Which polynomial represents the area?

By answering the presented question, we may conclude that Therefore, equation the markdown in dollars is $3.66.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

To find the markdown in dollars,

x - 0.20x = 14.65

0.80x = 14.65

x = 18.31

Therefore, the original price of the tote bags was $18.31.

Markdown in dollars = Original price - Sale price

= $18.31 - $14.65

= $3.66

Therefore, the markdown in dollars is $3.66.

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Answer: from my understanding my anwser was 5600 im sorry if it not correct

Step-by-step explanation:

Answer:

5600

Step-by-step explanation:

Answer:

1200

Step-by-step explanation:

since he can type 40 words per minute just times 40 by 30

The standard deviation = 7.65

The variance = 58.55

The given data are:

x = 19.9, 3.7, 24.6, 4.9, 13.5, 4.4, 19, 18.1

The mean is calculated as:

The standard deviation is given by the formula:

The variance = SD²

The variance = 7.65²

The variance = 58.55

Answer:

4/7

Step-by-step explanation:

first simplify it to 12/21 when you divide both sides by 2

then simplify to 4/7 when you divide both sides of 12/21 by 3

Answer:

4/7

Step-by-step explanation:

Both numbers in the fraction are divisible by 6, so to simplify it, divide each number by 6:

24/6 = 4

42/6 = 7

Then, put these 2 numbers in fraction form:

4/7

So, 4/7 is the simplified fraction.

Copying the data set into another program allows you to leverage the capabilities of that program for Statistical analysis.

The provided data set can be copied into another program, such as a spreadsheet or a statistical software program, to perform various data analysis tasks. Let's explore some common operations that can be performed using the data set.

1. Descriptive Statistics: By copying the data set into a spreadsheet or statistical software, you can calculate various descriptive statistics, such as the mean, median, mode, standard deviation, and range of the data. These statistics provide insights into the central tendency, variability, and distribution of the data.

A

1   4

2   8

3   9

4   5

5   2

6   7

7   7

8   5

9   8

2. Data Visualization: Once the data set is copied, you can create visualizations to better understand the data. This can include bar charts, histograms, line plots, or box plots, depending on the nature of the data and the insights you want to gain.

3. Data Manipulation: Copying the data set into a spreadsheet allows you to manipulate and transform the data as needed. You can perform operations like sorting, filtering, grouping, and calculating new variables based on existing ones. This enables you to extract meaningful information from the data set.

4. Statistical Analysis: If you are using statistical software, you can conduct advanced statistical analyses on the data set. This may involve regression analysis, hypothesis testing, analysis of variance (ANOVA), or clustering techniques, depending on the specific research question or objective.

5. Data Integration: If you have additional data sets or variables related to the given data set, copying it into a program allows you to merge or join different data sets, thereby enriching the analysis and providing a more comprehensive understanding of the data.

Overall, copying the data set into another program empowers you to perform a wide range of data analysis tasks, enabling you to explore, understand, and draw meaningful insights from the data.

In summary, copying the data set into another program allows you to leverage the capabilities of that program for statistical analysis, calculations, and visualizations, enabling you to gain deeper insights and draw meaningful conclusions from the data.

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Answer:

-1

Step-by-step explanation:

3-2*r=5

-2*r=5-3

-2*r=2 /:(-2)

r= -1

Step-by-step explanation:

\( \sf{3 -2 \times r \: = 5}\)

\( \sf{3 - 2r = 5}\)

\( \sf{ - 2r = 5 - 3}\)

\( \sf{ - 2r = 2}\)

\( \sf{ r = \dfrac{\cancel{2}}{\cancel{-2}}}\)

\( \boxed{ \bf{r = - 1}}\)

Step-by-step explanation:

The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.

The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.

To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:

For y = sin(x):

x = 0, y = 0

x = π/2, y = 1

x = π, y = 0

x = 3π/2, y = -1

x = 2π, y = 0

For y = sin(2x):

x = 0, y = 0

x = π/2, y = 0

x = π, y = 0

x = 3π/2, y = 0

x = 2π, y = 0

As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).

Therefore, the correct statement is: It is compressed horizontally.

Answer:

24u^2

Step-by-step explanation:

Divide the figure into two quad-l's.

5x4

2x2

------

20

4

-----

24

-----

The answer is 24 units squared.

Hope this helped!

The new coordinates of the reflected point will be (2, 2).

In mathematics, reflection is a transformation that "flips" an object over a line or plane. Reflection is a type of symmetry, where an object appears exactly the same after being reflected as it did before.  

When a point is reflected across the y-axis, its x-coordinate changes sign while its y-coordinate remains the same.  

Here we have

The point (-2, 2) is reflected across the y-axis

When a point is reflected across the y-axis, its x-coordinate changes sign while its y-coordinate remains the same.

The new coordinate of the point = (-(-2), 2) = (2, 2)

Therefore,

The new coordinates of the reflected point will be (2, 2).

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To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

If each term in the sum a1+a2+a3...+an is  7 and the sum equals 350, C: 40 would be equal to n.

In equation form, it is:  

                  7s +  77t = 350

In this equation,

          s represents the number of 7's

          t represents the number of 77's

          thus, the number of terms i.e n = s + t =?

now solving the equation,

        7 (s + 11t) = 350

        7 (s + 11t) = 350

            s + 11t = 50

            s + 11t = 50

now, if  

       s=39     &      t =1  

then

         s + 11t = 50 -> 39 + 11 (1)  = 50

Since the number of terms n = s + t

        n = s + t

        n = 39 + 1

        n = 40

Hence, the if each term in the given sum is 7 which gives a total sum as 350, then number of terms in the given series is 40.

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Answer:500 I hope this helpful

Step-by-step explanation:

3000 divided by 48 times 8

To make the calculation easier, first multiply the numbers that result in multiples of 10

24000 divided by 48

Divide the numbers
=500

Answer:

250

Step-by-step explanation:

If we follow the rules of PEMDAS, we go from left to right. Therefore, first, do 3,000 divided by 48.

3,000/48=62.5

Now, multiply 62.5 by 4.

62.5x4= 250

250 is your answer :D

Hope this helps and have a wonderful day!

Answer:

3x + y = 17   --------(1)

2x + y = 12 ---------(2)

from (1) : y = 17 - 3x.

Substitute y in (2)

2x + (17 -3x) = 12

2x + 17 -3x = 12

-x = 12 - 17

-x = -5

x = 5

Substitute x in (1)

3(5) + y = 17

15 + y = 17

y = 17 -15

y = 2

Answer : x = 5, y = 2

Answer:

Area = 3,125 units squared

Step-by-step explanation:

5^3= 5 x 5 x5 = 125

5^2= 5 x 5 = 25

Area = L x W = 125 x 25 = 3,125 ^2

Answer:

D. its a two dimensional object

Answer:

A. It is a polygon

C. It is a one-dimensional object

The shape is a polygon in two dimensions since a polygon must have at least three straight sides.

Answer:

2.95

Step-by-step explanation:

Answer:

6 over 9 = 6/9 11 over 88 = 11/88 6/9 = 0.6667(repeating) 11/88 = 0.125

P.S. Dont fall for those link scams! ;)

Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D

Answer:
X-intercepts: -1 and 3

Y-intercepts: 3
Vertex: (1, 4)
Axis of Symmetry: y= -1x + 3x + 4 (I think this is right it might not be and im sorry if it isnt).

Step-by-step explanation: Hope this helps even a little bit <33

Answer:

c. Cournot oligopoly (20 firms):

The optimal per unit price for a Cournot oligopoly with 20 firms is $485.10.

Step-by-step explanation:

\( \frac{7}{9} \times (8 \frac{3}{7} + 5 \frac{11}{14}) = \\ \)

\( \frac{7}{9} \times (8 \frac{6}{14} + 5 \frac{11}{14} ) = \\ \)

\( \frac{7}{9} \times (13 \frac{6 + 11}{14}) = \\ \)

\( \frac{7}{9} \times (13 \frac{17}{14}) = \\ \)

\( \frac{7}{9} \times (14 \frac{3}{14}) = \\ \)

\( \frac{7}{9} \times ( \frac{14 \times 3 + 3}{14}) = \\ \)

\( \frac{7}{9} \times ( \frac{42 + 3}{14}) = \\ \)

\( \frac{7}{9} \times ( \frac{45}{14}) = \frac{7 \times 45}{9 \times 14} = \frac{5}{2} \\ \)

_________________________________

And we're done.

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Answer:

\(\displaystyle \frac{199}{18}\)

Step-by-step explanation:

Fraction Operations

Before attempting to operate with the given fractions, we need to express all of them in the form a/b, because the last 2 fractions are in mixed form.

\(\displaystyle 8\frac{3}{7}=8+\frac{3}{7}=\frac{8*7+3}{7}=\frac{59}{7}\)

\(\displaystyle 5\frac{11}{14}=5+\frac{11}{14}=\frac{5*14+11}{14}=\frac{81}{14}\)

Now for the sum of the last two fractions:

\(\displaystyle \frac{59}{7}+\frac{81}{14}\)

Make both denominators equal by multiplying by 2 both parts of the first fraction:

\(\displaystyle \frac{59}{7}+\frac{81}{14}=\frac{118}{14}+\frac{81}{14}\)

\(\displaystyle =\frac{118+81}{14}=\frac{199}{14}\)

Now multiply by 7/9:

\(\displaystyle \frac{199}{14}*\frac{7}{9}=\frac{199}{18}\)

The equation that models the position of the weight at time t seconds is y(t) = 2.5 sin (πt) + 2.5

The equation that models the position of the weight at time t seconds is

y(t) = 2.5 sin (πt) + 2.5

The position of the weight at time t seconds can be modeled by a sinusoidal function of the form

y(t) = A sin (ωt + φ) + C

where

A is the amplitude of the oscillation (half the distance between the highest and lowest points), which is 2.5 in.

ω is the angular frequency of the oscillation, which is 2π divided by the period (the time for one complete cycle), which is 2 seconds. So, ω = 2π/2 = π radians/second.

φ is the phase angle, which depends on the initial position of the weight. We can assume that the weight starts at the highest point (the crest), so φ = 0.

C is the vertical shift, which is the midpoint of the oscillation (half the distance between the highest and lowest points added to the starting point). So, C = 2.5 + 0 = 2.5 in.

Putting it all together, we get

y(t) = 2.5 sin (πt) + 2.5

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Answer:

sorry i messed up my first calculations, currently recalculating

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the number of $30 advance tickets and $35 same-day tickets sold, when a total of 55 tickets were sold for $1825.

Let s represent the number of same-day tickets sold. Then 55-s is the number of advance tickets sold, and total revenue is ...

  35s +30(55 -s) = 1825

  5s = 175 . . . . . . Simplify, subtract 1650

  s = 35

  55-s = 30

35 same-day and 30 advance tickets were sold.

The solution to the inequality expression where the inequality expression is given as 2|x + 2| <= 14 is -9 <= x <= 5

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The inequality expression is given as

2|x+2|<=(Underlined)14

Rewrite properly as

2|x + 2| <= 14

Divide all parts of the inequality expression by 2

So, we have

2|x + 2|/2 <= 14/2

Evaluate the quotients in all parts of the inequality expression

So, we have

|x + 2| <= 7

Remove the absolute bracket from all parts of the inequality expression by 4

So, we have

-7 <= x + 2 <= 7

Subtract 2 from all parts of the inequality expression

So, we have

-9 <= x <= 5

Hence, the solution to the inequality expression where the inequality expression is given as 2|x + 2| <= 14 is -9 <= x <= 5

See attachment for graph of -9 <= x <= 5

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Answer:

-8.4375

Step-by-step explanation:

convert -9 9/16 to a improper fraction.

-9 x 16 = -144  

-144+9= -135

-135 divided by 16 = -8.4375

Answer:

Step-by-step explanation:

a. Two methods of fund raising is being tested here in the first case study. To make a completely randomized experiment. I would use and randomly assign half the population of the 1000 donor sample that will be sent literature about the successful activities of the charity and asked to make another donation to one of the two treatment conditions: which is a sent literature about the successful activities of the charity. While the placebo group would be the other 500 donors contacted by phone and asked to make another donation with no influence whatever from the charity.

b. For the second case study, To make a completely randomized experiment. I would use and randomly assign 43 particupants which are to be given a gel that contains the tooth-whitening chemicals to the treatment condition containing the tooth-whitening chemicals while the placebo group would be the remaining 42 which are to be given a similar-looking package of gel that does not contain the tooth-whitening chemicals.

c. Using three blocks: the completely randomized design experiment would be:

Donors younger than 30 years old:

Sent literature: Yes No

Contact by phone: Yes No

Donors 30 to 59 years old:

Sent literature: Yes No

Contact by phone: Yes No

Donors 60 and older:

Sent literature: Yes No

Contact by phone: Yes No

(Yes means yes to another donation and No means no to another donation)

Answer:

Step-by-step explanation:

a. Two methods of fund raising is being tested here in the first case study. To make a completely randomized experiment. I would use and randomly assign half the population of the 1000 donor sample that will be sent literature about the successful activities of the charity and asked to make another donation to one of the two treatment conditions: which is a sent literature about the successful activities of the charity. While the placebo group would be the other 500 donors contacted by phone and asked to make another donation with no influence whatever from the charity.

b. For the second case study, To make a completely randomized experiment. I would use and randomly assign 43 particupants which are to be given a gel that contains the tooth-whitening chemicals to the treatment condition containing the tooth-whitening chemicals while the placebo group would be the remaining 42 which are to be given a similar-looking package of gel that does not contain the tooth-whitening chemicals.

c. Using three blocks: the completely randomized design experiment would be:

Donors younger than 30 years old:

Sent literature: Yes No

Contact by phone: Yes No

Donors 30 to 59 years old:

Sent literature: Yes No

Contact by phone: Yes No

Donors 60 and older:

Sent literature: Yes No

Contact by phone: Yes No

(Yes means yes to another donation and No means no to another donation)

Answer:

-2x - 3

Step-by-step explanation:

1. distribute

( x - 1 ) - (3x + 2)

(x - 1) - 3x - 2

2. Eliminate redundant parentheses

(x - 1) - 3x - 2

x - 1 - 3x - 2

3. Subtract the numbers

x−1 − 3x − 2

x - 3 - 3x

4.

x − 3 − 3x

-2x - 3

The lines CA and CD are tangents to the circle O, hence; EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°.

The tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency

If OB = 6 and AB = 8, then;

OA = √(8² + 6²) {by Pythagoras rule}

OA = √100

OA = 10

EA = OA - OE(radius)

EA = 10 - 6 = 4

If DE = 16 and EA = 9, then;

OA = (diameter/2) + EA

OA = 8 + 9 = 17

AB = √(17² - 8²)

AB = √225

AB = 15

OB is perpendicular to line CA tangent to the circle so m∠ABO = 90°

OD is perpendicular to the line CD tangent to the circle so m∠ODC = 90°

If m∠DOB = 120° then;

120° = m∠ABO + m∠EAB {exterior angle of a triangle is equal to the two opposite interior angles}

m∠EAB = 120° - 90°

m∠EAB = 30°

In conclusion, for the lines tangent to the circle, we have that;

EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°

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