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Tasya
1 month ago
8

An element with mass 570 grams decays by 26.9% per minute. How much of the element is remaining after 14 minutes, to the nearest

10th of a gram?
Mathematics
2 answers:
Svet_ta [12.7K]1 month ago
8 0

Respuesta:

la cantidad de elemento restante después de 14 minutos = 7.091 g =~ 10 g

Explicación paso a paso:

Después de cada minuto, la cantidad que queda será

(100 - 26.9) % es decir, 73.1 %

lo que equivale a 0.731 veces la cantidad inicial.

Si el tiempo transcurrido se representa como t, la función f(t) indica la masa del elemento restante, nuestra ecuación será

f(t) = 570(0.731) ^ t

t= 14 minutos

f(14) = 570 (0.731) ^ 14

= 7.091 g =~ 10 g

AnnZ [12.3K]1 month ago
5 0

Respuesta:

7.1

Explicación paso a paso:

Funciones Exponenciales:

y=ab^x

y=ab  

x

 

a=\text{valor inicial = }570

a=valor inicial = 570

r=\text{tasa = }26.9\% = 0.269

r=tasa = 26.9%=0.269

\text{Decaimiento Exponencial:

Decaimiento Exponencial:

b=1-r=1-0.269=0.731

b=1−r=1−0.269=0.731

\text{Escribe la Función Exponencial:}

Escribe la Función Exponencial:

y=570(0.731)^x

y=570(0.731)  

x

 

Unificando todo

\text{Sustituye el tiempo por x:}

Sustituye el tiempo por x:

y=570(0.731)^{14}

y=570(0.731)  

14

 

y= 7.091174

y=7.091174

Evaluar

y\approx 7.1

y≈7.1

redondear

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Answer:

60.36 steps West from center

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Step-by-step explanation:

Refer to the attached

Musah's starting point and movement are depicted in the image.

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Note: According to the Pythagorean theorem, a right triangle at 45° with hypotenuse 'a' will have legs equal to a/√2.

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Step-by-step explanation:

Considerando la ecuación dada (\sqrt[3]{128} )^{x}\\

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Answer with explanation:

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Expressing this situation as an equation:

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