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In this sequence, our common ratio is -3 (each value is -3 times the previous value). The first (or 1th) term of the sequence is 6, so we can form our equation:
Now we have to find the 11 term. To do so, we plug 11 into our equation where the x would be. Once that's done, we do the math as follows:
(plug in)
(simplify by subtracting 1 from 11 to get 10)
(simplify by calculating 3 to the power of 10 to get 59049)
(solve by multiplying 6 by 59040 to get 354294
Therefore, our 11th term in the sequence is 354394.
Discrepancy is the difference of a the value from the uniform distribution. The function for the given situation can be given as,
Hence the option 2 is the correct option.
Given information-
The standard diameter of the golf ball is 42.67 mm.
The discrepancy in the diameter is 0.004 mm.
<h3>What is discrepancy?</h3>Discrepancy is the difference of a the value from the uniform distribution.
Suppose the discrepancy is x mm.
If the discrepancy in diameter is more than 0. 004 mm, the production is stopped.
As the discrepancy of 0.004 mm or more is stopped the production, we have to subtract the diameter to the discrepancy .
Thus the function for the situation can be given as,
Rearrange for the x,
Thus the function for the given situation can be given as,
Hence the option 2 is the correct option.
Learn more about the discrepancy here;
Answer:
cos(x-30)=1/2
Step-by-step explanation:
We use the following relationship to obtain cos(x)
From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4
To obtain the value of cos(x-30), lets remember the following expression:
Therefor, we can use that to obtain our desired function cos(x-30)
cos(x)*cos(30)+sin(x)*sin(30)
=2/4=1/2