How do you find the inverse of the exponential growth function?
f(x)=9.16(1.0054)^x
I know the inverse of an exponential is the log but the function is not in the exponential form and I am not sure how to find c
Answers
Answer:
The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)
Step-by-step explanation:
Starting equation... f(x) = 9.16(1.0054)ˣ
Visually rewritten... y = 9.16(1.0054)ˣ
Flipping x and y... x = 9.16(1.0054)ʸ
Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ
Taking the log of both sides... log (x/9.16) = y log (1.0054)
Isolating y... log (x/9.16)/log (1.0054) = y
Solution... y = log (x/9.16)/log (1.0054)
Related Questions
During an 8 hour work-day, Bob spends 2
hours on the phone. What fraction of the day
does he spend on the phone?
A. 1/5
B. 1/3
C. 1/4
D. 1/8
Answers
The question states that Bob spends 2 hours a day on the phone [which basically answers the how much time does he spend]. Next, find the total amount of hours in his day, which is 8 [stated in the question].
Write a fraction from the given information;
2/8, then simplify, by diving both the numerator and denominator by 2.
Therefore,
C) 1/4
Question in picture
Answers
Answer:(-8,6) (-5,8
Step-by-step explanation:
P l e a s e NO LINKS!
Which word has reflectional symmetry across a horizontal line?
A. BOOK
B. LOOK
C. NOOK
D. ROOK
Answers
Answer:
A BOOK
Step-by-step explanation:
pretty sure its that
The word BOOK shows a reflection symmetry across a horizontal line.
Hence, option (A) is correct.
What is reflection?Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.
Solve with the help of options,
(A)
BOOK
To find the reflection across a horizontal line,
When word B reflected over horizontal line, it is symmetrical
Word O is symmetrical.
And K is also symmetrical across a horizontal line.
Therefore, BOOK is a reflection symmetry across a horizontal line.
To learn more about Reflection on:
https://brainly.com/question/15487308
#SPJ2
which of the equations below would have a line that passes through both (1,7) and (0,-9)
Answers
Answer:
Step-by-step explanation:
(-9-7)/(0-1)= -16/-1= 16
y - 7 = 16(x - 1)
y - 7 = 16x - 16
y = 16x - 9
What is the Square root of -18
Answers
Answer:
3i square root 2
Step-by-step explanation:
The cost of an anti-virus software package is $65 for the first year and $10 for each annual renewal. If the independent variable is the number of annual renewals and the dependent variable is the total amount paid, what is the slope and y-intercept of the graph of the equation representing this situation?
Answers
Answer:
slope $10/renewaly-intercept $65Step-by-step explanation:
The slope is the cost of a renewal: $10.
The y-intercept is the initial cost: $65.
30% of 70 is what?
me is not smart
Answers
Answer:
21
Step-by-step explanation:
30/100 × 70= 2100/100
= 21
if p(x)=x^2-4x+3 evaluvate p(2)-p(-1)+p(1/2)
Answers
Answer:
....◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉
Given g(x)=-x+4g, solve for x when g(x)=8
Answers
Answer:g(-4)=8
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the original quantity is 10 and the new quantity is 3, what is the percent increase?
Answers
Answer:
30% Increase
Step-by-step explanation:
We Know 3 is 30% of 10 and 10+3=13 so we know that 13 is a 30% increase of 10.
Hopes This Helps :)
The digits from the serial number of a dollar bill are listed below.
6,8,5,8,2,8,5,8
Answers
Answer:
8 occurs most often so the number is 8.
Answer:
The mode is 8.
Step-by-step explanation:
mode means the number that occurs the most in a list.
2x-5y=9 y-3x=-7 solve by substitution
Answers
x
=
2
and
y
=
−
1
Explanation:
y
=
3
x
−
7
and
2
x
−
5
y
=
9
Substitute for
y
2
x
−
5
(
3
x
−
7
)
=
9
Simplify
2
x
−
15
x
+
35
=
9
Keep going and get
−
13
x
=
−
26
So
x
=
2
Now find
y
y
=
3
x
−
7
→
3
(
2
)
−
7
y
=
−
1
x is a random real number between 0 and 3. what is the probability that it is closer to 0 than it is to 1?
Answers
Answer:
The area y>x will belong to the trapezoidal area. Thus, the area of the trapezoid = 0.5*(4+1)*3 = 15/2. Finally, the required probability = trapezoid ...
Step-by-step explanation:
which expression is equivalent 2(t-4)+1?
Answers
Answer:
(Answer below)
Step-by-step explanation:
2t - 8 + 1
this is the expanded form of 2(t-4)+1 therefore, it is the same as 2(t-4)+1
how I got this: 2 x t = 2t 2 x 4 = 8 2t + 8 +1
Can someone help me plsssssssssssss
Answers
Answer:
The lines will cross at (-5,1)
Step-by-step explanation:
I graphed it
why you copy my profile picture hello.....
cos(x+2)=sin(3x). Need done for a test please help.
Answers
Anybody know the answer !!
Answers
Answer:
17.08
Step-by-step explanation:
When it reaches its maximum, suppose that y = 0
Therefore you will need to factorise and solve
-16x^2 + 267 x + 107 = 0
Here you can use the quadratic equation[tex]\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]
Where you will get x = -0.39 seconds or 17.08 seconds (rounded to 2 decimal places according to the question
Because -0.39 is negative, this answer can be deleted
Leacing x = 17.08 seconds
HELP PLS !!! IM IN A TESTT!
Answers
2. d
3. a
4. b
Hope I got this to you in time!
The coefficient of 3x is "3."
True
False
Answers
Answer:
true
Step-by-step explanation:
Answer:
false.
Step-by-step explanation:
btw i love your pfp.
What is the exact length of AB ?
Answers
Answer:
B
4*2=8
Hope This Helps!!!
An airplane is 280 feet long. Charlie makes a scale model of the airplane at 1:140 of its actual size. How long is the model?
Answers
Answer:
2 feet long
Step-by-step explanation:
Lisa paint 3/8 of the room and Madison paint 1/5
how much more of the room did Lisa paint
Answers
Answer:
[tex]\huge\boxed{\frac7{40}\ more\ of\ the\ room}[/tex]
Step-by-step explanation:
To solve this problem, you need to find the common denominator.
To do this, simply multiply the first fraction by 5/5, and the second by 8/8 to get:
[tex]\frac15=\frac{1}{5}*\frac{8}{8} = \frac{1*8}{5*8} = \frac{8}{40}[/tex]
[tex]\frac38=\frac38*\frac55=\frac{3*5}{8*5}=\frac{15}{40}[/tex]
Thus, Lisa painted 7/40 more of the room than Madison.
Hope it helps :)
Can someone pls help me like plsssssssss
Answers
Answer:
2x-8
Step-by-step explanation:
hi
hope it helps you
thank me later
carryonlearing
Answer:
The third one is not the same (2+x-4)
Step-by-step explanation:
2x-8 is the same as -8+2x as it just switched places
With 2(x-4)
You multiply 2 with x and -4
Which is 2x-8
Thus the same
2+x-4
is not the same since if you add 2 and -4
You will get
x-2
Which is not the same as 2x-8
Hope this helps!
i need help w this pls :)
Answers
Answer:
x8 y6
Step-by-step explanation:
which graph best represents the solution set of y< -4x?
Answers
D because the line is not "dotted' and it's on the y intercept and not in the x-axis
A triangle has sides measuring 5 inches and 8 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
O A. 5
B. 3
O C. 55x58
D. 35xs13
Answers
Answer:
For me,the answer will be A.
im not sure
correct me if im wrong
love ya
Answer:
B
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
8 - 5 < x < 8 + 5 , then
3 < x < 13 → B
A company makes 140 bags.
30 of the bags have buttons but no zips.
27 of the bags have zips but no buttons.
20 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
Answers
Answer: 41/75 or 54.67%
Step-by-step explanation:
Buttons --- yes, zips --- yes = 45 (compute as 150 - 37 - 45 - 23)
Buttons --- yes, zips --- no = 37
Buttons --- no, zips --- yes = 45
Buttons --- no, zips --- no = 23
Therefore, 82 out of 150 bags have buttons so probability = 82/150 = 41/75
Can you help me with number 45 please ?
Answers
Answer:
h = 84
f = 132
g= 28
Step-by-step explanation:
h = 180 - 48 - 48 = 84
f = 180 - 48 = 132
g = 180 -132 - 20 = 28
I NEED ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 10 MINS!
Answers
Answer:
644.972
Step-by-step explanation:
6x100=600
4x10=40
4x1=4
9x(1/10)=0.9
7x(1/100)=0.07
2x(1/1000)=0.002
add all of these values up. hope this helps!
Nikita began with the figure shown.
A.
B
She completed the following actions to construct the angle bisector of ZABC, but made a mistake in one of the steps. Select the step in which
her mistake was made.
Step 1: She placed the compass on point B and drew an arc which intersects ray BA at point D and ray BC at point E.
Step 2: Next, she placed the compass on point D and drew an arc on the interior of ZABC.
Step 3: Then, she placed the compass on point C and drew an arc on the interior of ZABC, which intersects the previous arc.
Step 4: She labeled the intersection of the two arcs as point F and drew the ray BF, which represents the angle bisector
of ZABC.
Answers
The angles formed by the angle bisector BF are ∠FBA and ∠FBC.
The step in which the mistake was made is step 3; Then, she placed the compass on point C and drew an arc on the interior of ∠ABC which intersects the previous arc.
Reasons:
The steps to draw an angle bisector are;
Place the compass at the vertex of the angle and draw an arc intersecting the the two rays forming the angle at points D and E
Place the compass at point D and draw an interior arc to the given angle
Place the compass at point E and draw a second interior arc intersecting the previous arc
The point of intersection of the two arcs can be labelled F and joined to the vertex of the given angle to complete the angle bisection
Therefore, the step in which the mistake was made is; Step 3 where the compass is placed at point C rather than point E to draw the second arc of the angle bisector
Learn more about an angle bisector here:
https://brainly.com/question/10130247
Answer:
Step three
Step-by-step explanation:
she placed the point on C when it was supposed to be on E