Mathematics, 09.10.2019 04:50 ElegantEmerald
We did not find results for: a measure of malnutrition, called the pelidisi, varies directly as the cube root of a person's weight in grams and inversely as the person's sitting height in centimeters. a person with a pelidisi below 100 is considered to be undernourished, while a pelidisi greater than 100 indicates overfeeding. a person who weighs 48,820 g with a sitting height of 78.7 cm has a pelidisi of 100. find the pelidisi (to the nearest whole number) of a person whose weight is 54,688 g and whose sitting height is 72.6 cm. is this individual undernourished or overfed? the pelidsi is to the nearest integer as needed..
Answers: 1
![\bf \begin{cases} p=pedalisi\\ w=weight\\ s=\textit{sitting height} \end{cases}\quad \begin{array}{llll} %pelidisi, varies directly as the cube root of a person's weight in grams and inversely as the person's sitting height in centimeters. \textit{pelidisi varies directly}\\ \textit{as cube root of weight}\\ \textit{and inversely to }\\ \textit{sitting height} \end{array}\implies p=\cfrac{k\sqrt[3]{w}}{s}\\\\ -------------------------------](/tpl/images/0302/6081/38555.png)
![\bf \textit{we know that } \begin{cases} w=48,820\\ s=78.7\\ p=100 \end{cases}\implies 100=\cfrac{k\sqrt[3]{48820}}{78.7} \\\\\\ 100\cdot 78.7=k\sqrt[3]{48820}\implies \cfrac{7870}{\sqrt[3]{48820}}=k \\\\\\ thus\qquad \boxed{p=\cfrac{\frac{7870}{\sqrt[3]{48820}}\sqrt[3]{w}}{s}} \\\\\\ \textit{now, what is \underline{p} when } \begin{cases} w=54,688\\ s=72.6 \end{cases}?\implies p=\cfrac{\frac{7870}{\sqrt[3]{48820}}\sqrt[3]{54688}}{72.6}](/tpl/images/0302/6081/e15a0.png)
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