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
ExtremeBDS [4]
2 years ago
11

The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min

us A, where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the coffee cools from 100°C to 90°C in 1 minute at a room temperature of 25°C, find the temperature, to the nearest degree Celsius of the coffee after 4 minutes.
74
67
60
42
Mathematics
1 answer:
denis23 [38]2 years ago
4 0

Answer:

  (b)  67

Step-by-step explanation:

A solution to the differential equation describing the temperature according to Newton's Law of Cooling could be written as ...

  T = (final temp) + (initial difference)×(decay factor)^t

where the decay factor is the fraction of change during 1 unit of time period t.

__

Here, the initial difference of 100-25 = 75 degrees decays to 90-25 = 65 degrees in 1 minute. So, the units of t are minutes, the decay factor is 65/75, the initial difference is 75 degrees, and the final temperature is 25 degrees. That lets us write the equation as ...

  T = 25 +75(65/75)^t

Then for t=4, the temperature is ...

  T = 25 +75(13/15)^4 ≈ 67.3 . . . . degrees

After 4 minutes the temperature of the coffee is about 67 degrees.

You might be interested in
Please help me with this answer!! I am really stuck...No nonsense answers please.
wariber [46]

Answer:

19

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

< DBG = 1/2 ( DG)

< DBG = 1/2 ( 360 - BD - BG)

           = 1/2 ( 360 - 172 - 150)

           = 1/2 (38)

           = 19

8 0
3 years ago
Which table represents a direct variation function? A table with 6 columns and 2 rows. The first row, x, has the entries, negati
IceJOKER [234]

Answer:

The correct option is;

A table with 6 columns and 2 rows. The first row, x, has entries, negative 3, negative 1, 2, 5, 10. The second row, y, has entries, negative 7.5, negative 2.5, 5.0, 12.5, 25

Please find attached the graphs of the table data

Step-by-step explanation:

Each of the given table data of in the tables are analysed to find direct variation;

Table 1

x,               -3,                 -1,                 2,                5,                10

y,              -4.5,              -3.0,             -1.5,             0.0,              1.5              

-4.5/-3  = 1.5 ≠ -3.0/-1 = 3

No direct variation

Table 2      

x,             -5.5,               -4.5,            -3.5,            -2.5,             -1.5

y,              10,                   8,                 6,              4,                  2

10/(-5.5) = -20/11  ≠ 8/(-4.5) = -16/9

However, 10/(-5.5 + 0.5) = -2 = 8/(-4.5 + 0.5) = -2

Adjusted direct variation

Table 3              

x,              -5.5,               -5.5,             -5.5,           -5.5,            -5.5

y,              -3,                    -1,                 2,                5 ,              10                  

-3/(-5.5) ≠ -1/-5.5

No direct variation

Table 4

x,              -3,                    -1,                2,                  5,             10

y,              -7.5,                 -2.5,            5.0 ,              12.5,         25  

 -7.5/-3 = 2.5 = -2.5/(-1) = 5.0/2 = 12.5/5 =25/10

Direct variation exists        

8 0
3 years ago
Read 2 more answers
Corey bought 2 1/2 liters of paint for$60<br> what was the cost per liter of paint.
hichkok12 [17]
2 1/2 is also 2.5, therefore to calculate each liter, just 60/2.5, so the answer is $24
8 0
3 years ago
Read 2 more answers
Two jets leave an air base at the same time and travel in opposite directions. One jet travels 94 mi/h slower than the other. If
maw [93]

Answer:

1478 mi/h  

Step-by-step explanation:

The rate of change is the distance divided by the time.

\text{Rate of change} = \dfrac{\text{distance}}{\text{time}} = \dfrac{\text{2956 mi}}{\text{2 h}} = \textbf{1478 mi/h}

4 0
3 years ago
Find the​ x- and​ y-intercepts of the graph of the given equation.<br> -4x + 3y = -3.6
tino4ka555 [31]

Answer:

x intercept is (0.9,0)

y intercept is (0,-1.2)

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Which set of ordered pairs could be generated by an exponential function? A)(negative 1, negative one-half), (0, 0), (1, one-hal
    8·2 answers
  • Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (6,-5) lies on
    15·2 answers
  • A sphere of diameter 10 inches is cut by a plane which passes through its center. Find the area of the cross-section, leaving th
    10·1 answer
  • What is the area of this figure?
    6·2 answers
  • How do you use the half angle formula for <br> sin (5π/12)?
    5·1 answer
  • -/1 points
    7·1 answer
  • What does 81% 90% 80% and 34% average into 20 points
    13·1 answer
  • Pls help find the sum thank you
    5·2 answers
  • X=4 inches
    15·1 answer
  • UGHHHHHHHHHHHHHHHHHHHHHHHHH HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!