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2 years ago

I don't know how to solve this equation. Help please. 8!-3!(5!)

1 answer:

3 0

The answer is 39600
Use calculator to evaluate it
8!-3!(5!) = 39600
Or
8!=1×2×3×4×5×6×7×8
3!=1×2×3
5!=1×2×3×4×5
Solve it this way by replacing 8!, 3! and 5!

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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

[Annie: 4 (x+y+z) Bradley: 4x+yz Carlos: 4xyz Zuri: 4x+4z+4y]

slega [8]

4x+4y+4z. I was taught to take out what was in each term, in this problem that would be 4: 4(X+y+z). Meaning A) Annie did the problem right :) I hope this helps!

8 0

3 years ago

Read 2 more answers

Twenty times one hundred and one (20 x 101)

Dmitrij [34]

Answer:

2020

Step-by-step explanation:

2020

4 0

2 years ago

a dance team has 80 dancers.The ratio of seventh-grade dancers to all dancers is 5:16.Find the number of seventh-grade dancers o

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

Each of the 16 "ratio units" representing all 80 dancers must stand for ...

(80 dancers)/(16) = 5 dancers

Then 5 "ratio units" representing seventh-grade dancers will stand for ...

5 × 5 dancers = 25 dancers

___

Another way to figure this is to write the proportion ...

(seventh-grade dancers)/(all dancers) = 5/16

seventh-grade dancers = (all dancers)×(5/16) = 80×5/16

seventh-grade dancers = 25

5 0

2 years ago

Please help im very stuck

liraira [26]

Answer:

The answer is D!!!

Step-by-step explanation:

In the attachment!

I plugged in that equation into a graphing calculator and got this....

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Hope this helps!

6 0

2 years ago