Brenda wants to calculate a budget that assumes 200 people will attend the seminar at a cost of $500 per person. In the Budget worksheet, enter these values in the range B5:B6. In cell B7, calculate the total revenue from attendance at the seminar by multiplying the number of attendees and the registration fee per attendee.

Answer:

Choice A. -3

Step-by-step explanation:

Using the x1-x2/ y1-y2 u fill in. So it would be 3-(-3) (x-axis) and 2-4 (y-axis).

So when u do both of those you are left with 6/-2.

When u simplify 6/-2 you get -3.

Answer:

slope is -1/3

Step-by-step explanation:

slope is read rise over run so the line, in this case, fell down 1 and ran 3. Falling means negative so the slope is negative 1 over 3. To easily determine a negative slope, see if the line is moving from top left to bottom right. If so, then it's negative. The other way around is a positive slope.

(i don't do formulas well so I use the graph)

Answer:

2(C)

Step-by-step explanation:

You can use the slope formula to answer this which is y₁ - y₂ divided by x₁ - x₂. Let's say that (x₁, y₁) is (6,6) and the (x₂, y₂) is (1, -4). We can then substitute these values into the formula.

This would become 6- (-4) divided by 6-1.

This can be further simplified as shown:

=6+4 divided by 5

=10/5

=2

Therefore, 2 is the slope of the line

Answer: 1) Error response times

2) Memory Scanning, visual search

3) Stimulus identification

Step-by-step explanation:1) response times reflext the time it takes to interpret a stimulus,get info from memory, initiate a muscle response

2) The hippocampus retrieves info from the working memory and begins to change the brains physical neural wiring

3) A decisive role in our perception and cognition

In general, there are two areas of psychology where mathematics is heavily utilized: mathematical modeling of psychological theories and experimental phenomena, which gives rise to mathematical psychology, and statistical approaches to quantitative measurement practices in psychology, which give rise to psychometrics.

ASA congruence postulate says that if the two angles and the included side of a triangle are congruent to two angles and the included side of another triangle then the triangles are congruent. ABC ≅ XYZ

Congruent triangles are those with precisely the same dimensions and appearance. Congruent has the symbol. When the dimensions of one triangle's three sides and three angles match those of another triangle's three sides and three angles, the two triangles are said to be congruent.

Angle-Side-Angle congruence rule is referred to as ASA. Two triangles are said to be congruent according to this rule if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle. See if the two triangles given, ABC and XYZ, are congruent according to the ASA rule by looking at the image provided below.

According to the ASA criterion, ABC = XYZ because BC = YZ and B = Y and C = Z, respectively. Due to the fact that ABC = XYZ, the third angle (A) and the other two sides (A) of ABC must be equal to the equivalent angle (X) and sides of XYZ.

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Answer:

  £2857.14

Step-by-step explanation:

The price after the decrease is 84% of the original price, so we have ...

  £2400 = 0.84 · (original price)

  £2400/0.84 = original price ≈ £2857.14

Answer:

4

Step-by-step explanation:

Alejandro can make 48 one-ounce bags of trail mix .

Since Alejandro has a 3-pound bag of trail mix, we need to convert the weight to ounces to determine how many one-ounce bags he can make.

1 pound is equal to 16 ounces. Therefore, a 3-pound bag is equal to 3 x 16 = 48 ounces.

To find out how many one-ounce bags Alejandro can make, we divide the total weight of 48 ounces by the weight of each one-ounce bag:

48 ounces / 1 ounce = 48 bags

So, Alejandro can make 48 one-ounce bags of trail mix .

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Answer:

the y-intercept is (0,13)

Step-by-step explanation:

The y intercept is (0,b) in the slope-intercept form of y=mx+b

The y-intercept of the line represented by the equation y = 6x + 13 is the point where the line crosses the y-axis. This happens when x=0, so substituting in this value gives us y=13. Therefore, the coordinates of the y-intercept are (0, 13).

In this case, the equation of the line is given as y = 6x + 13. A y-intercept is the point where the line crosses the y-axis. This takes place when x is equal to 0 because at that point, we are solely on the y-axis. Therefore, if we substitute x = 0 into the equation, we obtain y = 6*(0) + 13, which simplifies to y = 0 + 13, so y = 13. Therefore, the coordinates of the y-intercept are (0, 13).

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Answer:

i dont really know for sure, but try P (-8, 6) Q (-5, 2) and R (2, 1) sorry if its wrong

Step-by-step explanation:

Answer:

Answer might be -15

Step-by-step explanation:

Because loss means lose so loss of 15 would probably be -15.

Answer:

The answer is C ($5,818)

Step-by-step explanation:

I just got this question and got the question correct.

Hope this helps!!

Division is one of the four fundamental arithmetic operations. The amount that is needed to be saved annually is $5,818.18.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given you contribute  $4,000 (1st year), $3,500 (2nd year), $1,500 ( 3rd year), and $2,000 (4th year) into your retirement fund. Therefore, the total amount saved till now will be,

Total amount save till now = $4,000 + $3,500 + $1,500 + $2,000

                                              = $11,000

As the goal is to save $75,000, therefore, the amount that is needed to be put in the fund can be calculated as,

The amount needed to put in = $75,000 - $11,000 = $64,000

As the time in which this amount is needed to be saved is 11 years, therefore, the amount that is needed to be saved annually is,

Amount needed to be annually = $64,000/11 = $5,818.18

Hence, the amount that is needed to be saved annually is $5,818.18.

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You dilate a line segment around a point by following a simple procedure mentioned below that begins with identifying the center of a line segment.

Dilating a line segment around a point is a simple process. First, you need to identify the center of the line segment.

Then, use a ruler or other measuring device to measure the distance from the center of the line segment to each end point.

To dilate the line segment, multiply the measured distance by the desired scale factor. Finally, draw a new line segment connecting the two new end points.

This will give you the dilated line segment around the point you identified at the beginning.

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Answer:

The discount amount is $50.00. To calculate the discount, you can multiply the original price by the discount rate (expressed as a decimal), $249.99 * 0.20 = $49.998. Then, subtract the discount amount from the original price: $249.99 - $49.998 = $199.992.

Step-by-step explanation:

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

The net yardage of the team is -1. Hence they lost 1 yard overall.

To determine if the football team gained or lost yards overall, we need to calculate the net yardage by considering the gains and losses.

To find the net yardage, we sum up these values:

Net yardage = -3 + 12 + 10 - 15

= 4 - 5

= -1

The team has a net yardage of -1, which means they lost 1 yard overall.

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Emails, memos, and letters are written forms of communication, but they differ in terms of content and form. Emails are electronic messages typically used for quick, informal communication. Memos are internal documents used for formal communication within an organization. Letters are formal written communications sent externally, often to individuals or organizations outside of the sender's immediate environment.

Emails are commonly used for informal communication, whether within an organization or between individuals. They are typically concise and direct, often lacking the formalities and structure associated with memos and letters. Emails are often used for quick exchanges, sharing information, requesting or providing updates, and informal discussions.

Memos, on the other hand, are formal internal documents used within an organization. They usually follow a specific format, including headings, subject lines, recipient information, and a clear purpose. Memos are used to communicate important information, policy changes, directives, or reports within a business or department. They often have a more professional tone compared to emails and are typically archived for future reference.

Letters are formal written communications sent externally. They follow a traditional format with specific components such as salutations, addresses, dates, and signatures. Letters are used for official or business correspondence and can include inquiries, requests, formal complaints, or invitations. They require a more formal and respectful tone compared to emails and memos and are often used for official documentation or when a more personal touch is required.

In summary, while all three forms of communication serve the purpose of conveying information, emails are informal and quick, memos are formal internal documents within organizations, and letters are formal written communications sent externally. The content and format of each vary based on their intended purpose and target audience.

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The more appropriate measures of center and spread or the data set would be:

The median and interquartile range (IQR) should be used when analyzing data that has a non-normal distribution. They are particularly useful when working with data sets that contain outliers or skewness.

The median provides an indication of the central tendency of the data, representing the value that separates the data into two equal parts, with half the data being below and half the data being above that value. The IQR, on the other hand, provides information about the spread of the data and can be used to identify outliers.

The data here has the extreme figure of 24 which is an outlier and so not compatible with the mean. The median is therefore better. The interquartile range would be better for spread due to the outlier as well.

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The polynomial f(x) = x^4 + 2x^3 − 2x^2 − 6x − 3 can be factored as f(x) = (x - 1)(x + 1)(x^2 + x - 3). The x-intercepts of the function y = f(x) are x = -1 and x = 1. The coordinates of the minimum value of f(x) are (-0.5, -3.875).

(a)  The factored form of the polynomial f(x) = x^4 + 2x^3 − 2x^2 − 6x − 3 is f(x) = (x - 1)(x + 1)(x^2 + x - 3).

To factor the given polynomial, we can use various factoring techniques such as grouping, synthetic division, or factoring by grouping.

By trying different factorizations, we find that (x - 1) and (x + 1) are factors of the polynomial. We can verify this by performing long division or using synthetic division:

      x^3 - 3x^2 - 5x - 3

(x - 1) | x^4 + 2x^3 - 2x^2 - 6x - 3

      - x^4 + x^3

       --------------

            3x^3 - 2x^2

            3x^3 - 3x^2

            ------------

                      x^2 - 6x

                      x^2 - x

                      -------

                              -5x - 3

                              -5x - 5

                              -------

                                     2

Since the remainder is 2, we can conclude that (x - 1) is a factor of the polynomial. By using synthetic division or long division, we can find that (x + 1) is also a factor.

Therefore, the factored form of the polynomial f(x) = x^4 + 2x^3 − 2x^2 − 6x − 3 is f(x) = (x - 1)(x + 1)(x^2 + x - 3).

(b)  The x-intercepts of the function y = f(x) are x = -1, x = 1.

To find the x-intercepts of the function, we set f(x) = 0 and solve for x. From the factored form, we can see that f(x) will be equal to zero when (x - 1)(x + 1)(x^2 + x - 3) = 0.

Setting each factor equal to zero, we have:

x - 1 = 0 --> x = 1

x + 1 = 0 --> x = -1

Therefore, the x-intercepts of the function y = f(x) are x = -1 and x = 1.

(c)  The coordinates of the minimum value of f(x) are (-0.5, -3.875).

To determine the minimum value of f(x), we can analyze the graph of the function. Using a graphing calculator or software, we can sketch the graph of f(x) = x^4 + 2x^3 − 2x^2 − 6x − 3.

From the graph, we can observe that the minimum point occurs at approximately x = -0.5. By evaluating f(-0.5), we can find the corresponding y-value:

f(-0.5) ≈ -3.875

Therefore, the coordinates of the minimum value of f(x) are (-0.5, -3.875).

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\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

The correct answer is option C. No, because the sample is not large enough to satisfy the normality conditions.

The conditions for creating a confidence interval for the population proportion have not been met because the sample is not large enough to satisfy the normality conditions. The assumption of normality in the sampling distribution of population proportions is crucial for constructing confidence intervals. When the sample size is small, the distribution may not be perfectly normal, and this can lead to inaccurate results.

In this case, the marketing representative interviewed 100 people at a specific supermarket. While the sample size of 100 may seem substantial, it might not be large enough to satisfy the normality conditions. A common guideline is to have a sample size of at least 30 for the normality assumption to hold.

Having a larger sample size helps ensure that the sampling distribution of the population proportion is approximately normal. A larger sample provides more data points, which can lead to a better representation of the population. It reduces the variability and potential bias in the estimates.

Additionally, it's important to consider the potential for non-response bias or selection bias. The sample obtained at a certain supermarket may not be representative of the entire state population. Different supermarkets may attract different demographics or preferences, which could affect the generalizability of the results.

Therefore, based on the given information, the conditions for creating a confidence interval for the population proportion have not been met due to the small sample size and potential lack of representativeness.

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The point (5, 10) has not been translated in the given figure.Hence this statement is false.

The graph shows five points.

A point has been translated right and up.

Now, the statements that are true based on the graph are as follows:

The point (9, D) has been translated right and up.Answer: False

There is no information given about point (9, D).

So, we cannot say anything about the translation of point (9, D).

The point (1, 8) has been translated right and up.Answer: True

As explained above, the point (1, 8) has been translated 7 units to the right and 2 units up to get the new point (8, 10). So, this statement is true.

The point (2, 9) has been translated right and up.Answer: False

The point (2, 9) has not been translated in the given figure.

So, this statement is false.

Statement 4: The point (8, B) has been translated right and up.Answer: True

The point (8, B) has been translated 1 unit up in the given figure. So, this statement is true.

The point (5, 10) has been translated right and up.Answer: False

The point (5, 10) has not been translated in the given figure.

So, this statement is false.

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The factor form of the quadratic equations are listed below:

Case 13: (b - 4) · (b - 2)

Case 14: (n + 4) · (n + 2)

Case 15: 2 · (n + 9) · (n - 6)

Case 16: 5 · (n + 2)²

Case 17: 2 · (k + 5) · (k + 6)

Case 18: (a - 10) · (a + 9)

Case 19: (p + 10) · (p + 1)

Case 20: 5 · (v - 2) · (v - 4)

Case 21: 2 · (p + 2) · (p - 1)

Case 22: 4 · (v - 2) · (v + 1)

Case 23: (x - 10) · (x - 15)

Case 24: (v - 5) · (v - 2)

Case 25: (p + 6) · (p - 3)

Case 26: 6 · (v + 10) · (v + 1)

In this problem we find quadratic equations of the form a · x² + b · x + c, whose factor form is introduced below:

a · x² + b · x + c = a · x² + a · (- r₁ - r₂) · x + a · r₁ · r₂ = a · (x - r₁) · (x - r₂)

Where r₁, r₂ are real roots.

Now we proceed to present the factor form of each quadratic equation:

Case 13

b² - 6 · b + 8 = (b - 4) · (b - 2)

Case 14

n² + 6 · n + 8 = (n + 4) · (n + 2)

Case 15

2 · n² + 6 · n - 108 = 2 · (n² + 3 · n - 54) = 2 · (n + 9) · (n - 6)

Case 16

5 · n² + 10 · n + 20 = 5 · (n² + 2 · n + 4) = 5 · (n + 2)²

Case 17

2 · k² + 22 · k + 60 = 2 · (k² + 11 · k + 30) = 2 · (k + 5) · (k + 6)

Case 18

a² - a - 90 = (a - 10) · (a + 9)

Case 19

p² + 11 · p + 10 = (p + 10) · (p + 1)

Case 20

5 · v² - 30 · v + 40 = 5 · (v² - 6 · v + 8) = 5 · (v - 2) · (v - 4)

Case 21

2 · p² + 2 · p - 4 = 2 · (p² + p - 2) = 2 · (p + 2) · (p - 1)

Case 22

4 · v² - 4 · v - 8 = 4 · (v² - v - 2) = 4 · (v - 2) · (v + 1)

Case 23

x² - 15 · x + 50 = (x - 10) · (x - 15)

Case 24

v² - 7 · v + 10 = (v - 5) · (v - 2)

Case 25

p² + 3 · p - 18 = (p + 6) · (p - 3)

Case 26

6 · v² + 66 · v + 60 = 6 · (v² + 11 · v + 10) = 6 · (v + 10) · (v + 1)

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2^3 * 3^1

Go step by step. 24 = 2 x 12. 12 = 2 x 6. 6 = 2 x 3. We can't factor any more.

Therefore, we have 12 = 2 x 6, and since 6 = 2 x 3, we get 12 = 2 x 2 x 3.

Then 24 = 2 x 12, and 12 = 2 x 2 x 3, so 24 = 2 x 2 x 2 x 3.

There are 3 2's and 1 3's, so it's 2^3 * 3^1.

Hope that helped,

-sirswagger21

Answer:

24=2*12=2*6=2*3

Step-by-step explanation:

I could not draw the tree diagram

to do it you take a prime number it is divisible by and a composite number it is divisible by and you prime factorise the composite number and repeat until you get prime numbers

Answer:

\(f(x)=4\cos(2x)+3\)

Step-by-step explanation:

Using the general equation \(f(x)=a\cos(bx+c)+d\), we already know that \(a=4\) and \(d=3\), but we need to find \(b\) from the period:

\(\frac{2\pi}{|b|}=\pi\\ 2\pi=b\pi\\2=b\)

Hence, the cosine function is \(f(x)=4\cos(2x)+3\)

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then ... graphing showing vertical asymptote at x = 1 ... Next, I'll find any x- or y- intercepts.

Answer:

Step-by-step explanation:

Let the half/side of the square be a and the difference of the point in the middle be x and y respectively

Each shape is the sum of 2 triangles, which have a base of a

The area to be found is A

We will show the area of each four shapes as:

Now comparing the expressions:

Using the values we got,  finding the area A:

the perimeter is equal to the sum of all the sides, therefore:

----------------------------------------

The area of a rectangle is given by: