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Scorpion4ik [409]
3 years ago
15

91 more than the square of a number

Mathematics
1 answer:
abruzzese [7]3 years ago
5 0
91+ n squared (Squared mean to the power of 2)
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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}$$

3 0
2 years ago
[5x+6]*{(3%*5.0x)*5(7*8c)}
Diano4ka-milaya [45]

Answer:

210x²c+252xc

Step-by-step explanation:

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2 years ago
The large sample 98% confidence interval for the proportion of hotel reservations that are canceled on the intended arrival day
Digiron [165]

Answer:

27

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Last year at a certain high school, there were 100 boys on the honor roll and 60 girls on the honor roll. This year, the number
defon

Answer:

last year 100 boys and 60 girls, for a total of 160.

this year, 120 boys and 75 girls, for a total of 195.

35 more than 160 is a 21.8% increase

4 0
3 years ago
An egg was dropped from a 36 foot ladder and took 2.4 seconds to hit the ground. How many feet did the egg travel in 1.5 seconds
ruslelena [56]

Answer:

22,5 ft

Step-by-step explanation:

36÷2,4×1,5=22,5

6 0
3 years ago
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