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Grace [21]
3 years ago
10

An object with initial temperature 120° F is submerged in large tank of water whose temperature is

Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

Answer:

F(t)=Ts+(T0-Ts)^{e-0.2t

Step-by-step explanation:

<u>Newton's law of cooling states </u>

"<em>that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings"</em>

Newton's Law of Cooling is given by the formula

F(t)=Ts+(T0-Ts)^{e-kt

Where

F( t )  is the temperature of the object at a given time  t

T s is the surrounding temperature

T 0  is the initial temperature of the object

k is the constant

Given k=0.2

Hence the expression is

F(t)=Ts+(T0-Ts)^{e-0.2t

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Sutopa has 3/4 of the money Maneet has. Maneet has $18 less than Kim. Together, they have $286.40. How much money does each of t
anastassius [24]

Solving a system of equations we can see:

  • Sutopa has $73.20
  • Maneet has $97.60
  • Kim has $115.60

<h3>How much money each of them has?</h3>

First, let's define the variables:

  • S =  money that Sutopa has.
  • M = money that Maneet has.
  • K = money that Kim has.

We can write the system of equations:

S = (3/4)*M

M = K - $18

S + M + K = $286.40

First, we can rewrite the second equation to get:

K = M + $18

Now we can replace the first and second equations into the third one:

(3/4)*M + M + (M + $18) = $286.40

Now we can solve this for M:

M*(1 + 1 + 3/4) = $286.40 - $18

M = $268.40*(4/11) = $97.60

Now we can find the other two values:

K = M + $18 =  $97.60 + $18 = $115.60

S =  (3/4)*M =  (3/4)*$97.60 = $73.20

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

6 0
2 years ago
If Audrey wanted to solve this equation using the square root method, which answer shows the correct sequence of steps?
Fiesta28 [93]

Answer:

C

Step-by-step explanation:

subtract 5 from both sides

6 0
3 years ago
Given the function: f(x) = 2x3 - 3/2x, find f(-4).
Sergeu [11.5K]

Answer:

D) -122

Step-by-step explanation:

Given:

f(x) = 2x^3-\frac{3}2x

We need to find f(-4).

Now by substituting the value of x =-4 in above equation we get;

f(-4)= 2\times(-4)^3-\frac{3}{2}\times(-4)\\

By using PEDMAS we will solve for exponential function first we get;

Now we know that (-4)^3=-64

So we get;

f(-4)= 2\times(-64)-\frac{3}{2}\times(-4)\\

Now using PEDMAS we will solve division.

f(-4)= 2\times(-64)-1.5\times(-4)

Now using PEDMAS we solve multiplication.

f(-4)= -128+6

Finally by subtraction we get;

f(-4)= -122

5 0
3 years ago
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