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IrinaK [193]
3 years ago
5

A 10 2/3 -inch long pipe is cut into 8 equal length pieces. How long is each piece?

Mathematics
1 answer:
ch4aika [34]3 years ago
3 0

Answer:

Each peice is 1 1/3 (4/3) long.

Step by step explanation:

10 2/3 divided by 8

10 2/3 = 32/3

32/3 divided by 8 = 32/3 x 1/8

32 times 1 = 32, 3 times 8 = 24 =32/24

32/24 in simplest form is 4/3 (aka 1 1/3)

Hope this helped! :)

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The tiger population loses 3/5 of its size every 2.94 decades

<h3>Rate of change using differential calculus</h3>

The given equation is:

N(t)=710(\frac{8}{125} )^t

Find the derivative of the given function

\frac{dN}{dt} =710(0.064)^tln(0.064)\\\\\frac{dN}{dt} =-1951.7(0.064)^t

When the tiger loses 3/5 of its population

dN/dt = 3/5

Solve for t

\frac{3}{5} =-1951.7(0.064)^t\\\\-0.0003=(0.064)^t

Take the natural logarithm of both sides

ln(-0.0003)=t(ln0.064)\\\\-8.087=-2.75t\\\\t=\frac{-8.087}{-2.75} \\\\t=2.94

The tiger population loses 3/5 of its size every 2.94 decades

Learn more on rate of change using calculus here: brainly.com/question/96116

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