2sqrt3/3, -2sqrt3/3
hope this helps
Answer:
![v_{1}.v_{2} = 0.804](https://tex.z-dn.net/?f=v_%7B1%7D.v_%7B2%7D%20%3D%200.804)
In terms of the class, the dot product represents the weighed class average.
Step-by-step explanation:
The two vectors are:
-
The weight of each of the semester's exams.
![v_{1} = (10%, 15%, 25%, 50%)](https://tex.z-dn.net/?f=v_%7B1%7D%20%3D%20%2810%25%2C%2015%25%2C%2025%25%2C%2050%25%29)
In decimal:
![v_{1} = (0.10, 0.15, 0.25, 0.50)](https://tex.z-dn.net/?f=v_%7B1%7D%20%3D%20%280.10%2C%200.15%2C%200.25%2C%200.50%29)
-
The class average on each of the exams
In decimal:
![v_{2} = (0.75, 0.91, 0.63, 0.87)](https://tex.z-dn.net/?f=v_%7B2%7D%20%3D%20%280.75%2C%200.91%2C%200.63%2C%200.87%29)
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Dot product:
Suppose there are two vectors, u and v
u = (a,b,c)
v = (d,e,f)
There dot product between the vectors u and v is:
u.v = (a,b,c).(d,e,f) = ad + be + cf
------------------
So
![v_{1}.v_{2} = (0.10, 0.15, 0.25, 0.50).(0.75, 0.91, 0.63, 0.87) = 0.10*0.75 + 0.15*0.91 + 0.25*0.63 + 0.50*0.87 = 0.804](https://tex.z-dn.net/?f=v_%7B1%7D.v_%7B2%7D%20%3D%20%280.10%2C%200.15%2C%200.25%2C%200.50%29.%280.75%2C%200.91%2C%200.63%2C%200.87%29%20%3D%200.10%2A0.75%20%2B%200.15%2A0.91%20%2B%200.25%2A0.63%20%2B%200.50%2A0.87%20%3D%200.804)
![v_{1}.v_{2} = 0.804](https://tex.z-dn.net/?f=v_%7B1%7D.v_%7B2%7D%20%3D%200.804)
In terms of the class, the dot product represents the weighed class average.
Based on the type of transaction that Fantastic Catering completed, the types of accounting basis they are in will be:
Cash Basis Accrual Basis
May 1 (2,700) 0
May 5 (240) (240)
May 9 2,700 2,700
May 14 (2,400) 0
May 23 0 2,900
May 31 0 (1,800)
May 31 0 ( 900 )
May 31 0 ( 730)
<h3>When are the cash and accrued basis used?</h3>
The cash basis is used for when cash transactions have happened. There has to be cash changing hands for this to be recorded like the prepaid rent and the payment for kitchen equipment.
The accrual basis is used for all payments and revenue including both cash transactions and those that are recorded on account such as the banquet on May 23 and accrued salaries.
Find out more on the accrual basis at brainly.com/question/25817056.
#SPJ1
Answer:
The answer is 200 callers
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
You can compare parts of each expression to see that x in the left-side expression is replaced by 10 in the right-side expression.
x = 10
__
If you'd rather, you can work your way down to the same conclusion by undoing the operations that have been done to x.
(6x -1)° = (6(10) -1)° . . . . . . given
6x -1 = 6(10) -1 . . . . . . . . . divide both sides by °
6x = 6(10) . . . . . . . . . . . . add 1 to both sides
x = 10 . . . . . . . . . . . . . . . . divide both sides by 6