Estimate each square root to the nearest hundredth of 32. Show your solution!​

Answers

Answer 1

Answer:

[tex]{ \rm{ \sqrt{32} = \sqrt{2 \times 16} }} \\ \\ = { \rm{ \sqrt{2 \times 4 \times 4} }} \\ \\ = { \rm{ \sqrt{2} \times( \sqrt{4}) {}^{2} }} \\ \\ = { \rm{ \sqrt{2} \times 4 }} \\ \\ = { \rm{4 \sqrt{2} }} \\ \\ { \rm{ \sqrt{32} = 5.656854....}} \\ \\ { \boxed{ \rm{ \sqrt{32} = 5.66 \: }}}[/tex]

Answer 2

9514 1404 393

Answer:

  5.66

Step-by-step explanation:

For an integer x = s² +r, where s and r are also integers, a first approximation of the square root of x will be ...

  y = √x ≈ s +r/(2s+1)

An iterative improvement on the estimate can be had by ...

  y' = s + r/(s +y)

Here, this means a first estimate can be obtained as ...

  32 = 5² +7   ⇒   s = 5, r = 7

  √32 ≈ y1 = s +r/(2s +1) = 5 7/11

Then an iterative improvement will be ...

  y2 = s +r/(s +y1) = 5 +7/(10 7/11) = 5 77/117 ≈ 5.658 ≈ 5.66

_____

Additional comment

The above iterator will add about 1 decimal place for each iteration. The Babylonian method will roughly double the number of good decimal places with each iteration. For an approximate root of p/q, the next iteration using that method would be ...

  p'/q' = (x·q² +p²)/(2pq)

Then our above estimate of 5 7/11 for the root of 32 would be refined to ...

  p'/q' = (32·11² +62²)/(2·11·62) = 7716/1364 = 5 224/341 ≈ 5.65689.... This compares favorably to the first digits of the actual root: 5.65685....


Related Questions

Which property is used in the following: (2.3).5=2.(3.5) ?

Answers

Answer:

Associative property

Step-by-step explanation:

you can group factors in any order and the answer will be the same

The figure shows a block of stone measures 8 cm by 5 cm by 2 cm and has a density of 2.5 g/cm3

what is the volume of the stone?

what is the mass of the stone?

Answers

Step-by-step explanation:

The volume of the stone = 8 × 5 × 2 = 80

Using density = mass / volume

So 2.5 = mass / 80

2.5 × 80 = mass

200 = mass

please give me brainliest answer  

volume:

(8cm×5cm×2cm)=80cm³

I don't know the mass , sorry

2x^2 - y^2+ xy Phân tích đa thức thành nhân tử

Answers

cihfoufiyfoffuutgjkao

3) A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the
ground x seconds after it is thrown is given by f(x)=-16x2 - 4x + 382 How long after the rock is
thrown is it 340 feet from the ground?

Answers

Answer:

1.5 seconds

Step-by-step explanation:

Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:

340 = -16x² - 4x + 382

0 = -16x² - 4x + 42 (Subtract 340 from both sides)

16x² + 4x - 42 = 0  (Multiply entire equation by -1, "flip" equation)

8x² + 2x - 21 = 0    (Divide entire equation by 2)

(4x + 7)(2x - 3) = 0  (Factor LHS)

4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)

4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)

[tex]x = -\frac{7}{4} =-1.75 . or .x= \frac{3}{2} = 1.5[/tex]

x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.

(hop this helps can I pls have brainlist (crown)☺️)

Ms.Jensen surveyed her class and found that 2/3 of her class has a dog.Of those students who have a dog,1/4 also have a cat.What fraction of the students have both?

Sorry im confused:

Answers

Answer:

1/6

Step-by-step explanation:

2/3 of the class has a dog, and 1/4 of the class has a cat. This means that some people will have both a cat and a dog.

You have to find the fraction of students who have both, so you have to multiply 2/3 and 1/4, 2*1 = 2, and 3*4 = 12, so the fraction is 2/12.

2/12 can be simplified to 1/6.

So, the amount of students in the class that have both a cat and a dog are 1/6.

Answer:

The answer is 1/6.

A 5-pound bag of dog food costs $11.25. What is the unit price of the dog food in dollars per pound?

Answers

Answer:

$2.25

Step-by-step explanation:

5 lbs = $11.25

The unit price in this context means the price of a 1-pound bag of dog food so you would divide $11.25 by 5:

$11.25 ÷ 5 = $2.25

Hope this helps!

Answer:

2.25 ($) per pound

Step-by-step explanation:                                                                               11.25 /  5 = 2.25 per pound   Alternative workings we simply divide by 10  to find   11.25 / 10  = 1.125 then multiply by 2                                                      1.125 * 2  = 2.25 ($) per pound

STEP BY STEP what is 8-11

Answers

Answer:

-3

Step-by-step explanation:

You might find it easier to write -(11 - 8), which is -(3), or -3.

Answer:

8-11

Infront of 8 there will be+

so +8-11

- + = - so 8-11=-3

-3 is the answer of 8-11

I was not taught this lesson in class today.

Answers

Answer:

C

Step-by-step explanation:

No slope is given so your slope is 0. Since both have no slope, they are both flat and therefore parallel

Someone plz help me :(

Answers

Answer: 5 : 12

Step-by-step explanation:

the total flower = 5 + 7 = 12

so tulips to total flowers = 5 : 12

please give me a brainliest answer

Answer:

the answer is D

Step-by-step explanation:

hopefully im right

PLEASE ANSWER IN POINT SLOPE FORM

Answers

Answer:

y-4 =-5(x+1)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y-4 = -5(x- -1)

y-4 =-5(x+1)

Answer:

y-4 = -5 (x- (-1))

Step-by-step explanation:

blank 1 = -4

blank 2 = -5

blank 3 = -1

someone plz help jkbb;jkbh n

Answers

Answer:

A

Step-by-step explanation:

Percent go on 1 side

125

----       125% out of 100%

100

35 next to 125% due to the unknown amount of votes on the other side

P goes under 3 and the answer is A

Answer:

A.

Step-by-step explanation:

125% = 35 votes

100% = p

Answer : A

do the proportion and u get

[tex]\frac{125}{100} =\frac{35}{p}[/tex]  

p = 100*35:125 = 3500:125 = 28

Jimmy's Bike Rentals charges a $13 fixed fee plus $7 an
our for renting a bike. Amanda paid $55 to rent a bike. How
hany hours did she pay to have the bike checked out ?

Answers

Answer:

6 hours

Step-by-step explanation:

let the no. of hours  she rent the bike be x

then,

13 + 7*x = 55

13 +  7x = 55

7x = 55 -13

7x = 42

x = 6

equation : 13+7x=55

7x=42

x=6

Amanda paid for 6 hours

this might be a waste of time but. 1-6 :)

Answers

Answer:

1. 6 yd

2. 32 oz

3. 8 fl oz

4. 10560 ft

5. 2.5 ton

6.

Step-by-step explanation:

I can't see the rest of 6

Hel me please!
Find two points from this graph.

Answers

Answer:

-4,-8 : 8,8

Step-by-step explanation:

3/4 of a number 120 What is three-eights of the number? please answer no point scamming i will give you brainiest

Answers

Answer:

60

Step-by-step explanation:

Let the number is x.

3/4 of a number is 120:

3/4x = 120x = 120*4/3 = 160

What is three-eights of the number:

160*3/8 = 60

Evaluate the algebraic expression x + 2y when w = 12, x = 10, y = 5 and z = 9.
A:12
B:17
C:20
D:27

Answers

Answer:

20

Step-by-step explanation:

Plugin x = 10 and y = 5 in the expression.

x + 2y = 10 + 2*5

          = 10 + 10

          = 20

x+2y Plug in the values of x and y
10+2(5)= 10+10
=20 the answer is C

The number of seconds varies directly as the number of minutes. When 240 seconds have passed. 4 minutes have passed. If 420 seconds have passed , how many minutes have passed? ( help pls >.< )

Answers

Answer:

7 minutes.

Step-by-step explanation:

You can simply apply the well known rule if time: 60mins makes 1 hour,

or use proportion;

where x is the value you seek,

4=240

x=420

The relationship between 4 and 249 is 60 so,

420 divided by 60 equals 7 minutes.

Hope this is helpful,

if so please mark brainliest.

7819 rounded to 1 significant figure

Answers

Answer:

8000

Step-by-step explanation:

Find the slope and use the point to write an equation of the line in point slope form.

Answers

Answer:

y - 3 = - 1/4(x + 2)

Step-by-step explanation:

m = - 1/4

Point = (-2,3)

y-intercept = 3 - (- 1/4) (-2)

= 3 - 1/2 = 5/2

y = - 1/4x + 5/2

A figure with coordinates J ( − 12 , 16 ) , K ( − 4 , − 3 ) , L ( − 2 , 16 ) , M ( 1 , 0 ) is dilated by a scale factor of 4 with the origin as the center of dilation. Fill in the coordinates of J ′ of the figure after dilation.

Answers

Answer:

Solve by multiplying a scale factor of 4 to each coordinate

Step-by-step explanation:

If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64)

Dilation of coordinates

Dilation is a transformation technique used to change the size and shape of an object on a xy-plane.

Given the following coordinate point of a figure JKLM:

J (− 12 , 16 ),

K ( − 4 , − 3 )

L ( − 2 , 16 )

M ( 1 , 0 )

If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64).

Learn more on dilation here: https://brainly.com/question/10253650

What is -100 represented in exponents

Answers

>> Exponents

____________

[tex] \: [/tex]

100 in exponent 1 - 10 :

100¹ = 100100² = 10.000100³ = 1.000.000100⁴ = 100.000.000100⁵ = 10.000.000.000100⁶ = 1.000.000.000.000100⁷ = 100.000.000.000.000100⁸ = 10.000.000.000.000.000100⁹ = 1.000.000.000.000.000.000100¹⁰ = 100.000.000.000.000.000.000

what is the perimeter of 10cm length and 8cm width of a rectangle ?

Answers

Answer:

36 cm

Step-by-step explanation:

rectangle perimeter = sum of all the side

10+8+10+8=36 cm

Answer:

Step-by-step explanation:

Perimeter =2(10+8)=36 cm.

[tex]\sf Helppp! \:29=-8x-3[/tex]

Answers

Answer:

29+8x-3=0

Step-by-step explanation:

esto es lo que se esque no se si lo has escrito bien

Answer:

x=-4

Step-by-step explanation:

Switch sides:

−8x−3=29

Add 3 to both sides:

−8x−3+3=29+3

Simplify:

−8x=32

Divide both sides by −8:

−8x/−8 = 32/−8

Simplify again for the result:

x=−4

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]

please help me do this

Answers

Answer:

125

Step-by-step explanation:

add 21 and 34. with that you get 55. then subtract 180 from 55 then get 125

f(x) = 3x3 + 4x2 – 8x - 2
g(x) = 3x - 5
Find (f - g)(x).

Answers

[tex]\displaystyle (f-g)=f(x)-g(x) =3x^3+4x^2-8x-2-(3x-5 )= \\\\ \boxed{3x^3+4x^2-11x+3}[/tex]

What are the values of w and x ? For brainily

Answers

Answer:

w would be like 33 and x would be 45

Answer:

x=66, w=48

Step-by-step explanation:

since this is an isocsles triangle, x and angle j would have to have the same measure, 66 degrees. When you add 66 and 66 together, you can get the sum of angle j and x which is 132. You can subtract 132 from 180 (since all angles of the triangle add up to 180) to get w

180-132=48

so x=66 and w=48

Riley finds a recipe for bubble solution that uses one cup water, 1/4 cup dish soap, and 1 tablespoon corn syrup. She uses 2 cups of dish soap. How much water should she use? Show ur work

HRLP PLZ

Answers

Answer:8

Step-by-step explanation:

PLEASE CAN ANYBODY HELP

Answers

Answer:

it should be 2.9 .

Step-by-step explanation:

What is the value of x

Answers

Answer:

9

Step-by-step explanation:don't use this awnser its wrong

determines by estimate which answer is best.

635•0,67

125 225 325 425

Answers

Answer:

2

Step-by-step explanation:

2

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