What is the coefficient of the fifth term in (a+b)^9

Answers

Answer 1

Answer:

Answer:

The coefficient of the fifth term is 126.

Step-by-step explanation:

The question implies that after the expansion of $(a+b)^(9)$ , what would be the coefficient of the fifth term. This long expansion can be easily done by the application of the Pascal principle of expansion.

Thus,

$(a+b)^(9)$ = $a^(9)$ + $9a^(8)b$ + $36a^(7) b^(2)$ + $84a^(6)b^(3)$ + $126a^(5)b^(4)$ + $126a^(4) b^(5)$ + $84a^(3) b^(6)$ + $36a^(2) b^(7)$ + $9ab^(8)$ + $b^(9)$

So, from this expansion, the fifth term is $126a^(5)b^(4)$ . And its coefficient is 126.

Answer 2

Answer:

Answer:

If you expand this using pascals triangle you will see that the fifth term is 126a^5b^4

the coefficient is the number 126

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Solve by adding and subtracting rational expressions. (3x)/(5xy^(4))+(6x^(2))/(15x^(2)y) Remember to show your work!

Answers

Answer:

Step-by-step explanation:

$(3x)/(5xy^(4))+(6x^(2))/(15x^(2)y)=(3)/(5y^(4))+(6)/(15y)\n\n=(3)/(5y^(4))+(2)/(5y)\n\n=(3)/(5y^(4))+(2*y^(3))/(5y*y^(3))\n\n=(3)/(5y^(4))+(2y^(3))/(5y^(4))\n\n=(3+2y^(3))/(5y^(4))$

What is the length of a side of a cube with a volume of 729 m3?

Answers

So, You Need To Find The Length Of One Of The Sides. So, Lets Find It Using The Cubed Method. 10*10*10 = 1000, So It Can't Be 10. 5*5*5 = 125, So It Needs To Be Bigger. 7*7*7 = 343, So Bigger. 8*8*8 = 512, So Bigger. 9*9*9 = 729m^3, So, The Side Length Of The Cube Is 9 Meters. I Hope This Helps!

Holly missed 7 of 180 days this year. Approximately what percent of school days was Holly in school?

Answers

Hi There!

Since there are 180 school days and Holly missed 7 then she attended $(173)/(180)$ days.

So, to find out the percent of school days she attended school you have to divide 173/180, 173 represents school days she attended or numerator, and 180 represents total school days the denominator. Once you divide 173/180 you should get 0.96111111111, but if you round it, the answer will be 96%.

Steps

1. Divide 173/180= 0.96111111111

2. Round you're answer 0.96111111111

Final Answer- Holly attended 96% percent of school days.

Hope This Helps:)

Answer:

THIS WAS MADE IN 2016. If someone is reading this, SEND HEARTSSS ANDDDD STARRSSS

Step-by-step explanation:

a pizza place charges $15 for a pepperoni pizza and $12 for a cheese pizza. the goal is to sell $540 in pizza for the day. The situation can be represented by the equation 15x+12y=540, x=pepperoni pizzas and y= cheese pizzas. If the pizza place runs out of pepperoni, how many cheese pizzas must be sold to reach the daily goal?

Answers

Answer:

$45

Step-by-step explanation:

540 divided by 12 = y

suppose you invest 2500 in an account paying 7.25% interest compounded annually find the balance after six years then after 25 years

Answers

y=2500(1+7.25%)^6 makes $3804.73
y=2500(1+7.25%)^25 makes $14383.76

A water tank holds 549 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 732 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

Answers

in 61 weeks the two tanks will be the same

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