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Rina8888 [55]
2 years ago
7

3abc What is the coeficient of c?

Mathematics
1 answer:
romanna [79]2 years ago
4 0

Answer:

3

Step-by-step explanation:

3 is the coefficient of c as it is a constant, whereas a and b are variables, subject to change.

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The liquid base of an ice cream has an initial temperature of 86°C before it is placed in a freezer with a constant temperature
Karolina [17]

The temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

From Newton's law of cooling, we have that

T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt}

Where

(t) = \ time

T_{(t)} = \ the \ temperature \ of \ the \ body \ at \ time \ (t)

T_{s} = Surrounding \ temperature

T_{0} = Initial \ temperature \ of \ the \ body

k = constant

From the question,

T_{0} = 86 ^{o}C

T_{s} = -20 ^{o}C

∴ T_{0} - T_{s} = 86^{o}C - -20^{o}C = 86^{o}C +20^{o}C

T_{0} - T_{s} = 106^{o} C

Therefore, the equation T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt} becomes

T_{(t)}=-20+106 e^{kt}

Also, from the question

After 1 hour, the temperature of the ice-cream base has decreased to 58°C.

That is,

At time t = 1 \ hour, T_{(t)} = 58^{o}C

Then, we can write that

T_{(1)}=58 = -20+106 e^{k(1)}

Then, we get

58 = -20+106 e^{k(1)}

Now, solve for k

First collect like terms

58 +20 = 106 e^{k}

78 =106 e^{k}

Then,

e^{k} = \frac{78}{106}

e^{k} = 0.735849

Now, take the natural log of both sides

ln(e^{k}) =ln( 0.735849)

k = -0.30673

This is the value of the constant k

Now, for the temperature of the ice cream 2 hours after it was placed in the freezer, that is, at t = 2 \ hours

From

T_{(t)}=-20+106 e^{kt}

Then

T_{(2)}=-20+106 e^{(-0.30673 \times 2)}

T_{(2)}=-20+106 e^{-0.61346}

T_{(2)}=-20+106\times 0.5414741237

T_{(2)}=-20+57.396257

T_{(2)}=37.396257 \ ^{o}C

T_{(2)} \approxeq  37.40 \ ^{o}C

Hence, the temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

Learn more here: brainly.com/question/11689670

6 0
2 years ago
Read 2 more answers
What is the slope line ?
sweet-ann [11.9K]

Answer:

-3.....

have a nice day

3 0
2 years ago
Read 2 more answers
Help! Please show work. -14-12x=-3(4x-8)
defon

Answer:

no solution

Step-by-step explanion

there is no solution since the x's cancel out

3 0
3 years ago
What is 37/12 as a mixed number?
mixer [17]
1 and one - twelfth
because 12gies 3 times in 37
4 0
2 years ago
Help pleaseeeeee!!!!!!!!!!!!!!!
diamong [38]

Answer:

2 meters

Step-by-step explanation:

We need to use trigonometry for this. The appropriate one would be tangent, which is (opposite side) divided by (adjacent side).

In this case, the opposite side of angle A is BC, which is 6 meters. The adjacent side of angle A is AB, which is the ground. Since we don't know its length, we call it x.

Now, we write:

tan(72) = 6/x

To solve, we just multiply both sides by tan(x) and x:

x = 6/[tan(72)] ≈ 1.95 meters ≈ 2 meters.

Thus, the answer is 2 meters.

Hope this helps!

4 0
3 years ago
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