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
11111nata11111 [884]
4 years ago
15

The initial temperature of a cup of tea is 200ºF. The surrounding temperature is 70ºF, and the value of the constant k is 0.6. A

pplying Newton's cooling model, the temperature of the tea after 2 hours will be ºF
Mathematics
1 answer:
Mazyrski [523]4 years ago
8 0
Newton's cooling model is ΔT = ΔTo * e ^ (-k t)

ΔTo = 200°F - 70°F = 130°F

k = 0.6

t = 2 hours

=> ΔT = 130 * e ^ (-0.6 t) = 130 * e^ (-0.6 * 2) = 130 * e ^ (-1.2)

ΔT = 39.15°F

ΔT = T - Tenvironment => T = ΔT + Tenvironment = 39.15°F + 70°F = 109.15°F ≈ 109 °F.

Answer: T = 109 °F


You might be interested in
What are the intercepts of y=4x-2?
pshichka [43]
First, solve for the x - intercept. To do so, equate y to 0 and solve for x. 

                                               0 = 4x - 2, x = 1/2

Second, solve for the y - intercept. Equate x to 0 which will give us,

                                              y = (4)(0) -2, y = -2

Therefore,  the x-intercept is 1/2 and y-intercept is -2. 
8 0
3 years ago
What is the vertex in the equation of the axis of symmetry of the graph of y=x^2-6x-7
Keith_Richards [23]

Answer:

98

Because ya he is js is k ska new aja ska ska

4 0
4 years ago
The area of a rectangle is 980 in squared. the ratio of the length to the width is 5 : 4. find the length and the width.
ella [17]
Answer:   The length of the rectangle is 35 in.

                 The width of the rectangle is 28 in.
_________________________________________________________
Explanation:
_________________________________________________________
The formula for the area, "A", of a rectangle:

Area (A) = length (L) * width (w) ; 
 
  that is:   "  A  =  L  *  w  "  ;

A = 980 in²  (given);

ratio of the length to the width is:  " 5 : 4 " (given); 

→   Find the length (L) and the width (w).
_________________________________________________________

→  980 in²  =  (5x) * (4x) ; 

in which:  " 980 in² " is the area of the triangle; 

                 " 5x" = the length (L) of the rectangle, for which we shall solve; 

                 " 4x" = the width (w) of the rectangle, for which we shall solve.
_______________________________________________________
If we find solve for "x" ; we can solve for  "5x" and "4x" (the "length" and the "width", respectively);  by plugging in the solved value for "x" ; 
_______________________________________________________

   →  980 in²  =  (5x) * (4x) ; 

   ↔   (5x) * (4x) = 980 in²  ; 

   →   (5x) * (4x) = (5) * (4) * (x) * (x)  = 20 * x² = 20x² ;

   →  20x²  =  980 ;

Divide each side by "10" ; by canceling out a "0" on each side of the equation:

   →  2x² = 98 ; 

Now, divide each side of the equation by "2" ;

   → 2x² / 2  =  98 / 2 ; 

to get:  

→  x² = 49 ; 

Now, take the "positive square root" of each side of the equation;  (since a "length or width" cannot be a "negative value") ; 
    to isolate "x" on one side of the equation; & to solve for "x" ; 

→  ⁺√(x²) = √49 ; 

to get:

→  x = 7 ;
______________________________________________________
Now, we can solve for the "length" and the "width" ; 

→  The length is:  "5x" ;   

     5x = 5(7) =  " 35 in " ; 
______________________________________________________
→  The width is:  "4x" ; 

     4x =  4(7) =  "28 in."
______________________________________________________
Let us check our answer:

    →  A = L * w ; 

    →  980 in² = ?  35 in. * 28 in. ?? ; 

   Using a calculator:  "35 * 28 = 980" .  Yes!   ;
____________________________________________________
 { Also note:  " in * in = in² " ?  Yes! } .
____________________________________________________
3 0
3 years ago
An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece. What is t
gulaghasi [49]

The length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.

Given to us

An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece.

<h3>What are the two equal parts of the wire?</h3>

We know that the length of the wire is 49 m, therefore, to cut the wire in two equal parts divide the total length of the wire by two,

\dfrac{49}{2} = 24.5

Thus, the length of each side will be 24.5.

<h3>What is the length of the shorter piece of wire?</h3>

Since we need to cut the wire such that one side of the wire is 5 less than the other, we already know the length of the equal sides deduct (5/2) from both sides to create a difference between the length of the wire.

Length of the shorter wire = 24.5 -2.5 = 22.5

Length of the longer wire = 22.5 + 5 = 27.5

Hence, the length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.

Learn more about Lengths:

brainly.com/question/8552546

3 0
2 years ago
A waiter earns $128 for 6 hours
alekssr [168]

Answer:

$21.33

Step-by-step explanation:

If the waiter earns $128 for 6 hours, divide 128 by 6.

21.33...

8 0
3 years ago
Other questions:
  • If f(x) = 7 + 4x and g(x)= 7y, what is the value of (f/g) (5)?<br><br> PLEASE HELP !! &lt;3
    15·1 answer
  • What is the answer to 4x-5x+9=5x-9?
    11·2 answers
  • A parachutist's rate during a free fall reaches 45 meters per second. What is this rate in feet per second? At this rate, how ma
    8·1 answer
  • Write a function called circle that takes a scalar input r. it needs to return an output called area that is the area of a circl
    12·1 answer
  • How do you simplify 9*499 using the distributive property?
    10·2 answers
  • Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box.
    12·2 answers
  • Find the quotient 5/6 divided by 2
    5·2 answers
  • P + 3.89 = 19.74 <br> Have a good weekend
    15·1 answer
  • A tree is located in the corner of a rectangular field.
    12·1 answer
  • Please help!!<br><br> Find the slope of the line
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!