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Mathematics

2 answers:

My name is Ann [436]3 years ago

5 0

Answer:

3/4 and 6/8

Step-by-step explanation:

The ruler is split into 8 parts, and this point is 6/8 of the ruler, if you simplify that fraction you get 3/4.

sashaice [31]3 years ago

5 0

Answer:

3/4 and 12/16

Step-by-step explanation:

If you see there are 8 ticks. So it will go 1/8 to 8/8 or 1. Then you see the arrow is at 6/8. So you divide both by 2 to get 3/4 and multiply by 2 to get 12/16.

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The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?

adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)$

$\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}$

$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$