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3 years ago

25 POINTS!!!! AND BRAINLIEST!

1 answer:

3 0

It would mean for them to. Sooo like One of the basic forms they would use for the internet will help over however many people work there. If median and mode is 25 you would want to set the numbers together

.... hope this helps?

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If a substance decays at a rate of 25% every 10 years, how long will it take 512 grams of the substance to decay to 121.5 grams

Juliette [100K]

Answer:

It will take 50 years to decay from 512 grams to 121.5 grams.

Step-by-step explanation:

The decay formula :

$N=N_0e^{-\lambda t}$

where

N= amount of substance after t time

N₀= initial of substance

t= time.

A substance decays at a rate 25% every 10 years.

So, remaining amount of the substance is = (100%-25%)= 75%

$\frac{N}{N_0}=\frac{75\%}{100\%}=\frac{75}{100}=\frac34$ , t= 10

$N=N_0e^{-\lambda t}$

$\Rightarrow \frac {N}{N_0}=e^{-\lambda t}$

$\Rightarrow \frac34 =e^{-\lambda .10}$

Taking ln both sides

$\Rightarrow ln|\frac34| =ln|e^{-\lambda .10}|$

$\Rightarrow ln|\frac34|=-10\lambda$

$\Rightarrow \lambda=\frac{ ln|\frac34|}{-10}$

Now , N₀= 512 grams, N= 121.5 grams, t=?

$N=N_0e^{-\lambda t}$

$\therefore 121.5=512e^{-\frac{ln|\frac34|}{-10}.t}$

$\Rightarrow 121.5=512e^{\frac{ln|\frac34|}{10}.t}$

$\Rightarrow \frac{121.5}{512}=e^{\frac{ln|\frac34|}{10}.t}$

Taking ln both sides

$\Rightarrow ln|\frac{121.5}{512}|=ln|e^{\frac{ln|\frac34|}{10}.t}|$

$\Rightarrow ln|\frac{121.5}{512}|={\frac{ln|\frac34|}{10}.t}$

$\Rightarrow t=\frac{ln|\frac{121.5}{512}|}{\frac{ln|\frac34|}{10}}$

$\Rightarrow t=\frac{10.ln|\frac{121.5}{512}|}{{ln|\frac34|}}$

⇒t=50 years

It will take 50 years to decay from 512 grams to 121.5 grams.

8 0

3 years ago

Square root of 132 simplify ?

kvasek [131]

Answer: 2√33

Step-by-step explanation: First we will find all factors under the square root: 132 has the square factor of 4. Let's check this width √4*33=√132.

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3 years ago

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Rewrite using the power of the product property.<br><br>81x^4y^8

amm1812

81 is 3^4, so

$3^4 \cdot x^4 \cdot \left(y^2\right)^4 = \left(3 \cdot x \cdot y^2\right)^4 = \boxed{\left(3xy^2\right)^4}$

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2 years ago

Lisa can run a mile in 7 minutes. At the rate of speed, how long would it take her to run two kilometers explain pls!!

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If she ran 2 kilometers , isnt it 8 minutes ?

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3 years ago

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What is 0.03 in scientific notation

aliina [53]

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3 years ago