Answer:
0.06
Step-by-step explanation:
hope this helps
6 divide by 100= 0.06
The sixth term of an arithmetic sequence is 6
<h3>How to find arithmetic sequence?</h3>
The sum of the first four terms of an arithmetic sequence is 10.
The fifth term is 5.
Therefore,
sum of term = n / 2(2a + (n - 1)d)
where
- a = first term
- d = common difference
- n = number of terms
Therefore,
n = 4
10 = 4 / 2 (2a + 3d)
10 = 2(2a + 3d)
10 = 4a + 6d
4a + 6d = 10
a + 4d = 5
4a + 6d = 10
4a + 16d = 20
10d = 10
d = 1
a + 4(1) = 5
a = 1
Therefore,
6th term = a + 5d
6th term = 1 + 5(1)
6th term = 6
learn more on sequence here: brainly.com/question/24128922
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Answer:
![c=\dfrac{27}{40}\\](https://tex.z-dn.net/?f=c%3D%5Cdfrac%7B27%7D%7B40%7D%5C%5C)
Step-by-step explanation:
We are required to solve for c in the equation: ![\dfrac{1}{8}+c= \dfrac{4}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B8%7D%2Bc%3D%20%5Cdfrac%7B4%7D%7B5%7D)
Step 1: Collect like terms
![\dfrac{1}{8}+c= \dfrac{4}{5}\\c= \dfrac{4}{5}-\dfrac{1}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B8%7D%2Bc%3D%20%5Cdfrac%7B4%7D%7B5%7D%5C%5Cc%3D%20%5Cdfrac%7B4%7D%7B5%7D-%5Cdfrac%7B1%7D%7B8%7D)
Step 2: Find the Lowest Common Multiple of the denominators
LCM of 8 and 5 is 40
Step 3: Multiply all through by 40
![40c= \dfrac{4}{5}*40-\dfrac{1}{8}*40](https://tex.z-dn.net/?f=40c%3D%20%5Cdfrac%7B4%7D%7B5%7D%2A40-%5Cdfrac%7B1%7D%7B8%7D%2A40)
Step 4: Simplify
40c=32-5
40c=27
Step 5: Divide both sides by 40 and simplify if possible.
![c=\dfrac{27}{40}\\](https://tex.z-dn.net/?f=c%3D%5Cdfrac%7B27%7D%7B40%7D%5C%5C)
Simplify
![\\ \tt\Rrightarrow f(x)=(x+2)^2-1](https://tex.z-dn.net/?f=%5C%5C%20%5Ctt%5CRrightarrow%20f%28x%29%3D%28x%2B2%29%5E2-1)
![\\ \tt\Rrightarrow f(x)=x^2+4x+2-1](https://tex.z-dn.net/?f=%5C%5C%20%5Ctt%5CRrightarrow%20f%28x%29%3Dx%5E2%2B4x%2B2-1)
![\\ \tt\Rrightarrow f(x)=x^2+4x+1](https://tex.z-dn.net/?f=%5C%5C%20%5Ctt%5CRrightarrow%20f%28x%29%3Dx%5E2%2B4x%2B1)
The Domain is set of all real numbers
![\\ \tt\Rrightarrow Domain\in R](https://tex.z-dn.net/?f=%5C%5C%20%5Ctt%5CRrightarrow%20Domain%5Cin%20R)