Answer: No Solution
<u>Step-by-step explanation:</u>
ln x - ln (x + 2) = 4 restrictions: x > 0 and x + 2 > 0 → x > 0
ln
= 4
= e⁴
x = e⁴ (x + 2)
x = 54.5982 (x + 2)
x = 54.5982x + 109.1964
- 53.5982x = 109.1964
x = 
x = -2.0373
-2.0373 is not greater than 0 so is not valid
**************************************************************************
Answer: 2.1972
<u>Step-by-step explanation:</u>
eˣ = 9
ln eˣ = ln 9
x = ln 9
x ≈ 2.1972
**************************************************************************
Answer: 
<u>Step-by-step explanation:</u>
log₂ (3x - 4) = -1
3x - 4 = 2⁻¹
3x - 4 = 
<u> +4 </u> <u>+4 </u>
3x = 
3x = 

x = 
**************************************************************************
Answer: 1.117519
<u>Step-by-step explanation:</u>
in the calculator, type in 1 ÷ 9.
Then hit the eˣ button.
e¹⁾⁹
= e°¹¹¹¹¹¹
= 1.117519
rounded to 6 decimal places: 1.117519
Answer:
audrey_111506
Step-by-step explanation:
Answer:
Choice B:
.
Step-by-step explanation:
For a parabola with vertex
, the vertex form equation of that parabola in would be:
.
In this question, the vertex is
, such that
and
. There would exist a constant
such that the equation of this parabola would be:
.
The next step is to find the value of the constant
.
Given that this parabola includes the point
,
and
would need to satisfy the equation of this parabola,
.
Substitute these two values into the equation for this parabola:
.
Solve this equation for
:
.
.
Hence, the equation of this parabola would be:
.
For this case we have the following fraction:
(1-cos ^ 2 (θ)) / (sin ^ 2 (θ))
We must take into account the following trigonometric identity:
cos ^ 2 (θ) + sin ^ 2 (θ) = 1
Therefore rewriting we have:
sin ^ 2 (θ) = 1 - cos ^ 2 (θ)
Substituting in the given fraction we have:
(1-cos ^ 2 (θ)) / (sin ^ 2 (θ))
= (sin ^ 2 (θ)) / (sin ^ 2 (θ))
= 1
Answer:
1