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Category: Algebra

The-diameter-of-the-wheel-of-a-car-is-36-cm-how-many-revolutions-correct-to-3-significant-figure-will-it-make-to-cover-a-distance-of-1-05km-take-pi-22-7-

Question Number 7902 by tawakalitu last updated on 24/Sep/16 $${The}\:{diameter}\:{of}\:{the}\:{wheel}\:{of}\:{a}\:{car}\:{is}\:\mathrm{36}\:{cm}.\: \\ $$$${how}\:{many}\:{revolutions}\:{correct}\:{to}\:\mathrm{3}\:{significant} \\ $$$${figure}\:,\:{will}\:{it}\:{make}\:{to}\:{cover}\:{a}\:{distance}\:{of}\:\mathrm{1}.\mathrm{05}{km} \\ $$$${take}\:\pi\:=\:\frac{\mathrm{22}}{\mathrm{7}} \\ $$ Answered by sandy_suhendra last updated on 24/Sep/16…

1-4-z-1-z-dz-

Question Number 138916 by mathsuji last updated on 20/Apr/21 $$\underset{\:\mathrm{1}} {\overset{\:\mathrm{4}} {\int}}\:\sqrt{\frac{\sqrt{{z}}−\mathrm{1}}{\:\sqrt{{z}}}}\:{dz}\:=? \\ $$ Answered by bramlexs22 last updated on 20/Apr/21 $$\sqrt{\frac{\sqrt{\mathrm{z}}−\mathrm{1}}{\:\sqrt{\mathrm{z}}}}\:=\:\mathrm{r}\:;\:\frac{\sqrt{\mathrm{z}}\:−\mathrm{1}}{\:\sqrt{\mathrm{z}}}\:=\:\mathrm{r}^{\mathrm{2}} \rightarrow\begin{cases}{\mathrm{z}=\mathrm{1}\rightarrow\mathrm{r}=\mathrm{0}}\\{\mathrm{z}=\mathrm{4}\rightarrow\mathrm{r}=\sqrt{\frac{\mathrm{1}}{\mathrm{2}}}}\end{cases} \\ $$$$\Rightarrow\mathrm{r}^{\mathrm{2}}…

Hello-i-shar-withe-you-nice-problem-show-that-k-N-n-N-such-that-k-j-1-n-1-j-lt-k-1-have-a-very-Nice-day-

Question Number 73378 by mind is power last updated on 10/Nov/19 $${Hello}\:,{i}\:{shar}\:{withe}\:{you}\:{nice}\:{problem}\: \\ $$$${show}\:{that}\:\forall{k}\in\mathbb{N}^{\ast} \:\exists{n}\in\mathbb{N}\:{such}\:{that} \\ $$$${k}\leqslant\underset{{j}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{1}}{{j}}<{k}+\mathrm{1} \\ $$$${have}\:{a}\:{very}\:{Nice}\:{day} \\ $$$$ \\ $$…