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nirvana33 [79]
2 years ago
11

Enter the fraction in the simplest form. 33/44​

Mathematics
1 answer:
Afina-wow [57]2 years ago
3 0

Answer:

3/4

Step-by-step explanation:

→ 33/44

→ (33 ÷ 11)/(44 ÷ 11)

→ 3/4

So, the simplest term is 3/4.

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I WOULD APPRECIATE IT A LOT IF SOMEONE COULD ANSWER THESE PROBLEMS!!! THANK YOU IF YOU CAN!
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8 0
3 years ago
Carbon-14 is a radioactive isotope that has a half-life of 5,730 years. Approximately how many years will it take for carbon-14
PilotLPTM [1.2K]

Answer:

<em>Carbon-14 will take 19,035 years to decay to 10 percent.</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.

An exponential decay can be described by the following formula:

N(t)=N_{0}e^{-\lambda t}

Where:

No  = The quantity of the substance that will decay.

N(t) = The quantity that still remains and has not yet decayed after a time t

\lambda     = The decay constant.

One important parameter related to radioactive decay is the half-life:

\displaystyle t_{1/2}=\frac {\ln(2)}{\lambda }

If we know the value of the half-life, we can calculate the decay constant:

\displaystyle \lambda=\frac {\ln(2)}{ t_{1/2}}

Carbon-14 has a half-life of 5,730 years, thus:

\displaystyle \lambda=\frac {\ln(2)}{ 5,730}

\lambda=0.00012097

The equation of the remaining quantity of Carbon-14 is:

N(t)=N_{0}e^{-0.00012097\cdot t}

We need to calculate the time required for the original amout to reach 10%, thus N(t)=0.10No

0.10N_o=N_{0}e^{-0.00012097\cdot t}

Simplifying:

0.10=e^{-0.00012097\cdot t}

Taking logarithms:

ln 0.10=-0.00012097\cdot t

Solving for t:

\displaystyle t=\frac{log 0.10}{-0.00012097}

t\approx 19,035\ years

Carbon-14 will take 19,035 years to decay to 10 percent.

6 0
3 years ago
Read 2 more answers
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vladimir2022 [97]

This question is about compound interest, but since the interest is such a small number you can use what you know about simple interest to eliminate some answers.

You can immediately eliminate choice A as a clunker, since it is less than the original amount in the account.

Consider what the amount of interest would be if you make the rate much larger than the original rate, say 10%, or 0.1:

$6,500 × 0.1 = $650

If this amount were added to the original amount each year for two years, the total would be:

$6,500 + $650 + $650 = $6,500 + $1,300 = $7,800

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6 0
2 years ago
Read 2 more answers
Joan went to the bookstore. At
kiruha [24]

Answer:

\frac{1}{4} of the books in the book store are mystery fiction books.

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The fraction of the books at the  bookstore that are mystery fiction  books is \frac{1}{3}\times \frac{3}{4}x=\frac{1}{4}x.

Therefore \frac{1}{4} of the books in the bookstore are mystery fiction books.

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Angelina_Jolie [31]
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3 years ago
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