Mathematics, 18.07.2019 05:00 Kurlyash

Alexa uses the binomial theorem to correctly expand (x+2)^4. which is one of the terms in alexa's answer?

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Answer from: monacelli21212owlrlu

Alexa's answer is: (x+2)^4=x^4+8x^3+24x^2+32x+16 .

Using the binomial theorem we get:

$(x+2)^4 \\\\=(4C0)(x)^4(2)^0 + (4C1)(x)^3(2)^1 + (4C2)(x)^2(2)^2 + (4C3)(x)^1(2)^3 + (4C4)(x)^0(2)^4\\\\= 1(x)^4(2)^0 + 4(x)^3(2)^1 + 6(x)^2(2)^2 + 4(x)^1(2)^3 + 1(x)^0(2)^4\\\\=x^4+8x^3+24x^2+32x+16$

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Answer from: eliezer25

^0 ...............1
^1..............1 1
^2............1 2 1
^3...........1 3 3 1
^4..........1 4 6 4 1

(x+2)^4 = 1(x)^4(2)^0 + 4(x)^3(2)^1 + 6(x)^2(2)^2 + 4(x)^1(2)^3 + 1(x)^0(2)4
= $x^{4} + 8 x^{3} + 24 x^{2} + 32x + 16$

Answer from: Quest

hello :

70y^8 + 30y^6 = 2 ( 35 y^8 + 15y^6)

the lenght is : 35 y^8

the width is : 15y^6

Answer from: Quest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

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Alexa uses the binomial theorem to correctly expand (x+2)^4. which is one of the terms in alexa's an...

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