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
Aleonysh [2.5K]
2 years ago
14

A hot bowl of soup cools according to Newtons law of cooling. Its temperature (in degrees Fahrenheit) at time t is given by T(t)

= 68+144e^-0.04t, where t is given in minutes. Answer these questions What was the initial temperature of the soup? What was the temperature of the soup after 15 minutes? How long after serving is the soup 125 degrees Fahrenheit?
Mathematics
1 answer:
nata0808 [166]2 years ago
4 0
212°F
147°F
23.2 min

1) Initial temperature for t=0
T(0)=68+144e^(0)=68+144=212°F
2) After 15 min
T(15)=68+144e^(-0.04*15)=68+144e^(-0.6)=147°F
3) 125°F -> t=?
125=68+144e^(-0.04t)
144e^(-0.04t)=125-68=57
e^(-0.04t)=57/144=0.4 you can apply ln on both sides:
-0.04t=ln(0.4) solving you get t=23.3 min


You might be interested in
What is <br> r squared+7r+6=0
Firlakuza [10]

Answer:

r = -6, -1

Step-by-step explanation:

r^2 + 7r+6 =0

Factor

What 2 numbers multiply to 6 and add to 7

6*1 =6

6+1 =7

(r+6) (r+1) =0

Using the zero product property

r+6 =0        r+1 =0

r = -6            r=-1

7 0
3 years ago
Ann opened a new savings account with an initial deposit of $250. Which combination will result in a zero in balance in Ann's ac
Blababa [14]
C.  (10x3)10 - (27.5x2)10 = 0
8 0
3 years ago
HELP PLS ASP WITH THE CORRECT ANSWER I WILL GUVE YOU 17 POINTS PLS ASP!!!! Drag and drop the angles pairs to correctly match the
Tems11 [23]
COB and COD complementary
AOB and BOC adjacent angle that is neither comp. or supp.
AOC and COD supplementary
AOE and COD vertical
6 0
2 years ago
The length of a rectangle is 1 inch less than twice the width. the area is 21 inches^2 what is the length?
ale4655 [162]
Hi.

Formula for area: A = 2l + 2w, where l is the length and w is the width.

Given information:
• l = 2w - 1
• A = 21 in^2

We can plug in our values accordingly and solve for w.

A = 2l + 2w
21 = 2(2w - 1) + 2w
21 = 4w - 2 + 2w
23 = 6w - 2
23 = 6w
3.83 = w

Plug 3.83 for w into 2w - 1 to find length.

2(3.83) - 1
7.66 - 1
6.66

Finally, check your work by plugging your values into the original equation.

21 = 2(6.66) + 2(3.83)
21 = 13.32 + 7.66
21 = 20.98

Answer:
The length is approximately 6.66 inches.
4 0
3 years ago
Jasmine spent 30$ on supplies to make 60 cupcakes for a bake sale.jasmine wants to have a profit of more than 90$.Write an inequ
meriva

Answer:

$1.50

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components. From the shipment you take
    12·1 answer
  • If y=3 and 2x+4y=8 what does x equal?
    7·1 answer
  • M2-3m+ 24 = 7m<br> solve by factoring
    10·1 answer
  • HELLLLPPPP! brainliest!!!<br><br> f = 180° – 50° – =?
    6·2 answers
  • Reggie is asked to graph this system of equations:
    11·2 answers
  • Simplify: 10(-5x+4) A 5x + 4 B - 50x + 4 - 50x + 40 5x + 40​
    5·1 answer
  • A grocery store recently sold several cans of soup.
    6·1 answer
  • There are 3468 apples in a basket how many children can share them equally
    7·2 answers
  • What is the name of the relationship between ​∠2​ and ∠6 ?
    15·2 answers
  • Mai rolled a cube 40 times and got the following results​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!