Use the differential to approximate the expression. Then use a calculator to approximate the quantity, and give the absolute value of the difference in the two results to four decimal places.

53

Answers

Answer 1

9514 1404 393

Answer:

   0.0056

Step-by-step explanation:

  f(x) = √(49 +x)

  f'(x) = 1/(2√(49 +x))

A linear approximation of f(x) expanded about x=0 is ...

  f(x) ≈ f(0) + f'(0)x = 7 +x/(2·7)

Then for √53, we have x=4

  f(4) ≈ 7 +4/14 = 7 2/7 . . . . . approximate √53 using differentials

__

The calculator value of √53 is about 7.280110, so the difference in results is ...

  approx - actual ≈ 7.285714 -7.280110 = 0.005604 ≈ 0.0056


Related Questions

Which of the following is a solution of 4x + 3x = 12?
(a) (4,0)
(b) (3,0)​

Answers

Answer:

B

Step-by-step explanation:

Given equation is 4x+3y = 12

(3,0) is a solution because

LHS =

⇛ 4(3)+3(0)

⇛ 12+0

⇛ 12

⇛ RHS

LHS = RHS

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Which is a solution to the equation y=12-3x A.(4,3) C.(4,0) B.(-4,4) D.(0,4)....

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How many sixes are equal to double 27?

Answers

Answer:

its not sixes theres 4 sixes equal 24 so there is no answer

Step-by-step explanation:

can i have brainliest pls

Answer:

9

Step-by-step explanation:

Double 27 is 54. 6 times 9 is 54

can anyone please tell me how to do this​

Answers

Hello there, this problem is just basic addition, here is what it would look like

[tex]52.31+25.90[/tex]

Solve it and we get 78.21

Amount earned on Saturday = $ 52.31

Amount earned on Sunday = $ 25.90

Total amount earned

= $ 52.31 + $ 25.90

= $ 78.21

Therefore, Tara earned $ 78.21 in total. Hope this helps.

Have a nice day.

...................hyufgr54ed3w4ewfsa67grftgvb hj

Answers

Answer:

yes

Step-by-step explanation:

The bill at a. Restaurant came to 136 dollars and 40 sents the paytrons decided to leave a 15 percent tip what was the total bill including the tip

Answers

Answer:

$ 156.86

Step-by-step explanation:

We have been given that the bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip.

The total bill including tip would 136.40 plus 15% of136.40plus15136.40.

\text{Total bill}=\$136.40+\frac{15}{100}\times \$136.40Total bill=$136.40+10015×$136.40

\text{Total bill}=\$136.40+0.15\times \$136.40Total bill=$136.40+0.15×$136.40

\text{Total bill}=\$136.40+\$20.46Total bill=$136.40+$20.46

\text{Total bill}=\$156.86Total bill=$156.86

Therefore, the total cost of bill including tip would be $156.86.

$136.40 / 15% = $20.46
$136.40 + $20.46 = $156.86

Your answer: $156.86

3 + 6 x (5 + 4) ÷ 3 -7?

Answers

Answer:

Answer: 14

Step-by-step explanation:

[tex]{ \rm{3 + 6 \times (5 + 4) \div 3 - 7}} \\ \\ = { \rm{3 + (6 \times 9) \div 3 - 7}} \\ \\ = { \rm{3 + (54 \div 3) - 7}} \\ \\ = { \rm{14 }}[/tex]

There are 110 students on the team. 100% of them will be off for break. How many students are on break?

Answers

Answer:

110

Step-by-step explanation:

100% of 110 means all of 110, which is just 110.

Are you sure you didn't make a typo here because I'm pretty sure this wouldn't be given on a homework. Just wondering.

HELP
Lyndie is making reduced copies of a photo that measures 25 centimeters in height. She sets the copy machine to an 80% size
reduction.

PART A
Write a percent equation that represents
the relationship of the height of the first
copy to the height of the original photo.

PART B
Lyndie wants to make another copy that
will have a height of 17 cm. The copy
machine settings increase or decrease in
increments of 5%. Which photo should she
make her copy from, the original or her
first copy? Explain.

Answers

Answer: 5+ba*7= 88

Step-by-step explanation:

What point lies on the line described by the equation y+8=4(x-5)

Answers

(7,0) for more info please see attached picture

help me please hhhhhjjkk

Answers

Answer:

x=11

Step-by-step explanation:

This is an exterior angle theorem question.

To answer this question, you must know what the exterior angle theorem is:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. (not my definition)

So first, you need to add the two opposite interior angles.

3x+8+2x+9 is equal to 5x+17.

Then, you make an equation setting 5x+17 equal to the exterior angle.

5x+17 = 8x-16.

To solve this equation, first add 16 on both sides

→5x+33 = 8x

Then, subtract 5x on both sides

→ 33 = 3x

Finally, divide both sides by 3 to get x=11

Evaluate 2/3p + 3 when p = 3/5=

Answers

Answer:

so 2/3X 3/5 + 3

10 + 9 / 15 by LCM method

so 19/15 + 3 = 19/15 + 45/15 = 64/15

hope it helps

Step-by-step explanation:

Answer:

3 2/5

Step-by-step explanation:

2/3 (3/5) + 3

Multiply

6/15 + 3

Reduce fraction

2/5 + 3 = 3 2/5

WILL MARK BRAINLIEST IF ANSWER IS CORRECT

Solve

20÷4+2•5

Answers

Answer: the answer is 8

Step-by-step explanation:

Hope this helped.

hi have a nice day

20

4

+(2)(5)

=15

please help meeeeeeee due in 5 minutessssssssssssss

Answers

Answer:

I think it would be 6. But im not 100% sure

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Mean x¯¯¯ 12.875

Median x˜ 11.5

Mode 15

Range 34

Minimum 6

Maximum 40

Count n 16

Sum 206

Quartiles Quartiles:

Q1 --> 8.5

Q2 --> 11.5

Q3 --> 14.5

Interquartile

Range IQR 6

Outliers 40

i have 45 points...

Charlie has a box with the following letters inside of it. What is the probability that he will draw a "D," put it back, and then draw an "A?" Write your answer as a simplified fraction.

Answers

Answer:

3/7 and 2/7.

Step-by-step explanation:

P(e) = No of favourable outcomes/ Total no of possible outcomes.

total outcomes=3+1+1+2=7.

(1) p(D) = 3/7.

(2)p(A)=2/7

The probability of drawing a D does not affect the probability of drawing A so the events are independent so you just have to multiply the probabilities

There are 3 D out of 7
There are 2 A out of 7(because we put the card back)

3/7 * 2/7 =6/ 49

Simplify the expression completely.

Answers

Answer: B

Step-by-step explanation: Best way to solve this is to first take the square root of 9 which is 3. Notice in the expression there is an x^4 but once the square root of 9x^4 is taken, you get 3x^2. There is a minus sign in the middle, so answer choice C and D are out. Now, there is answer choice A or B. Now we take the square root of 12 but 12 isn't a perfect square root. But, you can think of 2 numbers that when you multiply give you 12 and one of those numbers is a perfect square root. In this case, it would be 4 because 4 times 3 = 12. Square root of 4 is 2. Again, notice there is an x^2. Once the square root of 4 is taken, you are left with 2x and square root of 3. The square root of 3 isn't a perfect square root. But, you can write the expression in the following way:

2x[tex]\sqrt{3}[/tex] - 3[tex]x^{2}[/tex]

Hope this helps.

pls help im being timed

Answers

Answer:

He needs 8 health packs

Step-by-step explanation:

3x + 5 [tex]\geq[/tex] 29

3x [tex]\geq[/tex] 24

x [tex]\geq[/tex] 8

write 6 out of 40 as a fraction a decimal and a percent

Answers

Answer:15% , 0.15 , 6/40 or 3/20

Step-by-step explanation:

The percent is 15% and 15 hundredths is 0.15 and the fraction is just 6/40.

Answer:

3/20, 0.15, 15%

Step-by-step explanation:

Fraction:

6/40 un-simplified

3/20 simplified

Decimal:

0.15

Percentage:

15%

When c=-7, evaluate 4(9/4+5/7c)

Answers

Hey there!

4(9/4 + 5/7c)

= 4(9/4 + 5/7(-7))

= 4(9/4) + 20/7(-7)

= 4(9/4) - 20

= 9 - 20

= -11

Therefore, your answer is: -11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 77 kilograms. A delivery of 6 large boxes and 2 small boxes has a total weight of 104 kilograms. How much does each type of box weigh?

Answers

I don’t know the awnser but have a great day and never give up :)

What is the standard form of the parabola whose vertex form is y= 2(x+4)^2+5
A. y = 2x2 +16x - 37
B. y=-2x² + 4x - 25
C. y = 2x° +16x +37
D. y = 2x² + 4x - 25

Answers

[tex]y = 2(x+4)^2+5\implies y = 2(x+4)(x+4)+5 \\\\\\ y = 2(\stackrel{\mathbb{USING~FOIL}}{x^2+8x+16})+5\implies y= 2x^2+16x+32+5 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = 2x^2+16x+37~\hfill[/tex]

I WILL GIVE BRAINLEST AND 60 POINTS I KNOW ITS NOT ALOT
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.




2. How many times did Melanie run ½ a mile?

Answers

Answer:

Melanie and 2 times ½ a mile

Hopes This helps

The formula p=F/A can be used to relate pressure force and area. Solve the formula for A.

Answers

[tex]P=\dfrac{F}{A}\\\\\implies PA = F\\\\\implies A = \dfrac{F}{P}[/tex]

Graph the equation of the line parallel to 2x−y=6 and passing

through (-3, 1). Show work.

Answers

Answer:

It's a graph, see the image.

Step-by-step explanation:

Use the equation to find the slope. Use the slope and the point to graph the line.

Marissa deposited $3,900 into a savings account. How much will Marissa have in her account after 7 years and 6 months at a yearly simple interest rate of 1.82%

Answers

Marissa wants to know how much she would make using the simple interest calculation.

She will have $4,432.35

Given data

Principal = $3,900

Time = 7 years 6 months = 7.5 years

Rate = 1.82%

I = A - P = $532.35

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 1.82%/100 = 0.0182 per year.

Solving our equation:

A = 3900(1 + (0.0182 × 7.5)) = 4432.35

A = $4,432.35

The total amount accrued, principal plus interest, from simple interest on a principal of $3,900.00 at a rate of 1.82% per year for 7.5 years is $4,432.35.

Learn more about simple interest here:

https://brainly.com/question/20690803

Ahmad gives his friend Juana a lottery ticket for her birthday. The ticket cost Ahmad $1, and the back of the
ticket says, "The overall odds of winning a prize with this ticket are 1 : 50, and the expected return for this
ticket is $0.50.6000000
Ahmad says, "lf 1,000 people each bought one of these tickets, they'd have spent $1,000 in total and get back
about $5,000."
Juana says, "The probability that one of these tickets wins a prize is 0.50, on average."
Whose statement is correct based on the expected value?
Choose 1 answer:
Only Ahmad's
Only Juana's
Both statements are correct.
Neither statement is correct.

Answers

According to the information provided the statement of both people is incorrect (option D)

Ahmad's statement is false because he claims that in the situation where 1000 people spend $ 1000 on lottery tickets they would get back $ 5000. However, the recovery would be $ 500 This statement can be verified by doing the following operation:

0.50 x 1000 = 500

On the other hand, Juana's statement is false because she says that people who buy a lottery ticket have a probability of winning of 0.50 on average. However, the true probability is 0.02. This statement can be checked by doing the following operation:

1 ÷ 50 = 0.02

According to the above, none of the statements of the characters is true.

 

Learn more about mathematics in: https://brainly.com/question/19003099

Answer:

Neither statement is correct

Step-by-step explanation:

Got it right on Khan Academy

NEED NOW PLEASE..........

Answers

Answer: C. -12 - 3 + 9

Step-by-step explanation:

-12 because the fish are 12 m below the ocean.

-3 because the fish swim down.

+9 because the fish swim up.

What is the answer for 3(x+9)-4x=11x-13x+23. Is this true or false statement?

Answers

[tex]3(x+9)-4x=11x-13x+23\\<=>3x+27-4x-11x+13x-23=0\\<=>x+4=0\\<=> x= -4[/tex]

Answer: this's true statement.

ok done. Thank to me :>

3x + 27 - 4x = 11x-13x+23
-x+27 = 2x+23
-x+27 = x + 11.5

What will be the average of the first five
consecutive numbers starting from 11

Answers

Answer:

  13

Step-by-step explanation:

The average of any 5 consecutive numbers is the 3rd one (the middle one of the group). The third consecutive number starting from 11 is 13.

The average of {11, 12, 13, 14, 15} is 13.

A ball is thrown from an initial height of 3 feet with an initial upward velocity of 37 fts. The ball's height h (in feet) after 1 seconds is given by the following.
h= 3+37t-16t^2
Find all values of t for which the ball's height is 23 feet.

Answers

Answer:

t=(37+root89)/32,(37-root89)/32

Step-by-step explanation:

Solve the equation:

23=3+37t-16t^2

How do I do this? It's a modulus question.

Answers

1)
||x|-4|= |x-1|
1st step = separate the equation into 2 possible equations
2nd step = solve the equations
|x|-4= x-1
x= -3/2
Or
|x|-4= - (x-1)
X= 5/2

2)

Do the same
X= -5/2
X= 7/2



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