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.


Related Questions

Which property is used in the first step to solve this equation?

4 (x minus 6) = 5. 4 x minus 24 = 5. 4 x = 29. x = StartFraction 29 Over 4 EndFraction
addition property of equality
distributive property
division property of equality
commutative property

Answers

Answer:

distributive property

Answer:

distributive

Step-by-step explanation:

whats -5 5/8 divided by -4 7/12 as a fraction?

Answers

Turn the mixed numbers into improper fractions:
-5 5/8 = - 45/8
-4 7/12 = - 55/12

Remember, when you divide by a fraction, you take its reciprocal and multiply it:
(-48/8) / (-55/12) = (-48/8) x (-12/55)

Simplify the fraction:
72/55

I think this is the answer.

Q is the midpoint for the points S(11, -6) and T(-1, 10). Find the length of segment QT.
QT=

Answers

Answer:

10

Step-by-step explanation:

QT=ST/2=√(12^2+16^2)/2=10

Stephen has a dog that weigths 5 times as much as lan's dog.The total weigths of both dogs is 72 pounds.How much does Stephens dog weigths?

Answers

Answer: Stephens dog weighs 60 pounds

Step-by-step explanation:

Please help, I’ll give thanks and brainliest.

Answers

Answer:

Upper answer is right......

i could use some help on this. thanks

Answers

Answer: is B

Step-by-step explanation:

Answer:

1 to 1?

Step-by-step explanation:


Write 9 x 10^-2 in standard notation.

Answers

Hello! Your answer is shown below,

= 9 × 10-₂

= 9e-2

(scientific e notation)

= 90 × 10-₃

(engineering notation)

(thousandth; prefix milli- (m))

= 0.09

(real number)

What is the volume of the prism below?
Aw
2
23
units
$3
3. units
5 units 3
A units 3

Answers

Answer:

V = 3.5 m3

Step-by-step explanation:

length l = 1 m

width w = 2 m

height h = 1.75 m

volume V = 3.5 m3

at 2 a m, the temperature was -6C An hour later, the temperature had decreased by 8C what was in the new temperature

Answers

Answer:

2c

Step-by-step explanation:

مرحبا انا جديد انت ايضا

I'M GIVING BRAINLIEST
I just need help with the equation, you don't have to solve it
it needs to be an inequality
if you don't know what an inequality look at the other picture below

Answers

Answer: i think that the equation is 6

Step-by-step explanation:

what number is it on for the answer?

Answers

What do you mean? I don’t have a source to go by.

Answer:

um i cant answer this cuz there no question here

can i get some help with geometry​

Answers

Answer:

first you need to make that into an equation here i think your equation that will help you on that question is 46°+63°=X

Step-by-step explanation:

K-is (4°k+5°y)+(4°k+10°y)=118°

and then what ever you get out of the K's and Y's you will divide that number by 118 and that is the value of K

and this is my opinion

the ratio as a fraction in simplest form. 5 meters : 20 meters

Answers

Answer:

5/20 but simplified makes it 1/4 this means it is in simplest form so ur answer is 1/4

Step-by-step explanation:

pls mark brainiest

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.

Solve the right triangle shown in the figure. (Round your answers to two decimal places.)

Answers

Answer:

Step-by-step explanation:

(3). cos A = [tex]\frac{b}{c}[/tex]

cos A = [tex]\frac{1.77}{17.7}[/tex] = 0.1 ⇒ A ≈ 84.26°

B ≈ 5.74°

C = 90°

a ≈ 17.61

(4). cos 16° = [tex]\frac{79}{x}[/tex] ⇒ x ≈ 82.18 ≈ 82.2 ≈ 82

2-5/6x=-5

what is x
pls show me how to solve it

Answers

x=8.4 work is in the picture box.

—6х + 5 = 1
6х +4y = -10

Answers

Answer:

Step-by-step explanation:

-6x+5=1

-5  -5

_____

-6x=-4

÷-6  ÷-6

_________-

x=4/6

Hope this helps :3

Answer:

i.) 2/3

Step-by-step explanation:

-6x+5=1

move constant to the right and change its sign.

= -6x = 1-5

calculate

= -6x = -4

divide both sides of the equation by -6

= -6x/6 = -4/-6

=2/3.

I was able to do only the first one.

But still reward me by giving me the brainliest please.

Who know how to do this 100% smart

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

    2-5 = 2 + (-5) = -3

so  -2/1 or (-3,6)

-6 = 2/3r solve for r

Answers

r=-9


explanation: because

Answer:

r=9

Step-by-step explanation:

Help me please!! I can’t figure this out...

Answers

Answer:

-2

Step-by-step explanation:

-2-4/3-0=-2

you basically take the y value of the first point subtract it from the y value of the 2nd point. you do the same for the x values

Answer:

-2

Step-by-step explanation:

You can use the equation rise over run, which is basically y2-y1 over x2-x1

Y2 is -2 and y4 is 4, x2 is 3  x1 is 0

-2-4 over 3-0=-6/3=-2

What is the answer to answer to 7m-3m-6<6?

Answers

Answer:

m<3

Step-by-step explanation:

This the answer to the equation.

Simplify.

5+27÷36+1
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.

There is laundry detergent for $6.90 for 128 oz and detergent for $5.50 for 96 oz.
SHOW MATHEMATICAL WORK PLEASE I NEED HELP​

Answers

Answer: The detergent for $5.50 for 96 oz is better.

Step-by-step explanation:

128 ÷ $6.90 ≈ 18.55

96 ÷ $5.50 ≈ 17.45

(WILL GIVE BRAINLIEST TO RIGHT ANSWER) a container holding water is 3/4 full. after pouring out 8 ounces it is half full. How many ounces can it hold? x = # ounces container can hold

Answers

it can hold 32 ounces

Answer:

If x is the number of ounces the container can hold then x = 32

Step-by-step explanation:

The container can hold 32 ounces because if it was 3/4 full and then you poured out 8 ounces then that means there was 2/4 remaining.

Hope this helps!!

The cost of 2 cups of strawberries is $6. Write an equation for the relationship between the cost and cups os strawberries

Answers

Answer:One equation is x=6/2

Hope this helps

Answer:

the strawberrys are worth $3 per cup.

Step-by-step explanation:

s= $6

A bus travels at a speed of 40 miles per hour and reaches Hogville in 40 minutes. If a cab takes 35 minutes to reach the same spot, determine the speed at which it traveled.

Answers

Answer:

45.7miles per hour

Step-by-step explanation:

40mins = 2/3 hour

the bus travelled (2/3 x 40) miles = 80/3 miles

the cab took 35 mins (which is 7/12 hour) so it's speed is (80/3)/(7/12) miles/hour = 45.714 miles/hour (5 s.f.)

The ratio of Braydon's number of laps he ran to the time he ran is 6:2. The ratio of Monique's number of laps she ran to the time she ran is 104. Explain why these ratios are not in a proportional relationship.​

Answers

Answer:

They are not in a proportional relationship because Monique's number and time isnt a proportion. Instead it is a whole number. Like Braydon's his is 6:2 that is the correct way to write it.

Step-by-step explanation:

The ratio is not proportion.

What is ratio and proportion?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given:

The ratio of Braydon's number of laps he ran to the time he ran is 6:2.

The ratio of Monique's number of laps she ran to the time she ran is 10:4.

The simplest for Braydon is = 6/2 = 3/1

and, the simplest form for Monique = 10/4 = 5/2

As, 3/1 ≠ 5/2

So, the ratio is not proportion.

Learn more about proportion here:

https://brainly.com/question/26974513

#SPJ2

I will give brainliest and give 17 points please help!!

Answers

Answer:

1. New England Patriots: (3,-2)

2. Miami Dolphins: (-2,1)

3. Denver Brancos: (4,3)

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

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

6. Pittsburg Steelers: (2,2)

7. Baltimore Ravens: (3,1)

8. Dallas Cowboys: (4,-3)

9. Oakland Raiders: (-4,2)

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

If I am adding one positive number and one negative number, will the answer be positive or negative? What does it depend on?

Answers

It depends on which number has the greatest absolute value.

Think about it as money

If you owe me $10, this is shown as -10

Now  if I give you back 2 dollars  (+2), How much money do I still owe you.

The equation is -10+2

I still owe you 8 dollars which is portrayed as -8

Hope this helps :)

elena walked 12 miles. then she walked 0.25 that distance. how far did she walk all together

Answers

Answer:12.25

Step-by-step explanation:

First you have to figure out what .25 of 12 is. Then you add that to the 12 miles that she already walked. Hope this helps and have a nice day!!!
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