2 years ago

Helps plz and no links

Mathematics

2 answers:

Vaselesa [24]2 years ago

3 0

Answer:

1+2+3- -9+236359

Step-by-step explanation:

nignag [31]2 years ago

3 0

Answer:

y=-4x-7

Step-by-step explanation:

if you use the slope formula, y2-y1 over x2-x1 using any two points from the grid, you get a slope of -4.

if you use the slope intercept form, y=mx+b, and plug in y, m the slope, and x, you get -3=-4(-1)+b

if you solve that, you get -3=4+b

and if you isolate 4 by subtracing 4 from both sides, b=-7.

then you plug slope and y intercept into formula, and get y=-4x+b

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Let $S(0)=s$ be the starting amount immediately after the nuclear reactor explodes. Then

$S(t+1)=0.975S(t)=0.975^2S(t-1)=0.975^3S(t-2)=\cdots=0.975^{t+1}S(0)$

or simply

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So that after 50 years, the amount of strontium-90 that remains is approximately

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We can confirm this another way; recall the exponential decay formula,

$S(t)=se^{kt}$

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$0.975s=se^k\implies k=\ln0.975$

Then after 50 years, we have

$S(50)=se^{50k}\approx0.282s$

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