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
Kisachek [45]
2 years ago
7

Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional to the difference of

T and the temperature of the region, TR or dT over dt equals k times the quantity T minus T sub R end quantity. An object with core temperature of 1200°F is removed from a fire and placed in a region with a constant temperature of 80°F. After 1 hour, its core temperature is 830°F. What is the object's core temperature 4 hours after it is taken off the fire?
Mathematics
1 answer:
spin [16.1K]2 years ago
3 0

Answer:

- 278.4°F

Step-by-step explanation:

Temperature of Object ( T ) = 1200° F

Temperature of surrounding ( M ) = 80°F

Time ( t ) = 1 hour

dT / dt  ∝ ( M - T )

dT /dt ∝ | ( 80 - 1200 ) |

dT / dt = k ( 1120 )

(1200 - 830 ) / 1 = k ( 1120 )

hence k =  ( 1200 - 830 ) / 1120

              =   370 / 1120 = 0.33

<u>what is the object's temperature (x )after 4 hours </u>

( 1200 - x ) / 4  = 0.33 ( 1120 )

( 1200 - x ) / 4 = 369.6

hence x = 1200 -  ( 4 * 369.6 )

              = - 278.4 ° F

You might be interested in
Plz answer quickly will you brainlist
marshall27 [118]

Step-by-step explanation:

A' (1,4)

B' (5,8)

C'( 5,4)

D' (3,2)

you're graph was hard to read. but basically turn all the negative x values of the original shape into positive x values

3 0
2 years ago
Of all rectangles with a perimeter of 7​, which one has the maximum​ area? (give the​ dimensions.)
Elena L [17]
The rectangle with maximum area will actually be a square.

Each side will be of length  7/4 = 1 3/4.
3 0
3 years ago
Which decimal is equal to<br> 42<br> ?<br> 10<br> A. 0.04<br> B. 0.4<br> O c. 0.41<br> O D. 4.10
timama [110]

Answer:

C

Step-by-step explanation:

42%= \frac{42}{100}= 0.42

4 0
2 years ago
NEED HELP DUE TODAY HELP
Gennadij [26K]

Answer: C

Step-by-step explanation:

6 0
3 years ago
The measure of angle 1 is 65 degrees. What are the measures of the other seven angles? (Enter the
Anika [276]

Answer:

See solution below

Step-by-step explanation:

According to the diagram shown

m<1 = m<5 = 5=65 degrees (corresponding angle)

m<5 = m<4 - 65 degrees (alternate interior angle)

m<9 = m<8 = 65degrees (corresponding angle)

m<5 = m<8 = 65dgrees (vertically opposite angles)

m<6+m<8 = 180

m<6 + 65 = 180

m<6 = 180 - 65

m<6 = 115degrees

m<2 = m<6 = 115degrees (corresponding angles)

m<6 = m<7 = 115degrees (vertically opposite angles)

m<3 = m<7 = 115degrees(corresponding angle)

)

3 0
3 years ago
Other questions:
  • Help is needed quickly.
    5·1 answer
  • $6.59 is 25% of what numbers?
    14·1 answer
  • In the xy -plane, what is the y -intercept of the graph of the
    15·1 answer
  • Estimate by round
    14·1 answer
  • Can someone please help me with these question? Thanks!
    9·1 answer
  • Last year, Chau had $10,000 to invest. He invested some of it in an account that paid
    7·1 answer
  • What's the percent increase of 37 to 85?
    15·2 answers
  • kate has walk 6000 steps each day for one week her weekly steps Target is to walk 56,000 steps what percent on her weekly steps
    6·2 answers
  • Write an equation for each problem. Then solve. Round to the nearest tenth if necessary. 75 is what percent of 150?
    13·1 answer
  • Please help with this algebra ii question
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!