Answer:
steps below
Step-by-step explanation:
Set log x = a and log y = b
x = 10ᵃ and y = 10ᵇ
if a>b 10ᵃ > 10ᵇ
so x > y
x = 57²⁰¹⁸ y = 51²⁰²⁰
log x = log 57²⁰¹⁸ = 2018 * log 57 = 3543.36 : (a)
log y = log 51²⁰²⁰ = 2020 * log 51 = 3449.29 : (b)
3543.36 > 3449.29 log x > log y
x > y: 57²⁰¹⁸ > 51²⁰²⁰
how to solve this derivative.
f(x)={ln(3x)}^2x
with steps...
Rewrite f(x) as a nested exponential-logarithm expression :
[tex]\left(\ln(3x)\right)^{2x} = \exp\left(\ln\left(\ln(3x)\right)^{2x}\right)[/tex]
(where [tex]\exp(x) = e^x[/tex])
One of the properties of logarithms lets us drop the exponent as a coefficient:
[tex]\exp\left(\ln\left(\ln(3x)\right)^{2x}\right) = \exp\left(2x\ln\left(\ln(3x)\right)\right)[/tex]
Now, by the chain rule, we have
[tex]f(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \implies \\\\ f'(x) = \left(\exp\left(2x\ln\left(\ln(3x)\right)\right)\right)' \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2x\ln\left(\ln(3x)\right)\right)'[/tex]
By the product rule,
[tex]f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left( (2x)' \ln\left(\ln(3x)\right) + 2x\left(\ln\left(\ln(3x)\right)\right)' \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left( 2\ln\left(\ln(3x)\right) + 2x\left(\ln\left(\ln(3x)\right)\right)' \right)[/tex]
By the chain rule again,
[tex]f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + 2x \cdot \dfrac1{\ln(3x)} \cdot \left(\ln(3x)\right)' \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + \dfrac{2x}{\ln(3x)} \cdot \dfrac1{3x} \cdot (3x)' \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + \dfrac{2}{3\ln(3x)} \cdot 3 \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + \dfrac{2}{\ln(3x)} \right)[/tex]
Then simplify this to
[tex]f'(x) = \boxed{\left(\ln(3x)\right)^{2x} \left(2\ln\left(\ln(3x)\right) + \dfrac{2}{\ln(3x)} \right)}[/tex]
82°
49°
F°
F = ? ? ?
Answer:
49 degrees
Step-by-step explanation:
The angles of a triangle must add up to 180 degrees. So, f = 180 - 82 - 49 = 49.
pls help find the area of this triangle
Answer:
c
Step-by-step explanation:
h × b then Divide by 2......
If a new car is valued at $20,600 and 8 years later it is valued at $7000, then what is the average rate of change of its value during those 8 years?
Given that the function graphed is ƒ(x), what is ƒ(4)? A) −2 B) −4 C) −6 D) −8
Answer: Solution for The graphs of the functions ƒ (x) = cos(x) and g(x) =x are shown to the left. Use the graph to approximate where the two functions intersect.…
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the indicated Z score. The graph depicts the standard normal distribution with mean 0 And the standard deviation 1
The indicated Z score is what?
The indicated Z score according to the given graph will be z < -0.1635
The normal distribution has a mean-values between 0 and 1.
From the graph, we can see that zero is placed in the middle and the shaded portion is towards the left side of zero.
According to the number line, the numbers to the left-hand side of zero are always negative, hence the indicated Z score according to the given graph will be z < -0.1635
Learn more here: https://brainly.com/question/24213960
PLEASE HELP 100 POINTS AND BRAINLEST TO WHOEVER CAN HELP ME!!!!!
Precalculus: Use Function Notation and Describe Graphs Project
Description
In this project you will use words and function notation to describe the connection between the transformation of a function’s graph and the affect on the function’s equation. Then you will explain how the Point-Slope equation for a line can be explained as a transformation of the parent function
.
Requirements
You may submit a Word document, or Powerpoint file or pdf.
Name your file: Last name first name Use Function Notation and Describe Graphs Project. (My project done in Word would be name “Parker Carla Use Function Notation and Describe Graphs Project.docx”)
Projects that are not named properly will be reset for you to resubmit your project.
Blank projects or irrelevant files will result in the project being reset and the student losing access to auto-progression.
Answer the following questions using words and the appropriate equation from the Transformation Equations Bank.
What must be done to a function’s equation so that its graph is shifted vertically upward?
What must be done to a function’s equation so that its graph is shifted horizontally to the right
What must be done to a function’s equation so that its graph is stretched vertically?
Describe what the graph of looks like.
Explain how the Point-Slope equation, is a transformation of .
Answer:
esult in the project being reset and the student losing access to auto-progression.
Answer the fol
need help right now plz!!
Answer:
[tex]2<p<6[/tex]
Step-by-step explanation:
If it is less than [tex]6[/tex], it must have [tex]p<6[/tex].
If it is greater than [tex]2[/tex], it must have [tex]2<p[/tex].
We can combine these inequalities to get [tex]\boxed{2<p<6}[/tex].
The graph is left as an exercise to the reader.
Let f(x)=-x-5 and g(x)=2x+3. Find the indicated value:
f(4)
Work Shown:
f(x) = -x-5
f(4) = -4-5
f(4) = -9
Explanation: Replace every copy of x with 4. Then use PEMDAS to simplify.
Are lines segment Gl and HK congruent or not?
Answer:
congruent (I am sorry if wrong)
Step-by-step explanation:
GI are 8 distance apart from each other
and so is HK
Use graphing technology to find the range of the function
f(x) = –x^2 – 10x – 27
Hey here is my question. So if you have 20 legos and your sister has 10 legos how many more legos do you have than her? fr.ee points.
Answer:
You would have 10 more legos than your sister.
Step-by-step explanation:
20-10=10
PLS HURRY!!!!!
Identify the prime factorization for 75
A 25x3
B25x 3
C 52x3
Answer:
C 52x3
Step-by-step explanation:
If 1/4 of a gallon is enough for 1/3 of a room, how much paint would you need to paint four rooms?
Answer:
you would use 3/4 of a gallon per room, so you would multiply 3/4 x 4., which equals 3 gallons
The output of a function is 7 more than 2 times the input. Write and solve an equation to find the input when the output is 15
Equation:
Solution:
Answer:
f(x) = 2x + 7
f(15) = 2(15) + 7 = 30 + 7 = 37
Write the word namefor the decimal 31.903
Enter the ratio as a fraction in lowest terms 14 minutes to 18 minutes
Answer:
Step-by-step explanation:
14+18=32
14/32,18/32
7/16,9/16
PLEASE HELP ITS MATH
Answer:
$192
Step-by-step explanation:
It's a proportion question!!
9/432 = 43/x
9x = 432*4
9x = 1,728
Divide 9 on both sides to isolate x.
x = 1,728/9
x = 192
So, Reid's retirement party costs $192.
(I apologize if the answer is wrong!!)
Need help on this question
Answer:
measure of angel VUT is 65°
Step-by-step explanation:
Angel UTP is 115° and to find UTV you subtract 115 from 180 to get 65°. And to find VUT you subtract 65 and 50 from 180 to get 65°
Which fruit stand, A or B, offers a better deal on blueberries
Answer:
Step-by-step explanation:
Answer:BStep-by-step explanation:B cost less money bet has the same
interquartile range 245 297 323 369 388
Please help me answer
Three cell phone towers form a triangle,
APQR. The measure of ZQ is 10° less than the measure of ZP. The measure of ZR
is 5° greater than the measure of ZQ. Which two towers are closest together?
Answer:
answer mga dalog points
Step-by-step explanation:
mga Gago mga mini o
unsa Pana dha
mga hangol og points answer na
An airplane takes 5 hours to travel a distance of 3400 kilometers against the wind. The return trip takes 4 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?
If you are at - 15 on the number line and you wanted to move toward the positive integers, which direction along the number
line would you need to move?
Answer:
To the right
Step-by-step explanation:
The negatives on a number line are on the left side and the positives on the right.
see this as an example:
The number line that you really want to move is the right side. Then, at that point, the right choice is C.
What is a number line?A number line alludes to a straight line in science that has numbers organized at customary stretches or divides along its width. A number line is frequently shown on a level plane and can be delayed toward any path.
On the off chance that you are at - 15 on the number line and you needed to push toward the positive numbers
The number line that you need to move in the right side. Then the correct option is C.
More about the number line link is given below.
https://brainly.com/question/13189025
#SPJ2
An insurance agent earns a base salary of $28,000, a commission of 2% of sales, and receives an additional fee of $9 for each sale of an investment policy. The agent had total sales of $75,000 and 6 investment policies this month. Find the commission and fees earned. (There should be 2 separate answers)
Answer:
$54 for fees
$1500 for commission
$29554 in total
Step-by-step explanation:
They will have $28000 regardless.
The commission is 2% so you multiply 0.02 (which is equivalent to 2%) to $75000, so he earns $1500. He sold 6 sales so he you multiply 6 by $9 and you get $54.
I don't know exactly what your asking but
$54 for fees
$1500 for commission
$29554 in total
can anyone help ?
Fasttt
Answer:
- 3
Step-by-step explanation:
6 - 4x = 6x - 8x + 12
6 - 4x = - 2x + 12
6 - 12 = - 2x + 4x
- 6 = 2x
x = - 6 / 2
x = - 3
Answer:
+3
Step-by-step explanation:
we collect like terms to give us
-4x-6x+8x=12-6
-10x+8x=-6
-2x=-6
divide through by -2 to give us
-2x/-2=-6/-2
x=+3
note that when a negative sign divides another negative sign, it gives us a positive sign which in our case, could be ignored if chosen to
Victor has 2 times as many as trophies as Dean. Together , víctor and Dean have 27 trophies . How many trophies does víctor have?
Subtract polynomials:
(-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
9514 1404 393
Answer:
-5x^4 +6x^3 -x +3
Step-by-step explanation:
First, eliminate parentheses.
(-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
= -4x^3 +5x^2 -x +3 -5x^4 +10x^3 -5x^2
Then collect terms.
= -5x^4 +(-4+10)x^3 +(5 -5)x^2 -x +3
= -5x^4 +6x^3 -x +3
Bakit mahalaga humingi ng tulong sa iba?
Answer: Ang paghanap ng tulong ay binabawasan ang gastos at epekto ng sakit at pinapayagan ang maraming tao na umunlad at umunlad at mag-ambag sa isang mas positibong lipunan. Ang paghanap ng tulong ay dapat, makita, bilang isang positibong hakbang; isa na nagpapabuti sa kalusugan at kabutihan at kaligayahan.
Step-by-step explanation: Pinoy ka? Ako den
Answer:
ayon sa internet, "ang paghingi ng tulong ay binabawasan ang gastos at epekto ng karamdaman at pinapayagan ang mas maraming tao na umunlad at umunlad at mag-ambag sa isang mas positibong lipunan." Sa madaling salita, ang paghihingi ng tulong ay maaaring payagan kang mapalibutan ang iyong sarili sa mga tao na maaaring magpaganda sa amin.
(gumamit ako ng tagasalin. pasensya na kung hindi mo maintindihan!) :(
Step-by-step explanation: