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3 years ago

Franklin is cutting a 7 1/2 foot rope into 5 equal pieces. how long will each piece of rope be?

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

5 0

Answer:

18 inches or 1 foot 6 inches/1 foot and a half

Step-by-step explanation:

one foot is 12 inches long so you take the number of feet given (7—we'll worry about the half later) and multiply by the number of inches that are in a foot (12)

7×12=84

then half a foot is 6 inches so 84+6=90 inches

then we take 90 and divide it by 5 (to get the length of one piece)

90/5=18 inches

you can keep it as 18 inches or convert it into feet which you subtract 12 from 18, and you have 6 inches left which is 1 foot and a half

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Newton's law of cooling is:

Mnenie [13.5K]

Answer:

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

$\frac{du}{dt}= -k (u-T)$

We can reorder the expression like this:

$\frac{du}{u-T} = -k dt$

We can use the substitution $w = u-T$ and $dw =du$ so then we have:

$\frac{dw}{w} =-k dt$

IF we integrate both sides we got:

$ln |w| = -kt +C$

If we apply exponential in both sides we got:

$w = e^{-kt} *e^c$

And if we replace w = u-T we got:

$u(t)= T + C_1 e^{-kt}$

We can also express the solution in the following terms:

$u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}$

For this case we know that $k =-0.15 hr$ since w ehave a cooloing, $T_{i}= 70 F, T_{amb}=11F$ , we have this model:

$u(t) = (70-11) e^{-0.15t} +11$

And if we want that the temperature would be 32F we can solve for t like this:

$32 = 59 e^{-0.15 t} +11$

$21=59 e^{-0.15 t}$

$\frac{21}{59} = e^{-0.15 t}$

If we apply natural logs on both sides we got:

$ln (\frac{21}{59}) =-0.15 t$

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

7 0

4 years ago

What is the area of the triangle? 13 10 12 units

Minchanka [31]

Answer:

I don't really know so sorry about that.

Step-by-step explanation:

3 0

3 years ago

Max has more than 5 carrots (number of carrots Max has = c)

Ainat [17]

Answer:

The right answer is five

4 0

2 years ago

Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square increasing when the area of the

abruzzese [7]

The area of the square is increasing at the rate of 36(3/2)^(1/2).btw,i forget to add ^2 to `cm`

3 0

3 years ago

What are the coordinates of the midpoint of the line segment with endpoints J (-6, 3) and K (4, -2)

GarryVolchara [31]

It’s C. (-1, 0.5). you add the x coordinates and divide by two and then add the y coordinates and divide by two.

6 0

3 years ago

Read 2 more answers