By the binomial theorem,
![(2x+y)^4=\displaystyle\sum_{k=0}^4\binom 4k(2x)^{4-k}y^k=\sum_{k=0}^4\binom 4k2^{4-k}x^{4-k}y^k](https://tex.z-dn.net/?f=%282x%2By%29%5E4%3D%5Cdisplaystyle%5Csum_%7Bk%3D0%7D%5E4%5Cbinom%204k%282x%29%5E%7B4-k%7Dy%5Ek%3D%5Csum_%7Bk%3D0%7D%5E4%5Cbinom%204k2%5E%7B4-k%7Dx%5E%7B4-k%7Dy%5Ek)
where
![\dbinom nk=\dfrac{n!}{k!(n-k)!}](https://tex.z-dn.net/?f=%5Cdbinom%20nk%3D%5Cdfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D)
Then the coefficients of the
terms in the expansion are, in order from
to
,
![\dbinom 402^{4-0}=1\cdot2^4=16](https://tex.z-dn.net/?f=%5Cdbinom%20402%5E%7B4-0%7D%3D1%5Ccdot2%5E4%3D16)
![\dbinom412^{4-1}=4\cdot2^3=32](https://tex.z-dn.net/?f=%5Cdbinom412%5E%7B4-1%7D%3D4%5Ccdot2%5E3%3D32)
![\dbinom422^{4-2}=6\cdot2^2=24](https://tex.z-dn.net/?f=%5Cdbinom422%5E%7B4-2%7D%3D6%5Ccdot2%5E2%3D24)
![\dbinom432^{4-3}=4\cdot2^1=8](https://tex.z-dn.net/?f=%5Cdbinom432%5E%7B4-3%7D%3D4%5Ccdot2%5E1%3D8)
![\dbinom442^{4-4}=1\cdot2^0=1](https://tex.z-dn.net/?f=%5Cdbinom442%5E%7B4-4%7D%3D1%5Ccdot2%5E0%3D1)
Answer:
21.97 tissues
15.47 cough drops
Step-by-step explanation:
13x1.69=21.97
1.19x15.47
Supplementary angles add to 180
4+5=9
180/9=20
4*20=80
5*20=100
the angles are 80 degrees and 100 degrees
In this equation x equals the number that came previously in the sequence.
The equation you need is ½x. That is the term to term for this question.
There are few ways to count it. One of them is:
400 miles on 15-gallon tank
400 / 15 = 26,66666666666667 miles per 1 gallon (looks weirdly but we'll get a nice result in a second)
So 26,66666666666667 * 6 gallons = 160 miles
Answer: Landon's SUV can travel 160 miles on 6 gallons.