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vlabodo [156]
2 years ago
12

When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C room its temperature has incr

eased to 10°C. (Round your answers to two decimal places.) (a) What is the temperature of the drink after 55 minutes?

Mathematics
1 answer:
Andrews [41]2 years ago
3 0

Answer:

  (a)  13.85 °C

Step-by-step explanation:

The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...

  ΔT = 15(10/15)^(t/25)

We want to find the value of this at t=55. It is ...

  ΔT = 15(2/3)^(55/25) ≈ 6.15

This is the amount the temperature of the drink is below room temperature.

  drink temperature = (20 - 6.15) °C = 13.85 °C

The temperature of the drink after 55 minutes is about 13.85 °C.

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What is 27/125 as a circuit
SSSSS [86.1K]

Answer:

Step-by-step explanation:

Find an answer to your question The voltage is 27/125 and it has been reduced 3 times. What is the original voltage in the circuit?

6 0
3 years ago
How do you do this (the first one)? i've been sitting trying to do this for literally half an hour.
joja [24]
Spain = 140
Italy = 40
France = 60
U.S.A = 120
total = 18,000,000

Spain : 140/360 = 39%.....0.39(18,000,000) = 7,020,000
Italy : 40/360 = 11%....0.11(18,000,000) = 1,980,000
France : 60/360 = 17%....0.17(18,000,000) = 3,060,000
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3 years ago
What is 570 degrees in radian measure terms of pi ?
schepotkina [342]
The answer is 9.94838
8 0
2 years ago
Question Progress
Anastaziya [24]

Answer: Please see explanation column for answer

Step-by-step explanation:

According to sequence   2, 6, 18, 54, 162

--we can see that it is a geometric sequence since to go from one term to the next requires us to  multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.

ie term 2/ term 1= 6/2 = 3

term 3/ term 2= 18/6= 3

term 4/ term 3= 54/28= 3

term 5 / term 4= 162/54=3

term 6 will therefore be 162 x3 = 486

and term 7 = 486 x 3=1,458 and so on

Recall that  nth term of GP is

Tn = ar^n-1

Where a= first term

r= common ratio

n= term

such that to easily find particular term, we  plug in the values and calculate

for example the 10th term of the above sequence

Tn = ar^n-1

= 2 X 3 ^(10-1)

2 X 3^9

T10 =39,366

4 0
3 years ago
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