approximate the value of square root of 44 to the nearest hundredth​

Answers

Answer 1

Answer:

Here we can take advantage of exactly the property suggested by Xisca... that is, sqrt(44)=2sqrt(11), which reduces the calculation to more accuracy with a lesser knowledge of the squares of numbers.

As a first approximation, we know that 33*33=1089, or 3.3*3.3=10.89, which is already very close to 11.  

Thus a first approximation to sqrt(44)=2sqrt(11)=2*3.3=6.6 (approximately).

To refine the calculation of sqrt(11), we use Newton's approximation, namely

a better approximation is given by 3.3 + (11 - 3.3^2) / (2*3.3) = 3.3+0.11/6.6 = 3.3+1/60

which gives

sqrt(44) = 2(3.3+1/60) = 6.6+1/30 = 6.6333,

actually accurate almost to the nearest 1/10000.

All of the above can be done mentally

For those who need help with rounding to the nearest hundredth (0.01), we drop digits AFTER the 2nd decimal, namely *.**33.  If the first digit dropped is 5 or more, add one to the last digit retained, otherwise, retain only the two digits after the decimal.  In this case, the first digit dropped is 3, so it will simply be dropped.  The final answer is then 6.63, to the nearest hundredth.


Related Questions

How many cubes can tom's box hold? cubes​

Answers

? Is there supposed to be an image

Is the following sequence, Arithmetic, Geometric, or Neither?
1/6, 1, 6, 36
a
Arithmetic
b
Geometric
с
Neither

Answers

Answer:

neither because it's just fractions and numbers

how many times can 92 go into 208

Answers

Answer:

About 2 times

Step-by-step explanation:

208/92 is 2.26086957

It is about two times

select all the equations that are equivalent to (5x+6)/2=3-(4x+12)
A. 5x+6=3-(4x+12)
B. (5x+6)/2= -4x - 9
C. 5/2x + 3 = 3 - (4x + 12)
D. (5x + 6)/2 = -4x + 15
E. 5x + 6 = -8x - 18

Answers

Answer:

the equations that are equivalent to (5x+6)/2=3-(4x+12) is

D. (5x + 6)/2 = -4x + 15

Suppose you removed the zero from each decimal below. Which decimal's value would be changed?

A.0.84

B.1.580

C.3.027

D.33.0

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

y = A system of equations. y equals StartFraction one-half EndFraction x minus 6. x equals negative 4.x – 6
x = –4

Answers

Answer:

(-4,-8)

Step-by-step explanation:

Got It Right On Edge

Answer: Option B

(B) (–4, –8)

Step-by-step explanation:

Which is the x-intercept for 4x − 2y = 16?

Answers

Answer:

4

Step-by-step explanation:

Remember, the x-intercept of a function is where the graph intersects the x-axis. A function only intersects the x-axis when y = 0.

To find the x-intercept of the function 4x - 2y = 16, lets set y = 0 and solve for x:

4x - 2(0) = 16

4x = 16

x = 4

So the x-intercept of the function would be 4.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer: A) (4,0)

explanation: usa test prep


What is the solution to the absolute value equation [x+6l = (2x-3(1.3)

Answers

Answer:

x=9.9

Step-by-step explanation:

Which of the following are remote interior angles of 1? Check all that apply
A. _5
B. 4
C. 22
D. 6
DE 3
DE 21

Answers

Answer:

b

Step-by-step explanation:

Answer:

A,D,DE

Step-by-step explanation:

find the simple interest on $1500 for 5 years at 3.5%

Answers

Answer:

$1781.53

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)ⁿ

Step 1: Define variables

Principle amount P = 1500

Rate r = 0.035

Years n = 5

Step 2: Substitute and Evaluate for A

A = 1500(1 + 0.035)⁵

A = 1500(1.035)⁵

A = 1500(1.18769)

A = 1781.53

how many ways can the letter in the word RADAR be arranged?

Answers

Answer:

5

Step-by-step explanation:

(2 * 2)

5 = (1 * 2 * 3 * 4 * 5) = 120

2 = (1 * 2) = 2

120

--------  = 30

(2 * 2)

Letter in the word RADAR can be arranged in 30 ways.

What is permutation?

" Permutation is defined as the all possible arrangements of the given objects in a definite order."

According to the question,

Given word,

RADAR

Total number of letters = 5

Letter 'R' and 'A'  repeat two times each

Therefore,

Possible number of arrangements = [tex]\frac{5!}{2!2!}[/tex]

                                                         = [tex]\frac{(5) (4) (3) (2)(1)}{(2)(1)(2)(1)}[/tex]

                                                         = 30 ways

Hence, letters in the word RADAR can be arranged in 30 ways.

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What is the correct solution to the expression 3+5^2. Using scientific calculator

Answers

Answer:

5^2 is 5 squared in which case this Is essentially 3+25  which is 28.

Step-by-step explanation:

Its simple 5^2 Is 5 times 5, 5^3 is 5 times 5 times 5 and so on.

Write any two negative integers greater than – 8

Answers

Answer:

-6 and -7

Step-by-step explanation:

greater has the meaning of more positive in math, which is equivalent to being less negative, so two negative integers greater than -8 are two that have a value lower than 8, in this case from 1 to 7 (0 is neither positive nor negative)

so a possible answer is -7 and -6

Answer:

-7, -6, -5, -4, -3, -2, -1

You choose two :)

Step-by-step explanation:

An integer is a whole number, and we need a negative integer that is GREATER than -8. The larger the number that is negative, the smaller it is on a number line

List all numbers from the given set that are natural numbers, whole numbers, integers,rational numbers,irrational numbers, and real numbers.?
{3.14, 1/2,square root 36, 0.2,-5,square root 3, 8.3, 0}

Answers

Answer:C.) Integers D.) Rational Numbers E.) Irrational Numbers F.) Real Numbers ... {3.14, 1/2, square root 36, 0.2, -5, square root 3, 8.3, 0 }. a.) natural numbers. b.) whole numbers. c.) integers. d.) rational numbers. e.) irrational numbers. f.) real numbers ... Given set { 3.14, 1/2 ,36=6,0.2,-5,3,8.3,0} Natural numbers are 1,2,3.

Step-by-step explanation:

what is 2+2+1-1+3-2+1+2+3+4+5​

Answers

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

2 + 2 + 1 - 1 + 3 - 2 + 1 + 2 + 3 + 4 + 5

4 + 1 - 1 + 3 - 2 + 1 + 2 + 3 + 4 + 5

5 - 1 + 3 - 2 + 1 + 2 + 3 + 4 + 5

4 + 3 - 2 + 1 + 2 + 3 + 4 + 5

7 - 2 + 1 + 2 + 3 + 4 + 5

5 + 1 + 2 + 3 + 4 + 5

6 + 2 + 3 + 4 + 5

8 + 3 + 4 + 5

11 + 4 + 5

15 + 5

20

Hurry Up! I will give brianliest. PLEASE GIVE EXPLANATION or i wont give brainliest

Answers

Answer:

x = 19

Step-by-step explanation:

Question: find x such that f(x) = 2/3

Given f(x) = (-1/3) x + 7

equate the value of f(x) to be 2/3

hence,

(2/3) = (-1/3)x + 7 (multiply both sides by 3)

(3) (2/3)  = (3) (-1/3)x + (3) 7

2 = -x + 21

x = 21 - 2

x = 19

Answer:

x = 19

Step-by-step explanation:

What is the value of |– 3.25|

Answers

Answer:

I’m so sorry if I’m wrong! | - 13/4 |

| -3.25| is 3 + 25/100 = 3+1/4 = | 13/4. |

So it can be | -13/4 |

Step-by-step explanation:

Answer:

3.25

Step-by-step explanation:

absolute value is the distance away from zero. Distance is always positive.

A woman buys an item marked Rs. 3,060 after allowing a discount of 15% with 10% VAT. How much does she pay for it?​

Answers

After applying a 15% discount and adding a 10% value-added tax (VAT), a woman pays a different amount than the original price of Rs. 3,060 for the item.

The original price of the item is Rs. 3,060. To calculate the final amount paid by the woman, we first apply a 15% discount to the original price. A 15% discount on Rs. 3,060 is calculated as (15/100) x 3,060 = Rs. 459. After deducting the discount, the revised price becomes Rs. 3,060 - Rs. 459 = Rs. 2,601.

Next, a 10% value-added tax (VAT) is applied to the revised price. The VAT amount is calculated as (10/100) x 2,601 = Rs. 260.1. Adding the VAT amount to the revised price, the final amount paid by the woman is Rs. 2,601 + Rs. 260.1 = Rs. 2,861.1.

Therefore, the woman pays Rs. 2,861.1 for the item after allowing a 15% discount and adding a 10% VAT.

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Which option is equivalent to log 7 - log 2? A. log 5 7 B. log O C. log 9 OD. log 72​

Answers

Answer:

la vida mafio

Step-by-step explanation:

mafioaso.

Answer: C

Step-by-step explanation:

How many times as many internet users are there in Japan than in Spain? Round to the nearest tenth.

Answers

Theres about 3.2 times as many internet users in Japn than in Spain

Answer:

3.3 hegdgshgzfghlugzhghg

asap plz
What is the reciprocal of 2 3/8?
19/8
16/3
8/19
3/16

Answers

I think it is 19/8 or 8/19 I am not sure

Answer:

the reciprocal of 2 3/8=19/8

Distance of all planets from sun in scientific notation

Answers

Answer:

Mercury-

57

million kilometers.

Scientific notation-

5.7

10

7

km

Venus-

108

million kilometers.

Scientific notation-

1.08

10

8

km

Earth-

150

million kilometers

Scientific notation-

1.5

10

8

km

Mars-

228

million kilometers

Scientific notation-

2.28

10

8

km

Jupiter-

779

million kilometers

Scientific notation-

7.79

10

8

km

Saturn-

1.43

billion kilometers

Scientific notation-

1.43

10

9

km

Uranus-

2.88

billion kilometers

Scientific notation-

2.388

10

9

km

Neptune-

4.5

billion kilometers

Scientific notation-

4.5

10

9

km

A cube measures 3.0 CM on each side and has a mass of 25g. What is the density?

Answers

Answer:

D ≈ 0.925926 g/cm³

Step-by-step explanation:

Density = Mass / Volume

Step 1: Define

M = 25 g

V = (3 cm)³ = 27 cm³

D = ?

Step 2: Substitute and Evaluate for Density

D = 25g / 27 cm³

D = 25/27 g/cm³

D ≈ 0.925926 g/cm³


Problem
The cost to park in the downtown parking lot depends on the number of hours you park your car for.
Hours parked 111 555 121212
Cost (in dollars) 444 101010 151515
Plot the ordered pairs from the table.
Is the cost of parking proportional to the number of hours parked?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Answers

Answer:

b

Step-by-step explanation:

b

The cost of parking is not proportional to the number of hours parked.

We need to check whether the cost of parking is proportional to the number of hours parked.

The ordered pairs from the table is (1, 4), (5, 10) and (12, 15).

What is the direct variation?

A direct variation is a proportionality relationship in which two quantities follow a direct relationship.

Taking hours as abscissa and cost as ordinate.  We can get the coordinate of three points: (1, 4), (5, 10) and (12, 15) mark it on the graph.

The cost of parking is not proportional to the number of hours parked.

That is, 10-4/5-1≠15-10/12-5

Therefore, the cost of parking is not proportional to the number of hours parked.

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The fine schedule for overdue books at the county library is modeled by the values in the table.

Library Fines for Overdue Books
Days overdue
Amount of fine
0
0 ¢
2
5 ¢
4
10 ¢
6
15 ¢
8
20 ¢
10
25 ¢

Which equation best models the fine schedule for overdue books?
y = five-halves x, where x is the cost in cents for a book that is y days overdue
y = five-halves x, where y is the cost in cents for a book that is x days overdue
y = 5 x, where x is the cost in cents for a book that is y days overdue
y = 5 x, where y is the cost in cents for a book that is x days overdue
Mark this and return

Answers

Answer:

The answer would be B!

Step-by-step explanation:

In the chart if you divide the number of days over due to the cost of the fine, you get 5/2 every time. therefore, if y is the cost in cents and x is the days overdue, you would multiply x5/2 or y=5/2x, so your answer is B (y=5/2x).  

hoped this helped :D

Answer:

b

Step-by-step explanation:

Vehicles generally decrease in value around 14% per year. If you buy a vehicle priced at $39,500 , this can be modeled by the equation A=39500(0.86)t . Estimate the value of the vehicle after 4 years. Round to the nearest cent and do not round until the final calculation.

Answers

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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Sarah and her 5 friends toasted 96 pumpkin seeds from their pumpkin. How many
seeds will each child get if they share the pumpkin seeds fairly?

Answers

Answer:

19

Step-by-step explanation:

96/5 = 19.2

Remove 0.2 so they're divided fairly.

Answer:

16

Step-by-step explanation:

if you divide 96 by 6 you get 16 per friend.

2. Determine all the common factors and two
common multiples of 12 and 56. Show
your work.

Answers

9514 1404 393

Answer:

common factors: 1, 2, 4common multiples: any multiple of 168, including 168, 336, 504, 672

Step-by-step explanation:

Common factors of 12 and 56 will be factors of the greatest common factor (GCF) of those numbers. That can be found several ways. One is to list the prime factors of each number, then choose the ones that are common.

  12 = 2·2·3

  56 = 2·2·2·7

The common factors are 2·2. Of course 1 is always a factor. So, "all common factors" are 1, 2, 4.

__

The least common multiple (LCM) can be figured using the same lists of factors. It must include all of the factors (only as many times as necessary), so will be ...

  2·2·2·3·7 = 168

It can also be figured as the product of the two numbers, divided by their GCF:

  12·56/4 = 168

Any "common multiple" will be a multiple of this LCM. Some common multiples of 12 and 56 are ...

  1·168 = 168; 2·168 = 336; 3·168 = 504

Find 5% of $32.68 need some help

Answers

Answer:

$1.634

Step-by-step explanation:

5% is 0.05 as a decimal.

We simply multiply to find our value:

32.68 · 0.05 = 1.634

Answer:

$1.63

Step-by-step explanation:

5% =  0.05 or 5/100

32.68.0.05 = 1.634 ≈  $ 1.63

32.68  . 5/100 = 32.68 . 1/20 = 32.68/20 = 1.634 ≈ $1.63

Researchers studied a random sample of high school students who participated in interscholastic athletics to learn about the risk of lower-extremity injuries (anywhere between hip and toe) for interscholastic athletes. Of 1002 participants in girls' soccer, 75 experienced lower-extremity injuries. Of 1670 participants in boys' soccer, 151experienced lower-extremity injuries.(a) Write a two-way table of observed counts for gender and whether a participant had a lower-extremity injury or not.

Gender Had Injury No Injury Total
Girls
Boys
Total

(b) Determine a two-way table of expected counts for these data. (Round the answers to one decimal place where it is needed.)

Gender Had Injury No Injury Total
Girls
Boys
Total


(c) Show calculations verifying that the value of the chi-square statistic is 1.96.

Chi-square = (75-84.8)2/ + (927- )2/917.3 + ( -141.3)2/141.3 + (1519- )2/ = 1.13 + 0.10 + + 0.06 = 1.96

Answers

Answer:

What role does blood play before cellular respiration can occur?

Blood releases energy from very small molecules.

Blood carries energy from cytoplasm to a mitochondrion.

Blood delivers oxygen and glucose to cells.

Blood delivers carbon dioxide and water to cells.

Step-by-step explanation:

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