A solid object is dropped into a pond with a temperature of 20 degrees Celsius. The function f(t) = Ce(-kt) + 20 represents the situation where t is time in minuetes, C is a constant and k = 0.0399. After 4 minutes the object has a temperature of 35 degrees Celsius. What was the initial temperature of the object

Answers

Answer 1

Given :

A solid object is dropped into a pond with a temperature of 20 degrees Celsius.

The function f(t) = Ce(-kt) + 20 represents the situation where t is time in minutes, C is a constant and k = 0.0399.

To Find :

The initial temperature of the object.

Solution :

Putting t = 4 in given equation, we get :

[tex]35 = Ce^{(-0.0399)\times 4)}+20\\\\15 = Ce^{-0.16}\\\\C = 15\times e^{0.16}\\\\C = 17.60[/tex]

Putting value of C in given equation, we get :

[tex]f(t) = 17.60e^{-0.0399t} + 20[/tex]

Now, for initial temperature is given at t=0 s .

[tex]f(t) = 17.60e^{-0.0399\times 0} + 20\\\\f(t) = 37.60^o\ C[/tex]

Therefore, the initial temperature of the object is 37.60° C.

Hence, this is the required solution.


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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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4. Green Bay Packers: (-1,3)

5. San Franciso 49ers: (-4,-4)

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8. Dallas Cowboys: (4,-3)

9. Oakland Raiders: (-4,2)

10. Washington Redskins: (-3,-1)

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

مرحبا انا جديد انت ايضا

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Answer:

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Step-by-step explanation:

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https://brainly.com/question/26974513

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I'M GIVING BRAINLIEST
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Answer:

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Answers

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Answers

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Step-by-step explanation:

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Answers

Turn the mixed numbers into improper fractions:
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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

1- [tex]\frac{1}{2}[/tex]

2- 1

3- -2

Step-by-step explanation:

1-

Add the numbers : [tex]\frac{5}{10}[/tex]

Reduce the fraction with 5 : [tex]\frac{1}{2}[/tex]

Solution : [tex]\frac{1}{2}[/tex]

2-

Calculate the difference: [tex]\frac{-3}{-3}[/tex]

Divide: 1

Solution: 1

3-

Subtract the numbers: [tex]\frac{6}{-3}[/tex]

Reduce the fraction : -2

Solution: -2

Answer:

1. 1/2 or (2,1)

2. 1 or (-3,-3)

3. -2/1 or (-3,6)

Step-by-step explanation:

1. 2-(-3) = 2 + 3 =5

   6-(-4)= 6 +  4= 10

so 1/2 or (2,1)

2. 1-4 = 1 + (-4) = -3

  -2-1 = -2 + (-1)= -3

so 1 or (-3,-3)

3.  12-6 = 12 + (-6) = 6

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Simplify.

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If you would please

Answers

Answer:

6.75

Step-by-step explanation:

You can use the calculator or scrap paper, which ever one is easier for you.

Write an equation of the line passing through the point (4, -2) that is parallel to the line - 3x – 4y = 5.

Answers

Answer:

Step-by-step explanation:

Let's solve for x.

−3x−4y=5

Step 1: Add 4y to both sides.

−3x−4y+4y=5+4y

−3x=4y+5

Step 2: Divide both sides by -3.

−3x

−3

=

4y+5

−3

x=

−4

3

y+

−5

3

Answer:

x=

−4

3

y+

−5

3

I think the answer would be ———— y + 2 = - 3/4 ( x - 4 ) .

So, the line is parallel to - 3x - 4y = 5 and the line passes through the point (4, -2).

So, what I did was I pulled up a graphing site on my Chromebook called DESMOS, maybe you could use this in the future to help you out a little bit.

I then graphed the line of - 3x - 4y = 5 or you could simplify it to y = -3/4x + 5/4 .

The slope of the line is 3/4 . You can find this by taking the points (-15, 10) and (5, -5) and doing this...

m = y2 - y1 divided by x2 - x1 which would look like -5 - 10 divided by 5 - -15 which would simplify to -15 over 20 which would get you a slope of -3/4.

Then you take the formula y - y1 = m( x - x1) and substitute in your variables.

It should look something like this y + 2 = - 3/4 ( x - 4) .

This answer is parallel to -3x - 4y = 5.

I’m sorry, I’m not very good at explaining, but I hope this helps you out.
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