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3 years ago

What is the slope of a line that passes through (–8,–16) and (18,5)?

Mathematics

1 answer:

kap26 [50]3 years ago

8 0

slope=(-16-5)/(-8-18)=21/26

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Help on number 2 please?

frosja888 [35]

Answer:

They are vertically opposite angles.

Step-by-step explanation:

The two angles have one shred point and are therefore vertically opposite angles, which means that they are equally.

Have a nice day!!!!!!!!! :-)

KA

3 0

2 years ago

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

2 years ago

M26 is (2x - 5) and m_8 is (x + 5)º What is m 3? 12 9 3 4 56 78

Leto [7]

Answer:

Step-by-step explanation:

12 is the coefficient

3 0

2 years ago

What us 708,569 rounded to the ten thousands

leonid [27]

Hey! The Answer Is 08000. Hoped i Helped!Please Put Brianlest answerPlzzzzzzzz

3 0

2 years ago

Please help me guys this is due in 5 mins!

Delicious77 [7]

Answer:

Fraction: 1/2

Decimal: 0.5

Percent: 50%

Step-by-step explanation:

Half is shaded

7 0

2 years ago

Read 2 more answers