Write the sum in standard form <br><br> E) m(x) + n(x)

Modeling Radioactive Decay In Exercise, complete the table for each radioactive isotope.

Travka [436]

Answer :

The amount after 1000 years will be, 5.19 grams.

The amount after 10000 years will be, 0.105 grams.

Step-by-step explanation :

Half-life = 1599 years

First we have to calculate the rate constant, we use the formula :

$k=\frac{0.693}{t_{1/2}}$

$k=\frac{0.693}{1599\text{ years}}$

$k=4.33\times 10^{-4}\text{ years}^{-1}$

Now we have to calculate the amount after 1000 years.

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant = $4.33\times 10^{-4}\text{ years}^{-1}$

t = time passed by the sample = 1000 years

a = initial amount of the reactant = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

$1000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}$

$a-x=5.19g$

Thus, the amount after 1000 years will be, 5.19 grams.

Now we have to calculate the amount after 10000 years.

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant = $4.33\times 10^{-4}\text{ years}^{-1}$

t = time passed by the sample = 10000 years

a = initial amount of the reactant = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

$10000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}$

$a-x=0.105g$

Thus, the amount after 10000 years will be, 0.105 grams.

4 0

3 years ago

How do i turn 24% into a fraction

PolarNik [594]

You can remove the % sign if you divide the number by 100:

$\frac{24}{100}$

This is because % is defined as 1/100, and the name (per-cent) actually meant this originally!
we can also simplify it: let's divide it by 4:

$\frac{6}{25}$

7 0

3 years ago

Hello answer and I will give you brainliest:No cheating!

stich3 [128]

The answer is 58,875

6 0

2 years ago

What decimal is equivalent to 3%?

cupoosta [38]

The answer is d, have a good day

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3 years ago

Read 2 more answers

a sequence is defined by ths formula (n+1)=f(n)+3 the first term of the sequence is -4 what is the next term in the sequence

jenyasd209 [6]

How I understand from your writing next term is equal previous plus 3,
if 1st is -4, then next (second) should be -4+3= -1

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4 years ago

Write the sum in standard form E) m(x) + n(x)