Answer:
Step-by-step explanation:
The answer is Since 0 in ln(3x) - 0 is not a logarithm, the property of logarithms cannot be used here.
The difference shown cannot be written as a quotient of logarithms.
The step ln(x2) = ln(3x) - (0) reduces to
ln(x2) = ln(3x).
The possible solutions are 0 and 3, with 0 being extraneous.
Answer:
a) 
b) t = 0.3 seconds
c) d = 4.9t²
d) d = 11 cm.
Step-by-step explanation:
One test involves catching a 1 m ruler and measuring the distance, d in meters, that the ruler will travel before being caught, the reaction time t in seconds is then calculated using the formula
.......... (1)
a) the simplified expression is
......... (2)
b) If d = 44 cm = 0.44 meters, from equation (2) we get,
t = 0.299 seconds ≈ 0.3 seconds (Approximate)
c) If we make d as the subject of the equation, then

⇒ d = 4.9t² .......... (3)
d) Now, if
seconds, then from equation (3) we get,
d = 4.9 (0.15)² = 0.11 meters = 11 cm (Answer)
Answer:
A) 1/5
Step-by-step explanation:
Points on the graph: (10, 2) and (20, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4-2)/(20-10)
m= 2/10
m = 1/5
Answer:
<h2>x = 3</h2>
Step-by-step explanation:
Look at the picture.
We have the triangles 45° - 45° - 90° and 30° - 60° - 90°.
The sides of those triangles are in ratio:
1 : 1 : √2 and 1 : √3 : 2
Therefore
If AC = 6√2 then AB = BC = 6
If BC = 6 then x = 6 : 2 = 3