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Question Number 187948    Answers: 1   Comments: 0

Given a set H={1,2,3,...,300. We will a create a subset of H consisting of three elements. If the sum of the three elements is divisible by 3 then the number of subsets that canbe made is x. Find the remainder if x is divided by 100000

$$ \\ $$$$\mathrm{Given}\:\mathrm{a}\:\mathrm{set}\:\mathrm{H}=\left\{\mathrm{1},\mathrm{2},\mathrm{3},...,\mathrm{300}.\:\mathrm{We}\:\mathrm{will}\:\mathrm{a}\right. \\ $$$$\mathrm{cre}{a}\mathrm{te}\:\mathrm{a}\:\mathrm{subset}\:\mathrm{of}\:\mathrm{H}\:\mathrm{consisting}\:\mathrm{of}\: \\ $$$$\mathrm{thre}{e}\:\mathrm{elements}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{thr}{e}\mathrm{e}\:\mathrm{elements}\:\mathrm{is}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{3}\:\: \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{subsets}\:\mathrm{that}\: \\ $$$$\mathrm{canbe}\:\mathrm{made}\:\mathrm{is}\:\mathrm{x}.\:\mathrm{Find}\:\mathrm{the} \\ $$$$\mathrm{remaind}{e}\mathrm{r}\:\mathrm{if}\:\mathrm{x}\:\mathrm{is}\:\mathrm{divided}\:\mathrm{by}\:\mathrm{100000} \\ $$

Question Number 187947    Answers: 1   Comments: 0

Question Number 187946    Answers: 1   Comments: 0

Question Number 187844    Answers: 0   Comments: 0

Question Number 187837    Answers: 0   Comments: 0

Question Number 187835    Answers: 5   Comments: 1

Question Number 187830    Answers: 1   Comments: 1

Question Number 187953    Answers: 2   Comments: 0

Question Number 187951    Answers: 3   Comments: 0

please help me to solve 6x^2 +x−2=0

$${please}\:{help}\:{me}\:{to}\:{solve} \\ $$$$\mathrm{6}{x}^{\mathrm{2}} +{x}−\mathrm{2}=\mathrm{0} \\ $$

Question Number 187811    Answers: 1   Comments: 0

Question Number 187810    Answers: 1   Comments: 2

Question Number 187828    Answers: 1   Comments: 0

Question Number 187827    Answers: 2   Comments: 0

Question Number 187826    Answers: 0   Comments: 0

Question Number 187819    Answers: 1   Comments: 0

Question Number 187818    Answers: 1   Comments: 0

1. lim_(x→0) (√x)=? 2. lim_(x→2) (√(x−2))=? solution please

$$\mathrm{1}.\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\sqrt{\mathrm{x}}=? \\ $$$$\mathrm{2}.\:\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\sqrt{\mathrm{x}−\mathrm{2}}=? \\ $$$$\mathrm{solution}\:\mathrm{please} \\ $$

Question Number 187817    Answers: 2   Comments: 0

Question Number 187808    Answers: 1   Comments: 0

Question Number 188234    Answers: 0   Comments: 0

Question Number 187804    Answers: 0   Comments: 0

Question Number 187790    Answers: 2   Comments: 0

Question Number 187789    Answers: 1   Comments: 0

Question Number 187780    Answers: 1   Comments: 0

solve ⌊ (1/(4 )) + 2^( x) ⌋ + ⌊ (1/2) + 2^( x+1) ⌋=1

$$ \\ $$$$\:\:{solve} \\ $$$$\:\:\:\:\lfloor\:\:\frac{\mathrm{1}}{\mathrm{4}\:}\:+\:\mathrm{2}^{\:{x}} \:\rfloor\:+\:\lfloor\:\frac{\mathrm{1}}{\mathrm{2}}\:+\:\mathrm{2}^{\:{x}+\mathrm{1}} \:\rfloor=\mathrm{1} \\ $$$$ \\ $$

Question Number 187776    Answers: 2   Comments: 0

Question Number 187774    Answers: 2   Comments: 0

Question Number 187765    Answers: 3   Comments: 0

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