25² x 4² square root​

Answers

Answer 1

Answer:

25.317977802344

Step-by-step explanation:

25x25= 625

4x4= 16

625+16= 641

The square root of 641 is 25.317977802344

n this case we are going to 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 place.

Step 1:

Divide the number (641) by 2 to get the first guess for the square root.

First guess = 641/2 = 320.5.

Step 2:

Divide 641 by the previous result. d = 641/320.5 = 2.

Average this value (d) with that of step 1: (2 + 320.5)/2 = 161.25 (new guess).

Error = new guess - previous value = 320.5 - 161.25 = 159.25.

159.25 > 0.01. As error > accuracy, we repeat this step again.

Step 3:

Divide 641 by the previous result. d = 641/161.25 = 3.9751937984.

Average this value (d) with that of step 2: (3.9751937984 + 161.25)/2 = 82.6125968992 (new guess).

Error = new guess - previous value = 161.25 - 82.6125968992 = 78.6374031008.

78.6374031008 > 0.01. As error > accuracy, we repeat this step again.

Step 4:

Divide 641 by the previous result. d = 641/82.6125968992 = 7.7591072555.

Average this value (d) with that of step 3: (7.7591072555 + 82.6125968992)/2 = 45.1858520774 (new guess).

Error = new guess - previous value = 82.6125968992 - 45.1858520774 = 37.4267448218.

37.4267448218 > 0.01. As error > accuracy, we repeat this step again.

Step 5:

Divide 641 by the previous result. d = 641/45.1858520774 = 14.1858562034.

Average this value (d) with that of step 4: (14.1858562034 + 45.1858520774)/2 = 29.6858541404 (new guess).

Error = new guess - previous value = 45.1858520774 - 29.6858541404 = 15.499997937.

15.499997937 > 0.01. As error > accuracy, we repeat this step again.

Step 6:

Divide 641 by the previous result. d = 641/29.6858541404 = 21.5927760397.

Average this value (d) with that of step 5: (21.5927760397 + 29.6858541404)/2 = 25.63931509 (new guess).

Error = new guess - previous value = 29.6858541404 - 25.63931509 = 4.0465390504.

4.0465390504 > 0.01. As error > accuracy, we repeat this step again.

Step 7:

Divide 641 by the previous result. d = 641/25.63931509 = 25.0006678318.

Average this value (d) with that of step 6: (25.0006678318 + 25.63931509)/2 = 25.3199914609 (new guess).

Error = new guess - previous value = 25.63931509 - 25.3199914609 = 0.3193236291.

0.3193236291 > 0.01. As error > accuracy, we repeat this step again.

Step 8:

Divide 641 by the previous result. d = 641/25.3199914609 = 25.3159643039.

Average this value (d) with that of step 7: (25.3159643039 + 25.3199914609)/2 = 25.3179778824 (new guess).

Error = new guess - previous value = 25.3199914609 - 25.3179778824 = 0.0020135785.

0.0020135785 <= 0.01. As error <= accuracy, we stop the iterations and use 25.3179778824 as the square root.

So, we can say that the square root of 641 is 25.31 with an error smaller than 0.01 (in fact the error is 0.0020135785). this means that the first 2 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math. sqrt(641)' is 25.317977802344327.


Related Questions

please help with this algebra ii question

Answers

Answer:

Second Choice

Step-by-step explanation:

The vertex form can be expressed as:

[tex] \displaystyle \large{f(x) = a {(x - h)}^{2} + k}[/tex]

We know that the vertex is (h,k) which we are given (-3,-1). Substitute h = -3 and k = -1 in:

[tex] \displaystyle \large{f(x) = a {(x - ( - 3))}^{2} - 1} \\ \displaystyle \large{f(x) = a {(x + 3)}^{2} - 1}[/tex]

Now we know that the parabola passes through (-2,1). Substitute x = -2 and f(x) = 1 then solve for a.

[tex] \displaystyle \large{1= a {( - 2 + 3)}^{2} - 1} \\ \displaystyle \large{1= a {(1)}^{2} - 1} \\ \displaystyle \large{1= a - 1} \\ \displaystyle \large{1 + 1= a } \\ \displaystyle \large{2 = a}[/tex]

Therefore a = 2.

Hence:-

[tex] \displaystyle \large{f(x) = 2{(x + 3)}^{2} - 1}[/tex]

What is the equation of the following line be sure to scroll down first to see all answer options

Answers

Answer:

b

Step-by-step explanation:

mark me as brainliest have a great day

Just pleasssssssssss help me.

Answers

3/14   2/7 1/2

Step-by-step explanation:

divide all of them seprately to get your decimal amount

The answer is

3/14, 2/7, 1/2

1st you would need to find a common denominator which would be 14.
3/14 =3/14
1/2 = 7/14
2/7 = 4/14
Then you can compare them easier and see that the order is 3/14, 2/7, 1/2

Hope this helps :D

How would I be able to simplify 12/3? Please explain step by step

Answers

Answer:

4/1

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 12 and 3 is 3.

12 ÷ 33 ÷ 3.

Reduced fraction: 41. Therefore, 12/3 simplified to lowest terms is 4/1.

Answer:

i think you divide 12/3 and you get the answer of 4

Step-by-step explanation:

The mean of a soccer team goals is 6 goals after 4 games. If the team scored 5 goals in the first game, 6 goals in the second game and 6 goals in the third game, how many goals did they score at the 4th game?

Answers

Answer:  7 goals

=====================================================

Work Shown:

We have this set of data

[tex]\begin{tabular}{|l|l|}\textbf{game} & \textbf{goals}\\ 1 & 5 \\ 2 & 6 \\ 3 & 6\\ 4 & x \end{tabular}[/tex]

where x is some positive whole number. Add up everything in the second column:

5+6+6+x = x+17

This represents the total number of goals made over the four games.

Divide this over the number of games played (4) and set that equal to the mean of 6. Solve for x.

(x+17)/4 = 6

x+17 = 4*6

x+17 = 24

x = 24-17

x = 7

7 goals were scored in the fourth game.

What is the slope of this line? Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

To find the slope, we will use the slope formula and two points that are on the line. You can choose any two points as long as they are on the line.

Point 1 = (0, -2)

Point 2 = (-2, 0)

Slope-Formula: (y2 - y1) / (x2 - x1)

Now that we know our two points and the slope formula, all that's left to do is plug the points into the formula and simplify.

(0 - - 2) / (-2 - 0)

(2) / (-2)

-1

The slope of the line is -1.

Hope this helps!! :)

Answer: -1

Step-by-step explanation:

-6/6= -1

Can you please Help me?

Answers

Answer:

D. 5i

Step-by-step explanation:

edge 2021

The number of marbles each sister gets when m marbles are shared equally among four sisters x = m/4

Answers

Answer:

m/4

Step-by-step explanation:

a number is ____ by another number if the quotient is a counting number and the remainder is 0.

Answers

A number is divisible by another number if the quotient is a counting number and the remainder is 0.

How to solve 589 divided by 41

Answers

Answer:

14.365

Step-by-step explanation:

do long division or put it in a calculator

​NEED HELP ASAP RIGHT ANSWER ONLY 69 POINTS
In two or more complete sentences, determine the appropriate model for the given data and explain how you made your decision.

(2,−1), (3,0.5), (6,1.5),

Answers

Answer:

A Least Square Regression Line is the best thing to use for this because there is inconsistencies and no direct equation to be able to fill all of these points. They may be outliers and therefore we should use a calculator for a Regression Line to be calculated to find the residual.

Step-by-step explanation:

Sowy about all my questions b-b-but please help with another one?

Answers

Answer:

A

Step-by-step explanation:

count both sides divide by missing pieices

A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold

3. The car dealership sets a goal for each salesperson to sell at least 12 cars per month. The salesperson
achieves this goal every month for the entire year. What is the minimum amount of money the
salesperson earns for the entire year? Show your work.
I

Answers

Answer:

8 vehicles

Step-by-step explanation:

Given: Monthly salary of salesperson is $2400

         Incentive of salesperson is $250 per vehicle sold.

First, lets compute income to earned apart from salary.

∴ Deduct salary from the target amount

$2000 need to be earned only through incentive, which is $250 per vehicle sold.

Now, solving to get number vehicles to be sold to earn $2000 as incentive.

Number of vehicle=

8 vehicles need to be sold by salesperson to get total earning as $4400.

The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 8 minutes. a. What is the probability density function for the time it takes to complete the task? b. What is the probability that it will take a worker less than 4 minutes to complete the task? c. What is the probability that it will take a worker between 6 and 10 minutes to complete the task?

Answers

ounces is In the apothecary system of measurement, equal to one apothecary pound. a) eight O b) 16 c) 12 d) four

I know how to do it just then one’s a bit confusing

Answers

Answer:

208 ft^3

Step-by-step explanation:

Let the plane through the 4 ft X 4ft square at the top of the figure break the figure into 2 boxes, one has dimensions (8-7) by 3 by 4 = 1ft X 3ft X 4ft, and the other has dimensions 7 by 7 by 4 = 7ft X 7ft X 4ft.

They have volumes of (1)(3)(4) = 12 ft^3, and (7)(7)(4) = 196 ft^3, respectively, so the total volume = 12 + 196 = 208 ft^3, the answer.

Given f(x)=3x(to the scnd power)−5x−2. What is the value of f(−2/3)? 1 8/3 3 10/3

Answers

Given:

[tex]f(x)=3x^2-5x-2[/tex]; find f(-2/3)

Answer:

[tex]f(-\frac{2}{3} )=\frac{8}{3}[/tex]

Step-by-step explanation:

1. Insert [tex]-\frac{2}{3} \\[/tex] as X; [tex]f(-\frac{2}{3}) = 3 (-\frac{2}{3} )^2 - 5 (-\frac{2}{3}) - 2[/tex]

2. Solve equation; [tex]f(-\frac{2}{3} )=\frac{8}{3}[/tex]

What will NEVER change?
In a sequence of translations, reflections, and rotations,
what will NEVER change from the pre-image to the
image?
(Select all that apply)
The lengths of the line segments.
T
The position of the object.
The measures of the angles.
The orientation of the object.

Answers

Answer:

Step-by-step explanation:

the lengths of the line segments

What is the value of 7x (3 + x/4) when x = −8?

Answers

Answer:

Third option

Step-by-step explanation:

[tex]7x (3 + \frac{x}{4}) = -56 * (3 + -\frac{8}{4}) = -56 * (3 - 2) = -56 * 1 = -56[/tex]

Select all of the terms that are "like." 1/2 xy x 2 2xy -xy xy 2 2x 2y

Answers

Answer:

not sure about it this one is tuff

PLS PLS PLS HELP ME ILL GIVE 20 points.

Answers

Answer:

if you want to know the x is.

Step-by-step explanation:

(180°-4x)+(180°-6x)+2x=180°

x=22.5°

I need help, how do i solve the equations and get the degree for the circle

Answers

Answer:

D 130º

Step-by-step explanation:

3x-70=x+10

so 2x-70=10

x=40

The answer is 130
3x-70=x+10
3x=x+80
2x=80
X=40

(7x)(2xy) how do I rewrite that as a sum

Answers

This is the answer 14x2y

-7 over 1 3rd written as a fraction is

Answers

Answer: 22/3 I think

sorry if it’s wrong

Answer:

7 1/3

i hope this helps you can do it

wii mark brainlest answer with explanation

Answers

A? It makes the most sense i gues... So sorry if wrong!

round to the nearest ten 7096.88

Answers

It would be 7,100 I believe

Completely Factor the following equations.
a) 3x^3 + 15x^2 + 18x

Answers

Common factor
3x^3 + 15x^2 + 18x

3(x^3+5x^2+6x)
Find one factor
3x(x^2+5x+6)
Factor by grouping
3x(x+2)(x+3)
Solution
3x(x+2)(x+3)

x+2y-z=5
-X-y+2z=-13
2x+y-2z=14

Answers

Answer:

[tex]x+2y-z=5 ...(1)\\ -x-y+2z=-13...(2) \\ 2x+y-2z=14...(3) \\ \\ add \: (2) + (3) \\\boxed{x= 1} \\ 2 \times (1) + (2) \\ x + 3y = - 3 \\ 1 + 3y = - 3 \\ 3y = - 4 \\ \boxed{y = - \frac{4}{3} }\\ solve \: for \: z \\ x + 2y - z = 5 \\ 1-\frac{4}{3}(2)-z=5\\3-8-3z=15\\3z=-20\\\boxed{z = - \frac{20}{3} }[/tex]

Graph the line with slope 1 passing through the point (-3, 1).​

Answers

Answer:

[tex]y = x + 4[/tex]

Step-by-step explanation:

[tex]1 = 1(- 3 )+ b \\ 1 = - 3 + b \\ b = 4 \: \: \: \: y - intercept[/tex]

What is the answer to this equation

Answers

Answer:

-34/45

Step-by-step explanation:

first step you wanna do is Multiply the numbers -1/5- 1 (-2/3)- (5/6)= -1/5 and -5/9 then subtract those two fractions and you get -34/45 since both of the fractions were negative the answer results as a negative aswell

carry out of the indicate operations and simplify 1/4b(x-4)

Answers

Answer:

When putang ina mo one said i hated yepero mahal kita yiee kilig to the bones ang potcha haha

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