3 years ago

When 23 is subtracted from the square root of three times a number, the result is 16. find the number?

1 answer:

8 0

(√3n)-23=16

Put all of the numbers without a variable on the right side of the equation
(√3n)=39

Simplify
1.732051n=39

Divide 39 by 1.732051
n=22.516658

Round
n=22.5

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A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactive

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Answer: 65.1 (mg)

Step-by-step explanation:

$y=190*e^{-a*t}\\\\Calculate\ a:\\\\t=33,y=95(mg)\\\\190*e^{-a*33}=95\\\\e^{-a*33}=0.5\\\\-a*33=ln(0.5)\\\\a=\dfrac{ln(\dfrac{1}{2}) }{-33} \\\\a=0,02100... \approx{0.021}\\\\If\ t=51\ h, y=190*e^{-0.02100*51}=65.09167...\approx{65.1}$