Membership at the Lose for Less Gym requires new members to pay an

enrollment fee of $79. 95 and purchase a key card for $19. 95, in addition to

the regular monthly fee of $24. 95.

Write an equation that represents the cost C for membership for m months.

What is the cost of a 2-year membership?

$1,157. 55

$698. 70

$678. 75

$2,422. 55

The solutions are x=3.69 and x=-4.2

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

2x²+x-31=0

Solve this with the quadratic formula

x=-b±√b²-4ac/2a

a=2,b=1,c=-31

x=-1±√1+248/4

x=-1±√249/4

x=-1+√249/4

x=-1 + 15.77/4 =14.77/4

x=3.6925

and x=-1-√249/4

x=-1 -15.77/4 =-4.1925

Hence, the solutions are x=3.69 and x=-4.2

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The equation of line passes through the points (0, -3) and (4, -1) will be;

⇒ y = 1/2x - 3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, -3) and (4, -1)

Now,

Since, The equation of line passes through the points (0, -3) and (4, -1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - (-3)) / (4 - 0)

m = 2 / 4

m = 1/2

Thus, The equation of line with slope 1/2 is,

⇒ y - (-3) = 1/2 (x - 0)

⇒ y + 3 = 1/2x

⇒ y = 1/2x - 3

Therefore, The equation of line passes through the points ((0, -3) and

(4, -1) will be;

⇒ y = 1/2x - 3

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The value of the exponential equation is A = ( 8 ) x ^ -105/2

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 8 / ( 7√x¹⁵ )   be equation (1)

On simplifying the equation , we get

The value of √x¹⁵ = x ^ 15/2

Now , the 7th root of √x¹⁵ is = x ^ 105/2

Now , the equation will be

A = ( 8 ) x ^ -105/2

Hence , the exponential equation is A = ( 8 ) x ^ -105/2

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The probability of drawing a ticket with value 2 when the first ticket drawn is 5 is 2/7.

The tree diagram makes it easier to arrange and see all of the potential possibilities. The tree's branches and ends are its two primary locations. On each branch is written the probability, and the ends hold the results in the end. To determine when to multiply and when to add, use tree diagrams.

Let A be an event: the first ticket extracted was the 5.

Let B be an event: the second ticket is 2.

The probability for the following is given as:

P (B/ A) = 2/7

Hence. the probability of drawing a ticket with value 2 when the first ticket drawn is 5 is 2/7.

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From the given information provided, the probability of event F given that event E has occurred is 0.5.

Conditional probability is probability of an event A occurring with given that event B has occurred. It is denoted as P(A|B) and is calculated as follows:

P(A|B) = P(A and B) / P(B)

To find P(F/E), we use the conditional probability formula:

P(F/E) = P(E and F) / P(E)

We are given that P(E and F) = 0.1 and P(E) = 0.2. Substituting the given values in the formula, we get:

P(F/E) = 0.1 / 0.2

Simplifying this expression, we get:

P(F/E) = 0.5

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The community developed the 8 Values Test to assess a person's political position in light of eight essential political tenets. I am standing at 5 in the 8 value test.

The "8 values test" is a political assessment tool that compares and contrasts eight political philosophies: capitalism vs. socialism, traditionalism vs. progressivism, nationalism vs. globalism, libertarianism vs. authoritarianism, democracy vs. elitism, pacifism vs. militarism, ecology vs. production, and decentralization vs. centralization.

The exam generates a political compass based on their responses and presents them on a graph.

The 8 Values Political Test is distributed under the terms of the MIT License.

The 8 Values Political Test is not interchangeable with the Political Compass Test, a registered trademark of Pace News Ltd, or the Political Coordinates Test, a creation of IDRlabs.

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3x + 8 = 3x + x, which has one solution at x = 8 for the equation..

In arithmetic, a solution to the equation expresses can be substituted for the variable to provide a piece of real number information.

The equation is given as 3x+8=3x+ ____.

If 3x + 8 = 3x + 9 has no solution for the equation.

If 3x + 8 = 3x + 8 has infinite solutions for the equation.

If 3x + 8 = 3x + x is equal to 3x + 8 = 4x, which has one solution at x=8 for the equation.

Therefore, 3x + 8 = 3x + x, which has one solution at x = 8 for the equation.

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The question seems incomplete, the complete question would be as:

3x+8=3x+ ____

What value could you write in after 3x that would make the equation true for:

Group of answer choices

no values of x

[ Choose ]

all values of x

[ Choose ]

just one value of x

[ Choose ]

Answer:

The perimeter of the new space used for the playground is 108 feet.

The perimeter of the space used for the new playground is 150 feet.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

The current space is rectangular and has a length of 24 feet and a width of 26 feet.

and, the new space is 36 feet long.

let the width of new space is x.

Since, the two space are similar then the scale factor will be

= 36/24 = 1.5

So, the width of new space = 1.5 x 26 = 39 feet

Thus, the Perimeter of new space

= 2(l +w)

= 2 (36+ 39)

= 150 feet

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The value of the mean excluding the outlier is 130. 5

An outlier can be defined as a data point that differs significantly or greatly from other observations.

It occurs as a result of;

From the information given, we have that;

121, 89, 410, 203, 55, 230, 182, 148, 135, 233, 11, 219, 108, 192

Since, the outlier is 410

The mean is given as;

= 121 + 89+ 203+ 55 + 230+182 + 148 + 135 + 233+ 11+ 219 + 108 + 192/13

Add the values

= 1696/13

= 130. 5

Hence, the value is 130. 5

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The 1.2 meter is 3.93701 feet.

The 1 meter is  3.28084 feet.

1.2 meter = 1.2*3.28084=3.93701

Since 1983, the meter has been internationally defined as the length of the path traveled by light in a vacuum in 1/299,792,

58 seconds. This definition can be applied easily and precisely with modern techniques, and the speed of light is considered a universal constant, making it an ideal  basis for a standard of length.

foot, plural of feet, measured by a number of  ancient, medieval and modern linear measurements (usually 25–3

cm) based on the length of a human foot, used exclusively in English-speaking countries, where it usually consists of 12 inches. , or a third of a yard.

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The binomial probability distribution is a discrete ​probability distribution that describes probabilities for experiments in which there are two mutually exclusive​ outcomes.

The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either success or failure.

In binomial probability distribution, the number of ‘Success’ in a sequence of n experiments, where each time a question is asked for yes-no, then the boolean-valued outcome is represented either with success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1 − p). A single success/failure test is also called a Bernoulli trial or Bernoulli experiment, and a series of outcomes is called a Bernoulli process.

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The factor that represents the area of the yard that can be mowed is (225 - x²).

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

The total area of the lawn is given by the formula -

Area of square lawn = (side length of square lawn)²

= (15 yards)²

= 225 square yards

The shed is also a square, with side length x yards.

So, the area of the shed is -

Area of square shed = (side length of square shed)²

= x²

To find the area of the yard that can be mowed, we need to subtract the area of the shed from the total area of the lawn -

Area of yard that can be mowed = Area of square lawn - Area of square shed

= 225 - x²

Therefore, the value is obtained as (225 - x²).

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This means that the given side lengths do not satisfy the converse of the triangle inequality theorem, and thus a triangle cannot be formed with side lengths 8, 9, and 17.

Given that they have three quadrants or more, triangles are considered polygons. It has a straightforward geometric shape. The letters ABC form a right-angled triangle when put together. Euclidean geometry creates a new rectangle of square when the borders are incompatible. Given that they have three sides and three corners, triangles are categorised as polygons.

Here,

No, it is not possible to form a triangle with side lengths 8, 9, and 17.

To see why, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Symbolically, for sides a, b, and c, this can be written as:

a + b > c

a + c > b

b + c > a

Let's check if these inequalities are satisfied for the sides of 8, 9, and 17:

8 + 9 > 17 (true)

8 + 17 > 9 (true)

9 + 17 > 8 (true)

All three inequalities are true, which means that the given side lengths satisfy the triangle inequality and a triangle can be formed.

In this case, we see that 8 + 9 = 17, which is exactly the length of the third side.

This means that the given side lengths do not satisfy the converse of the triangle inequality theorem, and thus a triangle cannot be formed with side lengths 8, 9, and 17.

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Range of the function is the set {-6.5, -5, -2}.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Domain of the function is the input values of the function and Range of the function is the output values.

Given function is,

F(x) = 3/4 x - 5

Domain of the function is -2, 0 and 4.

F(-2) = (3/4 × -2) - 5 = -13/2 = -6.5

F(0) = (3/4 × 0) - 5 = 0 - 5 = -5

F(4) = (3/4 × 4) - 5 = 3 - 5 = -2

Range = {-6.5, -5, -2}

Hence the required range of the given function is {-6.5, -5, -2}.

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Answer: 2 trapezoids

Step-by-step explanation: so 1 trapezoid has the same angles and edges as a hexagon, you get 2 and put them together 1 upside one one forward side up, it makes a hexagon

Answer:

8

Step-by-step explanation:

To evaluate the expression for j = -2, we simply substitute -2 for j and simplify:

10l(-2)l - 12 = 10 * |-2| - 12 (Note that the absolute value of -2 is 2)

= 10 * 2 - 12

= 20 - 12

= 8

Therefore, the value of the expression 10lj| − 12 when j = -2 is 8.

The value of the expression is found to be 1 0 when the value of x is equal to 2.

The expression provided to us is 5.x³/x² for x = 2.

Now, in order to evaluate this expression, we will follow the simple,

5.x³/x² = 5x.

First as we can see, x³ can be divided by x²and then we will get x as the outcome of the simple division operation,

So, we will get,

5x

Now, we have to put the value of x equal to 2 so that we get to know about the exact value of the expression,

x = 2,

= 5(2)

= 10

So, the value of the expression is found to be 10 when the value of x was 2.

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Complete question - Evaluate the expression 5.x³/x² for x equals to 2.

Answer: $640

Step-by-step explanation:

100%-65%=35%

$224/35%=6.4

6.4*100%=$640

To check the solution

$640*65%=$416

$224+$416=$640

On 1 slice of pizza there will be 1/24th of the cheese and the constant of proportionality is 1/3.

Define Proportion.

The word "proportion" generally denotes a portion, share, or sum when contrasted to a total. When two ratios are equal, they are in proportion, as stated by the definition of proportion. Two ratios or fractions are equal when an equation is applied, or when a statement to that effect is made.

Two sets of supplied numbers are said to grow or fall in the same ratio in terms of proportion if they are directly proportionate to one another. For proportionality, use the symbols ":" or "=".

Given, 50lbs of cheese is used for 150 large pizzas.

For 1 pizza cheese used will be= 50/150

=1/3

So, the constant of proportionality here is 1/3.

Now, in 1 pizza there are 8 slices.

Cheese for each slice= 1/3 × 1/8

= 1/24.

Therefore, on 1 slice of pizza there will be 1/24th of the cheese.

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[tex]-\frac{1}{2} .(1 + \sqrt{3} )[/tex] is equivalent to the fraction below when x is an appropriate value .

What are equivalent expressions?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

How to solve Fractions ?

Step 1: Find the least common denominator. ...

Step 2: Multiply the least common denominator. ...

Step 3: Simplify the equation. ...

Step 4: Simplify until there's one term on both sides. ...

Step 5: Divide the coefficient on both sides.

Now,

[tex]\frac{\sqrt{13} }{\sqrt{3} - 3 } \\\\= \frac{\sqrt{3} }{\sqrt{3} - 3 }. \frac{\sqrt{3} +3 }{\sqrt{3} +3} \\\\= \frac{3 +3 \sqrt{3} }{3 - 9} \\\\= -\frac{1}{2} .(1 + \sqrt{3} )[/tex]

Hence , [tex]-\frac{1}{2} .(1 + \sqrt{3} )[/tex] is equivalent to the fraction below when x is an appropriate value .

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The area of the shaded part in the circle will be 10840.99 ft².

The circumference = 2 * pi * r = 221.056

Use this fact to find r

2*pi*r =  221.056

Divide by pi

2*r =  221.056 / 3.141

2*r =  70.378      

Divide by 2

r = 35.19

Now that you have the radius of the inner circle, use it to find the area.

Area = pi * r^2

Area = 3888.37

Now we need the radius of the outer circle

r = 35.19 + 33.3

r = 68.49

Find the area of the other circle

Area = pi * 68.49^2

Area = 14729.36

Finally the area of the shaded region is the area of the large circle - the area of the small circle

Area of the shaded area = 14729.36- 3888.37

Area of the shaded area = 10840.99 to the nearest hundredth.

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We know that a statistical technique that allows a researcher to cluster such traits as being talkative, social, and adventurous with extroversion is known as the Factor analysis.

Factor analysis is most likely a statistical procedure that identifies clusters of related items also known as factors which are on a test; used to identify different dimensions of performance that underlie one's total score.

We can say that factor analysis is more like a technique which is used in mathematics for reducing a larger number into a smaller number.

In other words, its a method for reducing a large variable into a smaller variable factor also this technique takes out the maximum ordinary variance from all of the variables and then puts them in the common score.

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To convert 80 kilograms (kg) to pounds (lb), Use the conversion factor that represents the relationship between kilograms and pounds, which is 1 kg = 2.20462 lb.

Now, to convert 80 kg to lb, multiply 80 by the conversion factor:

80 kg x (2.20462 lb / 1 kg) = 176.3696 lb

Therefore, 80 kilograms is equal to 176.3696 pounds (rounded to four decimal places). The complete mathematical expression for this conversion is:

80 kg x (2.20462 lb / 1 kg) = 176.3696 lb

A conversion factor is a mathematical expression that expresses the relationship between two units of measurement. It is used to convert measurements between units.

Conversion factors are commonly used to convert measurements between different units of measurement in math, science, and engineering. They are a useful tool for performing calculations and comparing data in various units.

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The extra income earned in monthly compounding is $142.04.

Compounding is defined as calculating interest on both the amount borrowed plus previous interest.

Given is that $10,000 is deposited into a savings account which is compounded monthly followed by compounded annually.

Annual compounding for 30 years -

Total money after annual compounding for 30 years -

T{A} = 10000 + (10000 x 0.023/1)^(30 x 1)

T{A} = $19,781.95

Monthly compounding for 30 years -

Total money after annual compounding for 30 years -

T{A} = 10000 + (10000 x 0.023/1)^(30 x 1)

T{A} = $19,923.99

Extra interest earned -

E = 19,923.99 - 19,781.95 = $142.04

Therefore, the extra income earned in monthly compounding is $142.04.

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All of the given expressions are functions, but the first three are quadratic functions, while the last one is a quadratic function with a negative constant term.

What is the function?

A function is a mathematical relationship between two variables, where each input value (independent variable) corresponds to exactly one output value (dependent variable). It is often represented using a formula or equation.

All of the given expressions are functions, but the first three are quadratic functions, while the last one is a quadratic function with a negative constant term.

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Answer:

There are 1.91 cups in a pound

The conversion of 26 Celsius to Fahrenheit is 78.8.

Celsius and Fahrenheit are two scales used to measure temperature.

Celsius, also known as the centigrade scale, is a temperature scale where the freezing point of water is 0 degrees Celsius and the boiling point of water is 100 degrees Celsius at standard atmospheric pressure.

To convert Celsius to Fahrenheit, you can use the following formula:

°F = (°C x 9/5) + 32

where °C is the temperature in Celsius and °F is the temperature in Fahrenheit.

Substituting the value of 26 °C in the formula, we get:

°F = (26 x 9/5) + 32

°F = (46.8) + 32

°F = 78.8

Therefore, 26°C is equivalent to 78.8°F in Fahrenheit.

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Correct Question :

What is the conversion of 26 Celsius to Fahrenheit ?

Answer:

50% smaller

Step-by-step explanation:

The inequality for solving the problem is d * cost per day + 275 * $0.10 ≤ $140

To solve this problem, we need to write an inequality that represents the total cost of renting the car and driving the planned miles. The total cost is the sum of the daily rental fee (d times the cost per day) and the cost of driving the planned miles (275 times $0.10 per mile). We can write the inequality as follows:

d * cost per day + 275 * $0.10 ≤ $140

Next, we need to solve for d, the number of days Salma can afford to rent the car. To do this, we can rearrange the inequality to isolate d on one side:

d * cost per day ≤ $140 - 275 * $0.10

d ≤ ($140 - 275 * $0.10) / cost per day

Now we can plug in the given cost per day for the car rental and solve for d. For example, if the cost per day is $30, we would have:

d ≤ ($140 - 275 * $0.10) / $30

d ≤ ($140 - $27.50) / $30

d ≤ $112.50 / $30

d ≤ 3.75

Since Salma cannot rent the car for a fraction of a day, we need to round down to the nearest whole number. Therefore, Salma can afford to rent the car for at most 3 days while staying within her budget.

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Answer: We can use the formula for the price elasticity of demand to solve this problem:

Price elasticity of demand = percent change in quantity demanded / percent change in price

We are given that the price of chicken breast rises from $3.00 to $3.60 per pound, which is a 20% increase:

percent change in price = (3.60 - 3.00) / 3.00 = 0.20 = 20%

We are also given that the demand for chicken breast falls by 25%, which is a 25% decrease:

percent change in quantity demanded = -25%

Using these values in the formula, we get:

Price elasticity of demand = (-25%) / (20%) = -1.25

Since we are interested in the absolute value of the price elasticity of demand, we have:

|Price elasticity of demand| = |-1.25| = 1.25

A price elasticity of demand greater than 1 is considered elastic, and a price elasticity of demand less than 1 is considered inelastic. Therefore, the answer is (d) 1.25; elastic.

Step-by-step explanation: