Answers
9514 1404 393
Answer:
10.49
Step-by-step explanation:
Since we know 110 = 10² +10, we can make a first approximation to the root as ...
√10 ≈ 10 +10/21 . . . . . where 21 = 1 + 2×integer portion of root
This is a little outside the desired approximation accuracy, so we need to refine the estimate. There are a couple of simple ways to do this.
One of the best is to use the Babylonian method: average this value with the value obtained by dividing 110 by it.
((220/21) + (110/(220/21)))/2 = 110/21 +21/4 = 881/84 ≈ 10.49
An approximation of √110 accurate to hundredths is 10.49.
__
The other simple way to refine the root estimate is to carry the continued fraction approximation to one more level.
For n = s² +r, the first approximation is ...
√n = s +r/(2s+1)
An iterated approximation is ...
s + r/(s +(s +r/(2s+1)))
The adds 's' to the approximate root to make the new fraction denominator.
For this root, the refined approximation is ...
√110 ≈ 10 + 10/(10 +(10 +10/21)) = 10 +10/(430/21) = 10 +21/43 ≈ 10.49
_____
Additional comment
Any square root can be represented as a repeating continued fraction.
[tex]\displaystyle\sqrt{n}=\sqrt{s^2+r}\approx s+\cfrac{r}{2s+\cfrac{r}{2s+\dots}}[/tex]
If "f" represents the fractional part of the root, it can be refined by the iteration ...
[tex]f'=\dfrac{r}{2s+f}[/tex]
__
The above continued fraction iteration adds 1+ good decimal places to the root with each iteration. The Babylonian method described above doubles the number of good decimal places with each iteration. It very quickly converges to a root limited only by the precision available in your calculator.
Related Questions
addison had 560 blue marbles and 279 red marbes . How many fewer red marbles does she have then blue
Answers
Answer:
281
Step-by-step explanation:
9514 1404 393
Answer:
281
Step-by-step explanation:
The difference between the numbers of marbles is found by subtraction.
560 -279 = 281
Addison has 281 fewer red marbles than blue.
5 is 10% of what plz i need help
Answers
Answer:
50
Step-by-step explanation:
Mrs. Salcido cut a small birthday cake into 6 equal pieces for 6 children one child was not hungry, so she gave the birthday boy a piece. draw and label a tape diagram to show how much each of the 5 children receive.
Answers
Answer: Answer below.
Step-by-step explanation:
Because one child was not hungry and the cake was cut into 6 equal pieces, this mean one person got 2/6 or 1/3 of the cake and the rest got 1/6 other than the child who was not hungry. I can't draw this but you want to draw a child with 2 equal slices of the cake, one with no slices, and 4 more with 1/6 slices of the cake. Sorry I couldn't draw it, but hope this helps!
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100100100 pieces of sushi in total.
Sofia had already ordered and paid for 242424 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 121212 pieces and costs \$8$8dollar sign, 8.
Let RRR represent the number of additional rolls that Sofia orders.
1) Which inequality describes this scenario?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
12+24R \leq 10012+24R≤10012, plus, 24, R, is less than or equal to, 100
(Choice B, Checked)
B
12+24R \geq 10012+24R≥10012, plus, 24, R, is greater than or equal to, 100
(Choice C)
C
24+12R \leq 10024+12R≤10024, plus, 12, R, is less than or equal to, 100
(Choice D)
D
24+12R \geq 10024+12R≥10024, plus, 12, R, is greater than or equal to,
Answers
Inequalities are used to represent unequal expressions.
The inequality is [tex]24 + 8R \ge 100[/tex]
The given parameters are:
[tex]Paid = 24[/tex]
[tex]Rolls = 12[/tex]
[tex]Cost = 8[/tex] --- the unit cost per roll.
Assume the number of additional roll is R.
So, the total number of sushi is:
[tex]Total=Paid + Cost \times R[/tex]
This gives
[tex]Total=24 + 8\times R[/tex]
Multiply 8 and R
[tex]Total=24 + 8R[/tex]
The sushi needed is at least 100.
This implies that:
[tex]Total \ge 100[/tex]
So, we have:
[tex]24 + 8R \ge 100[/tex]
Hence, the inequality is [tex]24 + 8R \ge 100[/tex]
Read more about inequalities at:
https://brainly.com/question/18881247
Add 10% of 300 to 50% of 20
Answers
Answer:
40
Step-by-step explanation:
10% of 300 = 300/10 = 30
50% of 20 = 20/2 = 10
30+10=40
Which mixed number is represented by the shaded
area?
0 1 1/4
0 1 3/4
0 2 1/4
0 2 3/4
Hurry up plz I’m being timed
Answers
Explanation: count all the orange boxes, the one is completely full which is all orange which is 1 and then there’s only 1 box filled on the second one
Hope this helps!
the answer to the question is 11/4
Testing a conjecture
What is the distance between -5 and 2?
units
So what do you think the answer would be
Answers
Answer:
the answer is 7
Step-by-step explanation:
This table represents the number of pounds, p, a puppy grows after w, weeks.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
slope=−94, y-intercept=−0.8
slope=−49, y-intercept = 2
slope=49, y-intercept=−0.8
slope=94, y-intercept = 2
Weeks, w Weight in pounds, p
0 2
2 6.5
4 11
6 15.5 help plz
Answers
Answer:
the answer is slope=94, y-intercept = 2
Step-by-step explanation:
i took the test
George wants to write the number “fifteen thousandths” in standard form. Explain to him how he would do this. Be sure to name the places his digits will go in. What is “fifteen thousandths” in standard form?
Answers
Answer:
0.015
Step-by-step explanation:
He would have to take 15 and put the decimal point 4 places to the left of the number.
If a value has thousandths, it goes 4 places to the left, hundredths goes 3 places to the left, tenths goes 2 places to the left and ones goes 1 place to the left.
The standard form is 10,000 + 5000.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Fifteen thousandths
This can be written as,
= 15,000
It can be expanded as,
= 10,000 + 5,000
= 1 ten thousands + 5 thousands
Thus,
The standard form is 10,000 + 5000.
Learn more about expressions here:
https://brainly.com/question/3118662
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What is 2x=6 pls answer fasttt
Answers
Answer:
×=6/2=3
Step-by-step explanation:
Graph the function below, to estimate the practical domain of the function.
=−0.0150912++6
A. 0≤≤71.5
B. 0≥≥71.5
Answers
The problem 7,291 ÷ 19 is solved below using partial quotients. Identify what partial quotient was used in each step. Then, identify your final quotient.
Seven thousand two hundred ninety one minus five thousand seven hundred equals one thousand five hundred ninety one minus one thousand five hundred twenty equals seventy one minus fifty seven equals fourteen. Arrows pointing to step one, two, and three. You can not make anymore groups of nineteen. What is left becomes your remainder ill give brainliest
Answers
Using the partial quotient method, it is found that:
The partial quotients used in each step are as follows: 300, 80, The final quotient is of: 383.Partial quotient methodWhen division is done applying the partial quotient method, consecutive subtractions are done with n groups of the divisor.
Each partial quotient is the number of groups, and the final quotient is the sum of the partial quotients.
In this problem, the divisor is as follows;
19.
The first subtraction is by 5700, which is 5700/19 = 300 groups of 19, hence the first partial quotient is of 300.
The second subtraction is by 1520, which is 1520/19 = 80 groups of 19, hence the second partial quotient is of 80.
The third subtraction is by 57, which is 57/19 = 3 groups of 19, hence the third partial quotient is of 3.
Then the final quotient is given as follows:
300 + 80 + 3 = 383.
Missing InformationThe subtractions are given by the image at the end of the answer.
More can be learned about the partial quotient method at https://brainly.com/question/2059458
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how many 3/4 are in 11/4
Answers
Answer:
11
1
11 over 1
Step-by-step explanation:
A store sells six cupcakes for $7. How much do 18 cupcakes cost?
Answers
Answer:
21 cupcakes
Step-by-step explanation:
6 = $7
18 = 6 x 3
18 = 7 x 3
18 = $21
Answer:
21
Step-by-step explanation:
We can use proportions to solve
6 cupcakes 18 cupcakes
------------------- = -----------------
7 dollars x dollars
Using cross products
6x = 7* 18
6x =126
Divide by 6
6x/6 =126/6
x =21
4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
f(x) = 6x2 + x − 12
A. linear function; linear term: x; constant term: −12
B. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12
C. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
D. linear function; linear term: 6x2; constant term: −12
Answers
9514 1404 393
Answer:
C. quadratic function; quadratic term: 6x^2; linear term: x; constant term: −12
Step-by-step explanation:
A function is "quadratic" when the degree (exponent) of the highest-degree term is 2. The "quadratic" term is the one with degree 2.
The "linear" term is the one that has degree 1.
The "constant" term has no variable.
In the quadratic function ...
f(x) = 6x^2 +x -12
the quadratic term is 6x^2
the linear term is x
the constant is -12
Answer: The answer is either letter B or letter C
C. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
Step-by-step explanation:
Find the degree of the function to determine if linear. f ( x ) = 6 x 2 + x − 12 is not a linear function
Nothing further can be done with this topic. Please check the expression entered or try another topic. f ( x ) = 6 x 2 + x − 12
33% of what number is 1.45? Round to the nearest tenth.
Answers
Take the unknown number as 'y'.
=》33% = 33/100
=》1.45 = 145/100
33/100 × y = 1.45
33/100 × y = 145/100
33y = 145/100 × 100/1
33y = 145
y = 145/33
y = 4.39
______
RainbowSalt2222 ☔
4,39
I'm sorry if I'm wrong
what 5 + 5- just asnwer pls
Answers
Answer:
5+5=10
but if you mean
5+-5 then that = 0
Step-by-step explanation:
Question is in picture
Drag and drop the steps in order to correctly complete the proof
Answers
9514 1404 393
Explanation:
The correct order of the steps is ...
(Given)(Definition of supplementary)(Substitution)(Subtraction ...)(Definition of congruent angles)A proof always starts with "given". It always ends with a statement of what you have proved.
To fill in the sequence between these, it helps to think about what the relationships are and why you can conclude that the theorem is correct.
solve pls brainliest
Answers
Answer:
Mixed number: 8.72=8 72/100
Improper fraction: 8.72= 872/100
Step-by-step explanation:
8 is in the ones place, 7 is in the tenths place, and 2 is in the hundreths place, which makes 8.72. In fractions, that would be 8 wholes, and 72/100, which is 8 72/100. After that, you can turn it into an improper fraction by doing 8x100, which is 800, then you add 72, which is 872. That makes 872 the numerator, and 100 the denominator, which makes 872/100.
Btw (I didn't simplify, as the problem states against it!)
Use the ALEKS calculator to write 2/63 as a percentage.
Round your answer to the nearest tenth of a percent.
Answers
Answer:
3.2%
Step-by-step explanation:
2 / 63 = 0.031746031746
0.031746031746 x 100 = 3.1746031746 and round
Whic
a sqy
While making pecan pie, Monica was
reading about pecan trees. The average
width of a pecan tree trunk is 18 decimeters.
How many centimeters is this? (1 decimeter
10 centimeters)
-
(
Fraction Fun Friday
fun aith fr
Answers
Answer: 180 cm
Step-by-step explanation: 1 decimeter = 10 centimeter
18 dm = 10 * 18 cm
18 dm = 180 cm
Would appreciate brainly <3
Pls someone help, and fast
Answers
Answer:
So for Shop A 10, a pack of 10 pens is going to be 2.30. To get to 70 pens we must multiply
7x2.30
=$16.10
For Shop B you must first divide
70 divided by 5 = 14 packs of pens in total, divide 14 by 2 because half of the packs will be half off.
so, 7x1.60
=$11.20- then divide 1.60 by 2 = $0.80,
then multiply by 7
=$5.60, then add the the two numbers for Shop B,
$11.20 + $5.60= 16.80
Step-by-step explanation:
So if you buy pens from Shop A you will spend $16.10, If your buying pens for Shop B you will spend $16.80
The difference from buying pens from Shop A and Shop B would be $0.70
HELPPPPPP PLEASEEEEEEE
Answers
Answer:
It has been a long time since I was even thinking about this, but I got 33 for the first one and I know how you feel, stay strong, you have a long time until you are finished
Step-by-step explanation:
(this might and probobly is wrong)
The length of a rectangular rug is 6 ft. more than the width. The perimeter is 40ft. find the length and the width of the rug.
Answers
length = 13ft
Length is 13ft
Solve for x. Round your answer to the nearest tenth.
Answers
Answer:
-x + 20
Step-by-step explanation:
13-x+3+4
13 - x + 3 - 3 = 4 + 3
13 - x = 7
= -x + 7 + 13
= -x + 20
#Carry on Learningcosθ(tanθ + cotθ) =
• cscθ
• secθ
• cos^2θ
• 1
Answers
Answer:
ayo i think is ufo trying to communicate hey alien we come in peace
Step-by-step explanation:
[tex]\cos \theta(\tan \theta + \cot \theta)\\\\=\cos \theta \tan \theta + \cos \theta \cot \theta \\\\=\cos \theta \left (\dfrac{\sin \theta}{\cos \theta} \right)+ \cos \theta \left(\dfrac{\cos \theta}{\sin \theta} \right)\\\\\\=\sin \theta + \dfrac{\cos^2 \theta}{\sin \theta}\\\\=\dfrac{\sin^2 \theta + \cos^2 \theta}{\sin \theta}\\\\=\dfrac 1{\sin \theta}\\\\=\csc \theta[/tex]
problem referred below
pls help
Answers
Answer:
B
7 less than 3 times a number (X) is (3x-7), and then the sum of these two numbers means we have (3x-7)+X, and then we know this equals 109, leaving us with:
(3x-7)+x = 109
an expression for the area of a rectangular piece of sheet metal is X^2+8x+12.
An expression for the length of the same piece of sheet metal is x+6.
Determine an expression for the width.
Answers
[tex]\text{Area of rectangle} = \text{Length} \times \text{Width}\\\\\\\implies \text{Width} = \dfrac{\text{Area of reactangle}}{\text{Length}} = \dfrac{x^2 +8x +12}{x+6} = \dfrac{x^2 + 6x +2x +12}{x+6}\\\\\\\\ = \dfrac{x(x+6) +2(x+6)}{x+6}=\dfrac{(x+6)(x+2)}{x+6} = x+2[/tex]
Please take a look at the picture
Answers
Answer:
D
Step-by-step explanation:
-6-(-5)=-6+5
=-1
Answer:
D) The number that is 5 to the right of -6 on the number line
Hope this helps :)
Will mark as brain list if answered correctly
Answers
Answer:
The answer is 3
Step-by-step explanation:
I am sure.
Answer: i think it is 3
Step-by-step explanation:
