Answer:
Runners that decrease times are not improving
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The n th term formula of a geometric sequence is
= a 
where a is the first term and r the common ratio
Using the second and fourth term, then
ar = 6 → (1)
ar³ = 54 → (2)
Divide (2) by (1)
= 
= 9
r² = 9 ⇒ r = 
= 3 → C
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:
X = 155
Step-by-step explanation:
You subtract 180 and 33 to get 147 and add 8 to that and you get 155 as your answer
Answer:
Step-by-step explanation:
So we have the inequality:
Add 1 to both sides. The left side cancels:
Subtract 4x from both sides. The right side cancels:
Divide both sides by -1. Since we're dividing by a negative, we flip the sign:
And we're done!
Our solution is all numbers less than -8.
