answer.
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
ValentinkaMS [17]
2 years ago
6

Josephina is preparing Indian pudding for a party. She is cooking the pudding in a water-tight container submerged in boiling wa

ter. When the pudding is done, Josephina places the container of pudding out in the snow to cool down. When Josephina places the Indian pudding in the snow, the temperature of the pudding is 100°C. After 1 minute, the temperature of the pudding drops to 95°C.
a. Assuming the temperature is dependent on the minutes the pudding remains in the snow, formulate an exponential function to represent the problem situation.
Explain your process.

b. Graph the exponential function over an appropriate domain and range. Identify the key attributes including domain, range, intercept(s), and asymptotic behavior
and describe their meaning in the problem situation.
c. Josephina wants to serve the pudding when it is at a temperature of 10°C. How long will she need to leave the Indian pudding cooling in the snow for it to reach the desired temperature? Solve the problem algebraically, and round the answer to the nearest minute.

Mathematics
1 answer:
GrogVix [38]2 years ago
4 0

Answer:

a) T(t)= 100e^(-0.0513t)

b) See attachment for graph

y-intercept is inital temperature

domain is t≥0, range is 0 <T≤100

c) 44.9min

Step-by-step explanation:

a) at t=0, T=100

at t=1, T=95

T(t)= Ae^-kt

100=Ae^(-k×0)

A=100

95=100e^(-k

k=0.0513

T(t)= 100e^(-0.0513t)

b) as time reaches infinity, temperature of pudding becomes approximately equal to 0. x-axis is the asyptote of the graph

c) 10= 100e^(-0.0513t)

t= 44.9 min

You might be interested in
Bill, George, and Ross, in order, roll a die. The first one to roll an even number wins and the game is ended. What is the proba
hram777 [196]

Answer:0.5714\frac{1}{15}

Step-by-step explanation:

Given that Bill, George, and Ross, in order, roll a die.

The first one to roll an even number wins and the game is ended.

Since Bill starts the game he can win by throwing even number or lose by throwing odd number

P(win) = 0.5, otherwise, the die will go to George.  For Bill to win, both George and Ross should throw an odd number so that Bill again gets the chance with game non ending.

Thus we have Prob of Bill winning =P of Bill winning in I throw +P of Bill winning in his II chance of throw +....infinitely

To get back the dice once he loses probability

= p both throws odd = 0.5(0.5) = 0.25

Thus Prob for Bill winning

= 0.5+0.25(0.5)^2+0.25(0.5)^3(0.25)+...

This is an infinite geometric series with I term 0.5 and common ratio 0.125<1

Sum = \frac{a}{1-r} =\frac{0.5}{1-0.125} =0.5714

4 0
2 years ago
Cindy saves $420 each month . her monthly salary is $ 2100. what is the ratio of the amount cindy saves to the amount she earns
AfilCa [17]
I took the test the correct answer is 1:5.
7 0
1 year ago
Could someone help me please
Ymorist [56]

Jupiter has greatest mass.


7 0
2 years ago
Read 2 more answers
The singing club keeps sheet music in files. Each file holds 12 sheets. Of all the club's music, 2/3 fit into 3 files. How many
laila [671]
1 file -> 12 sheets

Now for 3 files -> 3*12 = 36 sheets, it takes up 2/3 of the total

So the total number of sheets: 36 / (2/3) = 54
6 0
2 years ago
Suppose the diameter at breast height (in.) of a certain type of tree is distributed normally with a mean of 8.8 and a standard
SpyIntel [72]

Answer:14

Step-by-step explanation:

beacsue i just kno i have been working on it ofro days 7+7 1+7  

and plase read the pargraphh if you don't i will (; , cryyyyyyyyyyyyyyyyyyyingggggggggggggg

aragraphs are the building blocks of papers. Many students define paragraphs in terms of length: a paragraph is a group of at least five sentences, a paragraph is half a page long, etc. In reality, though, the unity and coherence of ideas among sentences is what constitutes a paragraph. A paragraph is defined as “a group of sentences or a single sentence that forms a unit” (Lunsford and Connors 116). Length and appearance do not determine whether a section in a paper is a paragraph. For instance, in some styles of writing, particularly journalistic styles, a paragraph can be just one sentence long. Ultimately, a paragraph is a sentence or group of sentences that support one main idea. In this handout, we will refer to this as the “controlling idea,” because it controls what happens in the rest of the paragraph.

8 0
2 years ago
Other questions:
  • Is the relationship between the 7s in 7742 and the 7s in 7785 different in any way
    6·2 answers
  • Quadrilateral ABCD is translated down and left to form quadrilateral OLMN. If AB = 6 units, BC = 5 units, CD = 8 units, and AD =
    14·2 answers
  • Tameka bought three dozen donuts to take into work. There are 12 cake donuts, 6 glazed donuts, 8 chocolate donuts, and 10 bluebe
    13·1 answer
  • explain how the graph of y=-2sin(x)-1 differs from the parent function. Make sure to compare key points used for graphing
    11·1 answer
  • There are three choices of jellybeans - grape ,cherry and orange. if the probability of getting a grape is 3/10 and the probabil
    5·1 answer
  • The number of species n found on islands typically increases with the area of the island A. Suppose that this relationship is su
    10·1 answer
  • A 400 gallon tank initially contains 100 gal of brine containing 50 pounds of salt. Brine containing 1 pound of salt per gallon
    9·1 answer
  • On your first day as an apprentice at the oil refinery, you are asked to create usable graphs and tables for the other workers w
    9·1 answer
  • What is the domain of y = log Subscript 4 Baseline (x + 3)?
    10·2 answers
  • There are 45 eighth graders and 20 seventh graders in a school club. The president of this club wants 40% of the club’s members
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!