Which expression is equivalent to the following complex fractions

1-(1/x)/2
Not D

Which Expression Is Equivalent To The Following Complex Fractions 1-(1/x)/2Not D

Answers

Answer 1

The expression that is equivalent to complex fraction  [tex]\frac{1 - \frac{1}{x}}{2}[/tex] is  [tex]{\frac{x - 1}{2x}}[/tex]

To answer the question, we need to know what fractions are

What are fractions?

Fractions are rational numbers written in the form a/b where

a and b are integers and b > 0.

where

a is called the numerator and b the denominator.Expression similar to complex fraction

To find the expression similar to the complex fraction [tex]\frac{1 - \frac{1}{x}}{2}[/tex], we simplify the fraction.

So,  [tex]\frac{1 - \frac{1}{x}}{2}[/tex]

Taking L.C.M of x in the numerator, we have

[tex]\frac{1 - \frac{1}{x}}{2} = \frac{\frac{x - 1}{x}}{2} \\[/tex]

Simplifying, we have

[tex]\frac{1 - \frac{1}{x}}{2} = \frac{\frac{x - 1}{x}}{2} \\= {\frac{x - 1}{2x}}[/tex]

So, the expression that is equivalent to the complex fraction  [tex]\frac{1 - \frac{1}{x}}{2}[/tex] is  [tex]{\frac{x - 1}{2x}}[/tex]

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Related Questions

I am 6 foot and 4 inches what is my height in metres?12 inches=to 1 foot and 1 foot=to 30 cm

Answers

Answer:

1.9 m

Step-by-step explanation:

1 ft = 30 cm (approximately)

12 in. = 1 ft

100 cm = 1 m

Find the height in ft:

4 in. / 12 in/ft = 1/3 ft

6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft

Convert ft to cm:

6 1/3 ft × 30 cm/ft = 190 cm

Convert cm to m:

190 cm × 1 m / 100 cm = 1.9 m

Solve this problem, and identify the percent, amount, and base. What percent 60 of 15 is ?

Answers

Answer:

Step-by-step explanation:

'

Lines AB and CD are parallel. The coordinates of point A are (-2,5), the coordinates of point B are (6,3), and the coordinates of point D are (8,5).
The equation of line CD is y =

Answers

Equation of the line CD is equals to [tex]y = \frac{-x}{4} +7[/tex].

What are parallel lines?

" Parallel lines are defined as the lines in the same plane never intersect with each other. They are equidistant to each other in the same plane."

Formula used

[tex]Slope = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

According to the question,

Given,

Coordinates of A [tex](x_{1},y_{1})[/tex] = ( -2 , 5)

Coordinates of B [tex](x_{2},y_{2})[/tex] = ( 6 , 3)

Substitute the value to get the slope of line AB we get,

[tex]Slope of line AB 'm_{1}' =\frac{3-5}{6-(-2)}[/tex]

                    ⇒ [tex]m_{1} = \frac{-2}{8}[/tex]          

                              [tex]= \frac{-1}{4}[/tex]

Coordinates of C [tex](x_{1},y_{1})[/tex] = ( x ,y)

Coordinates of B [tex](x_{2},y_{2})[/tex] = ( 8,5)

Substitute the value to get the slope of line CD we get,

[tex]Slope of line CD 'm_{2}' =\frac{5-y}{8-x}[/tex]

Lines AB and CD are parallel.

Slope of parallel lines are equal.

Therefore,

                     [tex]m_{2} = m_{1}[/tex]          

                 ⇒ [tex]\frac{5-y}{8-x}[/tex] [tex]= \frac{-1}{4}[/tex]

                ⇒[tex]5-y = \frac{-1}{4} (8-x)[/tex]

                ⇒ [tex]y = \frac{-x}{4} +7[/tex]

Hence, equation of the line CD is equals to [tex]y = \frac{-x}{4} +7[/tex].

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2. Which statement about like terms is true?
O All equations have like terms.
Only equations with the variable x have like terms.
O Some equations do not have like terms.
O No equations have like terms.

Answers

Answer:

All equations have like terms

Directions: In this last section, you will answer one problem. Be sure to read the
problem carefully and to answer the question completely. Show your work and circle
your answer. Use any method to solve this problem.
74. A restaurant has a total of 60 tables. Some of the tables can seat 4 people and some
seat 2 people. All of the seats are occupied when there are 160 people seated. How man
tables for 4 are there?

Answers

Answer:

40 tables

Step-by-step explanation:

I think lol I'm just guessing. Hope you get it right. If I'm right just remember me as legend or the chosen one.

EASY POINTS
Which answer represents the following conditional statement in shorthand?

Answers

Answer:

B

Step-by-step explanation:

if it is warm the Megan is swimming

the correct answer is D

84102 - 1052=?


pasagot po pls with solution ​

Answers

Answer:

83050

Step-by-step explanation:

that's the answer to the question

suppose y varies inversely as x and y=12 when x=6 find y if x=8

Answers

Answer:

y = 9

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y = 12 when x = 6

12 = [tex]\frac{k}{6}[/tex] ← multiply both sides by 6 to clear the fraction

72 = k

y = [tex]\frac{72}{x}[/tex] ← equation of variation

when x = 8 , then

y = [tex]\frac{72}{8}[/tex] = 9

A bag contains 100 marbles which are red, green, and blue.
Suppose a student randomly selects a marble without looking,
records the color, and then places the marble back in the bag.
The student has recorded 7 red marbles, 2 green marbles and
11 blue marbles. Predict how many blue marbles are in the
bag.
Voir can earn 5 coins

Answers

Answer:

Step-by-step explanation:

Remark

The ratio you would use is 7 to 2 to 11

The question is what you you have to multiply these ratios by so the products when added come to 100?

Equation

7*x + 2*x + 11*x = 100        Combine the terms on the left

Solution

20x = 100                           Divide both sides by 20

20x/20  = 100/20              

x = 5

Red: 7 * 5 =    35Green: 2 * 5 = 10Blue: 11*5 =     55Total               100

Answer: 55 blue marbles were in the bag.

Answer: 2

Step-by-step explanation:

Choose the correct answer below:

A- A rate is just a different name for a ratio. The terms are interchangeable
B-a rate refers to the reduced form of a ratio
C-rates are a special type of ratio that always have a 1 in the denominator
D- rates are a special type of ratio used to compare different kinds of quantities

Answers

Answer:

C

Step-by-step explanation:

The answer would have to be C cus it can't be A or D

Which shapes have the same volume at the given rectangular priam?
Som
base area-50 or
15 on
D
base area-50 cm
Son
base area-50 cm²
24 cm
base area- 50 cm
18 cm
4+-+-
base area-50 cm

Answers

Answer:

Cylinder

Step-by-step explanation:

Area of rectangular prism = base area * height

                                           = 50 * 5

                                           = 250 square cm

Area of cylinder = base area * height

                          = 50 * 5

                           = 250 square cm

A. 56
B. 154
C. 210
D. 252

Answers

2(4+3)²-14(3)2(7)²-422(49)-4298-42.56

Option A

Nadia has a handful of coins all of which are either dimes or quarters she has a total of 23 coins in her hand and a total of $3.65 worth of coins let D equal the number of dimes Nadia has and like Q represent the number of quarters she has. Must model the solution and show work.

Answers

Nadia cannot have 18 dimes and 5 quarters.

The equations that represent the question are:

D + Q = 23 equation 1

0.1d + 0.25q = 3.65  equation 2

The number of dimes is 14 and the number of quarters is 9.

Can Nadia have 18 dimes and 5 quarters?

The equation that represents the total amount of money she has is: 0.1d + 0.25q = 3.65

0.1(18) + 0.25(5) = 3.05

$3.05 is less than 3.65

What are the system of equations that models the situation?

D + Q = 23 equation 1

0.1d + 0.25q = 3.65  equation 2

What is the solution to the equation?

Given the above equations, multiply equation 1 by 0.1

0.1d + 0.1q = 2.3 equation 3

Subtract equation 3 from 2

0.15q = 1.35

Divide both sides by 0.15

q = 1.35 / 0.15

q = 9

To determine the value of d, subtract 9 from 23 : 23 - 9 = 14

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Today only a table is being sold for $364.89. This is 38% of its regular price. What was the price yesterday

Answers

Answer:

$960.24

Step-by-step explanation:

Hello!

Let the regular price be x.

38% of x = 0.38x

0.38x = 364.89

Solve for x0.38x = 364.89x = 364.89/0.38x = 960.2368421053 ≈ 960.24

The price of the table yesterday was around $960.24.

Which of the following is an identity?

Answers

sin²x sec²x +1 = tan²x cosec²x is an Identity and therefore Option C is an Identity.

What is a Trigonometric Identity ?

Trigonometric Identities are based on Trigonometric ratios , these are useful in conversion of the ratios into each other and to solve the problems of Trigonometry.

There are four Identities Given

Among them Option C is an Identity because on solving it

sin²x sec²x +1 = tan²x cosec²x

(sin²x/cos²x) +1 = sin²x / (sin²x cos²x)

sin²x +cos²x = 1

Which is an Identity and

therefore Option C is an Identity.

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2007 Federal Income Tax Table Single: Over But not over The tax is $0 $7,825 10% of the amount over $0 $7,825 $31,850 $788 + 15% of the amount over $7,825 $31,850 $77,100 $4,386 + 25% of the amount over $31,850 $77,100 $160,850 $15,699 + 28% of the amount over $77,100 $160,850 $349,700 $39,149 + 33% of the amount over $160,850 $349,700 And Over $101,469 + 35% of the amount over $349,700 Aaron Priest had a taxable income of $165,000. He figured his tax from the single taxpayer table above. 1. Find his earned income level. 2. Entered the base amount. = $ 3. Found the amount over $ = $ 4. Multiplied line 3 by % = $ 5. Added Lines 2 and 4 = $ 6. Computed his monthly withholding would be = $

Answers

Answer:

$160850

Step-by-step explanation:

If the volume of a cube is 64 cubic inches, find the length of one edge

Answers

The length of one edge of the cube is 4
4cm is the length on one edge

PLS HELPPPPPPPPPPPP WILL GIB BRAINLIEST Jimmy Needs to buy 1'000 boxs of Mac n' cheese for a confrecne meeting.

Each box costs 50.Cent how much money will he have to buy.
After u figure out The answer divide that by the by 56.
A 84712 = FIRST.... 84712 ÷ = 393893.329432112
B 50000 = FIRST.... 50000 ÷ = 892.857142857
C 43792 = FIRST.... 9382784 ÷ = 94923.2232
D 37263 = FIRST.... 8438493 ÷ = 4095923.31


PART B

The answer you just figured out find out how much cents that equals in dollars

A 5000
B 2123
C 3282
D 3921

Answers

Answer:

its 500$ to buy 1000 mac and cheese at 50 cent a piece so im asuming the answer is A

Step-by-step explanation:

factor this polynomial completely x2 - x - 20

Answers

Answer:

(x+4)(x-5)

Step-by-step explanation:

We can look at it by thinking of two numbers, that add up to -1 and multiply to -20. We can first do this by looking at factors of -20, which are 1, -20, -1, 20, 2, -10, -2, 10, and so on. After looking through it, we can notice that -5 and 4 added equal -1, and when multiplied equal to -20, so they work. So, we factor to (x+4)(x-5)

Answer:

(x +5) (x -4)

Step-by-step explanation:

Factors of 20:

1,20

2,10

4,5

4 and 5 combine to create 1

+5 -4 = 1

(x +5) (x -4)

Evaluate 5x – 2y + (7x – y) for x = 7 and y = –2. 90 –18 –45 63

Answers

The value of the expression 5x – 2y + (7x – y)  when x = 7 and y = -2 is 90

How to evaluate the expression?

The expression is given as:

5x – 2y + (7x – y)

Substitute x = 7 and y = –2 in the above expression

5 * 7 - 2 * -2 + (7 * 7 + 2)

Evaluate the expression

90

Hence, the value of the expression 5x – 2y + (7x – y)  when x = 7 and y = -2 is 90

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Every year in Delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. The equation y = 15 + 110x – 16x2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. What is the maximum height that the pumpkin reaches? How many seconds have passed when the pumpkin hits the ground? (Hint: If the pumpkin hits the ground, its height is 0 feet.)

Answers

Answer:

See below

Step-by-step explanation:

y = - 16x^2 + 110x + 15    is a dome shaped parabola

  max will occur at x = -b/2a = -  110/(2*-16) = 3 7/16   seconds

     using this value in the equation results in y = 204  units  (feet?)

Height = 0 = -16x^2 +110x + 15     use quadratic formula

                                  with  a = -16    b = 110    c = 15    to find  7 seconds

Confirmed as of 12.14.22

Here you go! Please mark Brainliest! Tysm if you do and have a great holiday!

__________

1. $11.50

2. Distributive Property

3. x ->-4 and x -< 3

4. x = 0 or x = -3/2

5. D = all real numbers

  R = {y | y -> 0}

6. y = 12/13x - 10/13

  slope: 12/13; y-intercept: -10/13

7. y - 3 = 4/9 (x - 9)

8. (1/4, -7); x = 1/4; translated to the right 1/4 unit and down 7 units.

9. Graph C (representing the inequality y -< x/2 - 3)

10. Graph C (representing the system {x -> 0, y -< -1/8x + 5, y -> 5/8x - 1)

11. [ -12  -13  13  |  -15]

    [ 7     -10   -3  |   11]

    [ 7      14    5  |    -5]

12. Graph C (representing y = 3(x - 3)^2 + 3)

13. The pumpkin's maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

14. 4x^2 + 3x - 6

15. 7/2 -+ sqrt17/2

16. -15

17. (0,3), (3,0)

18. -3. -2. 2

19. Graph C (Goes vertically down, up, then down again.)

20. -6, -2

21. 2, -2, 4i, -4i

22. s^4 + 15s^4 v + 90s^3 v^2 + 270s^2 b^3 + 405sv^4 + 243v^5

23. y = x - 2

24.  f(x) = 295(1.07)^x; 338

25. y = 497(1/2)^38x; 462.029 kg

26. 4

27. 1.03

28. 4.55

29. r = Q/8s^2

30. x = 2

31. Constant of variation: -1/3

    x = -63

32. (-1, 7, 5)

33. (x + 4)(6x + 7

______________________________________________

Can someone help me with this problem?

Answers

The volume of the fourth doll based on the information given will be 549cm³.

How to calculate the volume?

The formula to use will be:

= πr²h

where,

Volume = 8cm³

Diameter = 2.1

Radius = 2.1/2 = 1.05cm

Therefore, 8 = (3.14 × 1.05² × h)

h = 8/(3.14 × 1.05²)

h = 2.31 cm.

The scale factor used is:

= 3.36/2.1

= 1.6

Therefore, the diameter of the fourth doll will be:

= 2.1 × 1.6³

= 8.6

Radius will be:

= 8.6/2 = 4.3.

The height of the fourth doll will be:

= 2.31 × 1.6³

= 9.46

The volume of the fourth doll will be:

= 3.14 × 4.3² × 9.46

= 549cm³

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The equation that models the current water temperature t of the swimming pool is t -6=78 which best describes the error made when solving for the current temperature

Answers

78! is the answer to this question! trust! -6

6x^2 + 2x-20/ 4x-2 simplify

Answers

Answer:

6x^2-3x-2

Step-by-step explanation:

6x^2 + 2x - 20 / 4 x x - 2

6x^2 + 2x - 5x - 2

6x^2 -3x - 2

If a city with a population of 283,900 doubles in size every 66 years, what will the population be 198 years from now


PLEASE HELP

Answers

Here’s the answer to your question and solution

The population after 198 years from now will be 2,270,200.

What is an exponent?

Let a be the initial value and x be the power of the exponent function. Then the exponent is given as,

[tex]\rm y = 283,900\times (2)^{x/198}[/tex]

The population after 198 years from now will be calculated as,

[tex]\rm y = 283,900 \times (2)^{198/66}[/tex]

Simplify the equation, then we have

y = 283,900 x 8

y = 2,270,200

The population after 198 years will be 2,270,200.

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-6x +3>-39

sombody pls do this problem

Answers

Answer:

x>-7

Step-by-step explanation:

Answer:

x>-7

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

Theo's friend made a display with dimensions that were each half as long as those theo used. what is the approximate mass of theo's friends display

Answers

Answer:

great question buddy and I wish you the most

Step-by-step explanation:

x-y=b^2/2=2

Trey deposits 5000 into an account that pays simple interest at an annual rate of 2%. he does not make any more deposits. he makes no withdrawals until the end of 6 years when he withdraws all the money

Answers

The simple interest Trey earns if he makes no additional deposit or withdrawal for a period of 6 years is 600

How to calculate simple interest?

Principal = 5,000

Rate = 2%

= 2/100

= 0.02

Time = 6 years

Simple interest = principal × rate × time

= 5000 × 0.02 × 6

= 600

Therefore, the simple interest Trey earns if he makes no additional deposit or withdrawal for a period of 6 years is 600

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Which is the equation of the parabola with focus (6, 2) and vertex (6, –4)?

Answers

Based on the calculations, the equation of this parabola is equal to (x - 6)² = 16(y + 4).

How to determine the equation of this parabola?

Mathematically, the standard equation with the vertex for a parabola is given by:

(y - k)² = 4a(x - h) for horizontal parabola.

(x - h)² = 4a(y - k) for vertical parabola.

where:

h and k are the vertex.a is a point.

By critically observing the points, we can deduce that both the focus and vertex lie on the same vertical line x = 6.

Given the following data:

Focus with points = (6, 2).

Vertex (h, k) = (6, –4).

Note: a = 2 - (-4) = 2 + 4 = 6.

Substituting the given parameters into the formula, we have;

(x - 6)² = 4 × 4(y - (-4))

(x - 6)² = 16(y + 4).

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A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before​ treatment, 16 subjects had a mean wake time of 100.0 min. After​ treatment, the 16 subjects had a mean wake time of 75.5 min and a standard deviation of 24.2 min. Assume that the 16 sample values appear to be from a normally distributed population and construct a 95​% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 100.0 min before the​ treatment? Does the drug appear to be​ effective?

Construct the 95​% confidence interval estimate of the mean wake time for a population with the treatment.

Answers

The 95​% confidence interval estimate of the mean wake time is equal to (62.61, 88.39).

Given the following data:

Mean wake time = 75.5 min.Standard deviation = 24.2 min. Number of sample, n = 16.

How to construct a 95​% confidence interval?

Mathematically, a confidence interval of 95% is given by;

α = 1 - 0.95

α = 0.05.

α/2 = 0.05/2 = 0.025.

Also, the degrees of freedom (df) is given by:

Degrees of freedom (df) = n - 1

Degrees of freedom (df) = 16 - 1

Degrees of freedom (df) = 15.

From the Student's t-distribution table, a critical value at t₀.₀₂₅, ₁₅ = 2.131.

Mathematically, the confidence interval for mean is given by:

Mean ± (t-critical × (standard deviation/√(sample size)))

75.5 ± (2.131 × (24.2/√(16))

75.5 ± (2.131 × 6.05)

For the upper end, we have:

75.5 + 12.89 = 88.39

For the lower end, we have:

75.5 - 12.89 = 62.61.

In conclusion, we can deduce that there isn't a significant difference between the mean wake time before and after treatment and as such, this drug isn't effective at the significance level of 0.05.

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