Answer: [tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex].
Step-by-step explanation:
The given function is
[tex]f(x)=\sin(9\ln (x))[/tex]
Using chain rule differentiate w.r.t. x.
[tex]f'(x)=\cos(9\ln (x))\dfrac{d}{dx}(9\ln (x))[/tex] [tex]\left[\because \dfrac{d}{dx}\sin x=\cos x\right][/tex]
[tex]f'(x)=\cos(9\ln (x))\left[9\dfrac{d}{dx}(\ln (x))\right][/tex]
[tex]f'(x)=\cos(9\ln (x))\left[9\times \dfrac{1}{x}\right][/tex] [tex]\left[\because \dfrac{d}{dx}\ln x=\dfrac{1}{x}\right][/tex]
[tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex]
Therefore, [tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex].
Is Nora or Sofia correct? Explain your reasoning.
Answer:
Nora is correct
Step-by-step explanation:
Sophia used an appropriate method for computing the value of the repeating decimal fraction ...
0.1212_12
Close examination of the given decimal fraction shows that it is non-repeating, so is an irrational number. It cannot be represented by the ratio of integers.
Nora is correct in saying Sophia made a mistake.
___
Sophia depended on 100x -x cancelling some part of the fraction, so the result was a finite decimal. For repeating 2-digit fractions, this works well:
[tex]x=0.12\overline{12}\\100x=12.12\overline{12}\\100x-x=12.12\overline{12}-0.12\overline{12}=12\\x=12/99[/tex]
However, the decimal does not repeat, so this does not work:
100x = 12.1121112
100x -x = 12.1121112 -0.121121112 = 11.99099009900099... non-repeating
That is, the decimal part is not cancelled by Sophia's work, as we said above.
write two and six hundreds nineteen thousandths in decimal.
Answer:
Easy .2619
Step-by-step explanation:
hope it helped
Find the equation of the line with slope 3/5 and y-intercept (0,4)
Answer:
10,5
Step-by-step explanation:
Answer:
y=3/5x+4
Step-by-step explanation:
slope intercept form is y=mx+b
m=3/5
b=4
9. What is the angle of rotation for the following figure?
HELP
HELPPP
Answer:
90° im pretty sure is the correct answer
LM is 11x-21 MN is 8x+15
Answer:
If you are asking me to combine the expressions, then we can combine like terms to get 19x-6
Step-by-step explanation:
What are the possible values for p
Ipl = 12
Answer:
Step-by-step explanation:
|p|=12
p=±12
a principal square root is always...
Answer:
a principal square root is always positive
Step-by-step explanation:
When you take a square root of a number, you get a positive and negative number
The principal square root is the positive number
Should the painter use stencil one or stencil two for her project? Why? Explain in terms of rigid transformations.
Answer: The painter should use stencil one for her project because a series of rigid transformations maps stencil one to the original pattern. The shapes are the same because you don’t have to deform stencil one to match the original shape.
Step-by-step explanation:
i just got a 100
(-1/3)-(-9/5) to the lowest term
Answer:
Step-by-step explanation:
-1/3 + 9/5
-3/15 + 27/15
24/15 = 8/5 = 1 3/5
I need help with math can someone please help me
Answer:
133.1
Step-by-step explanation:
Find the unknown angles.
Step-by-step explanation:
70°+70°+a°=180°
a°=180°-140°
a°=40°
p°=70° (vertically opposite angle)
q°=70°(alternate interior angles)
hope it helps
WHICH DECIMALS ARE REPEATING DECIMALS?
A. 0.375
B. 3.44
C. 4.95
Ms. Bailey is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $6 for each child ticket. Ms. Bailey spends $46.00 at the movies. Write and solve an equation to determine the number of child tickets Ms. Bailey purchases.
Please include the Variable, Equation, and the Solution
Answer:
Ms. Bailey purchases 6 children tickets
Step-by-step explanation:
x=number of adult tickets
y=number of children tickets
10x+6y=46
plug in what you know
10(1)+6y=46
10+6y=46
subtract 10 from both sides
6y=36
divide both sides by 6
y=6
6 children tickets
Rafael wrote expressions equivalent to 8 using square roots and cube roots. All of the following could be one of Rafael’s expressions except:
Answer:
it's c
Step-by-step explanation:
Answer:
C.
[tex] \sqrt[3]{64} \times \sqrt[3]{8} [/tex]
8=3/2(9x-6) and explain
Exact Form: 34/27
Mixed Number Form: 1 7/27 (one and seven twenty-sevenths)
Decimal Form: 1.259... (never ending)
Isolate the variable by dividing each side by factors that don't contain the variable.
what is 2*2 please answer this question
Answer:
4
Step-by-step explanation:
Answer:
5-1
Step-by-step explanation:
5x + 3y = 25 & x - 3y = 15.
Answer:
x = 20/3
Step-by-step explanation:
A regulation baseball field measures 90 feet between each base. what is the distance around the bases in meters?
Answer:
27.43 meters in between each base, 109.72 around all the bases.
Step-by-step explanation:
There are 0.3 meters in one foot, so 0.3 x 90= 27.43. 27.43x4=109.72
Donovan wants to earn a 70% in Mr. Mottola's class. He knows he currently has an 67% in the class after 9 grades. What is the minimum grade Donovan would need to earn in order to have a 70%.
Solve
y
= x2 + 23 for x.
O A. x= y - 23
O B. = +Jy + 23
O C. X = +VÝ - 23
D. X = y +23
Answer:
x = ±√(y - 23)
Step-by-step explanation:
y = x^2 + 23 may be solved for x as follows:
Subtract 23 from both sides, to isolate x^2:
x^2 = y - 23
Take the square root of both sides. We get:
x = ±√(y - 23)
Express the ratio AC/DF in simplest form
Answer:
[tex] \frac{n}{28 \: cm}[/tex]
Step-by-step explanation:
AC = n, DF = 28 cm
[tex] \huge \red{ \frac{AC}{DF} }= \purple{ \frac{n}{28 \: cm}} \\ [/tex]
On January 1, 2009, Jessica owed $10,212 to her friend Sam, who was kind enough not to charge Jessica any interest. Each month during 2009, Jessica paid Sam some of the money she owed. If Jessica still owed Sam $6,612 on January 1, 2010, what was the average amount of Jessica's monthly payments?
Answer:
551
Step-by-step explanation:
6612 divided by 12 ( number of months) =551
A school installs a ramp that will rest on a landing 2 feet high. The ramp is 24 feet long. According to building code, the ramp must not be greater than a 5° angle with the ground. What is the angle formed from the ground? Is the school in compliance with the building code? Group of answer choices
85degree; no
3degree; yes
5degree; yes
8degree; no
Hey there! I'm happy to help!
Our angle is facing the 2 foot high landing. This is the opposite side of the angle. We also have the ramp, which is the hypotenuse. The sine is the opposite over the hypotenuse. Since we have these two, we find the [tex]sin^-^1[/tex] to give the the angle.
[tex]sin^-^1(2/24)=4.780191847....[/tex]
This angle is about 5 degrees and it is in compliance with the building code because it is not greater than 5 degrees.
Have a wonderful day! :D
What is 16/6 as a decimal?
A total of 587 tickets were sold for the school play. They were either adult tickets or student tickets. There were 63 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
'325 adult tickets' is the ACTUAL answer
Step-by-step explanation:
I am editing this because I made a mistake beforehand
Let's say that x=adult tickets. If we subtract 63 tickets from adult tickets you get the number of children's tickets, so that means x+(x-63)=587. Or,
2x-63=587
Add 63 to both sides to get 2x=650. Divide it all by 2, and you get 325 adult tickets
Solve for x (see image)
Answer:
x = 18
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
x^2 + 24^2 = ( 12+x)^2
FOIL the right side
x^2 +576 = 144 + 24x + x^2
Subtract x^2 from each side
576 = 144 + 24x
Subtract 144 from each side
576-144 = 24x
432 = 24x
Divide each side by 24
432/24 = 24x/24
18=x
The Perez family is researching the cost of keeping their dog at a kennel during an upcoming vacation. The local kennel allows “Silver” families to pay a rate of $36 per day. For a fee, families can buy a “Gold” membership and will be allowed to board their dogs at a discounted rate as shown in the table. Total Cost, Including Membership Fee, to Board a Dog Type of membership 1 Day 2 Days 7 Days Silver $36 $72 $252 Gold $70 $90 $190 What is the cost of a Gold membership? $20 $34 $50 $70
Answer:
it is 50 dollars
Step-by-step explanation:
Answer:
the answer is c.50
Step-by-step explanation:
i just did the assignment
is -4 greater or lesser than 0
Answer:
-4 is lesser than 0
Step-by-step explanation:
5x + y = 12
Solve for y plz
Answer:
i think 7
Step-by-step explanation:
Answer:
its 7
Step-by-step explanation:
cuz in this you have to move the 5 from the 12 can i have brainleyist
Hi what’s 2+2? Anyone would like to help..?
Answer:
2+2 = 4
Step-by-step explanation:
you see..... •• (2) + ••(2) = •••• (4) << you just need to count them