Ali was asked to simplify the expression 3(x - 6) + (4x + 12) - 6x. His work is shown below.
1 answer:
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Step-by-step explanation:
General form of a sine or cosine wave is:
y = ±A sin((2π/T) t) + B
y = ±A cos((2π/T) t) + B
where A is the amplitude, T is the period, and B is the vertical offset or midline.
The Ferris wheel is 80 meters in diameter or 40 meters in radius.
A = 40
The Ferris wheel turns once every 8 minutes.
T = 8
The lowest point is 5 meters above the ground, so the center of the Ferris wheel is 45 meters above the ground.
B = 45
At t=0, you're at the lowest point, so use -cos.
Therefore, the equation is:
y = -40 cos(2π/8 t) + 45
y = -40 cos(π/4 t) + 45
When t = 5:
y = -40 cos(5π/4) + 45
y = 20√2 + 45
y ≈ 73.3 meters
When y = 35:
35 = -40 cos(π/4 t) + 45
-10 = -40 cos(π/4 t)
1/4 = cos(π/4 t)
π/4 t ≈ 1.318
t ≈ 1.68 minutes
Answer:
The number of units sold increased by
Step-by-step explanation:
Vacuum dealer sold units in 2011 = 420
Vacuum dealer sold units in 2012 = 467
We need to find percent increase or decrease
Since, In 2012 units sold are greater than 2011, so there will be percent increase.
The formula used is:
We have New Value (Units sold in 2012) = 467
Original Value (Units sold in 2011) = 420
Percent increase is:
So, The number of units sold increased by