3 years ago

What’s the answer to this

Mathematics

1 answer:

kupik [55]3 years ago

5 0

Answer:

-2,-3

Step-by-step explanation:

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Alvin's age is two times Elga's age. The sum of their ages is 84 . What is Elga's age?

son4ous [18]

Alvin's age + Elga's age = 84
2R + R = 84
3 R = 84
3/ 3 R = 84/ 3
R = 28
Elga's age is 28

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3 years ago

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Nataly [62]

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3 years ago

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The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which dec

elena-14-01-66 [18.8K]

If $S(t)$ is the amount of strontium-90 present in the area in year $t$ , and it decays at a rate of 2.5% per year, then

$S(t+1)=(1-0.025)S(t)=0.975S(t)$

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

$S(t)=0.975^ts$

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

$S(50)=0.975^{50}s\approx0.282s$

or about 28% of the original amount.

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

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

where $t$ is measured in years. We're told that 2.5% of the starting amount $s$ decays after 1 year, so that

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

Then after 50 years, we have

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

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3 years ago

What are the two representations of the conversion factor used to convert between inches and feet? Select all that apply.

ipn [44]

B and C are the same thing and they would be the two representations of the conversion that shows 12 inches is equivalent to 1 foot, so B and C are your answers

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3 years ago

The information shows the last 32 responses from a scale of 1 to 10 of customer service at a retail store.

Paha777 [63]

Answer:1

Step-by-step explanation:heheh

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2 years ago