Shaun and trudy are selling raffle tickets. So far shaun has sold x tickets. Trudy has sold 3 more tickets than half the number of tickets that shaun sold.what expression represents the number of raffle tickets that shaun and trudy have sold altogether?

The slope of the Tangent line, correct to six decimal places, is 0.000000.

To find the line that is tangent to the curve y = -9 sin(x) and passes through the origin with the largest slope, we need to find the maximum value of the derivative of the curve.

First, let's find the derivative of the curve:

dy/dx = -9 cos(x)

Now, let's set up Newton's method to find the maximum slope. We'll use the derivative function -9 cos(x) and start with an initial guess, x0 = 0, since we're looking for the tangent at the origin.

Newton's method formula:

x_(n+1) = x_n - f(x_n) / f'(x_n)

Applying Newton's method:

Step 1:

x_1 = x_0 - (-9 sin(x_0)) / (-9 cos(x_0))

= 0 - (-9 sin(0)) / (-9 cos(0))

= 0

Step 2:

x_2 = x_1 - (-9 sin(x_1)) / (-9 cos(x_1))

= 0 - (-9 sin(0)) / (-9 cos(0))

= 0

Step 3:

x_3 = x_2 - (-9 sin(x_2)) / (-9 cos(x_2))

= 0 - (-9 sin(0)) / (-9 cos(0))

= 0

Based on the iterative steps, we can see that x_n remains 0 for all iterations. This indicates that the slope at x = 0 (the origin) is the maximum slope. Therefore, the slope of the line tangent to the curve y = -9 sin(x) and passing through the origin is 0.

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The length of the third side is 2√34 + 6.

We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let x be the length of the third side. Then we have:

2√34 + 6 > x

Subtracting 6 from both sides, we get:

2√34 > x - 6

Adding 6 to both sides, we get:

x < 2√34 + 6

Therefore, the length of the third side must be less than 2√34 + 6.

To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:

2√34 + 6 = x

If this is true, then the given sides can form a triangle.

Simplifying the equation, we get:

x = 2√34 + 6

The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.

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Answer: x = 3

Step-by-step explanation: -7 + 9 = 8 - 6

Answer:

Step-by-step explanation:

Firstly, lets just add the fractions we got.

2/5 + 1/3 = 6/15 + 5/15 = 11/15

So, 11/15 of the total students bought stuff other than drinks.

Number of people who bought drinks will be the people left

So, 1 - 11/15, or 4/15

a) 4/15

b) Fraction of people who bought beef burger is 2/5.

2/5 x 3/4 = 3/10

So the fraction is 3/10.

Answer: where is the answer choices

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

6 - 4x = -22

-6          - 6

-4x = -28

x = -28/-4

x = 7

Answer: 570 cm

Step-by-step explanation: The problem is asking 4560 divided by 8, since they are asking the equal distance each player ran. So 4560 divided by 8 is  570 cm.

The distance each player ran for is 570 cm.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

Given that, a baseball team ran with total distance of 4560 cm, there are 8 players on his baseball team, and they all ran the same number of laps,

We are asked to find the distance each player ran,

The same will be calculated by dividing total distance by total number of players.

Therefore, the distance each player ran = 4560 / 8

= 570 cm

Hence, the distance each player ran for is 570 cm.

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Answer: x=1

Step-by-step explanation:

Trust me ;)

Answer:

x = 1.

Step-by-step explanation:

5(x+4) =25

= 5x+20 = 25

5x = 25-20

5x= 5

therefore x = 1.

we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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Answer:

you will pay $60

Step-by-step explanation:

25% (1/4) of 80 is 20

subtract 20 from the total (80)

80 - 20 = 60

$60

Answer:

60

Step-by-step explanation:

So if you get 25% off, you're basically paying 75%.

So first, convert the percentage to a decimal:

75% = 75/100 = 0.75

Now just multiply the decimal by the total cost:

80$ (0.75) = $60

Answer:

0.675

Step-by-step explanation:

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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Step-by-step explanation:

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The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), and the coordinates of B is (-1, 1).

To find the coordinates of point B, we can use the midpoint formula, which states that the coordinates of the midpoint between two points (A and B) can be found by averaging the corresponding coordinates.

Let's denote the coordinates of point A as (x1, y1) and the coordinates of point B as (x2, y2). The midpoint M is given as (-4, 2).

Using the midpoint formula, we can set up the following equations:

(x1 + x2) / 2 = -4

(y1 + y2) / 2 = 2

Substituting the coordinates of point A (-7, 3), we have:

(-7 + x2) / 2 = -4

(3 + y2) / 2 = 2

Simplifying the equations:

-7 + x2 = -8

3 + y2 = 4

Solving for x2 and y2:

x2 = -8 + 7 = -1

y2 = 4 - 3 = 1

Therefore, the coordinates of point B are (-1, 1).

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The values of the ratios of the perimeters and areas of the red figure to the blue figure, which are similar figures, in the simplest form are:

Ratio of their perimeters:  14/9

Ratio of their areas: 196/81

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

The ratio of the perimeter of similar figures = a side length of one figure / corresponding side length of the other figure

The ratio of the areas of two similar figures = square of a length of one figure / square of a corresponding length of the other

Thus:

Side length of Red figure = 14

Side length of Blue figure = 9

Therefore:

The ratio of their perimeter = Side length of red figure / Side length of blue figure

Ratio of the perimeter of red figure to blue figure = 14/9

The ratio of their areas = Side length of red figure / Side length of blue figure

Ratio of the perimeters of red figure to blue figure

= 14²/9² = 196/81

In summary, the values of the ratios of the perimeters and areas of the red figure to the blue figure, which are similar figures, in the simplest form are:

Ratio of their perimeters:  14/9

Ratio of their areas: 196/81

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Answer:

Buffalo's snowfall rate is 1.83

Step-by-step explanation:

Rate of change

It usually refers to how fast one quantity changes with respect to another, frequently time.

In our problem, we are given the information on two snowfall rates, one during the winter of 2012–2013 in Buffalo, New York, and the other in Oswego, New York. Buffalo received 22 inches of snow in 12 hours. It means the rate of change or ratio of snowfall in time is:

\(\boxed{\displaystyle s_1=\frac{22}{12}=1.83}\)

The snowfall rate received by Oswego is:

\(\displaystyle s_2=\frac{31}{15}=2.07\)

Answer:

\(y-2=3(x-4)\)

Step-by-step explanation:

We are given a line contains the point (4, 2).

We also know that the line is parallel to y= 3x - 7.

We want to write the equation of this line.

Parallel lines have the same slopes.

First, let's find the slope of y = 3x - 7.

3 is in the place of where m (the slope) is, so that means it is the slope of that line.

It is also the slope of the line whose equation we want to write.

The equation of the line can be written in three ways:

All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.

Substitute 3 as m in \(y-y_1=m(x-x_1)\).

\(y-y_1=3(x-x_1)\)

Now, substitute 4 as \(x_1\) and 2 as \(y_1\).

\(y-2=3(x-4)\)

Topic: parallel and perpendicular lines

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Answer:

c

Step-by-step explanation:

i think

The marginal frequency of students who chose dancing is 37.

The correct answer to the given question is option 3.

The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.

Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.

It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.

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Answer: z=42

Step-by-step explanation:

\( \frac{32}{28} = \frac{48}{z} \\ 32z = 48 \times 28 \\ 32z = 1344 \\ z = \frac{1344}{32 } \\ z = 42\\ So, \: your \: answer\: is \: 42.\)

Answer:

n=7

The solution is in the picture. Hope you understand

Answer:

They are collinear if they are on the same line

The fraction of magazines that were delivered to families who were home written as a decimal is 0.4

Difference between fraction and decimal?

Total number of families = 25

Number of families in home = 10

Then, number of families away = 25 - 10 = 15

Fraction of magazines that were delivered to families who were home

= Number of families in home/ Total number of families

= 10 / 25

= 0.4

Hence, the fraction of magazines that were delivered to families who

were home written as a decimal is 0.4

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Answer:

Step-by-step explanation:

\(tan^2x+\sqrt{3} tanx=0\\tanx(tanx+\sqrt{3} )=0\\either~tan~x=0=tan~n\pi \\x=n\pi \\where~n~is~an~integer.\\if~x \in[0,2\pi )\\then~x=0,\pi \\or\\tan~x+\sqrt{3} =0\\tan~x=-\sqrt{3}=tan~(\pi-\frac{\pi }{3} ),tan~(2\pi -\frac{\pi }{3} )\\tan~x=tan(\frac{2\pi}{3} ),tan(\frac{5\pi}{3} )\\x=\frac{2\pi }{3},\frac{5\pi }{3}\)

Answer:

x=-1

Step-by-step explanation:

4x+35x-15=9x-45
39x-15=9x-45
39x-9x=-45+15
30=+-30
x=-1

Answer:

\( \sf \: x = - 1\)

Step-by-step explanation:

Given equation,

→ 4x + 5(7x - 3) = 9(x - 5)

Now the value of x will be,

→ 4x + 5(7x - 3) = 9(x - 5)

→ 4x + 35x - 15 = 9x - 45

→ 39x - 15 = 9x - 45

→ 39x - 9x = -45 + 15

→ 30x = -30

→ x = -30 ÷ 30

→ [ x = -1 ]

Hence, the value of x is -1.

The solution to the inequality is -3 ≤ x ≤ -1/3

Given the inequality:

4|3x+5| ≤ 16

Let us simplify it by dividing both sides by 4 to get:

|3x+5| ≤ 4

Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:

First: 3x+5 ≥ 0

In this case, the inequality simplifies to:

3x+5 ≤ 4

Subtracting 5 from both sides, we get:

3x ≤ -1

Dividing by 3 (which is positive) gives:

x ≤ -1/3

Second: 3x+5 < 0

In this case, the inequality simplifies to:

-3x-5 ≤ 4

Adding 5 to both sides, we get:

-3x ≤ 9

Dividing by -3 (which is negative and requires us to flip the inequality), gives:

x ≥ -3

Therefore, the solution to the inequality is:

-3 ≤ x ≤ -1/3

The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.

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