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brilliants [131]
3 years ago
14

I need to get aleks done on june 3oth

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
4 0
Answer is 3.2 to your aleks
ser-zykov [4K]3 years ago
3 0

Answer:

3.2

Step-by-step explanation:

Since it is similar, we know that the sides are gonna be directly proportional so

QR (6.4) / BC (4) = scale factor of 1.6

1.6 x 2 = 3.2

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4 years ago
he radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the bones from a mastodon had lost
elena-s [515]

Answer:

The bones were 12,485 years old at the time they were​ discovered.

Step-by-step explanation:

Amount of the element:

The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:

A(t) = A(0)e^{-kt}

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The radioactive element​ carbon-14 has a​ half-life of 5750 years.

This means that A(5750) = 0.5A(0), and we use this to find k. So

A(t) = A(0)e^{-kt}

0.5A(0) = A(0)e^{-5750k}

e^{-5750k} = 0.5

\ln{e^{-5750k}} = \ln{0.5}

-5750k = \ln{0.5}

k = -\frac{\ln{0.5}}{5750}

k = 0.00012054733

So

A(t) = A(0)e^{-0.00012054733t}

A scientist determined that the bones from a mastodon had lost 77.8 ​% of their​ carbon-14. How old were the bones at the time they were​ discovered?

Had 100 - 77.8 = 22.2% remaining, so this is t for which:

A(t) = 0.222A(0)

Then

0.222A(0) = A(0)e^{-0.00012054733t}

e^{-0.00012054733t} = 0.222

\ln{e^{-0.00012054733t}} = \ln{0.222}

-0.00012054733t = \ln{0.222}

t = -\frac{\ln{0.222}}{0.00012054733}

t = 12485

The bones were 12,485 years old at the time they were​ discovered.

8 0
3 years ago
Paula is given a litre bottle of water during her fitness Assessment at the gym .she drinks 375 millilitres of water .how much i
kaheart [24]

Since 1 litre is 1000 millilitres, we can convert it to 1000 millilitres. So, we can subtract 375 millilitres from 1000 millilitres. Which will give us the answer of 625 millilitres.

7 0
3 years ago
If f(x)=x^2 what is g(x)<br> A. g(x)=1/9x^2<br> B. g(x)=(1/3x)^2<br> C. g(x)=3x^2<br> D. g(x)=1/3x^2
Pavlova-9 [17]

Answer:

the answer is B

Step-by-step explanation:

3 0
3 years ago
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