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
koban [17]
3 years ago
8

A thermometer is taken from a room where the temperature is 24oc to the outdoors, where the temperature is −15oc. After one minu

te the thermometer reads 14oc. (a) what will the reading on the thermometer be after 3 more minutes?
Mathematics
1 answer:
kap26 [50]3 years ago
7 0

Solution:

Use Newton's Law of Cooling.  


T = T_s + (T_0 - T_s)*e^(-kt)  


where  

T = temperature at any instant  

T_s = temperature of surroundings  

T_0 = original temperature  

t = elapsed time  

k = constant  


Now, we need to find this constant. We are given that after one hour, the temperature drops to 13° C in a 7°C Environment.  

T = 14, T_0 = 24, T_s = -15, t = 1, k = ?  

T = T_s + (T_0 - T_s)*e^(-kt)  

==> 14 = -15 + (24 - 7)*e^(-k)  

==> 14 = 7 + 17*e^(-k)  

==> 7 = 17*e^(-k)  

==> 7/13 = e^(-k)  

==> -k = ln(7/17)  

==> k = -ln(7/17) ≈ 0.774  

Now,


Let's calculate temperatures!  

T = ?, T_0 = 24, T_s = -15, k = 0.773, t = 3  

T = T_s + (T_0 - T_s)*e^(-kt)  

==> T = -15 + (24 –(-15))*e^[ -(0.774)(2) ]  

==> T = -15 + 39*e^(-1.548)  

==> T ≈ 15.72° C  

This the required answer.


You might be interested in
Can someone help me?
Lyrx [107]
Answer is B 1, -1

y = -2x + 5

when x = 2; y = -2(2) + 5 = 1
when x = 3; y = -2(3) + 5 = -1
8 0
3 years ago
Solve for X. Show all work
natta225 [31]

Answer:

About 11.77 centimeters

Step-by-step explanation:

By law of sines:

\dfrac{50}{\sin 62}=\dfrac{x}{\sin 12} \\\\\\x=\dfrac{50}{\sin 62}\cdot \sin 12\approx 11.77cm

Hope this helps!

8 0
3 years ago
Simplify: 18 + 8 + 2 (-5) -4<br><br> a. -10<br><br> b. -18<br><br> C. -81<br><br> d. -73
Vlada [557]
That would be d -73
7 0
3 years ago
Read 2 more answers
How would you solve for these
statuscvo [17]

Answer: 1) x> -21

2) x is less than or equal to -21

3) x is less than or equal to 16

4) x less than or equal to 3/4

8 0
2 years ago
Nichole is making 20 gift baskets.She has 15 pounds of chocolates to distribute equally among the badkets.If each basket gets th
Leni [432]

Answer:

0.75 pound

Step-by-step explanation:

Amount of chocolate put in each basket will be the pounds of chocolate divided by the number of baskets

Pounds of chocolate = 15

Number of baskets = 20

Therefore

15/20

3/5 = 0.75

0.75 pound of chocolate will be put in each basket

8 0
3 years ago
Other questions:
  • the group hiked a total of 17.4 miles on the first day. on the second day that group Heights a distance 12% more than the total
    5·1 answer
  • If the domain of a function f is {x|0≤x≤7} and the domain of a function g is {x|-2≤x≤5}, then the domain of the sum of the funct
    13·1 answer
  • NEED HELP IN MATH .THANKS
    10·1 answer
  • a parallelogram is being painted on the wall of a playroom the parallelogram measures 7.3 meters in length and has a height of 5
    9·1 answer
  • Simplify 3m2 (−6m3 )
    6·1 answer
  • so i have this question that says I was at a grocery store and my total is 35.25 but I get to the register and find out it is 25
    6·1 answer
  • Please help me with this question please
    14·1 answer
  • Calculate the surface area of the cereal box. 11in 3in 8in
    5·2 answers
  • Please help timed :( 30points
    9·1 answer
  • 1.2+3x6= <br> 2.4(8-3)=<br> 3.7+8(3+2)= <br> 4. (6-5)+(8x10)=
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!