Use linear approximation to estimate 1/4.002

Answers

Answer 1

The estimation for 1/4.002 is approximately 0.2499.

Linear approximation involves using the equation of a line to estimate a value close to a given point. In this case, to estimate 1/4.002, we can use the fact that 1/4 is approximately 0.25 and find the equation of the line passing through 1/4 and 1/4.002.

To find the linear approximation, we first determine the slope between the two points, which is the derivative of the function at the known point. Then, we use the point-slope form of a line equation to find the approximation. Rounding to four decimal places, the estimate for 1/4.002 is approximately 0.2499


Related Questions

How is the slope formula related to the definition of slope

Answers

slope is the rise over the run or the rate at which something is changing which is the same as saying the slope is the change(or distance ) in y over the change in x . the slope forumal is y2-y1/x2-x1. directly related to one anotehr 
The formula for slope measures the steepness (or angle) of a line by measuring the rise (y) over the run (x). Slope = Rise/Run.

solve math problem number 2

-3y -7 = 2

Answers

Add 7 to both sides.

-3y = 9

Divide -3 on both sides.

y = -3

Hope this helps!
First, add over the constant -7 to isolate the variable which leaves you with -3y=9. Finally, divide out the -3 which will leave you with your answer: y=-3

How can you check the answer when a division problem has a remainder

Answers

We can still use our multiplication method to check our division; you will multiply the quotient (25) by the divisor (5), and then add ourr emainder to the answer to the multiplication problem, like this: Let's try that one more time.

what is 0.83 ÷ 0.415 show ur work


help me pls

Answers

0.83 ÷ 0.415

Move the decimal point 3 times

830 ÷ 415 = 2
0.83 divided by 0.415=2

In the last election, candidate C received 15,000 fewer votes than candidate B. If a total of 109,000 votes were cast, how many votes did candidate B receive?

Answers

Hello, so let's break this down.

There is a total of 109,000 votes all together.

If you want to find out how much candidate B received, all you need to do is subtract 15,000 from 109,000 which would be 94,000

If you want to make sure that is correct, add candidate B's total votes from candidate C's total votes if it adds up to 209,000 (94,000+15,000 = 209,000).

Hope this helps! =)
Let x be the votes candidate B received.

x - 15,000 = 109,000
Add 15,000 to the other side
x = 124,000

Candidate B received 124,000 votes.

Hope that helped! :)

HOW DO WE TURN DECIMALS INTO FRACTIONS EVERYONE ID GIVING ME THE WRONG ANSWER

Answers

write down the decimal divide it by one. Multiply both top and bottom by 10 for every number after the decimal point for example if there are 2 numbers after the decimal point then use 100, if there are 3 then use 1,000
Step 1: write down the decimal divided by 1

Step 2: multiply both top and bottom by 10 for every number after the decimal point. (For example, of there are 2 numbers after the decimal point, then use 100, if there are 3 then use 1000, etc)

Step 3: simplify the fraction


Hope this helps :)

Kendra is twice as old as Tim. In 10 years, Kendra will be four years older than Tim. How old are Kendra and Tim now?

Answers

kendra is 8 now, tim is 4

Answer: kendra is 8 now, tim is 4

find the lateral area of the pyramid to the nearest whole number.

Answers

I believe the answer is d.


Multiply two and four-fifths negative five and two-thirds .

negative ten and eight-fifteenths
negative fifteen and thirteen-fifteenths
ten and eight-fifteenths
fifteen and thirteen-fifteenths

Answers

Its the second one 100%

2 4/5 times  - 5 2/3 =

14/5 * -17/3 = -238/15 = -15 13/15

 Answer is B

for each equation, find the ordered pair whose x-coordinate is -4.

1. y=18-5x 2. 2x + 3y=4 3. -7 + 6y=10

Answers

Final answer:

To find the ordered pairs with an x-coordinate of -4 for the given equations, substitute -4 for x in the first two equations and solve for y. The resulting ordered pairs are (-4, 38) and (-4, 4). The third equation does not contain x, so no ordered pair can be found for it.

Explanation:

To find the ordered pair whose x-coordinate is -4 for each given equation, we will substitute x with -4 and solve for y.

Equation 1: y = 18 - 5x

Substitute x with -4:

y = 18 - 5(-4) = 18 + 20 = 38

The ordered pair is (-4, 38).

Equation 2: 2x + 3y = 4

Substitute x with -4:

2(-4) + 3y = 4

-8 + 3y = 4

3y = 4 + 8

3y = 12

y = 12 / 3

y = 4

The ordered pair is (-4, 4).

Equation 3: -7 + 6y = 10

This equation does not contain x, therefore we cannot find an ordered pair with x-coordinate -4.

Final answer:

The ordered pairs with an x-coordinate of -4 for each equation are: (-4, 38) for y=18-5x, (-4, 4) for 2x+3y=4, and there is no ordered pair possible for -7+6y=10, as the equation does not contain an x-variable.

Explanation:

To find the ordered pair whose x-coordinate is -4 for each given equation, we substitute x with -4 and solve for y:

For y = 18 - 5x, when x = -4:
  y = 18 - 5(-4)
  y = 18 + 20
  y = 38
The ordered pair is (-4, 38).

For 2x + 3y = 4, when x = -4:
  2(-4) + 3y = 4
  -8 + 3y = 4
  3y = 4 + 8
  3y = 12
  y = 12 / 3
  y = 4
The ordered pair is (-4, 4).

For -7 + 6y = 10, we do not need to substitute x here because it is not present in the equation and no x-coordinate is needed to solve for y. This equation can be solved directly for y by isolating it:
  -7 + 6y = 10
  6y = 10 + 7
  6y = 17
  y = 17 / 6
  y ≈ 2.83
The value of y is approximately 2.83, but since no x-coordinate is provided we cannot create an ordered pair.

Estimate the quotient when 29,376 is divided by 29

Answers

The Quotient would be 1012 so I would just put 1000 if your supposed to estimate.
So to estimate here, I would set 29,376 to 29,000 divided by 29, which would make things a lot easier.

29,000/29 = 1,000

So your estimate is about 1,000.

MATH QUESTION HURRY DOWN BELOW

Answers

dH/dt=-4/5
dH=-4/5dt
H= ∫-4/5dt
H= -4/5t+c
c= 4/5×3= 12/5
so
H=-4/5t+12/5
at first minute i.e T= 1
H= 12/5-4/5
H= 8/5 = 1.6mile

Write 2 addition word problems using 3-digit numbers and solve them using any strategy

Answers

Here’s one.
Matt was gifted $200 from his parents for his birthday. His friend gave him $100. How much money does Matt have now?
200+100=300
Matt has $300.
4+7+3=14
i added 3+7 it gived me 10 and then i added 4 and it gived me 14.

10+42+4=56
I added them all at once.

12 to the sixth power times 12 to the eighth power

Answers

THE ANSWER IS 1.2839185e+15
The answer is 1.283426565e14

Please help what is the area of a square that is 12.4 cm on each side

Answers

To find the area of the square multiply the length by the height.

12.4 × 12.4 = 153.76

Miss Sandy is fencing in her rectangular backyard, which is 3x23x2 feet wide and 4xy+5x3y24xy+5x3y2 feet long. a.) Find the perimeter of Miss Sandy's yard. Show all work. b.) How much fencing should Miss Sandy purchase? Use mathematics to justify your answer.

Answers

3x23x2= 138 feet wide by 28xy + 10x6y + 2 feet long B) purchase 140 feet X (28xy + 10x6y) fencing

A store manager realizes that he has too many jeans in stock. After he finished taking inventory, he has a total of 688 jeans. He decides to reduce the stock by having a buy one get one free sale. That means that every purchase will reduce this inventory by 2 pairs of jeans.

The expression below describes this situation.

688−2x

In this expression, what does the term 2x represent?

A. the number of jeans purchased

B. the total amount of jeans in stock

C. the number of jeans the stock is reduced by from each sale

D. the number of jeans sold with each purchase

Answers

I think the answer is a
I don't know but i hope it will help

Answer:

Option C)        

Step-by-step explanation:

We are given the following information in the question:

Number of jeans in inventory = 688

The store manager decides to reduce the the stock by giving a buy one get one free scheme.  That means that every purchase will reduce this inventory by 2 pairs of jeans.

This can be represented with the help of equation:

[tex]688 - 2x[/tex]

where x is the number of jeans purchased.

In the above expression the term 2x is the total number of jeans sold, where x is the number of jeans sold. Due to buy one one free offer the jeans reduced from the inventory are double the jeans sold.

Thus, 2x in the equation means that every purchase will reduce the inventory by 2 pairs of jeans where x is the number of purchases.

find x from the triangle

Answers

the 3 angles need to equal 180 degrees

 so x = 180 - 74 - 52

x = 54 degrees

if 4 cans of tomato sauce cost $2, what is the unit price for 1 can of tomato sauce? show your work.

Answers

$2 divided by 4 cans equals 0.50 so each can would cost 50 cents.

Analyze the graph.



Which months had rainfall between 10 and 20 inches each?

March, April, and May
May, August, and October
June, July, and September
February, October, and November

Answers

Answer:

C. June, July, September.

Step-by-step explanation:

We have a graph representing the average monthly rainfall.

The graph has plotted the months on the x-axis and the rainfall in inches on y-axis.

We can see that the only months having rainfall between 10 to 20 inches are June, July, September and November.

According to the given options, we get,

The months having rainfall between 10 to 20 inches are June, July and September.

The monthly finance charge on a charge account is 1.5% on the unpaid amount up to $500, and 1% on the unpaid amount over $500. What is the charge on an unpaid amount of $750?

Answers

the charge would be $10

Answer:10

Step-by-step explanation:

at the end of the day vegetables at farm market sell for $2.00 a pound and a bakery costs $3.50. if Charlene wants to buy a basket and shows no more than $10.00 total how many pounds of vegetables can she buy write and solve the inequality

Answers

10=2x+3,50 |-3,50
6,50=2x |:2
3,25=x

10=2x+7 |-7
3=2x |:2
1,5=x

You didnt say how many bakery she wants to buy, so i did one inequality for 1 bakery anderen for the maximum of 2.

Jacob is making spaghetti for the Anderson family reunion. He will use 14 boxes of spaghetti, with a total weight of 168 ounces. What is the rate of boxes of spaghetti to number of ounces?

Answers

Step-by-step explanation:

There are 14 boxes to 168 ounces.

Answer:

There are 14  

✔ boxes to 168 ounces

Step-by-step explanation:

what is The density of an object is the quotient of its mass and its volume as a formula?

Answers

Density=Mass/Volume=M/V

Jenny is in charge of ordering T-shirts for the math club at her school. If she paid $252 for 21 T-shirts, which of the following statements is true?
A. Jenny paid $252 for 21 T-shirts, which is a rate of $21 per T-shirt.

B. Jenny paid $252 for 21 T-shirts, which is a rate of $231 per T-shirt.

C. Jenny paid $252 for 21 T-shirts, which is a rate of $33 per T-shirt.

D. Jenny paid $252 for 21 T-shirts, which is a rate of $12 per T-shirt.

Answers

The answer is D because as she paid $252 for 21 shirts, the equation is $252 divided by 21(shirts) which gives you the price for one shirt, which equals $12
Hope his helps : )

3 Questions!! Please help with all!!!

1. Which of the following is a solution of 12 x - 7 > 6?

2. True or False?
In the set of real numbers, the first number less than -3 is -4.

3. The difference between a number and seven is less than or equal to -3.
Find the possible numbers.

n ≤ -10
n ≥ -10
n ≤ 4
n ≥ 4

Answers

1. You will have to provide the answers.

2. I believe the answer to this is false. You might want to double check with somebody, just in case.

3. n≥4

Hope this helps.

Answer: I took this test awhile back; Hope this helps! Please mark Brainliest! :)

Step-by-step explanation:

1. Which of the following is a solution of 12 x - 7 > 6?  

2

0

1

-1

=2

2. True or False?

In the set of real numbers, the first number less than -3 is -4.

False

3. The difference between a number and seven is less than or equal to -3.

Find the possible numbers.

n ≤ 4

n-7≤-3

n-7+7≤(-3+7=4)

n-7≤4

n-7 is no more than 4.

5. Which number is a perfect cube?
7
25
66
27

Answers

The answer is 27 because the cubed root is 3
The answer is 27 your welcome

Sue uses the expression (8 x 3,000) + (8 x 200) + (8 x 9) to help solve a multiplication problem. What is Sue's multiplication problem?

Answers

25,672 if you take it step by step you will get it

Answer:

(I will say in the explanation)

Step-by-step explanation:

Sue's problem is (8 x 3000) + (8 x 200) + (8 x 9).

First, let's add up the broken apart numbers.

3000+200+9 = 3209

So since we got 3209 as our answer, the multiplication is about 3209! But we don't just stop here. There's a little bit more.

Now, Sue's multiplication expressions broken apart numbers keep multiplying 8! This means 8 is being multiplied by 3209!

So Sue's problem is 8 x 3,209  !

But if you want to multiply it,

    3,209

 x         8

  25,672

This is the answer!

-----------------------------------------------------------------------------------------------------------------

I hope this helped and have a great day! ❤️

The marker cost 1/3 as much as the pen.the pen cost 1/3 as much as the book.the book cost 1/3 as much as the game.the price of the marker is what fraction of the price of the game??

Answers

Game = 1
Book = 1/3
Pen = 1/9
Marker = 1/27
Hope this will help

A bakery packages 868 muffins into a 31 boxes. The same number of muffins are put into each box. How many muffins are in each box?

(Show work)
Please

Answers

You would need to put 868 muffins equally into 31 boxes. So 868 divide by 31= 28 muffins per box.
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