Answer:50%
Step-by-step explanation:
Answer:
Step-by-step explanation:
A recursive formula is a formula in which each term is based on the previous term.
In a geometric sequence, each term is found by multiplying the previous term by a constant.
To get from 27 to 9, then from 9 to 3, etc., we would multiply by 1/3. This makes the common ratio 1/3.
The recursive formula for a geometric sequence is
, where 
represents the general term, 
, represents the previous term, and r represents the common ratio.
Plugging in our values, we have
We also have to indicate what the first term, a₁, is. In this sequence, it is 21. This gives us
Answer:
The answer to the question is
It take for the golf ball hit on Mars to reach the ground 8.284 s longer.
Step-by-step explanation:
To Solve the question, we note that the equation of motion is given to us as
h = -1.9·t² + 26·t
Therefore the height
We compare the above equation with the equation of of motion
S = ut - 0.5×g×t² where u = initial velocity = 26 m/s and - 0.5×g = -1.9
Therefore the acceleration due to gravity om mars = -1.9/-0.5 = 3.8 m/s²
We now have the time taken to maximum height given by
v = u - g·t where v = 0 at maximum height
We therefore have u = g·t → 26 = 3.8×t or t = 26/3.8 = 6.84 seconds
The time taken for ball to hit the ground is 2 × the time to reach maximum height = 2 × 6.84 = 13.684 s
The time longer it takes for the ball on Mars to complete the path up to maximum height and down again is 13.684 s - 5.4 s = 8.284 s.
Answer:
y = -3x - 1
Step-by-step explanation:
y = mx + c
m = (-4-2)/(1-(-1)) = -6/2 = -3
y = -3x + c
When x = -1, y = 2
2 = -3(-1) + c
c = 2 - 3 = -1
y = -3x - 1
Answer:
90 red cars, 150 blue cars
Step-by-step explanation:
Divide 240 by 8. 8 comes from the 3:5 ratio (3+5). 240/8=30. 30x3=90, 30x5=150.
