PLEASE HELP!!!!
The box plot displays the number of flowers planted in a town last summer.
10
Flowers Planted In Town
13 14 15 16 17 18 19 20 21 22 23 24
Number of Flowers
Which of the following is the best measure of center for the data shown, and what is that value?
O The mean is the best measure of center and equals 12.
O The mean is the best measure of center and equals 10.
The median is the best measure of center and equals 12.
30 31
The median is the best measure of center and equals 10.

The area of the smaller rectangle (KLMN) is 16.

Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.

Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.

We can set up the proportion:

(x/y) = (20/16)

To find the area of the smaller rectangle, we need to determine the ratio of their areas.

Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:

(Area of ABCD)/(Area of KLMN) = (x²)/(y²)

We are given that the area of ABCD is 25, so we have:

25/(Area of KLMN) = (x²)/(y²)

To find the area of KLMN, we need to substitute the values of x and y from the proportion:

25/(Area of KLMN) = (20/16)²

Simplifying the right side:

25/(Area of KLMN) = (5/4)²

25/(Area of KLMN) = 25/16

Cross-multiplying:

25 × 16 = 25 × (Area of KLMN)

400 = 25 × (Area of KLMN)

Dividing both sides by 25:

16 = Area of KLMN

Therefore, the area of the smaller rectangle (KLMN) is 16.

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Mr. Casey's class raised $448 during the fundraiser.

Percentage is simply number or ratio expressed as a fraction of 100.

Given that, Ms. Dawson’s class raised $560, which is 25% more than Mr. Casey’s class raised.

To determine ​how much Mr. Casey’s class raised,

We represent the amount raised by Mr. Casey's class as "x".

Since Ms. Dawson's class raised 25% more than Mr. Casey's class.

To calculate 25% more than x, we can multiply x by 1.25

(since 25% is equivalent to 0.25 in decimal form and 100% is 1) and set it equal to $560.

Hence:

1.25x = 560

To solve for x, we divide both sides of the equation by 1.25:

x = 560 / 1.25

x = 448

Therefore, Mr. Casey's class raised $448.

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The break even number is 500 units

The parameters given in the question are

Fixed expenses is $7,000

Contribution margin is $14/unit

The formular for break even number is

= fixed expenses/contribution margin

= 7000/14

= 500

The break even number is 500 units

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The Range of a generic Exponential Equation such as 5³ uis y>0.

The range of a generic exponential equation such as 5³ depends on the specific form of the equation.

However, based on the given options, the correct answer would be:

y > 0

The range of exponential functions with a positive base (such as 5³) is always greater than zero.

This means that the output values (y) of the function will be positive for all possible input values (x).

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The ordered pair that represents the point plotted and labeled A include the following: (−1, 2).

In Mathematics and Geometry, the translation of a graph to the left simply means a digit would be subtracted from the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph upward means a digit would be added to the numerical value on the y-coordinate (y-axis) of the pre-image.

g(x) = f(x) + N

Note: "Point A is one unit left and two units up from the origin. "

Since point A is one unit left and two units up from the origin (0, 0), we can logically deduce the following:

(x, y)                   →           (x - 1, y + 2)

Origin (0, 0)        →           (0 - 1, 0 + 2) = point A (-1, 2).

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Answer:

A: -2 + 3i

B: -1 + -1i

C: 3 + -4i

D: 4 + 1i

Step-by-step explanation:

These are the answers, Basically just normal graphing. run/rise.

I hope this helps! :)))))

If they maintain a constant speed the entire way, Michelle and Temba would have covered 140 km in 1 hour and 24 minutes.

The following equation can be used to determine the average speed of Michelle and Temba:

Distance x time speed

They covered 30 kilometers in 18 minutes, so their average speed is:

speed = 30 / (18 / 60) = 30 / 0.3, or 100 km/hr.

They would have traveled the following distance in 1 hour and 24 minutes, or in 1 hour + (24 / 60) hours, or 1.4 hours:

The distance= speed × time, or 100 × 1.4 = 140 km.

Therefore, it is important to remember that their speed and the actual distance they travel can be impacted by real-world variables like traffic, road conditions, and vehicle maintenance.

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complete question :-

Michelle and Themba are travelling from cape town to Johannesburg by car. they travel 30km in 18 minutes and continue at a constant speed. how far will they have travelled in 1 hour 24 minutes?​

Step-by-step explanation:

According to the chart:

- The dividend for the third quarter was $35/share

- The dividend for 55 shares during the third quarter would be 55 x $35/share = $1925

Therefore, the dividend paid for 55 shares of the stock during the third quarter was $1925.

The solution to the limit: lim x → 0 cosec2x-xcosec^3(x)

First, we can use the identity [tex]cosec^2(x) = 1 + cot^2(x)[/tex] to rewrite the expression as:

lim x → [tex]0 (1 + cot^2(x)) - x cot^3(x)[/tex]

Next, we can use the limit lim x → 0 cot(x) = 1 to evaluate the limit of the first term:

lim x → 0 [tex](1 + cot^2(x)) = 1 + lim x → 0 cot^2(x)[/tex]

Since lim x → 0 cot(x) = 1, we know that lim x → [tex]0 cot^2(x) = 1:[/tex]

lim x → 0 [tex](1 + cot^2(x)) = 1 + 1[/tex]

This gives us:

lim x → 0 [tex](1 + cot^2(x)) - x cot^3(x) = 2 - x cot^3(x)[/tex]

Now, we can use the limit lim x → 0 cot^3(x) = 0 to evaluate the limit of the second term:

lim x → [tex]0 2 - x cot^3(x) = 2 - 0[/tex]

This gives us the final answer:

lim x → [tex]0 cosec2x-xcosec^3(x) = 2[/tex]

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The calculated value of 3 divided by (2/5+23)+4 is 4 15/117

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

3 divided by (2/5+23)+4

Evaluate the expression in bracket

So, we have

3 divided by (2/5+23)+4 = 3 divided by (23 2/5)+4

This gives

3 divided by (2/5+23)+4 = 3 divided by (117/5)+4

Open the brackets

So, we have

3 divided by (2/5+23)+4 = 3 * 5/117+4

Evaluate

3 divided by (2/5+23)+4 = 15/117+4

Add the fractions

3 divided by (2/5+23)+4 = 4 15/117

Hence, the value of 3 divided by (2/5+23)+4 is 4 15/117

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The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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The vertex of the parabola of the given quadratic equation is (-5, 1).

The given quadratic equation is y²+4x-2y+21=0.

Rewrite in vertex form and use this form to find the vertex (h,k).

Here, y²-2y=-4x-21

Add 1 to both the sides of an equation, we get

y²-2y+1=-4x-21+1

(y-1)²=-4x-20

(y-1)²= -4(x+5)

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

So, the vertex (-5,1)

Therefore, vertex of the parabola of the given quadratic equation is (-5, 1).

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"Your question is incomplete, probably the complete question/missing part is:"

Complete the square to find the vertex of this parabola.

y²+4x-2y+21=0.

The boiling point of water is approximately 100 degrees Celsius or 212 degrees Fahrenheit at standard atmospheric pressure.

This temperature represents the point at which water transitions from a liquid state to a gaseous state, forming water vapor. It is a well-known and crucial property of water, widely used as a reference point in various scientific, industrial, and everyday applications.

The boiling point of water is influenced by atmospheric pressure, with lower pressures resulting in a lower boiling point and higher pressures leading to a higher boiling point. For instance, at higher altitudes where atmospheric pressure is lower, water boils at temperatures below 100 degrees Celsius.

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The time he start shopping is 2 : 00 PM

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

Time spent = 25 minutes

Time he left the store = 2 : 25PM

Using the above as a guide, we have the following:

Time he started = Time he left the store - Time spent

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

Time he started = 2 : 25PM - 25 minutes

Evaluate

Time he started = 2 : 00 PM

Hence, the time he start shopping is 2 : 00 PM

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The probability that a student earns a grade of B is 0.25 or 25%.

We are given that;

The frequency table

Now,

To find the probability that a student earns a grade of B, we need to divide the frequency of students who earned a grade of B by the total number of students:

P(B) = frequency of B / total frequency

The frequency of students who earned a grade of B is 35 and the total frequency is:

28 + 35 + 56 + 14 + 7 = 140

Substituting these values into the formula above, we get:

P(B) = 35 / 140 = 0.25

Therefore, by probability the answer will be 0.25 or 25%.

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The area of the composite figure = (8π+ 6) in².

We have, Height of triangle = 3 in

Radis of Semicircle = 4 in

Now, area of Semicircle

= πr²/2

= 3.14 x 4²/2

= 25.12 in²

= 8π in²

and, Area of Triangle

= 1/2 x base x height

= 1/2 x 4 x 3

= 6

So, the area of the composite figure

= (8π+ 6) in²

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The area of the composite figure is (8π + 12) in.² So option B is correct.

The given figure consists of 2 triangles and a semicircle.

Given,

The base of the triangle = 4 inches.

The height of the triangle = 3 inches

So the area of the triangle is = 1/2 × base× height

                                                =1/2× 4 × 3

So the area of the triangle is = 6 in².

The radius of the semicircle is= 4 inches,

So,

Area of semicircle= πr²/2

                             = π × 4×4/2

                              =8π in².

So the total area of the composite figure is the area of two triangles + the area of the semicircle which is = 6+6 +8π in²

= 8π +12 in².

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The sets A and B are not equal, but they are equivalent.

We have,

The concept used is set notation and comparison.

a)

The sets A and B are equivalent because they contain the same elements, which are real numbers (x) that satisfy the given conditions.

b)

Sets A and B are not equal because the condition in Set A includes endpoints 97 and 102, while the condition in Set B excludes endpoints 96 and 103.

Therefore, the sets have different boundaries and elements.

Thus,

The sets A and B are not equal, but they are equivalent.

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Jordan needs 18.72 yards of blue ribbon.

This will require 12.48 spools of blue ribbon.

The total cost of the blue ribbon will be $18.44.

24 yards of ribbon * 0.78 = 18.72 yards of blue ribbon

18.72 yards of blue ribbon / 150 inches/spool = 12.48 spools of blue ribbon

12.48 spools of blue ribbon * $1.48/spool = $18.44

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Answer:

thank you so much

Step-by-step explanation:

for the information

Sure. Will do. .........................................................................

If the graph of [tex]f(x) = 4e^{0.1x}[/tex] is blue, then the graph of [tex]f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}[/tex] is: C. red.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

[tex]f(x) = a(b)^x[/tex]

Where:

For the rate of change of the blue exponential function [tex]f(x) = 4e^{0.1x}[/tex], we have the following:

b = [tex]e^{0.1}[/tex]

b = 1.11

For the rate of change of this exponential function [tex]f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}[/tex], we have the following:

b = 1 + 0.1/0.5

b = 1.2

Therefore, this exponential function [tex]f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}[/tex] is represented by the red line on the graph.

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The area measured is 129 .

Given function,

y=2x²+4x+3

Now,

The area under the curve is given by integration over the specified region.

Thus,

[tex]\int\limits^5_2 {2x^2 + 4x + 3} \, dx[/tex]

Now integrating the above function,

[tex]\int\limits^5_2 {2x^2} \, dx + \int\limits^5_2 {4x} \, dx + \int\limits^5_2 {3} \, dx[/tex]

Solving the integration and put the limits.

Thus,

Area under the curve is 129 .

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The solution to the inequality x² - 9x < -18 contains all true values contained in the interval 3 < x < 6.

Given the inequality in the question:

x² - 9x < -18

Convert the inequality to equation:

x² - 9x = -18

Move all terms to one side of the equation to obtain a quadratic expression equal to zero:

x² - 9x + 18 = -18 + 18

x² - 9x + 18 = 0

Next, factorize the quadratic expression using the AC method:

x² - 9x + 18 = 0

( x - 6 ) ( x - 3) = 0

Set each factor equal to zero and solve for x:

( x - 6 ) = 0

x - 6 = 0

x = 6

( x - 3) = 0

x - 3 = 0

x = 3

Now, use each root to create intervals:

x < 3  ( False )

3 < x < 6 ( True )

x > 6 ( False )

Therefore, the solution is 3 < x < 6 .

Option D) 3 < x < 6 is the correct answer.

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Answer:

Step-by-step explanation:

Not sure how to solve this problem as the margin of error is based on the average that the man found, but the average is not given. Please update this question. A margin of error of 2% means that there is only a 2% difference. And here it would be at 6.732 or 6.48 as the new mean

The number of sheets of plastic that Katie would need is 2 sheets of plastic.

In Mathematics, the surface area of a square pyramid can be calculated by using this mathematical equation:

Surface area of square pyramid = [tex]a^2+2a\sqrt{(\frac{a}{4})^2 +h^2}[/tex]

where:

For the height, we have:

8.8² = h² + (13.2/2)²

77.44 = h² + 43.56

h² = 77.44 - 43.56

h = √33.88

Height, h = 5.8 m.

By substituting the given side lengths into the formula for the surface area of a square pyramid, we have the following;

Surface area of square pyramid = [tex]13.2^2+2(13.2)\sqrt{(\frac{13.2}{4})^2 +5.8^2}[/tex]

Surface area of square pyramid = 406.2 ft².

Now, we can determine the number of sheets of plastic:

Number of sheets of plastic = 406.2/14²

Number of sheets of plastic = 406.2/196

Number of sheets of plastic = 2.07 ≈ 2 sheets of plastic.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The equivalent expression of  -4(5x-9)+6(2x+5) is 28x + 30.

The given expression is,

-4(5x-9)+6(2x+5)

We know that,

Equivalent expressions are expressions that perform the same function notwithstanding their appearance. If two algebraic expressions are equivalent, they have the same value when the same value for the variable are used.

And Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

Now to find the equivalent of it simplifying this,

Open the brackets,

⇒ -20x + 36x + 12x + 30

⇒  28x + 30

Thus,

Equivalent expression is 28x + 30.

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The perimeter of figure is,

P = 24.50 feet

And, the area of the figure is,

A = 45.68 feet²

Since, we know that;

The perimeter of a circle is equal to the circumference

C = 2πr

where,

C is the circumference of the circle

r is the radius of the circle

we have, r = 4 feet

substitute in above equation,

C = 2 × 3.14 × 4

C = 25.12 feet

In the figure

the triangle ABC is a right triangle,

Applying the Pythagoras Theorem find the length side CB

CB² = AB² + AC²

we have, AB = AC = 4 feet

CB² = 4² + 4²

CB² = √32

CB = 5.67 feet

The perimeter of the figure is equal to 3/4 of the circumference plus the length side CB

so we get;

P = 3/4 (25.12) + 5.66

P = 24.50 feet

Now, we know that,

the area of a circle is equal to

A = πr²

where, r is the radius of the circle

we have, r = 4 feet

substitute

A= 3.14 × 4²

A = 50.24 feet²

the area of the triangle ABC is equal to,

A = 1/2 bh

Here, b = √32 ft

h = √32/2 ft

Hence, WE get;

A = 1/2 x √32 x √32/2

A = 8 feet²

Since, the area of the figure is equal to 3/4 of the area of the circle plus the area of the triangle ABC,

A = 3/4 (50.24) + 8

A = 45.68 feet²

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The percentage of the men  that weighed between 57 kg and 75 kg is 68%.

The percentage of the men  that weighed between 57 kg and 75 kg is calculated by applying normal distribution formula.

In a standard normal distribution curve, we have the following;

One standard deviation below the mean = M - S.D = 34%

One standard deviation above the mean = M + S.D = 34%

The number of men that would weigh 57kg is calculated as;

M - S.D = 66 - 9

M - S.D = 57

The number of men that would weigh 75kg is calculated as;

M + S.D = 66 + 9

M + S.D = 75

So we can see that 57 and 75 lie between one standard deviation below the mean and one standard deviation above the mean.

The total probability = 34% + 34% = 68%

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The value of x is; x = 3.14

Here, we have,

from the given diagram, we get,

there is a right angle triangle.

we have to find the value of x.

we know that,

Let the angle be θ , such that

cos θ = base / hypotenuse

here, we get,

cos 17 = 3/x

so, we have,

0.956 = 3/x

so, x = 3.14

Hence, The value of x is;x = 3.14

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Answer:

-2 cannot be an answer in the context of this question

Step-by-step explanation:

Because the shapes are physical objects, they can NOT have a negative answer as the area. If just the rectangle had -2 as a solution, it would still be viable since the end result would still be positive but since x is also the measure of the square, it is not viable. It is not possible, in this context, to have a negative solution because its a shape's area.

The sum of all of your customer Accounts Receivable is listed as part of Current Assets on your balance sheet.

A current asset is described as  any asset which can reasonably be expected to be sold, consumed, or exhausted through the normal operations of a business within the current fiscal year or operating cycle or financial year.

The Current assets generally fall under one of six sub-accounts in the Current Assets account and they include:

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