In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 4 boys and 14 girls are competing, how many different ways could the six medals possibly be given out?​

The total dinner cost, including the tip, comes at $92.40.

A lunch for a few friends will set you back $82.95

They want to leave a 15% tip.

So,

Amount of tip:

15 % of 82.95 = 15*82.95 / 100

15 % of 82.95 = 12.4425

Total cost =  82.95 + 12.4425

Total cost =  95.3925

Total cost =  $92.40

Thus, the total dinner cost, including the tip, comes at $92.40.

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The graph of the function f(x) = 4sin(2x) is illustrated in the image.

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

We know sin(x) is a periodic function with amplitude 1 and a period of 2π.

Therefore, A periodic function with amplitude 4 and period π would be,

f(x) = 4sin(2x).

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Stacy's statement is incorrect because Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence.

Reflexive Property of Congruence:

Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence.

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Answer:

B

Step-by-step explanation:

Based on the information provided, it is not possible to determine the hypothesis of the tire company. Therefore, options C and D can be eliminated.

Option A suggests that no hypothesis was provided, which may be possible. However, it is implied that the hypothesis was related to the proposed improved performance in wet conditions of the new tire. Therefore, option A may not be the best answer.

Option B suggests that the hypothesis was neither verified nor refuted. This is a common outcome in many experiments, and it is possible that the tire company may draw this conclusion based on the data. Therefore, option B is the most likely answer.

So, the tire company MOST LIKELY would infer that the hypothesis was neither verified nor refuted based on this data.

Answer:

= 3x² + 7 +2x³.

Step-by-step explanation:

Here is my solution to my answer.

The like terms in the given options are 3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

Terms whose variables (such as x or y) with any exponents (such as the 2 in x²) are the same are called like terms,

Examples: 7x and 2x are like terms because they are both "x".

Given are some pairs of expressions, we are asked to identify which are like terms,

We know that, according to the definition of the like terms,

Like terms are those terms which contain the same variable which is raised to the same power,

Therefore, the expressions showing the like terms are,

3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

Because, they have same variable with same powers.

Hence, the like terms in the given options are 3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

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The angular speed in radians per minute of the cyclist riding a bike with wheels of diameter 26 inches at a speed of 22 miles per hour is approximately 1124.65 radians per minute.

The formula for the angular speed is:

angular speed = linear speed / radius

where the radius is half the diameter of the wheel. We need to convert the units to be consistent, so let's convert the speed from miles per hour to inches per minute and the diameter from inches to feet:

22 miles per hour = 22 * 5280 feet per hour / 60 minutes per hour

                              ≈ 2437.3 inches per minute

26 inches = 26/12 feet = 2.1667 feet

Now we can calculate the angular speed:

angular speed = 2437.3 / 2.1667 ≈ 1124.65 radians per minute

Your question is incomplete, most likely it was:

A cyclist is riding their bicycle on flat terrain at a speed of 22 miles per hour. the wheels on the bike have a diameter of 26 inches.

Find the angular speed in radians per minute.

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The quadratic equation with integer coefficients that has the given solution set {-10, 9} is x² + x - 90 = 0.

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

If the given solution set is {-10, 9}.

Then the quadratic equation can be written in factored form as:

(x + 10) (x - 9) = 0

Expanding the product,

x² + x - 90 = 0

Therefore,

The quadratic equation with integer coefficients that has the given solution set {-10, 9} is x² + x - 90 = 0.

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Answer:

311 fl oz only were used, that is what I got for your answer..

The answer is 49 fl oz

The value of the function is -19.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -3x + 2

Substitute x = 7.

f(7) = -3 x 7 + 2

f(7) = -21 + 2

f(-7) = -19

Thus,

-19 is the value.

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The volume of the right cone is (c) 400π cm cube

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

Radius = 10 cm

Height = 12 cm

The volume of the cone is calculated as

Volume = 1/3πr²h

Substitute the known values in the above equation, so, we have the following representation

Volume = 1/3π * 10² * 12

Evaluate

Volume = 400π

Hence, the volume is 400π cm cube

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Answer: Let's call the amount of the check Craig wrote to the hardware store "x".

According to the problem, the statement from Craig's bank shows an ending balance of $521.60. This means that his balance before writing the check was $521.60 + x.

So, we can write the equation:

$521.60 + x = $521.60

Subtracting $521.60 from both sides:

x = 0

This means that Craig's check was for $0.

Step-by-step explanation:

The equation to find the total distance would be 60t.

What is total distance?

Whole distance refers to the actual distance between the origin and destination locations of the substance.

The distance traveled is equal to the speed multiplied by the time traveled, which gives the formula:

d = 60t

where d is the total distance traveled in miles, and t is the time traveled in hours.

Therefore, The equation to find the total distance would be 60t.

The table is below:

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Answer: 16.2 km

Step-by-step explanation:

The height of the triangle can be found using the area formula for triangles:

Area = (1/2) × base × height

Rearranging the formula to solve for the height gives:

height = (2 × Area) / base

In this case, the area of the triangle is 64.8 km² and the base is given as 8 km. So, the height of the triangle can be calculated as:

height = (2 × 64.8 km²) / 8 km

height = 16.2 km

Answer:

7.2 km

Step-by-step explanation:

the formula for the area of a triangle is 1/2*b*h where b is its base and h is its height. now let's solve for the height

64.8=1/2*18h

64.8=9h

64.8/9=h

7.2 km=h

The value of the third quartile is approximately 7.00, rounding it up to two decimal places.

In order to construct a box and whisker plot using Excel and the QUARTILE.INC function we will follow the steps -

Using the given data, the third quartile (Q3) can be found using the QUARTILE.INC function in Excel as follows -

Using this method, rounding the result to two decimal places we get,

Q3 = QUARTILE.INC({7, 6, 7, 6, 7, 8, 3, 2, 6}, 3)

Q3 ≈ 7.00 (rounded to two decimal places)

Therefore, the value of the third quartile is approximately 7.00.

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Answer:

its only -11x^2

Step-by-step explanation:

2x^2 and -11x^2 have the same variable.

The probability of being dealt a five-card poker hand that contains all hearts is approximately 0.000495, or 0.0495%.

Probability is the measure of the likelihood of an event happening, and it is expressed as a number between 0 and 1. The closer the number is to 0, the less likely the event is to occur, and the closer it is to 1, the more likely it is to occur.

Now, let's look at the first question: what is the probability of drawing six cards from a standard deck of cards and getting four aces and two kings?

So, the number of combinations of six cards from a deck of 52 cards is:

52C6 = 52!/6!(52-6)! = 20,358,520

Next, we need to find out how many ways we can draw four aces and two kings from the deck. There are 4 aces and 4 kings in a standard deck of cards, so the number of ways to draw four aces and two kings is:

4C4 x 4C2 = 1 x 6 = 6

The first factor, 4C4, represents the number of ways to draw all 4 aces, and the second factor, 4C2, represents the number of ways to draw 2 kings from the remaining 4 kings.

Finally, we can calculate the probability of getting four aces and two kings by dividing the number of ways to draw four aces and two kings by the number of combinations of six cards from the deck:

P(four aces and two kings) = 6/20,358,520 = 0.000000294

So, the probability of randomly drawing six cards from a standard deck of cards and getting four aces and two kings is approximately 0.00000029, or 0.0000294%.

Now, let's move on to the second question: what is the probability that a five-card poker hand is dealt to you that contains all hearts?

In a standard deck of cards, there are 13 hearts and 52 cards in total, so the probability of drawing one heart from the deck is 13/52, or 1/4. The probability of drawing five hearts in a row is the product of the probabilities of drawing each heart, since each card is drawn without replacement:

P(five hearts) = (13/52) x (12/51) x (11/50) x (10/49) x (9/48) = 0.000495

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Answer:

b

Step-by-step explanation:

b seeds snd fertilizer

Answer:

= 34

Step-by-step explanation:

(32)-5+7

32 - 5 + 7

= 32 + 2

= 34.

Answer:

the value of x will be 9 they all are similar so we will just take ratios and do cross multiplication

The graph is plotted and attached

The oxygen level will be increasing as time goes on

In 0.5 weeks the oxygen level will return to 75% of its normal level

This is the end behavior of the graph, of the function f(t) = t^2 − t + 1, the graph shows that as t tends to infinity. the oxygen level will continue to increase.

The graph is plotted and attached

From the problem. the normal level of oxygen is at f(0) = 1

75% of 1 = 0.75

From the graph, the oxygen level will return to normal level in 1 week(1, 1) and at 0.5 the oxygen level is 0.75, (0.5,0.75). This is the vertex of the graph.

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Lab2.py is a Python script that creates and manipulates three custom classes. The classes are as follows:

1. Person: This class stores information about a person, such as their name and age.

2. Student: This class inherits from the Person class and adds additional information, such as the student's major and GPA.

3. Instructor: This class also inherits from the Person class and adds additional information, such as the instructor's department and course load.

A file lab2.py and define three classes, polygon, rectangle, triangle is:

class Polygon:

 def __init__(self, number_of_sides):

   self.number_of_sides = number_of_sides

class Rectangle(Polygon):

 def __init__(self, length, width):

   Polygon.__init__(self, 4)

   self.length = length

   self.width = width

 def area(self):

   return self.length * self.width

class Triangle(Polygon):

 def __init__(self, base, height):

   Polygon.__init__(self, 3)

   self.base = base

   self.height = height

 def area(self):

   return 0.5 * self.base * self.height

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The equation of the graphed line can be found to be 2x + 2 y = 4

To find the equation of the line, you first need to find the slope which requires picking two points on the line. ( 4, 0 ) and ( 0, 2 )

The slope is:

= Change in y / Change in x

= ( 0 - 2 ) / ( 4 - 0 )

= - 2 / 4

= - 1 / 2

The equation form is:

y = mx + b

m = slope

b = y - intercept which is shown on the line as 2

The equation is:

y = - 1 / 2 x + 2

To put it in the form on the question,

( y = - 1 / 2 x + 2 ) x 2

2 y = - 2 x + 4

2x + 2 y = 4

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The given decimal in fraction as 1181/20.

Steps for conversion:

The given decimal number is 59.05

Here, multiply 100 to both the numerator and denominator of the decimal, that is

59.05/1 ×100/100

= 5905/100

= 1181/20

Therefore, the fraction is 1181/20.

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To find the percentile of a normal distribution, first determine the mean, then convert the interested value to a standard score, look-up the normal distribution table to find the area to the left of the normal score. Finally, multiply the area by 100.

             z = (x - μ) / σ

        where x is the value of interest.

For example, suppose you want to find the percentile of a test score of 85, which comes from a normal distribution with a mean of 75 and a standard deviation of 10.

            z = (85 - 75) / 10 = 1

           0.8413 * 100 = 84.13

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Answer:

m ≥ 6

Step-by-step explanation:

The question asks us to solve the following inequality:

[tex]8m - 8 \geq 40[/tex].

To solve it, we need to make m the subject of the inequality:

[tex]8m - 8 \geq 40[/tex]

⇒ [tex]8m - 8 + 8 \geq 40 + 8[/tex]          [Adding 8 to both sides of inequality]

⇒ [tex]8m \geq 48[/tex]

⇒ [tex]\frac{8}{8}m \geq \frac{48}{8}[/tex]              [Dividing both sides of inequality by 8]

⇒ [tex]m \geq \bf 6[/tex]

Therefore, the solution to the inequality is m ≥ 6.

The value of the equation is 4.19p = -6.1

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2.3p - 10.1 = 6.5p - 4 - 0.01p

On simplifying , we get

Adding 4 on both sides , we get

2.3p - 6.1p = 6.49p

Subtracting 2.3p on both sides , we get

4.19p = -6.1

Now , the value of the equation similar to 4.19p = -6.1 is 2.3p - 6.1p = 6.49p

Hence , the equation is 4.19p = -6.1

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In  linear equation, √2a² is the value of a .

What are examples of linear equations?

Ax+By=C represents a two-variable linear equation in its standard form. As an illustration, the conventional form of the linear equation 2x+3y=5 It is rather simple to locate both intercepts when an equation is stated in this way (x and y).

                                    An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

      k = √f + f

       f = a²

      k = √a² + a²

         = √2a²

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The graph shown is the graph of the cotangent function.

The graph of the cotangent function, cot(x), is a periodic function that has a period of 2π. The cotangent function is the reciprocal of the tangent function, so its graph is related to the graph of the tangent function.

Like the tangent function, the cotangent function has singularities at x = (n + 1/2)π where n is an integer. At these points, the function has a vertical asymptote, meaning it approaches positive and negative infinity as x approaches (n + 1/2)π from either side.

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An equation in Ax + By=C form for this line include the following: -3x + y = 19.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

At data point (-6, 1), a linear equation of this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (1) = 3(x - (-6))

y - 1 = 3x + 18

y = 3x + 18 + 1

y = 3x + 19

In standard form, we have:

-3x + y = 19.

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