1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stepladder [879]
3 years ago
7

If a cup of coffee has temperature 95∘C in a room where the temperature is 20∘C, then, according to Newton's Law of Cooling, the

temperature of the coffee after t minutes is T(t)=20+75e−t/50. What is the average temperature (in degrees Celsius) of the coffee during the first half hour?
Mathematics
1 answer:
muminat3 years ago
4 0

Answer:

61°C

Step-by-step explanation:

Newton's Law  of cooling gives the temperature -time relationship has:

T (t)  = 20 + 75 е⁻(t/50)-------------------------------------------------------- (1)

where Time  is in  minutes (min) & Temperature in degree Celsius (°C)

During the first half hour, t = 30 mins

Substituting into (1)

T = 20 + 75  е⁻(30/50)

  = 20 + 75(0.5488)

  =  20 + 41.16

  =  61.16°C

  ≈    61°C

You might be interested in
Which line is parallel to y= = 1/3x + 7?
Monica [59]
The answer is the third choic, or the line with the same slope.
8 0
3 years ago
Read 2 more answers
Given f (x) = 2x+3 and g(x) = 4x + 3, find each of the following.<br> b. f(4) =<br> a. g(-2)=
olga nikolaevna [1]

Answer:

Step-by-step explanation:

dn3edhb3rbrjfnfjbhghrbhjbrhhb fh3hfnhbjnjhbjffjhnj3 njn

8 0
3 years ago
A scale drawing of a patio is shown at right. The scale is 3 inches : 5.2 feet. What are the length and width of the patio? Find
ANTONII [103]

Answer:

The length is 5.2 and the width is 3 and the area is 15.6

Step-by-step explanation:

To get the area just multiply width by length

5 0
3 years ago
Read 2 more answers
What's the constant term that completes Y squared +.1y?
mafiozo [28]
According to the information you gave me I believe it is "y", as it complicates it and it's a term? 

If I missed the question please let me know
5 0
3 years ago
Solve the system of equations by the addition method.<br> 1 - 3x = -5y - 8<br> 6x<br> 3y = -5
Advocard [28]

-3x = -5y -8~~~....(i) \\\\6x -3y = -5 ~~......(ii)\\\\\text{Multiply  equation (i) by 2 and do (i) + (ii):}\\\\2 \cdot (-3x) + 6x  -3y = 2(-5y-8)  + (-5)\\\\\implies -6x +6x -3y = -10y -16 -5 \\\\\implies -3y   = -10y -21\\\\\implies -3y +10y =-21\\\\\implies 7y = -21 \\\\\implies y = -\dfrac{21} 7 = -3\\\\\text{Substitute}~y =-3~ \text{in equation (ii):} \\\\6x - 3(-3) = -5\\\\\implies 6x +9  = -5\\\\\implies 6x = -5 -9 = -14\\\\\implies x = -\dfrac{14}6 = - \dfrac{7}3\\

\text{Hence}~ (x,y) = \left(-\dfrac 73, -3 \right)

3 0
2 years ago
Other questions:
  • The first city is in the shape of a square
    13·2 answers
  • You buy 1 1/4 yards of fabric and an $8 clothing pattern. Your total cost with a 6% sales tax added is $18.55. What is the cost
    5·1 answer
  • 18.2 divided by 18 what’s the answer??
    7·2 answers
  • Is brainly working for anyone right now
    13·2 answers
  • Please help please do
    13·1 answer
  • Clark and Phil are each running to raise money. The amount of money (y), in dollars, they each raise is based on the distance (x
    14·1 answer
  • PLZ HELP ASAP!!!!
    7·1 answer
  • What's the sum of 6 feet 10 inches and 8 feet 9 inches? A. 13 ft. 19 in. B. 15 ft. 7 in. C. 15 ft. 19 in. D. 14 ft. 7 in. Mark f
    11·2 answers
  • ( Please help due today)
    10·1 answer
  • Please help me with the below question.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!