Answer:
(-3 , 1)(-2,4) (4,5) (2,0)
Step-by-step explanation:
Rotation around center (x₀ , y₀), counterclockwise rotation θ degree
x₂ = (x₁-x₀)cosθ - (y₁-y₀)sinθ + x₀
y₂ = (x₁-x₀)sinθ + (y₁-y₀)cosθ + y₀
A(-2.4) -> counterclockwise rotation 90°
F(x,y): x = (-2+1)cos90° - (4-2)sin90° + (-1) = -3
y = (-2+1)sin90° + (4-2)cos90° + 2 = 1
F (-3 , 1)
Use the above formula to calculate other 3 points: (-2,4) (4,5) (2,0)
Answer:
Workers of army contract were more productive.
Step-by-step explanation:
To determine on which contract the workers were more productive compute the work done per hour by the workers for both contracts.
Number of devices = 2,300
Number of workers = 25
Number of weeks = 2 weeks
Number of hours per week = 40
The number of hours it took 25 workers to produce 2300 devices is =
Then number of devices produced in 1 hour is =
Number of devices = 5,500
Number of workers = 35
Number of weeks = 3 weeks
Number of hours per week = 40
The number of hours it took 35 workers to produce 5500 devices is =
Then number of devices produced in 1 hour is =
The workers for the army contract are more productive since they produce 1.31 devices per hour whereas the workers for navy contract produces 1.15 devices per hour.
Given:
The geometric sequence is:
1 -4
2 20
3 -100
To find:
The explicit formula and list any restrictions to the domain.
Solution:
The explicit formula of a geometric sequence is:
...(i)
Where, a is the first term, r is the common ratio and .
In the given sequence the first term is -4 and the second term is 20, so the common ratio is:
Putting in (i), we get
where
Therefore, the correct option is B.