Perimeter of rectangle = all sides added
= 3+3+7+7 =20
volume of sphere = 4/3 x π x r(cubed)
= 4/3 x π X 4(cubed)
= 268.08257
area of triangle = base x height / 2
= 5 x 6 / 2
=30/2 =15
volume of pyramid = base height x base width x height / 3
= 300
side of triangle ---> use Pythagoras theorem so a(squared) + b (squared) = c(squared)
4(squared) + 3(squared) = c(squared)
16 + 9 = c(squared)
25 = c(squared)
c = 5
yw sis xoxoxo
Let
denote the <em>k</em>th term of the sequence. Then
![a_k=a_1+d(k-1)](https://tex.z-dn.net/?f=a_k%3Da_1%2Bd%28k-1%29)
where <em>d</em> is the common difference between consecutive terms in the sequence and <em>a</em>₁ is the first term.
The sum of the first <em>n</em> terms is
![S_n=\displaystyle\sum_{k=1}^na_k=a_1+a_2+\cdots+a_{n-1}+a_n](https://tex.z-dn.net/?f=S_n%3D%5Cdisplaystyle%5Csum_%7Bk%3D1%7D%5Ena_k%3Da_1%2Ba_2%2B%5Ccdots%2Ba_%7Bn-1%7D%2Ba_n)
From the formula for
, we get
![S_n=\displaystyle\sum_{k=1}^n(a_1+d(k-1))=a_1\sum_{k=1}^n1+d\sum_{k=1}^n(k-1)](https://tex.z-dn.net/?f=S_n%3D%5Cdisplaystyle%5Csum_%7Bk%3D1%7D%5En%28a_1%2Bd%28k-1%29%29%3Da_1%5Csum_%7Bk%3D1%7D%5En1%2Bd%5Csum_%7Bk%3D1%7D%5En%28k-1%29)
![S_n=\displaystyle na_1+d\sum_{k=0}^{n-1}k](https://tex.z-dn.net/?f=S_n%3D%5Cdisplaystyle%20na_1%2Bd%5Csum_%7Bk%3D0%7D%5E%7Bn-1%7Dk)
![S_n=na_1+\dfrac{d(n-1)n}2](https://tex.z-dn.net/?f=S_n%3Dna_1%2B%5Cdfrac%7Bd%28n-1%29n%7D2)
![S_n=\dfrac n2(2a_1-d+dn)](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%20n2%282a_1-d%2Bdn%29)
So we have
, and
so that
.
Then the <em>n</em>th term in the sequence is
![a_n=\dfrac{11}2-5(n-1)=\boxed{\dfrac{21-10n}2}](https://tex.z-dn.net/?f=a_n%3D%5Cdfrac%7B11%7D2-5%28n-1%29%3D%5Cboxed%7B%5Cdfrac%7B21-10n%7D2%7D)
Answer:
PRON
Step-by-step explanation:
FCUCK U
It’ll have to be answer b because the cost of the jacket increases
Answer:
(x-5) (x+1)
Step-by-step explanation:
x^2 - 4x - 5
Factor
What 2 numbers multiply to -5 and add to -4
-5*1 = -5
-5+1 = -4
(x-5) (x+1)