Q1
the clothes are on 45% discount, wich mean they become 55% of their original price.
30× 55% =16.5
64×55%=35.2
the new salary is 103% of the original
10×103% = 10.3
11600×103% = 11,948
Q2:
1+0.24= 1.24
1- 0.27= 0.73
86×140%= 120.4
440×119%= 523.6
82×90% = 73.8
480× 73%= 350.4
Answer:
Vel_jet_r = (464.645 mph) North + (35.35 mph) East
||Vel_jet_r|| = 465.993 mph
Step-by-step explanation:
We need to decompose the velocity of the wind into a component that can be added (or subtracted from the velocity of the jet)
The velocity of the jet
500 mph North
Velocity of the wind
50 mph SouthEast = 50 cos(45) East + 50 sin (45) South
South = - North
Vel_ wind = 50 cos(45) mph East - 50 sin (45) mph North
Vel _wind = 35.35 mph East - 35.35 mph North
This means that the resulting velocity of the jet is equal to
Vel_jet_r = (500 mph - 35.35 mph) North + 35.35 mph East
Vel_jet_r = (464.645 mph) North + (35.35 mph) East
An the jet has a magnitude velocity of
||Vel_jet_r|| = sqrt ((464.645 mph)^2 + (35.35 mph)^2)
||Vel_jet_r|| = 465.993 mph
Answer:
g o f = -[f(x)]² + 3 = -(|x|)² + 3 = -x² + 3 = g(x)
Step-by-step explanation:
g o f = g [ f(x) ]
This means replace the x of g(x) with f(x):
g o f = -[f(x)]² + 3 = -(|x|)² + 3
As x² ≥ 0 for any value of x (whether it be positive or negative), then -(|x|)² + 3 = -x² + 3 = g(x)
So g o f = g(x)
