3 years ago

By what least number should 648 be divided to get a perfect cube

Mathematics

1 answer:

mezya [45]3 years ago

6 0

Answer:

Step-by-step explanation:

a cube has six sides, so divide 648 by six

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The mass of a radioactive element at time x is given by the equation below, where c is the original mass and h is the half-life

krek1111 [17]

$\bf M(x)=c(0.5)^{\frac{x}{h}}\implies 10=36(0.5)^{\frac{x}{4.9}}\implies \cfrac{10}{36}=0.5^{\frac{x}{4.9}}
\\\\\\
\cfrac{5}{18}=0.5^{\frac{x}{4.9}}\implies log\left( \frac{5}{18} \right)=log\left( 0.5^{\frac{x}{4.9}} \right)
\\\\\\
log\left( \frac{5}{18} \right)={\frac{x}{4.9}}\cdot log\left( 0.5 \right)\implies 
\cfrac{4.9\cdot log\left( \frac{5}{18} \right)}{log(0.5)}=x$