Ask question

Ask question

All categories

2 years ago

15

Lori is running in a marathon, which is 26.2 miles long. So far, she has run one-tenth of the marathon. How far has Lori run

1 answer:

Mila [183]2 years ago

4 0

Answer:

lori has run 2.62 miles

Step-by-step explanation:

Do 26.2/10

You might be interested in

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 volume of the cylinder?<br><br> Radius:3m<br><br> Height:17m

valentinak56 [21]

Answer:

480.66 m^3

Step-by-step explanation:

The formula for volume of a cylinder is πr^2h. when you input these values and solve for π you get π3^2(17) or approximately 480.66 m^3

Please mark as brainliest :)

5 0

3 years ago

PLEASE HELP ME GUYSS!!!

Assoli18 [71]

Answer:

.......................................

3 0

3 years ago

james is stocking shelves with notebooks. if he has 5 different notebooks, in how many ways can he arrange them on a shelf?

nadya68 [22]

Answer: 120

Step-by-step explanation: I got it right, hope this helps ✨

6 0

3 years ago

Read 2 more answers

Mr. McLaughlin was setting up for parent teacher meetings in the gym. The door was 42 inches wide and 84 inches tall. He needed

saul85 [17]

The table would fit because if he rolled the table in which sideways it would fit since its smaller than the door

5 0

3 years ago