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3 years ago

Identify the polygon using as many names as possible

Mathematics

1 answer:

ollegr [7]3 years ago

6 0

A to line b
b to line c
c to line d
d to line e
e to line a

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At the beginning of an experiment, a scientist has 300 grams of radioactive goo. After 150 minutes, her sample has decayed to 37

monitta

Answer:

Half-life of the goo is 49.5 minutes

$G(t)= 300e^{-0.014t}$

191.7 grams of goo will remain after 32 minutes

Step-by-step explanation:

Let $M_0\,,\,M_f$ denotes initial and final mass.

$M_0=300\,\,grams\,,\,M_f=37.5\,\,grams$

According to exponential decay,

$\ln \left ( \frac{M_f}{M_0} \right )=-kt$

Here, t denotes time and k denotes decay constant.

$\ln \left ( \frac{M_f}{M_0} \right )=-kt\\\ln \left ( \frac{37.5}{300} \right )=-k(150)\\-2.079=-k(150)\\k=\frac{2.079}{150}=0.014$

So, half-life of the goo in minutes is calculated as follows:

$\ln \left ( \frac{50}{100} \right )=-kt\\\ln \left ( \frac{50}{100} \right )=-(0.014)t\\t=\frac{-0.693}{-0.014}=49.5\,\,minutes$

Half-life of the goo is 49.5 minutes

$\ln \left ( \frac{M_f}{M_0} \right )=-kt\Rightarrow M_f=M_0e^{-kt}$

So,

$G(t)= M_f=M_0e^{-kt}$

Put $M_0=300\,\,grams\,,\,k=0.014$

$G(t)= 300e^{-0.014t}$

Put t = 32 minutes

$G(32)= 300e^{-0.014(32)}=300e^{-0.448}=191.7\,\,grams$

7 0

3 years ago

What 1/3 X 1/6 in simplest form?

Stolb23 [73]

1/18 would be your answer because 3 * 6 = 18. so 18 is your denominator. 1 * 1 is still 1 so that would be your numerator. You cant simplify the numerator because it's a one and can't be simplified by any other number but 18 can be simplified but it wouldn't make sense to just simplify the denominator and not the numerator so It would stay as 1/18.

4 0

3 years ago

The perpendicular bisector or to the line segment with an points(-4,9) and (8,5). The equation of the line is

sergij07 [2.7K]

The equation of the line is x=5/8y

8 0

4 years ago

Carl buys songs to download them to his computer. He has 20 rock songs, 15 country songs, 10 world songs and 5 classical songs.

MissTica

<h2>Answer with explanation:</h2>

He has 20 rock songs, 15 country songs, 10 world songs and 5 classical songs.

There are 50 in total.