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
Anna11 [10]
2 years ago
15

Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature

is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit, what will the temperature of the hot chocolate be after 3 minutes? (k = 0.12)
A.) 241.54 degrees

B.) 132.56 degrees

C.) 272.33 degrees
Mathematics
1 answer:
grandymaker [24]2 years ago
8 0

Answer:

B.) 132.56 degrees

Step-by-step explanation:

You might be interested in
What is the measurement of angle F?
Julli [10]

Answer (C) 50 degrees

Steps: please check the attached image for details

3 0
3 years ago
A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo
katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the boxV=x^2z

Volume of the box=12 ft^3\\

Therefore, x^2z=12\\z=\frac{12}{x^2}

The material for the base costs \$0.17/ft^2, the material for the sides costs \$0.10/ft^2, and the material for the top costs \$0.13/ft^2.

Area of the base =x^2

Cost of the Base =\$0.17x^2

Area of the sides =4xz

Cost of the sides==\$0.10(4xz)

Area of the Top =x^2

Cost of the Base =\$0.13x^2

Total Cost, C(x,z) =0.17x^2+0.13x^2+0.10(4xz)

Substituting z=\frac{12}{x^2}

C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}

To minimize C(x), we solve for the derivative and obtain its critical point

C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2

Recall: z=\frac{12}{x^2}=\frac{12}{2^2}=3\\

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0
3 years ago
100 POINTS GEOMETRY QUESTION PLEASE ANSWER !!!!!!
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

ABC have sides: 5, 7 and 10

5^2 + 7^2 = 25+47 = 72 < 10^2

so triangle ABC is obtuse

JKL has sides: 12, 35 and 37

12^2 + 35^2 = 144 + 1225 = 1369 = 37^2

so triangle JKL is right-angled

PQR has sides 12, 10 and 16

12^2 + 10^2 = 144 + 100 = 244 > 16^2

so triangle PQR is acute

5 0
3 years ago
Read 2 more answers
Which equation is not equvilant to A=1/2 bh,
ollegr [7]
Which equation is not equvilant It is c
3 0
3 years ago
Factor x3 ‒ 11x2 ‒ 7x + 77 by grouping. What is the resulting expression?
shepuryov [24]

Answer:

A. (x^{2}-7)\cdot (x-11)

Step-by-step explanation:

The third order polynomial is factored herein:

x^{2}\cdot (x-11) - 7\cdot (x-11)

(x^{2}-7)\cdot (x-11)

Which represents answer A.

6 0
3 years ago
Other questions:
  • The surface area, A, of a sphere in terms of its radius, r, is given by A(r) = 4πr2. Express r as a function of A.
    7·2 answers
  • Help on thishwwhejjddjhdhddhdhdj
    9·2 answers
  • The verticle of a triangle are (2, 18) (-2, -4), and (6,12.
    5·1 answer
  • a random sample of 50 dogs at an animal shelter were tested for heart worms , and 4 tested positive. it costs $300 to treat a do
    7·1 answer
  • 10 in
    14·1 answer
  • a string is 14.9 meters long and needs to be cut into smaller pieces of 0.52 meter each. what is the greatest number of pieces y
    5·2 answers
  • A farmer from Whidbey Island: A man claims his whalebone can detect water. You design an experiment using a set of 4 cans, 3 emp
    11·1 answer
  • One hour is equal to how many seconds? Remember, 1 hour = 60 minutes and 1 minute = 60 seconds.
    15·2 answers
  • What is an equation of a line with the given slope and y-intercept.<br><br> m = 2, b = 6
    14·1 answer
  • Can someone with the last question ​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!