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3 years ago

What is .10316455696 in scientific notation?

1 answer:

4 0

To write a number into the scientific notation, we need to move the decimal point of the number to the right if the decimal point is before the value or left up if the point is after the the last number of the value. We need to count how many places we moved the point. Then, we write the value after moving and multiply this by 10 to the power of the number you moved the decimal point. If you moved it to the right, then the power would be a negative value. If moved to the left, then the power is positive. We do as follows:

.10316455696
1.0316455696 x 10^-1 = 1.03 x10^-1

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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

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

5 0

3 years ago

Which equation is the inverse of y=2x^2-8

shusha [124]

Step-by-step explanation:

In order to get the inverse of equation, we will interchange the variables and solve for x and y as follows.

$y = 2x^{2} - 8$

whereas, $y + 8 = 2x^{2}$

or x = $\sqrt{\frac{y+8}{2}}$

Now, on interchanging the variable we will get the equation as follows.

$x = 2y^{2} - 8$

$x + 8 = 2y^{2}$

y = $\sqrt{\frac{x+8}{2}}$

4 0

3 years ago

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What is the probability that two people in a class of 32 will have the same birthday?

mamaluj [8]

2/32 - 1/16 this is the probability (in fractions)

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4 years ago

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Can someone please help! i have no clue what im doing

gulaghasi [49]

g(x) = -3x - 8

g(x) = 10

⇒ -3x - 8 = 10

⇒ -3x = 18

⇒ x= -6

g(-6) = 10 <==== answer is -6

7 0

3 years ago

Decide if the following is a true or false statement - explain how you know (Explain in words please).

Westkost [7]

Answer:

it's negative and positive and negative + positive is -ive or +ive but in this case they are in equal distance from the number line which makes the answer zero

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3 years ago

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