Which fraction results in a terminating decimal?
1/12
4/9
2/15
7/8

5x = 60

Let x be the value of 12. Then, 5 times as great as 12 is 5x.

So, the equation can be written as:

5x = 60

To isolate x, we can divide both sides of the equation by 5:

x = 60/5

⬇️

x = 12

68.0389 convert 150 pounds to kilograms

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The quantities that are proportional to 8⁄12 are 24 / 36 and 2 / 3.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the fraction is 8 / 12. The equivalent expression will be calculated as:-

8 / 12 = 2 / 3

16⁄36 = 4 / 9

12⁄16 = 3 / 4

24⁄36 = 2 / 3

2⁄3 = 2 / 3

18⁄24  = 3 / 4

The equivalent expressions will be 8 / 12 = 24 / 36 = 2 / 3.

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When 80 inches is converted to feet it will be 6.66667 feet.

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(b)  The value of f^(-1) is g.

(c)  The value of f ◦ f ◦ f = f ◦ (f ◦ f) is f((f ◦ f)(x)) = f((x * (x-1))*((x * (x-1)) - 1)).

According to the question

(a) To prove that f is bijective, we need to show that it is both injective (one-to-one) and surjective (onto).

Injectivity: Let x, y ∈ a such that f(x) = f(y). Then, x * (x-1) = y * (y-1). Multiplying both sides by x-1, we get x = y, meaning that f is injective.

Surjectivity: Let z ∈ a. Then, z = z * (z-1) / (z-1), which means that there exists an x ∈ a such that f(x) = z. This shows that f is surjective.

Therefore, f is bijective.

(b) To find the inverse of f, we need to find a function g: a → a such that f(g(x)) = x and g(f(x)) = x for all x ∈ a.

Consider the function g: a → a defined by g(x) = x / (x-1) for all x ∈ a.

Let x ∈ a. Then, f(g(x)) = f(x / (x-1)) = (x / (x-1)) * ((x / (x-1)) - 1) = x. Similarly, g(f(x)) = g(x * (x-1)) = x * (x-1) / (x * (x-1) - 1) = x. This shows that f and g are inverses.

Therefore, f^(-1) = g.

(c) To find f ◦ f ◦ f, we first evaluate f ◦ f and then evaluate f of the result.

Let x ∈ a. Then, (f ◦ f)(x) = f(f(x)) = f(x * (x-1)) = (x * (x-1)) * ((x * (x-1)) - 1). Hence, f ◦ f ◦ f = f ◦ (f ◦ f) = f((f ◦ f)(x)) = f((x * (x-1)) * ((x * (x-1)) - 1)).

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Answer:

60

Step-by-step explanation:

1=3

2=6

3=9

The relation is Y=3X

Y20 = 3X20=60

Answer:

Below

Step-by-step explanation:

Her base salary (500) for the week PLUS her comission (.3 * 1575)

   totals 972.50 dollars

The value of the composite function f(g(-3) is -32

From the question, we have the following parameters that can be used in our computation:

f(x) = x + 4. q(x) = 12x

The above are individual functions

This means that

f(g(x)) = 12x + 4

For f(g(-3)), we have

f(g(x)) = 12 * -3 + 4

Evaluate

f(g(x)) = -32

Hence, the value of the composite function is -32

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The value of y when x = 45 using the given table is; y = (6/√2) + 4

The equation that represents the table is;

y = a cos x° + b

At x = 0, y = 10. Thus;

10 = acos 0 + b

cos 0 = 1

Thus;

10 = a + b    ------(1)

At x = 60, y = 7

Thus;

7 = a cos 60° + b

cos 60 = 0.5

Thus;

7 = 0.5a + b    -----(2)

Subtract eq 2 from eq 1 to get;

3 = 0.5a

a = 3/0.5

a = 6

b = 10 - 6

b = 4

Thus, the equation is;

y = 6cos x° + 4

At x = 45. we have;

y = 6cos 45° + 4

y = (6/√2) + 4

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The complete conversion roadmap is: Volume (L) ----> volume (mL) ----> mass (g): 1 L * 1000 mL/L = 1000 mL * 1 g/mL = 1000 g

To convert the volume from liters to milliliters, we use the conversion factor of 1000 mL/L. This means that for every 1 liter, there are 1000 milliliters.

Volume (L) ----> volume (mL): 1 L * 1000 mL/L = 1000 mL

To convert volume to mass, we use the density of the substance, which is 1 g/mL. This means that for every 1 milliliter of the substance, it has a mass of 1 gram.

Volume (mL) ----> mass (g): 1000 mL * 1 g/mL = 1000 g

Therefore, the complete conversion roadmap is:

Volume (L) ----> volume (mL) ----> mass (g): 1 L * 1000 mL/L = 1000 mL * 1 g/mL = 1000 g

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The painting is worth $22,225.62 today.

Compound interest is computed on the principal as well as the interest accumulated over the preceding period. It differs from simple interest in that interest is not added to the principal when computing interest for the next month.

Compound annual growth rate (CAGR) is the average yearly growth rate of an investment over a time period greater than one year. It is one of the most reliable methods for calculating and determining returns for individual assets, investment portfolios, and anything else whose value might grow or decline over time.

The formula to calculate the increase in the value of the painting is:

value_today = value_yesterday * (1 + 0.32)^number_of_years

Plugging in the given values:

value_today = $12,430 * (1 + 0.32)^2 = $12,430 * 1.32^2

= $12,430 * 1.7984

= $22,225.62

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If Hamid's current weight is 88kg and it is 10% higher than his normal weight, then we can use the following formula to find his normal weight:

Normal weight = Current weight / (1 + 10%)

10% of Hamid's weight is 0.10 * 88kg = 8.8kg

So, Normal weight = 88kg / (1 + 8.8kg) = 88kg / 1.10 = 80kg

Therefore, Hamid's normal weight is 80kg.

Answer: 36.4

Step-by-step explanation:

27.3= (3/4)y

divide both sides by 3/4 to isolate the y

27.3/(3/4)= 36.4

To double-check, plug in 36.4 to y; should get you 27.3

The expression that is equivilant to (3d^4)^2 is 9d^8

From the question, we have the following parameters that can be used in our computation:

(3d^4)^2

Remove the bracket

So, we have the following representation

3^2 * d^(4*2)

Evaluate the exponents

9 * d^8

So, we have

9d^8

Hence, the expression is 9d^8

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Answer:

254

Step-by-step explanation:

i think it is correct

Answer:

-76.5

Step-by-step explanation:

see image attached for sol

The length of WY  is 4.9.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

From two triangles the proportional sides are

11.1/5.55=8/4=9.8/WY

2=2=9.8/WY

So 2=9.8/WY

WY=9.8/2

WY=4.9

Hence, the length of WY  is 4.9.

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We can use graphical or numerical methods to estimate the solutions os equations by finding the x-values at which the graph of f(x) intersects the x-axis at y = -1.

We must identify the values of x that cause f(x) to equal -1 in order to estimate the solutions to the equation f(x) = -1.

It is challenging to identify the precise solutions of the equation without knowing the precise shape of the function f. (x). However, by locating the x-values where the graph of f(x) intersects the x-axis at y = -1, we can use graphic or numerical techniques to approximate the solutions. Based on the degree, there are three primary sorts of equations. linear, cubic, and quadratic equations.

Equation Solving: A General Principle

On each side of the equation, merge like terms and remove parentheses.

You can use either addition or subtraction to separate the variable word.

Use multiplication or division to find the solution for a variable.

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Put the numbers in ascending order from smallest to largest, the minimum is the smallest number in the list, The maximum is the largest number in the list, The median is found in the middle of the list and the lower quartile is the median of the first half of the data.

A number is a numerical unit of measurement and labelling in mathematics.

The natural numbers 1, 2, 3, 4, and so on are the first examples.

Number words are a linguistic way to express numbers.

More commonly, specific numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five.

Basic numerals are frequently grouped in a numeral system, which is an ordered manner to represent any number, because only a small number of symbols can be learned.

The Hindu-Arabic numeral system, which enables the depiction of any number using a combination of ten basic numeric symbols, is the most widely used system of numeration.

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The values of x in the equation is x = -2.39 and x = 1.89

From the question, we have the following parameters that can be used in our computation:

2(4x + 8 - x²) = 9x + 7

Open brackets

This gives

8x + 16 - 2x² = 9x + 7

Evaluate the like terms

2x² + x - 9 = 0

Using a graphing calculator, we have the following values

x = -2.386 and x = 1.886

Approximate

x = -2.39 and x = 1.89

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Answer:

  24501.42 m³

Step-by-step explanation:

You want the volume of a cylinder that is 34 m in diameter and 27 m high.

The volume of a cylinder is given by the formula ...

  V = πr²h

where r is the radius, half the diameter, and h is the height.

Use the given values in the formula and do the arithmetic. The volume is about ...

  24501.42 m³

__

Additional comment

The answer shown has 7 significant figures. The value used for π has 3 significant figures, so any figures in the answer after the first 3 are incorrect. When a more accurate value of π is used, the answer rounds to 24513.85 m³.

Here, we don't know the exact values for the speed or the lap length, so we need to use symbols in the equation  i.e., x= 8 / (5.5  / lap length × speed ).

There are a couple of ways to approach this problem, but one common method is to use the formula: distance = speed x time.

To find the time it took Andre to run each lap, we need to find the distance he covered in 8 minutes and then divide that by the number of laps. Here are the equations:

1. Distance = 5.5 laps x lap length

2. Distance = speed x 8 minutes

3.  x = (5.5 x lap length) / (speed x 8)

4.  x = 8 / (5.5 / lap length x speed)

Note that we don't know the exact values for the speed or the lap length, so we need to use symbols in the equations.

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A. The area of the glass portion is 6x². B. Length of window and pane is 3x + 8 inches, and Width is 2x + 7 inches. C. Area of the window and pane is 6x² + 23x + 56. D. Area of the wooden pane is  23x + 56 inches².

A: The area of the glass portion can be found by multiplying the length and width of the glass.

Given that the height of the glass portion can be represented as 3x and the width can be represented as 2x, we have:

Area of glass portion = 3x × 2x = 6x²

B: To find the length and width of the window and the pane, we must add the wooden trim to the height and width of the glass portion. The wooden trim adds 7 inches to the width and 8 inches to the height, so we have:

Length of window and pane = 3x + 8 = 3x + 8 inches

Width of window and pane = 2x + 7 = 2x + 7 inches

C: Using the length and width from Part B, we can calculate the area of the window and the pane by multiplying the length and width:

Area of window and pane = (3x + 8) × (2x + 7) = 6x² + 23x + 56

D: To find the area of just the wooden pane, we subtract the area of the glass portion from the area of the window and the pane:

Area of wooden pane = Area of window and pane - Area of glass portion = 6x² + 23x + 56 - 6x² = 23x + 56 inches²

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The value of the test statistic in this case is 75.00. This suggests that 75% of drivers under the age of 18 still use a cell phone while driving.

The value of the test statistic in this case is the percentage of drivers under the age of 18 who still use a cell phone while driving. The test statistic is calculated using the following formula:

Test Statistic = (Number of Drivers under 18 using Cell Phone)/ (Total Number of Drivers under 18) x 100

For this case, the test statistic is calculated as follows:

Test Statistic = (150/200) x 100 = 75.00

Therefore, the value of the test statistic in this case is 75.00. This suggests that 75% of drivers under the age of 18 still use a cell phone while driving.

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At the four corners of an equilateral triangle are three point charges.

Due to the fact that three charges do not cancel one another out with Colombian force, the system can never reach equilibrium.

A subatomic particle's electric charge causes it to experience a force when it is in an electric and magnetic field.

Electric charge is the property of matter that causes it to experience a force when subjected to an electromagnetic field. Protons and electrons most typically carry positive and negative charges, which are the two forms of electric charges. Energy is created by charge movement.

The most frequent charge carriers for positive and negative electric charges, respectively, are protons and electrons. The coulomb (C) is the standard unit of electric charge used by the International System of Units (ISO) (SI).

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Complete question -

Three point charges are placed at the corners of an equilateral triangle. Assuming only electrostatic force are acting

Answer:

The boat traveling at 30 miles per hour will travel 30 * (2/3600) = 0.05 miles in 2 seconds.

Step-by-step explanation:

Here's a step-by-step explanation to find the distance traveled by the boat in 2 seconds:

Start with the speed of the boat, which is given as 30 miles per hour.

To find the distance traveled in 2 seconds, we need to convert the speed from miles per hour to miles per second.

To convert from miles per hour to miles per second, divide the speed by 3600 (since there are 3600 seconds in an hour).

30 / 3600 = 0.008333333 (miles per second)

Multiply the speed in miles per second by the time in seconds to find the distance traveled.

0.008333333 * 2 = 0.016666666 miles

So the boat will travel 0.016666666 miles in 2 seconds, or approximately 0.05 miles.

The answer is cos(B/2) = 2√5 / 5

Half angle formula of cosine: cos B/2 = ±√[(1 + cos B) / 2]

Given: The positive value of cos 1/2 B in the simplest radical form with a rational denominator, if cos B = 3/5:

Regarding applying the cosine half-angle formula:

cos²(B/2) = (1 + cos B) / 2

put value of cos B =3/5 (given)

cos²(B/2) = (1 + 3/5) / 2

on simplifying

cos²(B/2) = (8/5) / 2

cos²(B/2) = 4/5

on taking under root we get

cos(B/2) = 2/√5

use a rational denominator and the simplest radical form hence, cos(B/2) = 2√5 / 5

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Answer: probably greater than 3 1/2 inches, since bumper stickers are usually wider than they are tall

Step-by-step explanation:

A car was worth $24,000 two years ago. The automobile is worth $23,160 this year. 3.5% of the value of the car has decreased.

24,000 - 23,160 = 840

840/24,000 = 0.035

Simplifying the above equation, we get,

0.035 = 3.5%

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The perimeter of the triangle which has a bisector that splits a triangle into 6 sides would be = 47½

A bisector is defined as the line that divides a shape into two equal parts.

The perimeter of triangle is the sum total of all the sides of the triangle. That is;

perimeter = a1 + a2 + b1 + b2 + c1 + c2

But the value of only 3 sides which is exactly half of the perimeter where given;

= 11/3+22/3+153/12

= 44+ 88+ 153/12

= 285/12

Therefore perimeter

= 285/12 + 285/12

= 570/12

= 47½

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Answer: x = −2, y= 9

Step-by-step explanation:

Solving for X

-3x+3=y

-x+3y=29

Plug the top equation into the bottom one

-x+3(-3x+3)=29

Distribute

-x - 9x + 9 = 29

combine like terms

-10x + 9 = 29

-10x = 20

Divide the x

x = -2

Solving for Y:

Plug the value x into any of the equations'

-3(-2) + 3 = y

Distribute

6 + 3 = y

y = 9

To check if that is right, plug x into the other equation

-(-2) + 3y = 29

Distribute and combine like terms

2 + 3 y = 29

3y = 27

y = 9