we conclude that the sequence has 8 terms.
<h3>
How to get the number of terms in the sequence?</h3>
Here we have the geometric sequence:
2/81, 4/27, 8/9, ..., 6912
Notice that each term is equal to 6 times the previous term, such that:
2/81*6 = 4/27
4/27*6 = 8/9
Then the n-th term is equal to:
Where in this case:
Now we need to find the value of n such that:
If we apply the natural logarithm to both sides, then:
Then we conclude that the sequence has 8 terms.
If you want to learn more about geometric sequences:
brainly.com/question/1509142
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Answer:23
Step-by-step explanation:
<h3>The equivalent expression is 6 + 6x</h3>
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
9 - (3 - 6x)
We have to find the equivalent expression
Use the distributive property,
a(b + c) = ab + bc
Therefore, from given expression,
Combine the constants, 9 - 3 = 6
Thus the equivalent expression is 6 + 6x
By definition we have:
sineA = (C.O) / (h)
cosA = (C.A) / (h)
Where,
C.O: opposite leg
C.A: adjacent leg
h: hypotenuse
Substituting values:
sinA = (48) / (50)
cosA = (14) / (50)
Answer:
sineA = (48) / (50)
cosA = (14) / (50)
Option 2
Answer:
The LCL of the R-chart starts from the origin ( i.e. zero value ) while the LCL of an X -chart did not start from the origin
LCL of R-chart = 0 * 0.84533 = 0
LCL of R-chart = 75.128
Step-by-step explanation:
Given data:
number of observations = 15
sample size ( m ) = 6
sum of sample mean = 80.20 ounces
sum of sample range ( R ) = 12.68 ounces
Determine the control limits of an x-bar and R-chart
<em>for an R-chart </em>
LCL of R-chart = D3 * R(bar) ---- ( 1 )
where : m = 6 , D3 = 0 , R = 12.68
R(bar) = 0.84533
back to equation 1
LCL of R-chart = 0 * 0.84533 = 0
<em>for an X-chart </em>
LCL of X-bar) = ( mean ) - (m x R-bar)
= 80.20 - ( 6 * 0.84533 )
= 75.128
The LCL of the R-chart starts from the origin ( i.e. zero value ) while the LCL of an X -chart did not start from the origin
