The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.
We'll take log of each side.
Log of what base tho?
Well, the base of our exponential is e,
so we'll take log base e of each side.
We'll apply one of our log rules next:
This allows us to take the exponent out of the log,
Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
So our equation simplifies to this,
As a final step, divide both sides by 3,
k, hope that helps!
Answer:
They are equal to each other, because one vertical angle is a reflection of the other. True
They are not equal to each other, because one vertical angle is not a reflection of the other. False
They are equal to each other, because one vertical angle is supplementary to the other. False
They are not equal to each other, because one vertical angle is not supplementary to the other. False
The equation of the directrix of the parabola given is x = 6, Option D is the correct answer.
<h3>What is Directrix of a Parabola ?</h3>
A parabola is a U shaped curve whose all point are at same distnace from a point called as focus and a line called as Directrix .
The equation of the parabola given is
y² = -24x
When the standard equation of parabola is
(y - k)² = 4p (x - h),
where the focus is (h + p, k) and the directrix is x = h - p.
here h = 0
p = -24/4 = -6
x = 0 - (-6)
x = 6
Therefore Option D is the correct answer.
To know more about Directrix
brainly.com/question/17376399
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Answer:
Zero
Step-by-step explanation:
Undefined is a Vertical Line, remember the 2 U's Undefined is Up and Down. Zero, is straight across.
Answer: (E) Not necessarily, because this wasn't an experiment
Step-by-step explanation:
As much as the results would suggest that the fast-paced music was responsible for the faster finishing time, this conclusion cannot be authoritatively made because this was not technically an experiment but rather a test to satisfy curiosity.
An experiment is planned and is scientific. It has more stringent requirements that ensure causation that Roshanda did not meet before she engaged in this trial so we cannot say for a fact that her findings are objective.