20 . . . . degrees C

  b = (180 -20) = 160 . . . . degrees C

  c = (100 -20)/(180 -20) = 80/160 = 1/2 . . . . in τ = 20 minutes

So, the formula for the temperature of the soup is ...

  f(t) = 20 +160(1/2)^(t/20) . . . . . . . degrees C after t minutes

__

<h3>time to 80°C</h3>

Solving for t when f(t) = 80, we find ...

  80 = 20 +160(1/2)^(t/20)

  3/8 = (1/2)^(t/20) . . . . . subtract 20, divide by 160

  20×log(3/8)/log(1/2) = t ≈ 28.3 . . . take logarithms, divide by coefficient of t

It will take about 28.3 minutes to cool to 80°C.

__

<h3>temp at 45 minutes</h3>

The temperature after 45 minutes is ...

  f(45) = 20 +160(1/2)^(45/20)

  f(45) ≈ 53.6 . . . . degrees C

After 45 minutes the temperature of the soup will be about 53.6°C.

3 0
1 year ago
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Plz help me step by step explanation would help for work plzzzz And Thank you PLEASE​
AnnyKZ [126]

Answer:

i hope this helps

Step-by-step explanation:

3 0
2 years ago
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3 numbers that are greater than 12,000 but less than 13,000
AleksandrR [38]
12001, 12002, 12003 so lol
4 0
3 years ago
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HELP ME PLEASE!!!!!!! :(
alex41 [277]

Answer:

Divide C values/T values that will tell if it is constant or not and that is the reason.

8 0
3 years ago
Joelle ordered 12 dozen doughnuts for the honor roll
Serjik [45]

Answer:

The answer is there are 30 glazed donuts

Step-by-step explanation:

there are 12 donuts to a dozen therefore 12 * 12 = 144 donuts all together.

donuts with chocolate icing

144 \times  \frac{3}{8}  = 54

with white icing and sprinkles

144 \times \frac{1}{4}  = 36

donuts with pink icing

144 \times  \frac{1}{6}  = 24

Total donuts minus donuts with icing equal glazed donuts

144 - 54 - 36 - 24 = 30

7 0
2 years ago
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