If 125 children out of 150 are going to a fair organized by the a school, then find the percentage of children not visiting the fair?​

In this exercise, you’ll create a form that accepts one or more scores from the user. Each time a score is added, the score total, score count, and average score are calculated and displayed.

In order to achieve this, you will need to utilize HTML and JavaScript. First, create an HTML form that contains a text input field for the user to input a score and a button to add the score to a list. Then, create a JavaScript function that is triggered when the button is clicked.

To update these values, you will need to loop through the array of scores and calculate the total and count, and then divide the total by the count to get the average.

Finally, the function should display the updated values to the user. You can use HTML elements such as `` or `

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We can write Q(ξ) = a' + b'p.

As b' is an integer, we can say that Zuid/a> Zp is true.

Firstly, we need to prove that gcd(c, d) = 1 for p a prime with,

p = c² + d², c, d e Z.

Given that p is a prime and p = c² + d², c, d e Z.

Suppose gcd(c, d) = d1, then d1 divides c and d.

Now, p = c² + d²

=> p = d²(d1² + (c/d1)²)

It means that p is divisible by d².

As p is a prime, therefore, p must divide d.

This means that gcd(c, d) = 1.

Then, we have to prove (rd-sc)+(stri)i and Crd-sc)?+1 = Pcr*+53), where r and s are the numbers with,

r² + s² = 1.

From the given data, we have a = ctid

= c(rc + sd) + i(c(-s) + d(r))

Using the values of r and s, we get the required expression.

Now, we need to define

Q(ξ) = a + (rd-sc)b such that;

Q(ξ1 + ξ2) = Q(ξ1) + Q(ξ2) and

Q(ξ1ξ2) = Q(ξ1)Q(ξ2)

where ξ, ξ1, and ξ2 are complex numbers.

Then, we have to prove that Q is a ring epimorphism with ker(Q) = and that Zuid/a> Zp.

We know that Q(ξ) = a + (rd-sc)b.

Q(ξ1 + ξ2) = a + (rd-sc)b

= Q(ξ1) + Q(ξ2)Q(ξ1ξ2)

= (a + (rd-sc)b)²

= Q(ξ1)Q(ξ2)

Now, we need to show that ker(Q) = .Q(ξ)

= 0

=> a + (rd-sc)b = 0

=> b = (sc-rd)(c²+d²)⁻¹

We need to show that b is an integer.

As gcd(c, d) = 1, therefore, c² + d² is odd.

Hence, (c² + d²)⁻¹ is an integer.

Now, we need to show that Q is an epimorphism.

Let ξ be an arbitrary element of Zp.

Then, we can write ξ as ξ = (ξ mod p) + pZ.

Let a' = ξ - (ξ mod p) and

b' = (sc-rd)(c²+d²)⁻¹

Then, we can write Q(ξ) = a' + b'p.

As b' is an integer, we can say that Zuid/a> Zp is true.

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To determine a formula for the n-th term of an arithmetic sequence, we need to find the common difference (d) first.

The common difference is the constant value that is added or subtracted to each term to get to the next term.

In this case, we can find the common difference by subtracting the fourth term from the seventh term:

d = a₇ - a₄

d = 31 - 19

d = 12

Now that we have the common difference, we can use it to find the formula for the n-th term of the arithmetic sequence. The formula is given by:

aₙ = a₁ + (n - 1)d

In this formula, aₙ represents the n-th term, a₁ represents the first term, n represents the position of the term, and d represents the common difference.

Since we don't have the first term (a₁) given in the problem, we can find it by substituting the known values for a₄ and d:

a₄ = a₁ + (4 - 1)d

19 = a₁ + 3(12)

19 = a₁ + 36

a₁ = 19 - 36

a₁ = -17

Now we can substitute the values of a₁ and d into the formula to get the final formula for the n-th term:

aₙ = -17 + (n - 1)(12)

Therefore, the formula for the n-th term (aₙ) of the given arithmetic sequence is aₙ = -17 + 12(n - 1).

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Answer:

true

Step-by-step explanation:

cant make a triangle with only two lines

Please find attached photograph for your answers.

For the first one its a slope of -2/3

The second one is 4/5

and the third one is -1/7

Answer:

x-intercept = 4

Explanation:

when x-intercept, y shall be 0; when y-intercept, x shall be 0

5x + 2y = 20

[ consider y as 0 ]

5x + 2(0) = 20

[ simplify ]

5x = 20

[ divide both sides by 5 ]

x = 4

coordinate of x-intercept at (4,0)

Answer:

(4,0) or 4

Step-by-step explanation:

The x intercept is calculated by plugging the y value of zero in for y. Doing this will get you 5x=20. Lastly, divide both sides by 5 to get 4.

-8 = -7 + X

- 8 + 7 = X (Adding 7 to both sides of the equation)

-1 =x (Subtracting)

The answer is x=-1.

the answer of -8 = -7 +Xx is x= -1

The shortest piece is 5 feet long.

Let's use the terms given and set up the equation:
Let x represent the shortest piece.

According to the problem:
- The longest piece is 4 feet longer than the shortest piece, so it is x + 4 feet.
- The remaining piece is 2 feet shorter than the longest piece, so it is (x + 4) - 2 = x + 2 feet.
- The total length of the board is 21 feet.
Now we can set up the equation:
x (shortest piece) + (x + 4) (longest piece) + (x + 2) (remaining piece) = 21 feet.
Combining the terms, we get:
x + x + 4 + x + 2 = 21.
Simplifying, we get:
3x + 6 = 21.
Now, we need to solve for x (the shortest piece):
Subtract 6 from both sides: 3x = 15
Divide both sides by 3: x = 5.

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The end behavior of the graph is that it tends towards negative infinity as x approaches negative infinity, and tends towards positive infinity as x approaches positive infinity.

The end behavior of the graph of f(x) = x5 - 8x4 + 16x3 can be determined by looking at the leading term of the polynomial. The leading term of the polynomial is x5, which is positive for positive values of x and negative for negative values of x. Therefore, as x approaches negative infinity, the graph of f(x) will tend towards negative infinity, and as x approaches positive infinity, the graph of f(x) will tend towards positive infinity. To understand this further, consider what happens when x is very large, either positive or negative. As the absolute value of x increases, the leading term of the polynomial, x5, will have an increasingly large influence on the value of the polynomial, and any other terms will become insignificant. Therefore, for very large values of x, the graph of f(x) will almost entirely reflect the behavior of the leading term, which is to approach negative infinity for negative values of x and positive infinity for positive values of x.

f(x) = x5 - 8x4 + 16x3

When x is very large, either positive or negative:

When x is very large and positive:

f(x) ≈ x5

f(x) → ∞

When x is very large and negative:

f(x) ≈ -x5

f(x) → -∞

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Answer:

  15 yd/s

Step-by-step explanation:

You want to know the rate of change of distance to a firework when it is 8 yards away horizontally, 6 yards high, and its height is increasing at 25 yards per second.

The geometry of the problem can be modeled by a 3-4-5 right triangle scaled by a factor of 2 yards. The straight-line distance to the firework is ...

  5 × (2 yd) = 10 yards

The vertical distance is given as 6 yards, increasing at 25 yd/s. Then the cosine of the angle from the line of sight to the direction of travel is ...

  cos(α) = adjacent/hypotenuse = (6 yd)/(10 yd) = 0.6

The speed in the direction of the line of sight is the speed of the firework, multiplied by the cosine of the angle between its direction and the line of sight:

  rate of change of distance away = (25 yd/s) × cos(α) = (25 yd/s)(0.6)

  rate of change of distance away = 15 yd/s

__

Additional comment

The rate of change can also be found using calculus. The distance away can be expressed using the distance formula, and its derivative found. The value of that derivative at the time of interest will give the rate of change of distance to the firework. This is shown in the second attachment, using a graphing calculator to find the derivative.

Answer:

Step-by-step explanation:

To evaluate (f+g)(-2), we need to substitute -2 into the functions f(x) and g(x), and then add the results.

Given:

f(x) = 3x + 4

g(x) = x - x^2

First, we substitute -2 into f(x):

f(-2) = 3(-2) + 4

= -6 + 4

= -2

Next, we substitute -2 into g(x):

g(-2) = (-2) - (-2)^2

= -2 - 4

= -6

Now, we add the results of f(-2) and g(-2):

(f+g)(-2) = f(-2) + g(-2)

= -2 + (-6)

= -8

Therefore, (f+g)(-2) evaluates to -8.

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Since it has a variable in the denominator, the function f(x) is a parent function classified as rational.

Rational functions are functions that have the input variable, be it x, t, or any other, in the denominator.

The most simple example is given by:

\(f(x) = \frac{1}{x}\).

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Answer: Reciprocal

Step-by-step explanation:

Reciprocal functions are functions that contain a constant numerator and x as its denominator. Its parent function is y = 1/x.

Answer:

30x+7

Step-by-step explanation:

3(10x+7)-15 = 30x+21-15 = 30x+7

Answer:

1200

Step-by-step explanation:

Answer:

Step-by-step explanation:

Stephen A. Douglas proposed the use of popular sovereignty to determine the issue of slavery in the Kansas-Nebraska scheme, allowing the residents of each territory to decide for themselves whether to permit slavery.

Stephen A. Douglas, a prominent politician and U.S. Senator, put forth the Kansas-Nebraska Act in 1854. The act aimed to organize the territories of Kansas and Nebraska, but it also ignited intense debates regarding the expansion of slavery into these regions. Douglas proposed that the issue of slavery in these territories should be decided by popular sovereignty, a principle that advocated for the residents of the territories to vote and determine their own stance on slavery.

Under this proposal, the residents of Kansas and Nebraska would have the authority to choose whether to allow or prohibit slavery within their borders. However, this plan effectively disregarded the Missouri Compromise of 1820, which had previously prohibited slavery in territories north of a certain latitude. As a result, the Kansas-Nebraska Act generated significant controversy and contributed to the deepening divisions between pro-slavery and anti-slavery factions in the United States, ultimately fueling tensions that would lead to the American Civil War.

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The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)

Where, x represent the number of totts.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

My friend Raw has either no more than 5 toots and more than 10 toots.

Now, Let number of toots = x

Hence, We get;

⇒ x < 5

And, x > 10

Thus, The solution of the inequality is,

⇒ x ∈ (- ∞, 5) ∪ (10, ∞)

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A) The odds of picking a black jellybean are 14/37.

Step-by-step explanation:

The jar contains fourteen black, eight red, eleven yellow, and four green jellybeans.

Therefore, the Total number of jellybeans in the jar = 14+8+11+4=37

Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of black jellybeans.

Therefore, the number of black jellybeans = 14

Now, the number of unfavorable outcomes is the number of jellybeans that are not black.

Therefore, the number of unfavorable outcomes = 37-14=23

Hence, the odds of picking a black jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

Odds of picking a black jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=14/37

Answer: Odds of picking a black jellybean are 14/37.

B) The odds of picking a green jellybean are 5/35.

Step-by-step explanation:

The jar contains ten black, eight red, twelve yellow, and five green jellybeans.

Therefore, the Total number of jellybeans in the jar = 10+8+12+5=35

Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of green jellybeans.

Therefore, the number of green jellybeans = 5Now, the number of unfavorable outcomes is the number of jellybeans that are not green.

Therefore, the number of unfavorable outcomes = 35-5=30

Hence, the odds of picking a green jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

Odds of picking a green jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=5/30

Reducing the ratio to the simplest form, we get the odds of picking a green jellybean = 1/6

Hence, the odds of picking a green jellybean are 5/35.

Answer: Odds of picking a green jellybean are 5/35.

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Answer:

2 inches and 25 inches

Step-by-step explanation:

First you do 5 divided by 250. It gives you 50. If you do 25 times 2 it gives you 50. Hope this helps.

Rectangular prism is also known as cuboid. The side lengths which can be of the considered rectangular pair are given by: Option D: 2 inches and 25 inches

Suppose that the rectangular prism considered has side lengths a, b, and c units.

Then its volume is given by

\(V = a \times b \times c \: \rm unit^3\)

For the give case, it is given that the rectangular prism in consideration has got the volume as 250 cubic inches.

Its one of the 3 sides is given to be as  of 5 inches.

That means, we get:

\(V = a \times b \times c \: \rm unit^3\\\\250 = 5 \times b \times c\\\text{dividing both the sides by 5}\\\\50 = b \times c\)

That means, other two sides should be such that their product comes out at 50 inch squared. (since one inch dimension is lost).

For the given cases in options, we can see that only the fourth option pairs (2 inch and 25 inches) are such that their product comes out as 50 sq. inches.

(since \(2 \times 25 = 50\) )

Thus, the side lengths which can be of the considered rectangular pair are given by: Option D: 2 inches and 25 inches

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Answer:

29.) 7.2 + 3 = 10.2

30.) 15.5 + 2 = 17.5

31.) 0.8 + 11 = 11.8

32.) 8.7 + 9 = 17.7

33.) 21.8 + 6 = 27.8

34.) 1.6 + 8 = 9.6

Hope this helps!

Step-by-step explanation:

29. m-3= 7.2

1. add three on both sides

30. n-2= 15.5

1. add two on both sides

The same applies to the rest.

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

There are approximately 114 rabbits in the year 10

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

\(P=P_o(1+r)^t\)

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given two measurements of the population of rabbits on an island.

In year 1, there are 50 rabbits. This is the point (1,50)

In year 5, there are 72 rabbits. This is the point (5,72)

Substituting in the general model, we have:

\(50=P_o(1+r)^1\)

\(50=P_o(1+r)\qquad\qquad[1]\)

\(72=P_o(1+r)^5\qquad\qquad[2]\)

Dividing [2] by [1]:

\(\displaystyle \frac{72}{50}=(1+r)^{5-1}=(1+r)^{4}\)

Solving for r:

\(\displaystyle r=\sqrt[4]{\frac{72}{50}}-1\)

Calculating:

r=0.095445

From [1], solve for Po:

\(\displaystyle P_o=\frac{72}{(1+r)^5}\)

\(\displaystyle P_o=\frac{72}{(1.095445)^5}\)

\(P_o=45.64355\)

The model can be written now as:

\(P=45.64355(1.095445)^t\)

In year t=10, the population of rabbits is:

\(P=45.64355(1.095445)^{10}\)

P = 113.6

\(P\approx 114\)

There are approximately 114 rabbits in the year 10

The regular price of the Sealy mattress, before the 20% discount, can be calculated based on the sale price of $649.95.

Let's denote the regular price of the mattress as "x". The sale price is given as $649.95, which is equal to 80% of the regular price (100% - 20%).

We can set up the equation: 0.8x = $649.95. To find the value of x, we divide both sides of the equation by 0.8:

x = $649.95 / 0.8

Evaluating this expression, we find that x is equal to $812.44. Therefore, the regular price of the Sealy mattress, before the 20% discount, is $812.44.

Hence, the correct option is d. $812.44.

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Answer: I'm assuming your asking the length of each side. If so, each side is 90 degrees. If not, you should be more specific

Step-by-step explanation:

360 degrees divided by 4 sides equals 90 degrees for each side.

Using the following building blocks in the right column to assemble a direct proof that the product of two odd numbers is odd, we have:

A mathematical proof is an inferential justification for a mathematical claim that demonstrates how the premises logically support the conclusion.

The direct proof has been assembled above,

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The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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