A company that teaches self-improvement seminars is holding one of its seminars in Somerville. The company pays a flat fee of $324 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $5 to purchase books and supplies. Each attendee will pay $32 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take? What will be the company's total expenses and revenues?

The number of seconds where the football hit the ground is 2 seconds

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

The graph

The number of seconds where the football hit the ground is when the graph intersects with the x-axis at the second time

In this case, the point is (2, 0)

Also, the seconds is represented by x

So, we have

x = 2

Hence, the seconds the football hits the ground is 2

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The solution to the system is the area where shadings from both inequalities overlap one another

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

Consider

x-2y ≤ -2

Find y

=> x +2  ≤  2y

=> x/2 + 1 ≤ y

=> (x+2)/2  ≤ y

Or

y ≥(x+2)/2  --------(1)

Consider 3x + y > -1

Find y

=> y > -3x -1---------(2)

By considering the equations with equal sign in place of inequality signs, find y values corresponding to the random x values

plot the points in (x,y) form, we get the 2 lines

For <, shade the region below the line

For >, shade the region above the line

If the inequality is "<" or ">" then connect the two points with a dotted line.  The dotted line is analogous to the open circle on the number line.  Otherwise, connect the two points with a solid line.

The solution to the system is the area where shadings from both inequalities overlap one another

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Answer:96,800

Step-by-step explanation:

\(\cfrac{x^2-4x-45}{x+6}\div\cfrac{x^2-3x-40}{x+6}\implies \cfrac{x^2-4x-45}{~~\begin{matrix} x+6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} x+6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{x^2-3x-40} \\\\\\ \cfrac{x^2-4x-45}{x^2-3x-40}\implies \cfrac{(x-9)~~\begin{matrix} (x+5) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{(x-8)~~\begin{matrix} (x+5) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{x-9}{x-8}\)

Graph the solution of the inequality 4.5k>18 is equal to  k > 4 ( see image), by using the inequality equation.

Based on the given conditions,

4.5k>18

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

a ≠ b says that a is not equal to b

a < b says that a is less than b

a > b says that a is greater than b

(those two are known as strict inequality)

a ≤ b means that a is less than or equal to b

a ≥ b means that a is greater than or equal to b.

To solve given graph,

We can write,

4.5k>18

4.5k - 18 > 0

4.5k > 18

k > 18/4.5

We can get the division,

k > 4   (We can see image)

Therefore,

4.5k>18 Graph the solution of the inequality is k > 4 ( see image ), by using inequality equation.

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Answer:

27576 kilometres per hour = 7660 meter per second

Step-by-step explanation:

35/7   is an IMPROPER FRACTION ....  it REDUCES to an INTEGER = 5

The fraction 35/7 equals to 5, which is an integer because it is a whole number without a fractional or decimal component.

The fraction 35/7 equals to 5. The number 5 is a whole number that can be written without a fractional or decimal component, hence it is classified as an integer.

In general, an integer includes all whole numbers and their negative counterpart excluding fractions or decimals. Examples of integers are ...-3, -2, -1, 0, 1, 2, 3... and so on.

So the answer to your question is, 35/7 is an integer.

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No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer: It is b

Step-by-step explanation: It is b ( 2:5 ) because it is asking the odds of spinning red or green and there are 5 colors in total so 1 green and 1 red makes 2 colors so it is 2:5

The volume of the solid bounded by the parabolic cylinder \(y=4x^2\) and the planes z=0,z=8, and y=6 is 16π cubic units.

To find the volume of the solid bounded by the parabolic cylinder \(y=4x^2\) and the planes z=0,z=8, and y=6, we can set up a triple integral using cylindrical coordinates.

First, we need to find the bounds for the variables in our integral.

Since the solid is bounded by the plane y=6, we know that the maximum value for y is 6. For z, we know that the solid is bounded between the planes z=0 and z=8.

For x, we need to find the bounds in terms of y and z.

The equation of the parabolic cylinder is \(y=4x^2\), which can be rewritten as\(x^2=y/4.\) Since we are using cylindrical coordinates,

we know that x=rcosθ and y=rsinθ, so we can rewrite \(x^2\) as \((rcos\theta)^2=(rsin\theta)/4\). Solving for r, we get \(r=\sqrt((y/4)/cos^2\theta+sin^2\theta).\)

Using this equation, we can find the bounds for r in terms of y and θ.

We want to find the maximum and minimum values of r for a given y, so we can take the derivative of r with respect to θ and set it equal to 0:

\(dr/d\theta = (-y/4)sin\thetacos\theta/(cos^2\theta+sin^2\theta)^(3/2)\)

This derivative is equal to 0 when sinθ=0 or cosθ=0, which means θ=0 or θ=π/2. So the bounds for θ are 0 to π/2.

When θ=0 or θ=π/2,\(r=\sqrt(y/4)\), so the maximum and minimum values of r for a given y are 0 and sqrt(y/4), respectively.

Finally, we need to find the bounds for z. Since the solid is bounded between z=0 and z=8, we know that the maximum and minimum values of z are 8 and 0, respectively.

Putting it all together, the triple integral for the volume of the solid is:

V = ∫∫∫ (r dz dy dθ)

With the following bounds:

θ: 0 to π/2

y: 0 to 6

z: 0 to 8

\(r: 0 to\sqrt(y/4)\)

So the integral becomes:

V = ∫[0,π/2]∫[0,6]∫[0,8] (r dz dy dθ)

= ∫[0,π/2]∫[0,6]∫[0,8] (r) dz dy dθ

= ∫[0,π/2]∫[0,6] (4r) dy dθ

= ∫[0,π/2] 48/3 dθ

= 16π

Therefore, the volume of the solid bounded by the parabolic cylinder \(y=4x^2\) and the planes z=0,z=8, and y=6 is 16π cubic units.

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Answer: x = 77 - 2y    y = -x/2 + (77/2)

Step-by-step explanation:

Answer:

\( - \frac{1}{2} {n}^{2} + 18 = 0 \\ - \frac{1}{2} {n}^{2} = - 18 \\ {n}^{2} = - 18 \times - 2 \\ {n}^{2} = 36 \\ n = + - \sqrt{36} \\ n = + - 6\)

Answer:

answer...

Step-by-step explanation:

here is u answer

A line chart is a type of graph used to show the relationship between two variables.

It is used for plotting data points that are connected by a straight line. The two variables can be either continuous or categorical. The line chart is useful for visualizing the relationship between the two variables and how they change over time. Line charts can be used to display data over a period of time, such as stock prices, or to compare different categories of data.

A pyramid chart is a type of graph used to compare different groups of data. It is usually used to show the relative sizes of different categories within a data set. The pyramid chart is generally preferred over the column chart because it is easier to compare the relative sizes of the different categories.

Pie charts are a type of graph used to show the relative size of different categories in a data set. They are useful for visualizing the proportions of the different categories. Pie charts can generally be used instead of bar charts, but they are not as useful for comparing the relative sizes of different categories or for displaying data over a period of time.

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Answer:

this is your attachment ans

Answer:

$1.53

Step-by-step explanation:

Weight of orange = 36 grams

Number of oranges purchased = 10

Total grams of oranges purchased :

Weight per orange * number of oranges

36 grams * 10 = 360 grams

Selling price per kg = $4.25

Price per gram = $4.25 / 1000 = $0.00425 per gram

Selling price of 360 g :

360 * $0.00425

= $1.53

Answer: the first graph (A)

Step-by-step explanation: are you actually low IQ or intellect this is the most easiest question I have ever seen I just finished this topic in my honor math class like last month in a week. BTW I am in the 9th grade

Now I got to tutor you so here you can use the process of elimination which you can see that < without the line below it means that the line is dotted and is the only one with a y-intercept of +2 is A and D are the only ligament answer now you dumc as i can't curse due to that i will get reported, so anyways go up 2 and go 1 to the right because it is 2x which is 2/1x rise/run and it is positive which means D is wrong because it has a negative slope which the only answer for this is A now get your (can't say) together and study.

the commission rate is 752.

The survey may not be entirely valid for testing the hypothesis due to potential selection bias, small sample size, and potential response bias

The survey may not be entirely valid for testing the hypothesis that the proportion of people ages 18 to 22 who have seen a healthcare professional in the past year is higher than the national average for a few reasons,

Selection Bias: The survey is being conducted on student athletes at your college, which is not a representative sample of the general population. It's possible that student athletes may have better access to healthcare professionals or be more health-conscious, which could skew the results.

Sample Size: 80 respondents may not be enough to draw statistically significant conclusions about the entire population of people ages 18 to 22. The larger the sample size, the more representative it is likely to be of the population as a whole.

Response Bias: The survey is being distributed after sports practice, which may mean that only certain students who have time to complete the survey are more likely to participate. It's also possible that some students may be more likely to over-report their healthcare visits or under-report them, which could bias the results.

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do you want me to make you a box and whisker plot if so then here

Answer:

just restart your device

Answer:

\(400\)

Step-by-step explanation:

1 hour = 60 minutes

20 hours × 60 = 1200 minutes

1200 minutes/ 3 minutes per assignment= 400 assignments

plz mark me brainliest. :)

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Let a(n) denote the n-th term in the sequence. Because the terms are in arithmetic progression, there is a fixed number d that separates consecutive terms, so that starting with a(1) = a, the next few terms are

a(2) = a(1) + d = a + d

a(3) = a(2) + d = a + 2d

a(4) = a(3) + d = a + 3d

and so on, up to

a(n) = a + (n - 1) d

We're given that the 30th term is 98, so

a(30) = a + 29d = 98

The sum of the first 30 terms is 1635, so that

\(\displaystyle \sum_{n=1}^{30}a(n) = \sum_{n=1}^{30}(a+(n-1)d) \\\\ 1635 = a\sum_{n=1}^{30}1 + d\sum_{n=1}^{30}(n-1) \\\\ 1635 = 30a + d\sum_{n=0}^{29}n \\\\ 1635 = 30a + d\sum_{n=1}^{29}n \\\\ 1635 = 30a + \frac{d\times29\times30}2\)

so that

30a + 435d = 1635

Solve the equations in boldface for a and d. I'll eliminate a and solve for d first.

-30 (a + 29d) + (30a + 435d) = -30 (98) + 1635

-30a - 870d + 30a + 435d = -2940 + 1635

-435d = -1305

d = 3

Then

a + 29 (3) = 98

a + 87 = 98

a = 11

You have the following function:

In order to determine the intervals, it is necessary to calculate the first derivative of the function, equal it to zero, and identify the zeros of the equation, just as follow:

the zeros of the previous equation are:

Next, it is necessry if the previous values are minima or maxima. Evaluate the second derivative for the previous values of x. If the result is greater than 0, then, it is a minimum. If the result is lower than zero, it is a maximum:

Then, for x=0 there is a maximum, and for x=-√3 and x=√3 there is a minimum.

Hence, until x = -√3 the function decreases. In between x=-√3 and x=0 the function increases. In between x=0 and x=√3 the function decreases and from x=√3 the function increases.

Furthermore, it is necessary to find the inflection points. Equal the second derivative to zero and solve for x:

then for x=1 and x=-1 there are inflection points.

The interval where the function is concave up is:

(-∞ , -1) U (1, ∞)

The interval where the function is concave down is:

(-1,1)

We can conclude that the cylinder has a volume of 703π cm3 and a height of 18.5 cm, with a radius of approximately 7 cm.

The given cylinder has a volume of 703π cm3 and a height of 18.5 cm.
To find the radius of the cylinder, we can use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.
Plugging in the given values, we have:
703π = πr^2 * 18.5
Simplifying the equation, we can divide both sides by π and 18.5:
703 = r^2 * 18.5
To find the radius, we can take the square root of both sides of the equation:
√(703/18.5) = r
Calculating this, we find that the radius of the cylinder is approximately 7 cm.
Therefore, we can conclude that the cylinder has a volume of 703π cm3 and a height of 18.5 cm, with a radius of approximately 7 cm.

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Answer:

9.2 feet long and 5.75 feet wide

Answer:

2 n - 2 = n - 38

Step-by-step explanation:

Two fewer than "a number doubled"

2n-2 = n-38

The probability of committing a Type II error when the mean difference is 55 is 1.

The concept of power in statistical testing is important for understanding the reliability of results. When the power of a statistical test is zero, it means that the test is unable to detect the difference between the means of two groups, even if there is a real difference.

In the given scenario, the mean is 52, the sample size is 25, and the standard deviation is 2.

This means that if the true mean difference between two groups is 55, there is a 100% chance that the test will not detect it. The probability of committing a Type II error is directly related to the power of a statistical test.

The higher the probability of committing a Type II error, the lower the power of the test.

Therefore, it is important to consider the power of a statistical test when interpreting results.

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Answer:

4 4/1

Step-by-step explanation:

we know that reciprocal mans backwards. This doesn't apply to the whole number un math. only the denominational and numerator.

Answer:

4×4=16

16+1=17

=4/17

step-by-step explanation:

since that is a mixed fraction, you first change it into an improper fraction......by multiplying the denominator and the whole number then add the numerator. You will get 17 as your numerator.......then make it your denominator and 4 your numerator