Answers
[tex]\text{Given that,}\\\\~~~1+ \ln (3xy) = e^{3x-y}\\\\\\\implies \dfrac d{dx} \left[1 + \ln (3xy) \right] = \dfrac{d}{dx} \left(e^{3x-y} \right)\\\\\\\implies \dfrac{1}{3xy} \cdot 3 \dfrac{d}{dx}(xy) = e^{3x-y} \cdot \left(3 - \dfrac{dy}{dx} \right)\\ \\\\\implies \dfrac 1{xy} \left( x \dfrac{dy}{dx} + y \right)= e^{3x-y} \cdot \left(3 - \dfrac{dy}{dx} \right)\\\\\\\implies \dfrac 1y \dfrac{dy}{dx} + \dfrac 1x = 3e^{3x-y}- e^{3x -y} \dfrac{dy}{dx}[/tex]
[tex]\implies \dfrac 1y \dfrac{dy}{dx} + e^{3x-y} \dfrac{dy}{dx} = 3e^{3x-y} - \dfrac 1x\\\\\\\implies \left( \dfrac 1y+ e^{3x-y} \right)\dfrac{dy}{dx} = 3e^{3x-y} - \dfrac 1x\\\\\\\implies \dfrac{dy}{dx}=\dfrac{3 e^{3x-y} -\dfrac 1x}{\dfrac 1y+ e^{3x-y} }\\\\\text{At point}~ (x,y) = (1/3, 1), \text{slope of the tangent line,}\\\\m=\dfrac{dy}{dx} = 0\\\\\text{Hence the equation of tangent line,}\\\\~~~y-1 =0\\\\\implies y=1[/tex]
Related Questions
Use 3.14 as pie to find the circumference
Answers
749.764
(If the question is total area of shape)
Explanation:
Check out my attached work
Hope it helps, let me know if you have any questions!
Have nice rest of your day :)
what is an equation of the line that passes through the points (6,5) and (7,7)
Answers
Answer:
The slope of the line is m = 2.
The y-intercept is (0,7).
The equation of the line in the slope-intercept form is y = 2 x - 7.
Step-by-step explanation:
The slope of a line passing through two points [tex]P = \left(x_{1}, y_{1}\right)[/tex] and [tex]Q = \left(x_{2}, y_{2}\right)[/tex]
is given by [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
We have that [tex]x_{1} = 6[/tex] , [tex]y_{1} = 5y[/tex] , and [tex]y_{2} =7.[/tex]
Plug the given values into the formula for a slope: [tex]m=\frac{7-5}{7-6} =2[/tex].
Now, the y-intercept is [tex]b=y_{1} -mx_{1}[/tex] (or [tex]b =y_{2} -mx_{2}[/tex], the result is the same).
[tex]b=5-(2)*(6)=-7[/tex]
Finally, the equation of the line can be written in the form [tex]y=b+mx[/tex]:
[tex]y=2x-7[/tex]
Answer:
[tex]\Large\boxed{\sf{y=2x-7}}[/tex]Step-by-step explanation:
The slope formula is used to find the equation of the line that passes through the points in this problem.
SLOPE FORMULA:
[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }[/tex]
y₂=7y₁=5x₂=7x₁=6[tex]\Longrightarrow: \sf{\dfrac{7-5}{7-6}=\dfrac{2}{1}=2 }[/tex]
Use the slope-intercept form.
SLOPE-INTERCEPT FORM:
[tex]\Longrightarrow: \sf{Y=MX+B}[/tex]
[tex]\Longrightarrow: \text{The M represents the "slope".}[/tex]
[tex]\Longrightarrow: \text{The B represents the "y-intercept".}[/tex]
y=2x-7Therefore, the slope is 2 and the y-intercept is 7.The correct answer is y=2x-7.I hope this helps. Let me know if you have any questions.
Find the area of the figure.
Answers
129m^2
A= bxh/2
Since I have 2 triangle I'll x 2 to get rid of the ÷ by 2
A= 13x5
= 65
A= bxh
= 8x8
=64
64 + 65= 129
Hope this helps!
Let f(t) ANSWER: 1+ = t² - 1 t+3 Find f'(1)
Answers
Answer:
f(1) = 3
Step-by-step explanation:
f(t) = t² - 1t + 3
we want to find f(1)
all we have to do is replace the t's with 1 and evaluate
f(1) = (1)² - 1(1) + 3
evaluate exponent 1² = 1
f(1) = 1 - 1(1) + 3
multiply
f(1) = 1 - 1 + 3
subtract
f(1) = 3
if z 2 square equal 49 what are the solutions
Answers
z = 7, z = -7
Calculations ↓z² = 49
Take the square root of both sides to find what z equals
z = 7
Is that the only solution? Is 7 the only number that can be multiplied by itself and have a result of 49? No, there's another number. This number is -7.
So the solutions are ↓7, -7
hope helpful ~
Your friend Jenny wants to use a robo-adviser to manage her portfolio. What does this mean?
Answers
Question is in image please help
I will give Brainliest :)
Answers
Answer:
D;the last answer
Step-by-step explanation:
The more negative a fraction or decimal, the lower that actual value.
Therefore since -1 1/5 is the lowest it should go first, and D is the only answer like this! Hope this helps ^^
Answer: -1 [tex]\frac{1}{5}[/tex], -1, 0.25, [tex]\frac{1}{2}[/tex] , 0.75
Step-by-step explanation:
I will turn all of these numbers into numbers that are not fractions since most of the numbers are already this way.
0.75 -> 0.75
-1 -> -1
[tex]\frac{1}{2}[/tex] -> 0.5
-1 [tex]\frac{1}{5}[/tex] -> -1.2
0.25 -> 0.25
First of all, the negative numbers are smaller than the positive numbers. Then, we can order them least to greatest by number.
-1.2, -1, 0.25, 0.5, 0.75
Putting the numbers into what they were originally given as gives us this:
-1 [tex]\frac{1}{5}[/tex], -1, 0.25, [tex]\frac{1}{2}[/tex] , 0.75
The answer is the last option, -1 [tex]\frac{1}{5}[/tex], -1, 0.25, [tex]\frac{1}{2}[/tex] , 0.75.
I AM A LIL BIT CONFUSED HERE CAN SOMEBODY HELP ME
Answers
Answer:
y = x^3 - 3x^2 - 22x +24
Step-by-step explanation:
I got my information from this video, it's very helpful and I'm sure you'll understand how to do these sorts of problems after watching it.
Hope this helps :)
Find a Polynomial Function Given the Zeros and Leading Coefficient (Degree 3)
I realized I can't post the link, but that's the name of it
What expression is equivalent to 5(4x+12)+3x+2
Answers
A loan has an APR of 8%. The maximum that Steve can pay back monthly on a loan is $129.60. He wants the loan for 1 year.
Answers
Answer:
$1,679.62
Step-by-step explanation:
129.60*12=$1,555.20
You then do 1,555.2*.08, and get:124.416
You then add the 2 together to find the amount needed to be paid back.
A delivery company is considering adding another vehicle to its delivery fleet; each vehicle is rented for $350 per day. Assume that the additional vehicle would be capable of delivering 1,750 packages per day and that each package that is delivered brings in $0.35 in revenue. Also assume that adding the delivery vehicle would not affect any other costs.
Answers
Answer:
MRP: 612.5
MRC: 350
Step-by-step explanation:
MRP: 1750 x 0.35/1= 612.5
MRC: cost to rent each vehicle per day
Which graph corresponds to the
equation y = –2x + 3?
A.
B.
C.
D.
Answers
[tex]\frac{2}{1}[/tex]Answer: A.
Step-by-step explanation:
The first graph has a slope of -2/1 (down 2 and over 1). It also has a y-intercept of 3, meaning it crosses the y-axis or vertical axis at 3.
Tiffany was helping her mom cook if they started at 2:30 and it took 2 hours and 45 minutes what time will it be done?
Answers
Answer:5:15
Step-by-step explanation:
2:30+2 hour=4:30
4:30+45=5:15
Brainly needs 20 characters I can’t even get 2
Answers
Answer:
B. the spring has a length of 1 inch when no force is applied
Step-by-step explanation:
Answer:
the last guy who answered is correct
Step-by-step explanation:
sorry I needed to answer for more answers I can get
PLEASE ANSWER FAST I NEED HELP
Part D
? Question
Suppose Coach Bennet selects one senior and one junior as the first two players. The coach then randomly selects
the third player from either group.
Taylor and Jamie are both juniors on the team. If Taylor is selected as one of the first two players, what is the
probability that Jamie will be selected as the third player?
Type in the correct answer in the box. Use numerals instead of words. If necessary, round your answer to the
nearest tenth.
The probability that Jamie will be selected as the third player, given that Taylor is selected as one of the
Answers
The probability that Jamie will be selected as the third player, given that Taylor is selected as one of the is 22%.
ProbabilityLet J represent the event that junior is selected
Let S represent the event that senior is selected
Hence:
Probability when Jamie is selected as the last person
P(JSJ) or P(SJJ)
P(JSJ) =6/14×8/13×5/12
P(JSJ) =10/91
P(SJJ) =8/14×6/13×5/12
P(SJJ) =10/91
P(Jamie selected)=P(JSJ) + P(SJJ)
P(Jamie selected)=10/91+10/91
P(Jamie selected)=20/91
P(Jamie selected)=0.2198×100
P(Jamie selected)=21.98%
P(Jamie selected)=22% (Approximately)
Therefore the probability that Jamie will be selected as the third player, given that Taylor is selected as one of the is 22%.
Learn more about probability here:https://brainly.com/question/27411576
#SPJ1
Answer:
Therefore, the probability of Jamie being selected as the third player, given that Taylor is already selected as one of the first two players, is 8.9%
Step-by-step explanation:
trust me
A random survey found that 6 of the 27 people surveyed prefer blueberry candies. Based on those results, about how many people
prefer blueberry candies from a population of 108 people?
A. 24
B. 18
C. 30
D. 12
Answers
Eva pays a company $53.95 every 8 months to host her website.
How much does Eva pay per month?
How much does Eva pay ever 3 years?
Answers
Answer:
$6.74
$242.78
Step-by-step explanation:
A
$53.95 ÷ 8 = $6.74
B
3 × 12 = 36
36 ÷ 8 = 4.5
4.5 × 53.95 = 242.775
$242.78
What is the length of AC?
Answers
Answer:
Length of AC = 12units.
Step-by-step explanation:
[tex]\sf\large{\star Given:-}[/tex]
Hypotenuse of the triangle = [tex]\sf\pink{10\:units.}[/tex]Height of the triangle = [tex]\sf\pink{8 \: units.}[/tex][tex]\sf\large{\star To\: Find:-}[/tex]
[tex]\rightarrow[/tex] Base of the triangle.
[tex]\sf\large{\star Solution:-}[/tex]
[tex]\rightarrow[/tex]As we know that,
Pythagoras Theorem:
[tex]\sf\blue{Hypotenuse^2\:=\: Height^2+Base^2}[/tex]
So, In triangle ABD by putting the value of hypotenuse and height in this formula we get,
[tex]\rightarrow[/tex][tex]\sf{10^2\:=\: 8^2 + Base^2}[/tex]
[tex]\rightarrow[/tex][tex]\sf{100\:=\: 64 + Base^2}[/tex]
[tex]\rightarrow[/tex][tex]\sf{100-64\:=\: Base^2}[/tex]
[tex]\rightarrow[/tex][tex]\sf{36\:=\: Base^2}[/tex]
[tex]\rightarrow[/tex][tex]\sf{\sqrt{36}\:=\: Base}[/tex]
[tex]\rightarrow[/tex][tex]\sf{6\:=\: Base}[/tex]
Since, it is given that BD is the perpendicular bisector of AC so length of AC will be doubled.
Therefore, length of AC of the given triangle = [tex]\sf\purple{12units.}[/tex]
Teddy says the triangle below cannot be classified because all the sides are different lengths instead correct explain why or why not
Answers
If the triangle has all sides of different lengths, then the triangle is considered scalene, which means it can be classified.
There isn't enough info to know if the triangle is acute, right, or obtuse.
The website for Company A receives 8×10 6 visitors per year. The website for Company B receives 4×10 3 visitors per year. Determine how many times more visitors per year the website for Company A receives than the website for Company B.
Answers
Answer:
2000 times
Step-by-step explanation:
I'm assuming you mean 4*10^3 and 8*10^6.
8*10^6/(4*10^3)
=(8/4)*(10^6/10^3)
=2*(10^3)
=2*1000
=2000 times
How many cubes with side length of 4cm can be packed into a wooden box measuring 32cm by 16cm by 8cm
PLEASE HELP Me!!
Answers
Answer:
64 cubes
Step-by-step explanation:
The volume of wooden box,
→ x = l × b × h
→ x = 32 × 16 × 8
→ [x = 4096 cm³]
The volume of a cube,
→ y = side³
→ y = 4 × 4 × 4
→ [ y = 64 cm³]
Now we have to,
find how many cubes can be packed inside the wooden box.
→ x ÷ y
→ 4096 ÷ 64
→ 64 cubes
Hence, the solution is 64 cubes.
PLEASE HELP ASAP!!
Find the slope and the y-Intercept of the line.
y = 5x - 4
slope: ___
y-intercept: ___
Thank you!!
Answers
Answer:
slope: 5
y-intercept: -4
Below there are graphs of some inverse proportions. What function each one represent?
Answers
Answer:
y = 15/x
Step-by-step explanation:
An inverse proportion has the equation ...
y = k(1/x) . . . . k is the constant of proportionality
__
Solving for k, we find ...
k = xy
The coordinates of the given point can be used to find k:
k = (3)(5) = 15
Then the equation of the graph is ...
y = 15/x
What is the sum?
3 5/
x²-9x+3
Answers
Answer:
9x3 + 3x2 + 35
x2
Step-by-step explanation:
I hope this helped u
4. A backyard pond has 12 sunfish and 30 rainbow shiners. Write the ratio of sunfish to rainbow shiners?
Answers
Answer:
the ratio for the 12 sunfish and the 30 rainbow shiners is 12:30
Step-by-step explanation:
umm i think
Help pls I’m literally so confused TvT
Answers
[tex]x^2 -3x -70\\\\=x^2 -10x +7x -70\\\\=x(x-10)+7(x-10)\\\\=(x+7)(x-10)[/tex]
Answer:
(x - 10)(x + 7).
Step-by-step explanation:
This is a quadratic expression and the factors are of the form (x + a)(x + b).
We have x^2 - 3x - 70.
- to find the values of a and b in this expression we need 2 numbers whose product is -70 and whose sum is -3.
They are -10 and +7 , so the factors are:
(x - 10)(x + 7).
Henry is researching the elephant exhibit at his town's zoo.
Which of the following is a statistical question Henry could ask?
A.
When was the zoo opened?
B.
What was the name of the first elephant in the exhibit?
C.
What is the average weight of the adult elephants in the exhibit?
D.
How many elephants are in the exhibit?
Answers
What is the average weight of the adult elephants in the exhibit? This is the correct statistical question.
What is the statistical questions?Statistical question is that type of question which have more than one possible answers.
The answer of statistical question is the collection of various points of data.
The answer of statistical question depends on variety and situations.
The answer of statistical question may be range . Answer of statistical question are more than one.
What is the average weight of the adult elephants in the exhibit?
This is the correct statistical question.
Learn more about statistical question;
https://brainly.com/question/11253919
#SPJ1
Medical assistants are to receive a 9% increase in wages per hour. If they were making $16.75 an hour, what is the new wage per hour to the nearest cent?
Answers
1675/9=186.11
1675+186.11=1861.11
1861.11/100= $18.61
So… the new rate is $18.61 per hour
A percentage is a way to describe a part of a whole. The new wage per hour to the nearest cent if it is increased by 9% will be $18.26.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the Medical assistants are to receive a 9% increase in wages per hour. While the current wage of Medical assistance is $16.75 an hour.
Therefore, the new wage per hour to the nearest cent will be,
New wage = Old wage + 9% of old wage
= $16.75 + 0.09($16.75)
= $18.26
Hence, the new wage per hour to the nearest cent will be $18.26.
Learn more about Percentages:
https://brainly.com/question/6972121
#SPJ2
Write a multiplication equation for the following model.
Answers
Write an equation that represents each side of the figure. Please I need help ASAP!