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BigorU [14]
3 years ago
11

How many 1/4s are in 25/4

Mathematics
1 answer:
Sveta_85 [38]3 years ago
6 0
\dfrac{25}{4}\div\dfrac{1}{4}=\dfrac{25}{4}\cdot4=\boxed{25}
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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
3 years ago
Read 2 more answers
If a coin is flipped and then a twenty-part spinner is spun, how many possible outcomes are in the sample space for the compound
evablogger [386]

Answer:

There are 40 outcomes in the sample space for the compound event.

Step-by-step explanation:

The total number of possible outcomes is equal to the product between the number of outcomes for each event.

The coin has 2 possible outcomes.

A twenty-part spinner has 20 possible outcomes (we assume that each part of the spinner corresponds to a unique outcome).

Then the total number of outcomes in the compound event is:

C = 2*20 = 40

There are 40 outcomes in the sample space for the compound event.

7 0
3 years ago
The tables shows the low temperature for several days. Which day was the coldest. Picture above
Trava [24]

Answer:

Monday

Step-by-step explanation:

3 0
3 years ago
Evaluate the expression. 9! − 5!
Minchanka [31]
! means factorial, if you did not already know. It means multiply together all the numbers leading up to that number. For example, 4! = 4x3x2x1 = 24
Evaluate means just solve it.
9! = 9x8x7x6x5x4x3x2x1 = 362880
5! = 5x4x3x2x1 = 120
362880 - 120 = 362760
There is your answer
5 0
4 years ago
Read 2 more answers
Help please!!!!!!!!!!
adell [148]

Answer:

1/2?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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