What is 660/120 as a fraction simplified

What type of number is shown below? 0.313311333111...

saveliy_v [14]

Square Roots and
Irrational Numbers

8 0

1 year ago

What is the ninth term in the binomial expansion of (X-2y)^13?

vlada-n [284]

Answer:

$329472\cdot x^5\cdot y^8$

Explanation:

Binomial expansion is:

$(a+b)^n=a^n+n\cdot a^{n-1}{\cdot b}+\frac{n(n-1)}{2}\cdot a^{n-2}\cdot b^2+------+b^n$

Here in given expression we have a=x , b=-2y and n = 13

general formula for binomial expansion is:

$T_{r+1} =^nC_r\cdot a^{n-r}\cdot b^r$

Since, $T_{r+1}$

r should be one number less than the term we need to find so it will become the number we need to find like here we have to find 9th term so, r=8

substituting the values in the genral formula we will get

$^13C_8\cdot x^{13-8}\cdot (-2y)^8$

After substituting the values we will get

$\frac{13!}{8!\cdot 5!}\cdot x^5\cdot (-2y)^8}$

After simplification we will get

$329472\cdot x^5\cdot y^8$ which will be the 9th term of the expansion

5 0

1 year ago

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What is the probability that a point chosen at random in the rectangle is also in the blue triangle? A triangle inside of a rect

Oduvanchick [21]

Alright, lets get started.

Two sides of the rectange are 14 and s.

So, the area of the rectange would be =

A triangle is cut from the rectangle.

The height of the triangle is =

The base of the triangle is = 14

So area of the triangle would be =

area of the triangle would be =

So, the area of shaded region = area of rectange - area of triangle

the area of shaded region =

As per given in question, area of shaded region is 84, hence

..........equation

So, this is the equation for s : Answer

Hope it will help :)

5 0

2 years ago

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Given the sequence 5,1,3 which term of sequence is -75

dimaraw [331]

Probably maybeeeeeeee

3 0

2 years ago

How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?

Harlamova29_29 [7]

The answer
f(x) = 0.7(6)x = f(x) = 0.7(6)^x, and g(x) = 0.7(6)–x= g(x) = 0.7(6)^-x=1/0.7(6)^x
so 
g(x) =1/0.7(6)^x=1 /f(x)

 the relationship between f and g are g(x) =1 /f(x) or g(x) . f(x) = 1

7 0

2 years ago

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