3 years ago

Which of the equations is proportional if y is a function of X?

Mathematics

1 answer:

Taya2010 [7]3 years ago

6 0

Answer:

y=4x

Step-by-step explanation:

it goes through 0,0 on my graph

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Children play a form of hopscotch called jumby. the pattern for the game is as given below.

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7t^2 + 21t

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The isotope known as carbon-14 is radioactive and will decay into the stable form nitrogen-14. As long as an organism is alive,

yan [13]

Answer:

The number of half lives in 14000 years is 2.4258.

Step-by-step explanation:

Initial amount of carbon-14 = $N_o$

Final amount of carbon-14= N

Half life of carbon-14 = $t_{1/2}=5770 year$

Decay constant = k = $\frac{0.693}{t_{1/2}}=\frac{0.693}{5770 year}$

Age of the sample = t = 14,000 years

$N=N_o\times e^{-kt}$

$N=N_o\times e^{-\frac{0.693}{5770 year}\times 14,000 yeras}$

$N=N_o\times 0.1861$

Formula used for number of half lives

$N=\frac{N_o}{2^n}$

where,

N= amount of reactant left after n-half lives

$N_o$ = Initial amount of the reactant

n = number of half lives

$N_o\times 0.1861=\frac{N_o}{2^n}$

$2^n=\frac{1}{0.1861}$

$2^n=5.3734$

Taking log both sides

$n\log 2=\log (5.3734)$

n = 2.4258

The number of half lives in 14000 years is 2.4258.

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