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Kruka [31]
3 years ago
6

For non zero X and Y if X + Y = 0 then​

Mathematics
1 answer:
S_A_V [24]3 years ago
7 0
Either X or Y is negative. One has to be
You might be interested in
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
Which
garik1379 [7]
B.

Because when doing the math, letter B fits the criteria of a quadratic equation. Which is ax^2 + bx + c = 0.

A is wrong because if we were to do the math, there would be no ax^2. The most important thing in a quadratic equation is the term ax^2, bx and c do not matter as much.

C is wrong because there cannot be a greater exponent than ^2.

D is wrong because of the same reason as letter a.
3 0
3 years ago
First person to answer correctly gets brainliest!!!!!
Damm [24]
N=2.2



Hope this helps! If you're satisfied with this answer.. Brainliest please.
5 0
3 years ago
If ⅙ of a roll of wallpaper covers ¼ of the wall. How many rolls of paper are needed to cover 4 walls?
AVprozaik [17]

Answer:

if 1/6 of a roll of paper covers 1/4 of a wall, this means that we will need 4/6 of a roll to cover a whole wall, now the question is asking how many rolls will we need to cover 4 walls, we already know that it takes 4/6 to fill one wall so if we add 4/6+4/6+4/6+4/6 we will get 16/6 or 2 4/6

we will need 16/6 or 2 4/6 of rolls of paper to cover 4 walls

5 0
2 years ago
Find the equation of the line passing through the point (-6,4) that is perpendicular to the line 5x 3y
elena55 [62]

Answer

y=−3/5x−23/5

given the slope m of a line then the slope of a line

perpendicular to it is

3 0
3 years ago
Read 2 more answers
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