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AlgebraQuestion and Answers: Page 307

Question Number 58156 Answers: 1 Comments: 0

Jaiden buys 334 cupcakes.He got 14 more cupcakes.How many cupcakes did he got altogether?

$$\mathrm{Jaiden}\:\mathrm{buys}\:\mathrm{334}\:\mathrm{cupcakes}.\mathrm{He}\:\mathrm{got}\:\mathrm{14}\:\mathrm{more}\:\mathrm{cupcakes}.\mathrm{How}\:\mathrm{many}\:\mathrm{cupcakes}\:\mathrm{did}\:\mathrm{he}\:\mathrm{got}\:\mathrm{altogether}? \\ $$

Question Number 58154 Answers: 1 Comments: 0

A(1,1+i),B((√2)+i,2),C(1−3i,1−i) are given. find angle between: AB and AC .

Question Number 58153 Answers: 1 Comments: 0

arctan((√2)−i)=? [i=(√(−1))]

$$\boldsymbol{\mathrm{arctan}}\left(\sqrt{\mathrm{2}}−\boldsymbol{\mathrm{i}}\right)=?\:\:\:\:\:\:\:\:\:\:\left[\boldsymbol{\mathrm{i}}=\sqrt{−\mathrm{1}}\right] \\ $$

Question Number 58145 Answers: 1 Comments: 0

how to factorize a^3 b^2 +a^2 b^3

$${how}\:{to}\:{factorize} \\ $$$${a}^{\mathrm{3}} {b}^{\mathrm{2}} +{a}^{\mathrm{2}} {b}^{\mathrm{3}} \: \\ $$

Question Number 58135 Answers: 1 Comments: 0

Question Number 58092 Answers: 3 Comments: 0

6x^3 +5x^2 −6x−5=0

$$\mathrm{6}{x}^{\mathrm{3}} +\mathrm{5}{x}^{\mathrm{2}} −\mathrm{6}{x}−\mathrm{5}=\mathrm{0} \\ $$

Question Number 58084 Answers: 0 Comments: 3

Question Number 58077 Answers: 1 Comments: 0

(3/(10))×2

$$\frac{\mathrm{3}}{\mathrm{10}}×\mathrm{2} \\ $$

Question Number 58046 Answers: 2 Comments: 0

3x^4 −4x^3 −7x^2 −4x+5=0 x=?

$$\mathrm{3}\boldsymbol{\mathrm{x}}^{\mathrm{4}} −\mathrm{4}\boldsymbol{\mathrm{x}}^{\mathrm{3}} −\mathrm{7}\boldsymbol{\mathrm{x}}^{\mathrm{2}} −\mathrm{4}\boldsymbol{\mathrm{x}}+\mathrm{5}=\mathrm{0} \\ $$$$\boldsymbol{\mathrm{x}}=? \\ $$

Question Number 57988 Answers: 0 Comments: 5

list all subset of {2,4,6,7,8}

$${list}\:{all}\:{subset}\:{of}\: \\ $$$$\left\{\mathrm{2},\mathrm{4},\mathrm{6},\mathrm{7},\mathrm{8}\right\} \\ $$

Question Number 57984 Answers: 0 Comments: 0

Question Number 58045 Answers: 1 Comments: 0

(x+1)^4 <5x^3 +21x^2 +17x+61 find the root x?

$$\left(\boldsymbol{\mathrm{x}}+\mathrm{1}\right)^{\mathrm{4}} <\mathrm{5}\boldsymbol{\mathrm{x}}^{\mathrm{3}} +\mathrm{21}\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\mathrm{17}\boldsymbol{\mathrm{x}}+\mathrm{61} \\ $$$$\boldsymbol{\mathrm{find}}\:\:\boldsymbol{\mathrm{the}}\:\:\boldsymbol{\mathrm{root}}\:\:\:\boldsymbol{\mathrm{x}}? \\ $$

Question Number 57977 Answers: 0 Comments: 0

2[(4×5)−(4×3)]=2×[20−(4×3)]=2×[(20−12)]=2×8=16

$$\mathrm{2}\left[\left(\mathrm{4}×\mathrm{5}\right)−\left(\mathrm{4}×\mathrm{3}\right)\right]=\mathrm{2}×\left[\mathrm{20}−\left(\mathrm{4}×\mathrm{3}\right)\right]=\mathrm{2}×\left[\left(\mathrm{20}−\mathrm{12}\right)\right]=\mathrm{2}×\mathrm{8}=\mathrm{16} \\ $$

Question Number 57960 Answers: 1 Comments: 0

Find maximum n such that 12^n divides 100!.

$${Find}\:{maximum}\:{n}\:{such}\:{that}\:\mathrm{12}^{{n}} \:{divides} \\ $$$$\mathrm{100}!. \\ $$

Question Number 57955 Answers: 1 Comments: 1

Question Number 57947 Answers: 0 Comments: 0

let P(x)=(1+ix)^n −1−ni with x real and n integr natural 1) find the roots of P(x) 2) factorize P(x) inside C[x] 3) factorize P(x) inside R[x] 4) decompose the fraction F(x) =((P^((1)) (x))/(P(x))) inside C(x) P^((1)) is the derivative of P .

$${let}\:{P}\left({x}\right)=\left(\mathrm{1}+{ix}\right)^{{n}} −\mathrm{1}−{ni}\:\:\:\:{with}\:{x}\:{real}\:{and}\:{n}\:{integr}\:{natural} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{the}\:{roots}\:{of}\:{P}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{factorize}\:{P}\left({x}\right)\:{inside}\:{C}\left[{x}\right] \\ $$$$\left.\mathrm{3}\right)\:{factorize}\:{P}\left({x}\right)\:{inside}\:{R}\left[{x}\right] \\ $$$$\left.\mathrm{4}\right)\:{decompose}\:{the}\:{fraction}\:{F}\left({x}\right)\:=\frac{{P}^{\left(\mathrm{1}\right)} \left({x}\right)}{{P}\left({x}\right)}\:{inside}\:{C}\left({x}\right) \\ $$$${P}^{\left(\mathrm{1}\right)} \:{is}\:{the}\:{derivative}\:{of}\:{P}\:. \\ $$

Question Number 57946 Answers: 0 Comments: 0

Question Number 57932 Answers: 1 Comments: 0

7+g=24

$$\mathrm{7}+{g}=\mathrm{24} \\ $$$$ \\ $$

Question Number 57930 Answers: 1 Comments: 0

solve 2.3((2/(11))+3)

$$\mathrm{solve}\:\mathrm{2}.\mathrm{3}\left(\frac{\mathrm{2}}{\mathrm{11}}+\mathrm{3}\right) \\ $$

Question Number 57902 Answers: 1 Comments: 1

prove that the equation Z^n =1 have exacly n roots given by Z_k =e^(i((2kπ)/n)) k∈[[0,n−1]]

$${prove}\:{that}\:{the}\:{equation}\:{Z}^{{n}} =\mathrm{1}\:\:{have}\:{exacly}\:{n}\:{roots}\:\:{given}\:{by} \\ $$$${Z}_{{k}} ={e}^{{i}\frac{\mathrm{2}{k}\pi}{{n}}} \:\:\:\:{k}\in\left[\left[\mathrm{0},{n}−\mathrm{1}\right]\right] \\ $$

Question Number 57881 Answers: 0 Comments: 0

calculate(2/(13))×2(1/4)

$$\mathrm{calculate}\frac{\mathrm{2}}{\mathrm{13}}×\mathrm{2}\frac{\mathrm{1}}{\mathrm{4}} \\ $$

Question Number 57880 Answers: 0 Comments: 0

6×2

$$\mathrm{6}×\mathrm{2} \\ $$

Question Number 57818 Answers: 1 Comments: 0

Question Number 57791 Answers: 3 Comments: 0

If a + b + c = 1 a^2 + b^2 + c^2 = 2 a^3 + b^3 + c^3 = 3 then a^5 + b^5 + c^(5 ) = ?

$$\:\mathrm{If}\:\:\:\:\:\mathrm{a}\:+\:\mathrm{b}\:+\:\mathrm{c}\:\:=\:\:\mathrm{1}\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} \:+\:\mathrm{c}^{\mathrm{2}} \:\:=\:\:\mathrm{2} \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{a}^{\mathrm{3}} \:+\:\mathrm{b}^{\mathrm{3}} \:+\:\mathrm{c}^{\mathrm{3}} \:\:=\:\:\mathrm{3}\:\: \\ $$$$\mathrm{then}\:\:\:\:\:\:\mathrm{a}^{\mathrm{5}} \:+\:\mathrm{b}^{\mathrm{5}} \:+\:\mathrm{c}^{\mathrm{5}\:\:} =\:\:? \\ $$

Question Number 57635 Answers: 1 Comments: 2

Find the sum of the cubes of first n even number, and first n odd number.

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cubes}\:\mathrm{of}\:\mathrm{first}\:\mathrm{n}\:\mathrm{even}\:\mathrm{number},\:\:\mathrm{and} \\ $$$$\mathrm{first}\:\mathrm{n}\:\mathrm{odd}\:\mathrm{number}. \\ $$

Question Number 57585 Answers: 2 Comments: 0

knowing that x+y=1. what is the result of (y/x)+(x/y)

$${knowing}\:{that}\:{x}+{y}=\mathrm{1}.\:{what}\:{is}\:{the}\:{result}\:{of}\:\frac{{y}}{{x}}+\frac{{x}}{{y}} \\ $$

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