Which of the fractions below is closest to zero?
a. 1/2
b. 1/6
c. 1/9
d. 1/12

Answers

Answer 1

Answer:

d.) 1/12

Step-by-step explanation:

As it is equal to 0.083 and it is nearest to zero

Answer 2

Answer:

d. 1/12

Step-by-step explanation:

Since all of the fractions are positive and you want the one closest to 0, you need to find the smallest fraction. With fractions, especially when all of the numerators are 1, the larger the denominator becomes, the smaller the fraction. 12 is the largest denominator; therefore, 1/12 must be the smallest fraction. Which makes 1/12 the closest to 0.


Related Questions

can someone show work and explain ??

Answers

Answer:

481 cubic inches

Step-by-step explanation:

Volume of the figure = Volume of the triangular prism + rectangular prism

Volume of the triangular prism = Base area * height

Volume of the triangular prism = (1/2*5*3) *  6

Volume of the triangular prism = 15/2 * 6

Volume of the triangular prism = 15 * 3

Volume of the triangular prism = 45in³

Volume of the rectangular prism = 16*7*3

Volume of the rectangular prism = 336in³

Volume of the figure = 45+336

Volume of the figure = 481 cubic inches

Any help would be appreciated

Answers

Answer:

$8.25

Step-by-step explanation:

I don't know how to explain it to you but if I'm wrong tell me I'll try it aagain.

Two polls were conducted about the upcoming election for new governor. The first poll said that 45% of the people asked would vote for Mr. Johnson with a margin of error of plus or minus 4.6%. The second poll said that 42% of the people asked would vote for Mr. Johnson with a margin of error of plus or minus 3.6%.

Can the conclusions of both polls be correct?
a. yes, the two corresponding confidence intervals overlap.
b. no, the difference between 45% and 42% is too large.
c. no, the two corresponding confidence intervals do not overlap.

Answers

Answer:

A. Yes, the two corresponding confidence intervals overlap.

Step-by-step explanation:

The correct option is - A. Yes, the two corresponding confidence intervals overlap.

Reason -

P(1) = 45% = 0.45

E(1) = 4.6% = 0.046

Confidence Interval = P(1) ± E(1)

                                 = 0.45 ± 0.046

So, the interval is -

0.45 + 0.046 ≤ P ≤ 0.45 - 0.046

⇒0.496 ≤ P ≤ 0.404                       .............(1)

Now,

P(2) = 42% = 0.42

E(2) = 3.6 % = 0.036

Confidence Interval = P(2) ± E(2)

                                 = 0.42 ± 0.036

So, the interval is -

0.42 + 0.036 ≤ P ≤ 0.42 - 0.036

⇒0.456 ≤ P ≤ 0.384                    ...............(2)

From equation (1) and (2), we get

The two corresponding confidence intervals overlap.

$1,000 at 9% compounded semiannually for 2 years

Answers

Answer:

Total = principal * (1 + rate / compounding periods ) ^ years * compounding periods

Total = (1,000 * (1 + .09 / 2)^2*2)

Total = (1,000 * (1.045)^4

Total = (1,000 * 1.1925186006)

Total = 1,192.52

Source: http://www.1728.org/compint3.htm

Step-by-step explanation:

Identify the coordinates for point A. Type your answer in the form (# #), without spaces.​

Answers

Answer:

(-4,3)

Step-by-step explanation:

Hope this helps. :)

A particular curve is represented parametrically by x=cost, y=−sint, t∈[0,2π]. (a) As t increases on [0,2π], in which direction is the point (x(t),y(t)) moving? the movement is clockwise (b) What is the corresponding Cartesian equation for this curve (the equation in x and y only)? Cartesian equation: functionsequation editor =0. Note! xyy=x2+1y−x2−1=0y−x2−1 (c) Give the smallest and largest values of y taken by this curve functionsequation editor ≤y≤ functionsequation editor .

Answers

Answer:

a) clockwise sense

b)  x² + y² = 1

c) y ∈ [0,1]

Step-by-step explanation:

a) x = cos (t)       y = -sin (t)

for t ∈ [ 0 , 2π ]

for t = 0   point  P  is    x = cos (0)   =  1   y = -sin (0)   y = 0

The point is on the x axis

Now let´s see what happens for t = π/4  

x = cos (π/4)    x = √2/2    and   y = - sin (π/4)    y = - √2/2

Note  π/4 is 45°

The coordinates of the new point P ´(t = π/4) are in the fourth quadrant

that means the point is moving clockwise sense.

b) x = cos(t)

   y = -sin(t)

Squaring on both sides of each equation we get:

x²  = cos²t

y²  = sin²(t)

Adding side by side

x²  +  y² = cos²t  + sin²t

x²  +  y² = 1

Values for y are    y  ( 0 , 1)

Find the area of the polygon to the nearest square inch.

Answers

Answer:

137 in.^2

Step-by-step explanation:

A = nsa/2

where

n = number of sides = 9

s = length of side = 4.7 in.

a = length of apothem = 6.5 in.

A = (9)(4.7 in.)(6.5 in.)/2

A = 137.475 in.^2

Answer: 137 in.^2

help please i need it asap

Answers

The correct answer would be 6

I am trying to find the answer to (in photo). But my calculator wont give me the answer. Does anyone know the answer to it? Or know how to calculate it without a calculator?

Answers

Answer:

[tex]\sqrt{13}[/tex] = 3.605551275......

Step-by-step explanation:

[tex]\sqrt{13}[/tex]

       3.6

3 [tex]\sqrt{13}[/tex]

     -9

36[tex]\sqrt{4}[/tex]00

do you need to know more... ??

9514 1404 393

Answer:

  √13 ≈ 3.60555127546

  "by hand": 3 4/7 or 398143/110425 or 3.6055 or 3 23/38

Step-by-step explanation:

Most on-line calculators, calculator apps for phone or tablet, and any spreadsheet can calculate this for you. The first attachment shows the result from the Go.ogle calculator.

Here, we describe 4 methods of approximating the root "by hand." That is, the calculations can be done with pencil and paper. They are easily within the capability of a 4-function calculator.

__

Method 1 -- Linear approximation

You can approximate it by hand in the following way.

√13 is between √9 = 3 and √16 = 4. As a first approximation, it is ...

  3 + (13 -9)/(16 -9) = 3 4/7 ≈ 3.57 ≈ 3.6

This is a linear interpolation between √9 and √16.

_____

Method 2 -- Babylonian method

The "Babylonian method" can be used to refine this approximation. For the next guess, average this number and the quotient 13 divided by this number.

  x = (3 4/7 + (13/(3 4/7))/2 = (25/7 + 13·7/25)/2 = (625 +637)/350 = 631/175

  x = 3 106/175 ≈ 3.6057 . . . . . . good to 3 decimal places

One more iteration will double the number of correct decimal digits.

  x = (3 106/175 + 13/(3 106/175))/2 = 398143/110425 ≈ 3.60555127915

(correct digits are highlighted)

_____

Method 3 -- "long division"

There is also a "long-division" method that develops the root one digit at a time. This is described in the second attachment, an extract from the NIST web site. For a number like 13, you would use 13.00 00 00 00 as the initial "dividend" to get a 4-digit root.

_____

Method 4 -- continued fraction

Once you realize that the root is between 3 and 4, you can write a "continued fraction" for the fractional part:

  3 +x = √13 . . . . . . where x is the fractional part of the root

  (3 +x)² = 13 . . . . . . square both sides

  x² +6x +9 = 13 . . . expand the square

  x(x +6) = 4 . . . . . . . subtract 9 and factor

  x = 4/(6 +x) . . . . . . write as an iterator (continued fraction)

At this point, we can say x = p/q for some integers p and q. Then the next iteration is ...

  p/q = 4/(6 +p/q) = 4q/(6q +p)

That is, successive approximations of x can be had by the transformation ...

  (p, q) ⇒ (4q, 6q+p)

Starting with the linear interpolation fraction x=4/7, the next refinements using this method are ...

  (p, q) = (4, 7) ⇒ (28, 46) = (14, 23)* ⇒ (92, 152) = (23, 38)

At this point, you have approximated the root as 3 23/38 ≈ 3.6053, accurate in the third decimal place. Convergence is clearly much slower than using the Babylonian method.

__

* We have reduced the fraction p/q = 28/46 to 14/23 in order to keep the numbers as small as possible. Similarly, 92/152 is reduced to 23/38.

Given the graph below, which of the following statements is true?

Answers

Answer:

A. the graph represent a one - to - one function because every x-value is paired with only y-value

Step-by-step explanation:

that's it

Please explain how you got the answer!

Answers

Answer:

16

Step-by-step explanation:

1250/ 80 = 125/8 ≈ 15.6 rounds up to 16

fill in the blanks with the correct missing term of each given sequence
8,11,_,17,20​

Answers

Answer:

14 i think

Step-by-step explanation:

im not that sure but yeah

14 BECAUSE adding by 3

Find the domain and range of the function of the graph multiple choice.

Domain
A. X>-1
B. All real numbers except 5
C. X less than or equal to-3
D. All real numbers

Range
A. all real numbers
B. Y less than or equal to -3
C. All real numbers except-3
D. Y> -3

PLS HELP ME, pls no link answers

Answers

Answer:

Step-by-step explanation:

y+123

x=178

D=99

plz help me with this question and plz do NOT put links in when answers

Answers

Answer:

Remember to add up the 2 angles they give you and subtract it from 180. Then you will get the answer for each question.

Help me plzzzzzzzzzz I give u BRAINLY

Answers

The answer is

X= 3 and Y= -4

Answer:

If you are solving for substitution then the anwser is x+3, and y = -4 (3, -4)

Step-by-step explanation:

First you solve for x

x-2y=11 to x = 11 + 2y

Then you plug it in to the first equation.

-7 (11 + 2y)- 2 = -13 Then Simplify. -77 - 16y= -13

Solve for Y.

Add 77 to both sides. -16y= 64

Divide both sides by -16

y= -4

The Solve for X

x=11 + 2 x -4

X=3

Therefore the anwser is (3, -4)

What are the solutions of the quadratic equation 5x2 – 10x – 15 = 0?

Answers

Hope this helps

Answer:
X=3072
Let me know if you need anymore help

Determine whether the data in the table display exponential behavior. Explain why or why not.

Answers

Answer:

The Answer is B

Step-by-step explanation:

A line with a slope of 4 passes through
the point (2, 1). What is the equation of
this line?

Answers

Answer:

y = 4x - 7

Step-by-step explanation:

Slope = 4 ; x1 = 2 , y1 = 1

Slope point form: y -y1 = m(x -x1)

y - 1 = 4(x - 2)

y - 1 = 4x - 2*4

y -1 = 4x - 8

   y = 4x - 8 +1

  y = 4x - 7

The prices for different types and amounts of building bricks are given. Select the options that have the same cost per brick.

1500 bricks for $1,110.00

1300 bricks for $845.00

1300 bricks for $845.00

230 bricks for $170.20

230 bricks for $170.20

100 bricks for $75.00

100 bricks for $75.00

35 bricks for $25.90

Answers

Answer:

35 bricks for $25.90

35 bricks for $25.90

230 bricks for $170.2

Step-by-step explanation:

Cost per brick = number of bricks / price of bricks

1500/$1110 = $1.35

1300 / $845 = $1.54

230 / $170.20 = $1.35

100 / $75 = $1.33

35 / $25.90 = $1.35

Based on these calculations, the bricks that have the same cost per brick are :

35 bricks for $25.90

35 bricks for $25.90

230 bricks for $170.20

Hi, do you know how to get the ratio?

Answers

hope it help you

please follow me

If you can solve it please tell me (20 points)​

Answers

Answer:

D E false, F true

Step-by-step explanation:

Are these 4 questions correct? If anything is wrong, let me know and tell me what is correct.

Answers

Answer:

they're all correct

Step-by-step explanation:

I think, if it's wrong I'm very sorry, but I'm fairly sure they're right

hope this helps:)

3186 people contributed to charity. this was an increase of 486 people over last year. Express the increase as a percentage.

Answers

Answer:

18%

Step-by-step explanation:

Given data

People that contributed the last year= 3186-486

=2700people

Hence the percentage change

=486/2700*100

=0.18*100

=18%

Hence the change in the number of people that contributed is 18%

someone please help me answer this!!

Answers

Answer:

10 units is the answer.

Step-by-step explanation:

points are (-3,2) and (-9,-6)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(-9-(-3))^2 + (-6-2)^2}\\\\d=\sqrt{(-6)^2+(-8)^2} \\\\d=\sqrt{36+64} \\\\d=\sqrt{100} \\\\d=10[/tex]

∴ distance between the points = 10 units

What is 7/10 × 2 5/6

Answers

Answer:

1.983 or about 1 1/6

hope this helped!

Which is bigger 1/4 or 3/5

Answers

Answer:

3/5

Step-by-step explanation:

3/5 is the bigger fraction

what is the point in mulitplucation

Answers

Answer:

its good for life and career choices

Step-by-step explanation:

Multiply the numbers just as if they were whole numbers.

Line up the numbers on the right - do not align the decimal points.

Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.

Add the products.

14 in. = _____ ft
Plzzzzzzzz help

Answers

Answer:

1.2

Step-by-step explanation:

12 in= 1 foot

Answer:

1.16 feet

Step-by-step explanation:

12 inches in one foot so there are 14 inches in 1.16 feet.

Which of the following is the logical conclusion to the conditional statements
below?
a = b
b=0
А. b=a
B. -as
C.boa
D. a =

Answers

Answer:

b

Step-by-step explanation:

PLEASE HELP ASAP ITS DUE SOON!!!!

Answers

Answer:

A

Step-by-step explanation:

Look at the y axis and find the highest point.

Answer:

I believe it would be a: y=30; The maximum height...

Step-by-step explanation:

It's where the line would be, and describes exactly where the line of symmetry would be. Hope this helps :)

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