find g'(4) given that f(4)=3 and f'(4) = -5. g(x) = f(x)/x

Answers

Answer 1
g(x) = f(x)/x
g'(x) = (xf'(x) - f(x))/x^2
g'(4) = (4f'(4) - f(4))/4^2 = (4(-5) - 3)/16 = (-20 - 3)/16 = -23/16

Related Questions

What is greater four liters or one gallon

Answers

Here, as we know 1 L = 0.26 gal
so, 4 L = 1.05 gal, which is greater than 1 gal

So, 4 L will be Greater!

Hope this helps!

Answer:

One Gallon

Step-by-step explanation:

One Imperial gallon is 4.54 litres so in that case the gallon is greater but one US gallon is only 3.79 litres so in that case the litres is bigger. ... or 1 gallon =1/. 22 =4.545 liters. so one gallon is greater than 4 liters.

Rasheed needs to save $231. To earn money,he plans to wash cars and charge $12 per car.Write two estimates Rasheed could use to determine how many cars he needs to wash

Answers

231 divided by 12=19.25 - since 12 is the price he decided to charge you would dived the total amount he wants to earn (231) to get the amount of cars needed.
Or
231 divided by N- If he wants to charge more in order to need less cars, or to charge less and need more cars.

There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day. Which linear equation represents the total amount of quarters in the jar after x days?

y = 6x + 2
y = 1/6x + 2
y = 2x + 6
6y = 2x

Answers

Y=2x + 6. ( because 2x is 2 quarters a day and you started with 6

Answer: [tex]y = 2x + 6[/tex]

Step-by-step explanation:

Let x represents the number of days .

Given : There are 6 quarters in a jar.

Jill adds 2 quarters to the jar every day.

Then, the number of quarters added in x days = 2x

Now, the total number of quarters in the jar after x days = 2x+6

Hence, the linear equation represents the total amount of quarters in the jar after x days will be:-

[tex]y = 2x + 6[/tex]

How many pints are in 7.5 gallons?
a. 120 pt
b. 90 pt
c. 60 pt
d. 30 pt

Answers

How many pints are in 7.5 gallons?
60 pints
There are 60 pints in 7.5 gallons!

If adams plain travels at a speed of 375mph in 6hours ,how far did the plane travel

Answers

So if the plane travels at 375 miles per hour, then to get to 6 hours you multiply 375 by 6 which is 2250 miles. Hope this helps!
375 x 6 = 2250.
the plane traveled 2250 miles

hope this helps you

slope -2 and passes through (1, 1)

Answers

In slope intercept form it's y=-2x+1

You have $6,500 to deposit. If you deposit the money in a savings account at your local bank, you will earn 1.45% annual interest and will be able to make ATM withdrawals at your bank's ATMs. If you deposit the money in an online savings account, you will earn 2.25% interest, but you will be charged $4 every time you make an ATM withdrawal. Assuming that your ATM withdrawals do not reduce the amount of interest you earn, how many ATM withdrawals must you make in a year for the local savings account to be a better deal than the online savings account?
a.
5
b.
12
c.
14
d.
10

Answers

The amount earned from the local account must be greater than that of the online account.
Amount from local account = 6,500(1.0145)ⁿ
Amount from online account = 6,500(1.0225)ⁿ - 4x
Where n is the number of years and x is the number of ATM withdrawals.

6,500(1.0145)ⁿ > 6,500(1.0225)ⁿ - 4x
4x > 6,500[(1.0225)ⁿ - (1.0145)ⁿ]; n = 1
x > 13
The number of withdrawals must exceed 13.

The answer is C.

Answer:

C. 14

Step-by-step explanation:

I just answered it correct

Paul has 2/3 as many postcards as shawn . the number of postcards shawn has is 3/5 of the number of postcards tim has. if the three boys have 280 postcards altogether,how many more postcards does tim have than paul ?

Answers

p = ( 2 / 3 )s;
s = ( 3 / 5 )t ;
p + s + t = 280 ;
Then, p =( 2 / 3 )( 3 / 5 )t ;
p = ( 2 / 5 )t;
We solve the equation : ( 2 / 5 )t + ( 3 / 5 )t + t = 280 ;
( 2 / 5 )t + ( 3 / 5 )t + ( 5 / 5 )t = ( 1400 / 5 )t;
10t = 1400 ;
t = 1400 ÷ 10 ;
t = 140 postcards has Tim;
p = ( 2 / 5 ) × 140 = 56 postcards has Paul;
s = ( 3 / 5 ) × 140 = 84 postcards has Shawn ;

Put these numbers in order from least to greatest 11, 7, 8, 3, 6, three, 16, 10, 16

Answers

3, three, 6, 7, 8,10,16,16
3 , 3 , 6 , 7 , 8 , 10 , 11 , 16 , 16

hope this helps you

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f of x equals eight divided by x and g of x equals eight divided by x

Answers

answer
f(x)=8/x, g(x)=8/x
f(g(x)) = f(8/x)=8/8/x=x,
g(f(x)) =g(8/x) =8/8/x=x,
so f(g(x)) = g(f(x)) = x. if f of x equals eight divided by x and g of x equals eight divided by x

Find dy/dx and d2y/dx2. x = et, y = te−t

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below is the solution:

x = e^t 
y = te^-t 

dy/dx = y'/x' 
= (1-t)e^-t/e^t 
= (1-t)e^-2t 

d^2/dx^2 = (x'y"-x"y')/x'^3 
= ((e^t)(t-2)e^-t - (e^t)(1-t)e^-t)/e^3t 
= (2t-3)e^-3t 

or, do it directly 

x = e^t, so 
y = lnx/x 

y' = (1-lnx)/x^2 = (1-t)e^-2t 
y" = (2lnx-3)/x^3 = (2t-3)e^-3t
Final answer:

The question is about finding the first and second derivatives of y with respect to x. The first derivative dy/dx is found to be (1+t)e^-2t, and the second derivative d2y/dx2 is found to be -2e^-2t.

Explanation:

The derivatives are found by differentiating each function with respect to t first, using the product and chain rules, respectively: the derivatives dy/dt and dx/dt are dy/dt = e^-t - te^-t and dx/dt = e^t. Then, dy/dx can be found as (dy/dt)/(dx/dt), and the second derivative d2y/dx2 can be obtained by differentiating dy/dx with respect to x, which will utilize the quotient rule. Specifically, dy/dx = (e^-t(1+t))/(e^t) which simplifies to (1+t)e^-2t, and after a relatively complex differentiation for d2y/dx2, we get -2e^-2t.

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Heather writes the equations below to represent two lines drawn on the coordinate plane.

–6x + 18y = 0
4x – 12y = 20
After applying the linear combination method, Heather arrived at the equation 0 = 60. What conclusion can be drawn about the system of equations?

The equation has no solution; therefore, the system of equations has no solution.
The equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60).
The equation has infinite solutions; therefore, the system of equation as infinite solutions.
The equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).

Answers

According to the represented datum, the correct answer is : equation has no solution; therefore, the system of equations has no solution because it is imposible  when girl should rich  0 = 60. 
I am pretty sure it helps! Do hope you will agree with me.

Answer:

its A if you are taking the unit test

Step-by-step explanation:

Olivia must earn 475 points out of 550 to receive a b in math. so far she had earned 240 test points 85 quiz point and 40 homework points. how many points p must she score on her final exam to earn at least a b in math

Answers

Solution: 240 + 85 + 40 = 365
475 - 365 = 110

Answer: Olivia needs 110 points on her final exam in order to earn at least a B in Math.

Answer: Olivia needs 110 points on her final exam in order to earn at least a B in Math.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

Here, given that,

Olivia must earn 475 points out of 550 to receive a b in math.

so far she had earned 240 test points

85 quiz point

and 40 homework points.

Solution: 240 + 85 + 40 = 365

Now, we get,

475 - 365 = 110

Hence, Answer: Olivia needs 110 points on her final exam in order to earn at least a B in Math.

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How do you write 6 19/25 as a decimal?

Answers

6 19/25 as decimal is 4.56

[tex]\huge\textsf{Hey there!}[/tex]


[tex]\mathsf{6 \dfrac{19}{25}}[/tex]

[tex]\mathsf{= \dfrac{6\times25 + 19}{25}}[/tex]

[tex]\mathsf{= \dfrac{150 + 19}{25}}[/tex]

[tex]\mathsf{= \dfrac{169}{25}}[/tex]

[tex]\mathsf{= 169 \div 25}[/tex]

[tex]\mathsf{= 6.76}[/tex]


[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{6.76}}}\huge\checkmark[/tex]


[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Match Term Definition


Line Segment A) a series of points that extend in two directions without end


Plane B) two lines that intersect at 90° angles


Perpendicular Lines C) lines that lie in the same plane and do not intersect


Line D) a flat surface that extends infinitely and has no thickness


Parallel Lines E) part of a line that has two endpoints

Answers

Answer:

Line segment: E

Plane: D

Perpendicular lines: B

Line: A

Parallel lines: C

Step-by-step explanation:

Final answer:

This middle school mathematics question asks for matches between geometric terms and their definitions. Line segments have two endpoints, planes extend infinitely without thickness, perpendicular lines intersect at 90 degrees, lines extend indefinitely in two directions, and parallel lines never intersect.

Explanation:

In the field of mathematics, particularly in geometry, we often deal with various foundational elements such as lines, line segments, planes, and the relationships between them. To understand these concepts, it is essential to know their definitions and how they relate to each other.

A line segment is best described as a part of a line that has two distinct endpoints. This means a line segment is contained and does not extend infinitely in any direction. An example of this is the edge of a ruler, which begins and ends at specific points. The correct match for a line segment in the provided list is E) part of a line that has two endpoints.

A plane in geometry is a flat, two-dimensional surface that extends infinitely in all directions. It's similar to a vast sheet of paper with no edges. It is defined by at least three noncollinear points and is often represented in drawings as a four-sided figure, but it continues without end. The correct definition for a plane is D) a flat surface that extends infinitely and has no thickness.

Perpendicular lines are two lines that intersect at an angle of 90 degrees. The point where they cross forms right angles, and the two lines are always at the same distance from each other at this point. The definition of perpendicular lines is B) two lines that intersect at 90° angles.

Regarding a line, it is an undefined term in geometry that represents a straight path that extends infinitely in both directions with no thickness. It is comprised of an infinite number of points. A simple description of a line is A) a series of points that extend in two directions without end.

Lastly, parallel lines are lines in the same plane that do not intersect, no matter how far they are extended on either side. This is because they are always the same distance apart, maintaining a consistent separation across their entire length. The correct match for parallel lines is C) lines that lie in the same plane and do not intersect.

Select the inequality that models the problem.

The length of a rectangle is twice its width. If the perimeter of the rectangle is less than 50 meters, what is the greatest width of the rectangle?


2*2w + 2w < 50

2 + 2w < 50

2w*w < 50

2w < 50 ...?

Answers

Here is the answer for the given problem above.
We know that the formula for getting the perimeter is P =2W +2L.
Now, it is defined that length of a rectangle is twice its width so this gives us L=2w. And the perimeters is less than 50 meters so it is P < 50. 
So the answer for this would be 2(2w) + 2w <50. It would be the first option. Hope this answer helps.

Carol sells candles and Yankee Candle. She earns $8.50 per hour plus 6% commission on sales. Last week Carol worked 40 hours. What was Carol’s weekly gross salary if her total sales were $250? *

$590.51
$352.16
$355.00
$340.00

Answers

352.16 this should indefinite like this should be the ace in the game.

Answer:$352.16

Im in a rush so cant add explaination

true or false Volume can be measured in liters or cubic meters.

Answers

The correct answer of the given statement above would be TRUE. It is true that volume can be measured in liters or cubic meters. Liters and cubic meters are units used to measure volume usually related to liquid volume. Hope this answers your question. 

solve for x. round your answer to two decimal places. show your work for full credit. a right triangle is shown with the hypotenuse labeled x. one angle has a measure of thirty degrees, and the opposite leg has a length of ten.

Answers

I hope this helps you

The value of x is 20 when right triangle is with the hypotenuse labeled x , one angle has a measure of thirty degrees, and the opposite leg has a length of ten.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Right ∆ with Hypotenuse is x, Opposite is 10

Reference angle  = 30°.

We need to find the value of x

Since we are given a reference angle with opposite length, and we are to find the hypotenuse length, x, apply the following trigonometric ratios formula:

sin(theta)=opposite side/hypotenuse

Plug in the values into the equation

sin 30 = 10/x

1/2=10/x

Apply cross multiplication

x=20

Hence, the value of x is 20 when right triangle is with the hypotenuse labeled x , one angle has a measure of thirty degrees, and the opposite leg has a length of ten.

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is 48/72 and 6/9 Proportional or Nonproportional

Answers

I hope this helps you

The fractions (48/72) and (6/9) are proportional as, (8/8)(6/9) is equal to (48/72).

What are ratio and proportion?

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, A fraction 48/72.

Now, If we simplify the fraction by factoring out some common terms we'll have,

24/36.

= 12/18.

= 6/9.

So, They are proportional.

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Sixteen is 64% of what number?

A.12
B.25
C.32
D.48

Answers

B. 25

16 divided by 0.64 (the percentage as a decimal) = 25
 answer is B.25 because 16 divided by 64% is 25 i hope this helps

What is the total interest on a ten-year. 6.1% loan with a principal of $32,000?

Answers

Final answer:

The total interest on a ten-year, 6.1% loan with a principal of $32,000 is $19,520.

Explanation:

To find the total interest, we need to use the formula:

Interest = Principal × Rate × Time

Given that the principal is $32,000, the interest rate is 6.1%, and the time is 10 years, we can substitute these values into the formula to calculate the total interest:

Principal: $32,000

Rate: 6.1%

Time: 10 years

Interest = $32,000 × 0.061 × 10 = $19,520

Therefore, the total interest on a ten-year, 6.1% loan with a principal of $32,000 is $19,520.

help?

I don't want the answer, merely step by step instructions on how to solve it! Thanks x

Answers

It is simply asking you which  one increased the most from its last interval.

Answer : 4 | 2006 - 2012

From 1898 - 1971 it increased by 5

1971 - 1985 increased by 8

1985 - 2006 it increases by 10

2006 - 2012 it increased by 11 ( this is the answer because it increased the                                                         most  compared to the others)

Hector wrote the following proof for his geometry homework for the given problem:

Statements Reasons
segment LN is congruent to segment NP Given
∠1 ≅ ∠2 Given
∠N ≅ ∠N Reflexive Property
ΔLNO ≅ ΔPNM Angle-Angle-Side Postulate
∠NLO ≅ ∠NPM


Which of the following completes Hector's proof?

Angle Addition Postulate
Converse of Corresponding Angles Postulate
Corresponding Parts of Congruent Triangles Are Congruent
Triangle Proportionality Theorem

Answers

Answer:

∠ NLO ≅ ∠ NPM Corresponding Parts of Congruent Triangles Are Congruent

Step-by-step explanation:

It's on my chart on the test this is 100% right

Final answer:

Hector used the Angle-Angle-Side Postulate to show congruency between two triangles. Therefore, the corresponding angles are congruent with the CPCTC principle. Thus, option 3 is correct.

Explanation:

Hector claims that ΔLNO ≅ ΔPNM is based on the Angle-Angle-Side Postulate.

Since the triangles are congruent, their corresponding parts must also be congruent.

Therefore, the statement that ∠NLO ≅ ∠NPM is supported by the principle that Corresponding Parts of Congruent Triangles Are Congruent (CPCTC).

Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing ounces. Robin’s basket contains 6 apples, each weighing ounces. Whose basket is heavier and by how much?

Answers

Final answer:

Robin's basket is heavier than Ted's basket by 2 ounces.

Explanation:

To determine whose basket is heavier, we need to find the total weight of each basket.

Ted's basket contains 5 apples, each weighing 8 ounces. Therefore, the total weight of Ted's basket is 5 * 8 = 40 ounces.

Robin's basket contains 6 apples, each weighing 7 ounces. Therefore, the total weight of Robin's basket is 6 * 7 = 42 ounces.

Since Robin's basket weighs 42 ounces and Ted's basket weighs 40 ounces, Robin's basket is heavier by 2 ounces.

Which fraction is equivalent to 2/6?

Answers

1/3 is equivalent to 2/6.

lim x->1 (x^n-1)/(x^m-1) =?

Answers

please read the attached file

answer that for me please i am very confused

Answers

I think that the answer might be C as well

Solve for the equation. u + 3.5 = 5

Answers

Subtract 3.5 from each side of the equal sign. u = 1.5

Multiply.
Express your answer as a simple fraction or improper fraction.

7 · 3/4 = n

Answers

n=21 over 4 You solve for n by simplifying both sides of the equation, then isolating the variable.
7*3/4 = 5 1/4. 5 1/4 as an improper fraction is 21/4. To find the improper version, Multiply 5*4 and you get 20. Add 20+1 and you get 21. Keep the Denominator (or the bottom number) the same, and you have 21/4.
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write 26/20 as a percent Y=mx 6. can you solve for m Which of the following is considered the least harmful to the body? need help quick, answer all please.How did the views of Native Americans and Europeans differ in terms of property ownership? A. Native Americans believed that land ownership could be passed down only within the family; Europeans did not. B. Native Americans believed land could be owned and sold by individuals; Europeans considered most land to be common ground for all to use. C. Native Americans considered most land to be common ground for all to use, while Europe's wealthiest owned most of the available land. D. Native Americans and Europeans had similar views on property ownership. What was the name of the series of laws put in place to encourage the 13 English colonies to trade with England? A. The Navigation Acts B. Habeas Corpus C. The English Colony Laws D. The Trade Acts Which of the following documents granted rights to nobles in England, limiting the king's ability to tax them? A. The Constitution B. The Magna Carta C. The Declaration of Independence D. The Declaration of Sentiments What was the Virginia House of Burgesses? A. An inn that catered to sailors who would soon be returning to England B. The most prosperous trading house in the new settlement of Jamestown C. The first representative body in colonial America, which allowed male landowners a say in colonial government D. A governmental house set up by the king to directly rule the colony of VirginiaWhy did the Middle colonies have such a diverse European population? A. The Middle colonies had a policy of religious toleration. B. The king set limits on how many people from each country could settle in the Middle colonies. C. The Middle colonies had the richest silver mines, which attracted people from all over Europe. D. The Middle colonies were the closest to Europe of the American colonies. A scientist wants to test how much of a base can be added to a solution before the pH of the solution changes to above a certain point. The starting pH of the solution is 7.0, and the scientist wants to know when the pH of the solution changes to above 8.0.Which pH indicator should the scientist use? A.Methyl yellow, which changes from yellow to red around a pH of 4.0 B.Congo red, which changes from red to violet around a pH of 5.0 C.Alizarin yellow R, which changes from yellow to red around a pH of 10.2 D.Phenolphthalein, which changes from colorless to purple around a pH of 8.3 A local hamburger shop sold a combined total of 510 hamburgers and cheeseburgers on Saturday. There were 60 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday? An aristocracy,middle class, and slaves are examples of what kind of structure? A right prism has a base in the shape of an octagon. The side length of the octagon is 4 inches. The length of the apothem is 4.83 inches. The height of the prism is 12 inches. What is the volume of the prism? Round your answer to the nearest whole number. cubic inches Some fruit flies are born with curly wings which makes them unable to fly. It has been shown that curly words are caused by a dominant gene which can be represented by the symbol W, while the recessive normal wing gene is represented by the symbol w. If a parent fly with the genotype WW is crossed with a parent of the genotype Ww, what percentage the offspring will have curly wings? Why did craft guilds form in the Middle Ages?To eliminate the growing number of merchant guilds in European townsTo address religious and political corruption To eliminate competiton between artisansto provide structure and support for artisans who shared a trade how was percent used to solve real-world problems A submarine changed its depth by -24 ft each minute in 6 min. What was the total change in depth at the end of the 6 min Which of the following is man-made and is used to store water for drinking or irrigation? A. fault B. reservoir C. strait D. canal 3x + 2y = 2-2x + y = 8 Solve the system of equations. The turn, also known as the _______________ is the point in the sonnet that offers a change in tone or solution to the problem that has been presentedoctavemetervoltatone Blano occurs when the effect of one drug is enhanced by the presence of another drug Third party politicians do not have any significant impact on federal level elections.(Points : 1) True False city a populatuon is 15,000 city b population is 12,000 city a is what percent larger than city b Nosotros __________ en la playa 1. Read the following sentences from "Day of the Butterfly.""I did not know what to do. I could not afford to be seen walking with her, and I did not even want to - but on the other hand, the flattery of those humble, hopeful turnings was not lost on me. A role was shaping for me that i could not resist playing."Which of the following best describes the speaker's tone? (1 point)A. troubled but intriguedB. friendly and outgoingC. pleased but annoyedD. hesitant and shy Steam Workshop Downloader