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3 years ago

HELPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

Debora [2.8K]3 years ago

8 0

Answer:

Step-by-step explanation:

Hunter-Best [27]3 years ago

5 0

the answer is A : m=-1

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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

A baseball player hit 57 home runs in a season. Of the 57 home runs, 15 went to right field, 20 went to right center field, 1

Sidana [21]

Place the part (amount going to the left field), over the total amount of homerun:

(a) 2/57 is your probability

(b) Divide 2/57

2/57 = 0.035, or 3.5%

YES, it is unusual for this player to hit a home run to left field, for he only has a 3.5% chance.

hope this helps

8 0

3 years ago

Jose's car can drive 12 miles on each gallon of gas. How many gallons will he need to drive 3,298 miles?✱

masya89 [10]

Answer:

274.84 gallons.

Step-by-step explanation:

Divide 3,298 by 12

3298/12 =274.84

6 0

3 years ago

Classifying the fruit in a basket as apple, orange, or banana, is an example of the ___________ level of measurement?

Serggg [28]

-ratio

-interval

-nominal

-ordinal

Answer:

Nominal

Step-by-step explanation:

-Ratio level of measurement means that you can build a fraction.

-interval level of measurement means that the distance that exists between values is important.

-Nominal means that the values are only named and there is no organization.

-Ordinal means that the values can be ordered by rank.

According to this, the answer is that classifying the fruit in a basket as apple, orange, or banana, is an example of the nominal level of measurement.

3 0

3 years ago

Read 2 more answers

Wich integer in the set has the greatest value (-144, -4, -3, -13)

castortr0y [4]

Answer:

the answer is -3

its just opposite to the normal when we check negative numbers.

7 0

3 years ago