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By our standards, Xenia-Lepton aliens are huge, strange creatures and their reproductive method is fascinating: while...

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Advance Math

By our standards, Xenia-Lepton aliens are huge, strangecreatures and their reproductive method is fascinating: while underthe influence of a massive gravitational field, a matureXenia-Lepton sheds several billion sub-atomic particles. Theseparticles combine to form a seed which, if viable, grows rapidly bydirect conversion of dark energy to matter. The rate of growth isdirectly proportional to how much the juvenile has yet to growbefore reaching the height of a Xenia-Lepton adult. All adultXenia-Leptons have exactly the same height, which is 98m. Thecoefficient of proportionality for the growth rate has beendetermined to be 0.046 . 1) Determine the height of a Xenia-Leptonalien that is 42 years old. 2) When a Xenia-Lepton reaches exactly99.0% of the adult height, they change colour from bright, shininggold to pitch black. At what age does this occur? Provide bothanswers with TWO decimal places, using the normal convention. Padwith zeros if necessary. Height at 42 years (m) = Age atcolour-change (years) =

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