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The best estimate for [tex]\sqrt{0.96}[/tex] is 0.98. The correct option is C. 0.98.

Given expression is [tex]\sqrt{0.96}[/tex].

We have to estimate the nearest hundredth value of [tex]\sqrt{0.96}[/tex].

Now we have to first calculate the square root of 0.96 after that we can estimate the nearest hundredth value of it.

For calculating the square root of 0.96 we have various method, but here we use the 'Babylonian Method' to get the square root of any positive number.

We must set an error for the final result.

Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.

Divide the number (0.96) by 2 to get the first guess for the square root . First guess will be [tex]\frac{0.96}{2} =0.48[/tex]

Divide 0.96 by the previous result, [tex]\frac{0.96}{0.48} = 2.[/tex]

Average the value of step 2) with that of step 1:

[tex]\frac{0+0.48}{2} = 1.24[/tex] (new guess).

Now,

[tex]error= new\ guess-previous \ value[/tex]

[tex]error= 1.24-0.48\\error=0.76[/tex]

0.76 > 0.01.

As error > accuracy, we repeat this step again.

Divide 0.96 by the previous result.

[tex]\frac{0.96}{1.24} =0.7741935484[/tex]

Average the above value with that of step 2:

[tex]\frac{(0.7741935484 + 1.24)}{2} = 1.0070967742\ (new \ guess).[/tex]

[tex]Error = new \ guess - previous \ value \\Error=1.24-1.0070967742\\Error= 0.2329032258[/tex]

0.2329032258 > 0.01.

As error > accuracy, we repeat this step again.

Divide 0.96 by the previous result.

[tex]\frac{0.96}{1.0070967742} = 0.9532351057.[/tex]

Average the above value with that of step 3:

[tex]\frac{(0.9532351057 + 1.0070967742)}{2} = 0.98016594\ (new\ guess).[/tex] [tex]Error = 1.0070967742 - 0.98016594 \\Error= 0.0269308342.[/tex]

0.0269308342 > 0.01.

As error > accuracy, we repeat the step again.

Divide 0.96 by the previous result.

[tex]\frac{0.96}{0.98016594} = 0.9794259939.[/tex]

Average the above value with that of step 4:

[tex])\frac{(0.9794259939 + 0.98016594)}{2} = 0.979795967 (\ new \ guess).[/tex] [tex]Error = 0.98016594 - 0.979795967\\Error = 0.000369973.[/tex]

0.000369973 < 0.01.

As error < accuracy, we stop the iterations and use 0.979795967 as the square root of 0.96.

So, we can say that the square root of 0.96 is 0.979 with an error smaller than 0.01 (in fact the error is 0.000369973). this means that the first 3 decimal places are correct.

Since the value of the right side from the hundredth place is greater than 4 so for rounding off we add 1 to the hundredth place.

So the nearest hundredth value of [tex]\sqrt{0.96}[/tex] is 0.98.

Hence the correct option is C. 0.98.

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Answer:10r-54

Step-by-step explanation: you need to distribute following pemdas

The sum of the equation is [tex]9\sqrt{2}[/tex] and it can be determined by using addition and it can be determined by summation rule in the equation.

Equation; [tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]

The sum of the equation.

To determine the sum of the equation following all the steps given below.

The sum of the equation is determined by factorizing the equation,

Then,

The sum of the equation is,

[tex]=\sqrt{8} +3\sqrt{2} +\sqrt{32}\\\\= \sqrt{2\times 2\times2 }+ 3\sqrt{2} +\sqrt{2\times 2\times2 \times 2\times2 }\\\\= 2\sqrt{2} + 3\sqrt{2} + 2\times 2\sqrt{2} \\\\= 2\sqrt{2} + 3\sqrt{2} + 4\sqrt{2} \\\\= 9 \sqrt{2}[/tex]

Hence, The required sum of the equation is [tex]9\sqrt{2}[/tex].

For more details about Addition refer to the link given below.

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Answer:

230

Step-by-step explanation:

23% of 45 = 10.35

10.35 / 4.5 = 2.3

2.3 x 100 = 230

Step-by-step explanation:

it will be equal 230 as in the shown photo

Answer:

Zero-product property.

Step-by-step explanation:

[tex]\text{If}~ ab =0\\\\\text{then}~ a=0~ \text{or}~ b=0[/tex]

Answer:

f(4)=29

f(-2)=-25

x=8

Step-by-step explanation:

a. to find f(4), you need to substitute x with 4...

f(4)=9(4)-7

f(4)=36-7

f(4)=29

b. This is the same for f(-2)

f(-2)=9(-2)-7

f(-2)=-18-7

f(-2)=-25

c. 9x-7=65

      +7    +7 to cancel the 7 out and to isolate the x

9x=72

      divide both sides by 9

x=8

So basically f(8)=65

Answer:

a. f(4) = 29

b. f(-2) = -25

c. x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Terms/Coefficients

Functions

Step-by-step explanation:

Part A + B

Step 1: Define

Identify.

f(x) = 9x - 7

Step 2: Find

f(4)

f(-2)

Part C

Step 1: Define

Identify.

9x - 7 = 65

Step 2: Solve for x

Answer:

[tex]15\sqrt{3}[/tex] inches

Step-by-step explanation:

[tex]2\sqrt{12} +2\sqrt{27} +\sqrt{12}+3\sqrt{3}[/tex]

[tex]2\sqrt{4*3} +2\sqrt{9*3} +\sqrt{4*3} +3\sqrt{3}[/tex]

[tex]4\sqrt{3} +6\sqrt{3} +2\sqrt{3} +3\sqrt{3}[/tex]

[tex]15\sqrt{3}[/tex] inches

Hope this helps!

Answer:

$1.20 per chicken

Step-by-step explanation:

[tex]\frac{money} {chickens}[/tex]

[tex]\frac{18}{15}[/tex]

1.2

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

w = 25

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

[tex]20 r + 60t = 20(r+3t) = 4\cdot 5(r +3t)=4(5r +15t)[/tex]

Answer:

i think probably x∉∅

Step-by-step explanation:

3x-7 = 3x+9

-7 = 9

so x∉∅

Answer:

0 = 16 or No Solution

Step-by-step explanation:

1) Add  7   to both sides of the equation

3x - 7 + 7 = 3x + 9 + 7

2) Simplify

A. Add the numbers

3x = 3x + 9 + 7

B. Add the numbers

3x = 3x + 16

3) Subtract 3x  from both sides of the equation

3x - 3x = 3x + 16 - 3x

4) Simplify

A. Combine like terms

0 = 3x + 16 - 3x

B. Combine like terms

0 = 16

Answer:

1,6,2 and 5

Step-by-step explanation:

(2x/5)² . (1x⁴/4)^-1

=(2²x²/5²) . (4/x⁴)

=4x²/25 × 4/x⁴

= 16/25x²

Answer:

See below

Step-by-step explanation:

[tex]\frac{5}{3}v+4+\frac{1}{3}v=8[/tex]

[tex]2v+4=8[/tex] <-- Resulting equation after first step

[tex]2v=4[/tex]

[tex]v=2[/tex] <-- Actual solution

Answer:

Step-by-step explanation:

ok

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equation:

Solve for w:

Answer:

V/lh

Step-by-step explanation:

Given,

V = lwh

Here we know

V = volume

l = length

w = width

h = height

Now,

On solving for w

V = lwh

V = l × w × h

V/l = w × h

V/l × h = w

V/lh = w

Answer:53

Step-by-step explanation:56-3 =53

La solution:

625 cm^2.

Explication étape par étape:

Si la forme est rectangulaire, elle aura la plus grande superficie possible quand la longueur équivaut à la largeur. Pour avoir un périmètre de 100 cm, cela signifie que chaque côté doit faire 25 cm.

La superficie serait alors de 25 cm x 25 cm = 625 cm^2.

Answer:

AB = 21

Step-by-step explanation:

Tales' theorem

[tex]\frac{12}{14} =\frac{18}{AB}[/tex]

[tex]AB=\frac{(14)(18)}{12}[/tex]

[tex]AB=21[/tex]

Hope this helps

(i)Given that:

AE || BD

AB = ? [Let AB be x]

BC = 3

ED = 12

DC = 4

We know that

By Basic Proportionality Theorem,

AB/BC = ED/DC

On substituting these values in the above formula

⇛ AB / 3 = 12 / 4

On applying cross multiplication then

⇛ x(4) = (12)3

⇛ 4x = 36

Shift the number 4 from LHS to RHS.

⇛ x = 36÷4

⇛ x = 36/4

Therefore, AB = 9

Answer: The value of AB for the given problem is 9.

Similarly,

(ii) Given that:

EB || DC

AE = 14

ED = 12

AB = ? [Let AB be X]

BC = 18

We know that

By Basic Proportionality Theorem,

AE / ED = AB / BC

On substituting these values in the above formula

⇛ 14 / 12 = x / 18

On applying cross multiplication then

⇛ 14(18) = (12)x

⇛ 252 = 12x

Shift the number 252 from LHS to RHS.

⇛ X = 256÷12

⇛ X = 21

Therefore, AB = 21

Answer: The value of AB for the given problem is 21

Additional comment:

Basic Proportionality Theorem

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Answer:

whats the whole question

Step-by-step explanation:

Step-by-step explanation:

just want your ponit hahahaHA

Answer:

y = mx + b is the slope intercept form of writing the equation of a straight line

Step-by-step explanation:

y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is.

Answer:

E. none of the above

Step-by-step explanation:

20 doesnt fit any of these answers

hello there! you did not put any question so i would not be able to answer your question :(

Answer:

option a is the correct answer

Step-by-step explanation:

bye

Answer: 267.402

Step-by-step explanation:

The answer is 267.402 because 217.4 times 1.23 = 267.402.

Answer:

267 mph

Step-by-step explanation:

Multiplication

i hope this helps have a great day :)