Answer:
0.4077
Step-by-step explanation:
It's important to use parenthesis to avoid confusion.
9^(2x) = 6
Use exponent properties:
(9^2)^x = 6
81^x = 6
Take log of both sides
ln(81^x) = ln(6)
Use log properties:
x ln(81) = ln(6)
Solve for x:
x = ln(6) / ln(81)
x ≈ 0.4077
Answer:
The equation of the displacement 
as a function of time 
is :
Step-by-step explanation:
Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple 
or 
terms.
Thus,
is the general form of displacement of a SHM.
where,
- <em>
is the displacement with respect to the mean position at any time </em> - <em>
is amplitude </em> - <em>
is the natural frequency of oscillation (
)</em> - <em>
is the phase angle which indicates the initial position of the object in SHM (
)</em>
given,
- Time period (
) = 
- The natural frequency () and time period () is :
∴
= 
∴
the equation :
<em>⇒
</em> ------1
since 
when 
,
<em>⇒
------2</em>
where n is an integer ;
<u>⇒since the bouy immediately moves in the negative direction , 
must be negative or c must be an odd multiple of 
.</u>
<em>⇒ 
------3</em>
where k is also an integer ;
the least value of 
;
thus ,
the equation is :
<em></em>
The top left-hand corner set of data has the weakest linear association.
Hope that helped!!! :)
Answer:
3 3/8
Step-by-step explanation:
4 5 27
--- - ----- = ------- or 3 3/8
1 8 8
