Answer:
-2497
Step-by-step explanation:
We are given an arithmetic series with the following terms:
First term,
= -40
Common difference, d = -7
Number of terms, n = 22
To find out: Sum of n terms, where n is 22
We know that Sum of n terms in an arithmetic series is given as:
![S_n =\dfrac{n}{2} (2Q_1+(n-1)d)](https://tex.z-dn.net/?f=S_n%20%3D%5Cdfrac%7Bn%7D%7B2%7D%20%282Q_1%2B%28n-1%29d%29)
Putting the values in the formula:
![S_{22} = \dfrac{22}{2} (2 \times -40+(22-1)\times (-7))\\\Rightarrow S_{22} = 11 \times (-80-147)\\\Rightarrow S_{22} = 11 \times (-227)\\\Rightarrow S_{22} = -2497](https://tex.z-dn.net/?f=S_%7B22%7D%20%3D%20%5Cdfrac%7B22%7D%7B2%7D%20%282%20%5Ctimes%20-40%2B%2822-1%29%5Ctimes%20%28-7%29%29%5C%5C%5CRightarrow%20S_%7B22%7D%20%3D%2011%20%5Ctimes%20%28-80-147%29%5C%5C%5CRightarrow%20S_%7B22%7D%20%3D%2011%20%5Ctimes%20%28-227%29%5C%5C%5CRightarrow%20S_%7B22%7D%20%3D%20-2497)
So, the sum of 22 terms is <em>-2497</em>.
Answer:
If you look at the slope-intercept form equation: y = mx + b
y is the output, m is the slope, and b is the y-intercept. To find the slope, you need to look at mx for your equation.
Since it is
you need to look at the number before the x, which in this case will be -7/3
So your slope will be m = -7/3
Answer:
Step-by-step explanation:
![\huge\bigg( \frac{ {x}^{5} }{ {x}^{2} } \bigg)^{2} \\ \\ \huge = ( {x}^{5 - 2} ) ^{2} \\ \\ \huge = ( {x}^{3} )^{2} \\ \\ \huge = {x}^{3 \times 2} \\ \\ \huge = {x}^{6} \\ \\ \huge \boxed{ \red{ \therefore \: \bigg( \frac{ {x}^{5} }{ {x}^{2} } \bigg)^{2}} \pink{ = } \purple{ {x}^{6} }}](https://tex.z-dn.net/?f=%20%5Chuge%5Cbigg%28%20%5Cfrac%7B%20%7Bx%7D%5E%7B5%7D%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20%7D%20%5Cbigg%29%5E%7B2%7D%20%20%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%3D%20%28%20%7Bx%7D%5E%7B5%20-%202%7D%20%29%20%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%5Chuge%20%3D%20%28%20%7Bx%7D%5E%7B3%7D%20%29%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%5Chuge%20%3D%20%20%7Bx%7D%5E%7B3%20%5Ctimes%202%7D%20%20%5C%5C%20%20%5C%5C%20%5Chuge%20%3D%20%20%7Bx%7D%5E%7B6%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cboxed%7B%20%5Cred%7B%20%5Ctherefore%20%5C%3A%20%20%5Cbigg%28%20%5Cfrac%7B%20%7Bx%7D%5E%7B5%7D%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20%7D%20%5Cbigg%29%5E%7B2%7D%7D%20%20%20%5Cpink%7B%20%3D%20%7D%20%5Cpurple%7B%20%7Bx%7D%5E%7B6%7D%20%7D%7D)
Answer:
well eric was correct because we have no measurements to use.
Answer:
1/3
Step-by-step explanation: