9514 1404 393
Answer:
64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729
Step-by-step explanation:
The row of Pascal's triangle we need for a 6th power expansion is ...
1, 6, 15, 20, 15, 6, 1
These are the coefficients of the products (a^(n-k))(b^k) in the expansion of (a+b)^n as k ranges from 0 to n.
Your expansion is ...
1(2k)^6(-1/3)^0 +6(2k)^5(-1/3)^1 +15(2k)^4(-1/3)^2 +20(2k)^3(-1/3)^3 +...
15(2k)^2(-1/3)^4 +6(2k)^1(-1/3)^5 +1(2k)^0(-1/3)^6
= 64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729
Answer:
9/4 or 2& 1/4 or 2.25
Step-by-step explanation:
4x-7=2
4x=9
/4
x= 9/4 or 2.25
Let 
be the random variable for the time a given person from the population spends sleeping. With 
we have
where 
.
Rounded to the nearest whole number, that comes out to about 31%.
Not sure what you mean by solution since that’s already simplified and inequalities don’t hav coordinate points as solution.
But -4<-3 so that point wouldn’t go into the “shaded area” of that inequality.
Hope this helps
Answer:pink is arithmetic because you’re adding 1.5 each time and did purple the common difference is 1/3 and it’s a geometric problem
Step-by-step explanation: so you use equation an=a1(r)^n-1 so when u substitute the values in u get an=6889050(1/3)^10-1 the final answer will be 350
