Fill in the blank. In the figure below, CA is the perpendicular bisector
of AC . Find the value of x.
The value of x is___
The length of BD is___

The model that can be used to determine the total amount of prize money based on the value of the first place prize is as follows;

Total amount of price money = 5x - 500

The prices are given to the best 5 acts. The first place wins the most money and each place after that wins $50 less than the previous place. The pattern follows a sequence.

Sequence  is a list of things (usually numbers) that are in order. Therefore,

let

the first price = x

The common difference of the sequence would be - 50.

To create a model that can be used to determine the total amount of prize money based on the value of the first place prize can be done as follows;

Therefore,

Total amount of price money = x + x - 50 + x - 100 + x - 150 +  x - 200

Total amount of price money = 5x - 500

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The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

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The vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y). When you compute f(1,2)−f(0,1), the result is ⟨1, 1⟩

Given the vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y), you are asked to compute f(1,2)−f(0,1).

Step 1: Evaluate f(1,2) and f(0,1).
f(1,2) = ⟨1(2), 1(1)⟩ = ⟨2, 1⟩
f(0,1) = ⟨1(1), 1(0)⟩ = ⟨1, 0⟩

Step 2: Compute f(1,2) - f(0,1).
To find the difference between two vectors, subtract the corresponding components of the vectors.
f(1,2) - f(0,1) = ⟨2, 1⟩ - ⟨1, 0⟩ = ⟨2-1, 1-0⟩ = ⟨1, 1⟩

Therefore, the vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y). When you compute f(1,2)−f(0,1), the result is ⟨1, 1⟩.

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Answer:

oof  we just went over that

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

diffusion is move from high to low

The sample space for a eight-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8} ( optionD)

A sample space a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample space may contain a number of outcomes that depends on the experiment.

For example the sample space in a six- sided fair die is 6 and the items is {1, 2, 3, 4, 5, 6}. Each face of the die will represent a number from 1 to 6.

Similarly in a eight-sided fair die, the space on the die are 8 and each face will represent a number. This means that taking the numbers from 1, the faces will have 1, 2, 3 ,4 ,5, 6 ,7, 8,

Therefore the the sample space on a eight-sided fair die is {1, 2, 3, 4, 5, 6, 7, 8}.

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Answer: D is the correct answer I got it right

Step-by-step explanation:

Step-by-step explanation:

(j+2)×(2j+1)

Multiply each term in the first parenthesis by each term in the second parenthesis (FOIL)

j×2j+j+2×2j+2

Calculate the product

2j² + j + 2 × 2j + 2

Calculate the product

2j² + j + 4j + 2

Collect like terms

2j² + 5j +2

Solution: 2j² + 5j + 2

Answer:

Step-by-step explanation:

(j + 2) × (2j + 1) =

2j² + j + 4j +2 =

2j² + 5j +2

ANSWER

1.08p = t

x = m/4

V = 12s^2

EXPLANATION

The proportional relationship between the quantity y and the quantity x has a constant of proportionality k and is expressed by the equation y = kx. If the equation can be rewritten in other forms as above, it is proportional.

Equation 1.

120 - x = L.

This cannot be rewritten as y = kx

Equation 2:

1.08p = t

This can be rewritten as y = kx

Equation 3

x = m/4

This can be rewritten as y = kx

Equation 4

V = 12s^2

This can be rewritten as y = kx

Hence, 1.08p = t, x = m/4 and V = 12s^2 equations represent proportional relationships.

Answer:

slope = \(\frac{4}{3}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = C (1, 3 ) and (x₂, y₂ ) = B (4, 7 )

m = \(\frac{7-3}{4-1}\) = \(\frac{4}{3}\)

Answer:

800

hope this helps

Answer:

8 pounds total

Step-by-step explanation:

first calculate how much she used in total

1/4 + 3/8

need like denominators so multiply 1/4 by 2

2/8 + 3/8 = 5/8

so 5/8 of the total is 5 pounds, now find the total

if 5/8 = 5, then 8/8 = _8_

Answer:

x>8

Step-by-step explanation:

Since the arrow is going to the right, we know that it is greater than.

We know it is not greater than or equal to because the dot in the middle is not shaded in. Therefore, the answer is x > 8.

Answer:

x > 8  the hollow circle means > instead of ≥ and the line is on the right side of 8 so x is greater than 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

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Answer:

\(\frac{x-10}{4}\)

Step-by-step explanation:

When it says less then that means 10 is less than x. You can write divided by 4 either by putting it as a fraction or by using the division sign as "x-10 / 4."

The quantity 10 less than x, divided by 4 is mathematically given as (10 - x) / 4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

If the quantity 10 is less than x, then the expression will be

⇒ 10 - x

Then the quantity 10 less than x and divided by 4, then the expression will be

⇒ (10 - x) / 4

The quantity 10 less than x, divided by 4 is mathematically given as (10 - x) / 4.

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(a) For f(x) = F(x,1), the derivative f′(x) is equal to Gx(x,1).(b) If f(x) = F(3,x), the derivative f′(x) is H(3,x).(c) In the case of f(x) = F(x,x), the derivative f′(x) is given by G(x,x) + H(x,x).(d) For f(x) =\(F(5x,x^5)\), the derivative f′(x) can be expressed as \(5G(5x,x^5) + 5x^4H(5x,x^5)\).

To find f′(x)f′(x) for each case, we need to apply the chain rule. Let's start with the given information:

(a) f(x) = F(x,1)

Since F(u,v) = G(u,v) and Fv(u,v) = H(u,v), we can rewrite f(x) as:

f(x) = G(x,1)

Applying the chain rule, we have:

f′(x) = Gx(x,1) + Gy(x,1) * 1

      = Gx(x,1)

Therefore, f′(x) = Gx(x,1).

(b) f(x) = F(3,x)

Using the chain rule:

f′(x) = Fx(3,x) * 0 + Fv(3,x) * 1

      = H(3,x)

So, f′(x) = H(3,x).

(c) f(x) = F(x,x)

By applying the chain rule for the function:

f′(x) = Fx(x,x) + Fv(x,x)

      = G(x,x) + H(x,x)

Hence, f′(x) = G(x,x) + H(x,x).

(d)\(f(x) = F(5x,x^5)\)

Using the chain rule:

f′(x) = \(Fx(5x,x^5)\) * 5 + \(Fv(5x,x^5) * (5x^4)\)

      = \(G(5x,x^5) * 5 + H(5x,x^5) * (5x^4)\)

Therefore, f′(x) = \(5G(5x,x^5) + 5x^4H(5x,x^5).\)

In summary, the derivatives are as follows:

(a) f′(x) = Gx(x,1)

(b) f′(x) = H(3,x)

(c) f′(x) = G(x,x) + H(x,x)

(d) f′(x) = \(5G(5x,x^5) + 5x^4H(5x,x^5).\)

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The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

This would be a regular polygon.

Step-by-step explanation:

A regular polygon has congruent sides and interior angles.

An irregular polygon does not have congruent sides and all interior angles.

A convex polygon does not have a interior angle greater than 180°.

Lastly, a concave polygon has only one interior angle greater than 180°.

Using the process of elimination, it would not be a convex or concave polygon. Now we have either a regular or irregular polygon. This polygon can not be a irregular polygon because all the sides are congruent. This means that this polygon is a regular polygon!

The given polygon is a regular convex polygon.

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain (or polygonal circuit). The bounded plane region, the bounding circuit, or the two together, may be called a polygon.

The segments of a polygonal circuit are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. The interior of a solid polygon is sometimes called its body.

Given,

Polygon has 8 edges and 8 vertices.

1. Regular or Irregular:

A regular polygon has congruent sides and interior angles.

In the figure all sides are of equal length and the angle are same so, It is a regular polygon.

2. Convex or concave:

Convex polygon has all interior angles less than 180° while in concave polygon at least one interior angle should be greater than 180°.

In the given polygon all angles are less than 180°, so it is a convex polygon.

Hence, by the above explanation, the given polygon is regular convex polygon.

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The inverse of (- 2 . 3 ) is (1 / - 2.3 ).

In mathematics, the inverse of a number refers to the concept of taking its reciprocal; for instance (2 . w ) results in its reciprocal as ( 1/ 2. w ). When a number is multiplied by its inverse the result yields 1, meaning that the product of the number and its inverse, i.e. reciprocal always equals 1.

As per the given number which is (-2.3) and its inverse is ( 1 / -2.3 ), when these two numbers are multiplied together they result in 1. Such as:

(-2.3) x ( 1 / -2.3 ) = 1

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Answer: 4/1

Step-by-step explanation:

Rise over run. Starting at 1 on the y axis this line moves up 4 and over (right) 1 before it hits 1 on the x axis.

Answer:

We can use the formula for the volume of a cylinder to find the volume of the barrel:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

First, we need to find the radius of the barrel. The diameter is given as 23.25 inches, so the radius is half of that:

r = 23.25 / 2 = 11.625 inches

Next, we can substitute the given values into the formula:

V = π(11.625)^2(34.9)

V ≈ 14,898.65 cubic inches

Rounding this to the nearest hundredth, we get:

V ≈ 14,898.65 cubic inches ≈ 14,898.64 cubic inches (rounded to the nearest hundredth)

Therefore, the volume of the barrel is approximately 14,898.64 cubic inches.

Answer:

y+1/12.5=2/5

or,5y+5=25

ory=20/5

so, y=4

Step-by-step explanation:

hope it helps you

Answer:

I believe its a: steve needs to increase the total cost from $300.00 to $500.00.

Step-by-step explanation:

The number 87 is 13% less than 100.

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

To calculate the percentage less than 100, we can use the formula:

Percentage less than 100 = ((100 - given number) / 100) * 100

Using this formula, we can find the percentage less than 100 for the number 87:

Percentage less than 100 = ((100 - 87) / 100) * 100

= (13 / 100) * 100

= 13%

Therefore, the number 87 is 13% less than 100. This means that 87 is 13% smaller than 100. In other words, if we decrease 100 by 13%, we will get 87.

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Answer:

A - True
B - False
C - True

Step-by-step explanation:

A:
Parallel lines never intersect each other because in order for them to be classified as parallel, they must have the same slope, which will never cross over each other at any point; True
B:
A transversal does intersect two or more parallel lines, but crossing two parallel lines at three distinct points is not possible; False
C:
Perpendicular distance between parallel lines is always the same because they have the same slope and therefore are always the same distance away from each other; True

The equation in slope-intercept form that represents the e line on Isabella's map is y = 8x - 67.  

To write the equation of the e line in slope-intercept form, we need to find the slope of the line since we already have one point on the line. Since the a line and e line are parallel, they have the same slope. Therefore, the slope of the e line is also 8.

Next, we can use the point-slope form of the equation of a line to find the equation of the e line. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We know that the e line passes through the point (9, 5) and has a slope of 8, so we can plug these values into the point-slope form:

y - 5 = 8(x - 9)

Now, we can simplify this equation to slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept:

y - 5 = 8x - 72

y = 8x - 67

Therefore, the equation in slope-intercept form that represents the e line on Isabella's map is y = 8x - 67.  

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Answer:

259

Step-by-step explanation:

3112 / 12 = 259.3

/ is divide

How many they have divided by how many they want per box = how many they have to sell

Let the width of the field = w

∵ The length is four times as the width

∵ The width = w

∴ The length = 4w

∵ The length is decreased by 10 feet

∴ The new length = 4w - 10

∵ The width is increased by 2 feet

∴ The new width = w + 2

The new perimeter is 80 feet

∵ The perimeter of the rectangle = 2(length + width)

Let us simplify it

Now equate it by 80

Add 16 to both sides

Divide both sides by 10

The length is 4 times the width

The length is 38.4 feet and the width is 9.6 feet

The required equation of the line is 3x + 2y = 8.

What is an equation?

Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. To solve equations from either family, algorithmic or geometric approaches derived from linear algebra or mathematical analysis are used. Algebra also explores and solves Diophantine equations with integer coefficients. The approaches employed are unique and derive from number theory. In general, these equations are complex; one frequently searches just for the existence or lack of a solution, and, if they exist, the number of solutions.

The required equation of the line is

(y-4) = (0+6)/(4-8) (x-0)

or, y - 4 = 6/(-4) x

or, y - 4 = -3/2 x

or, 2y - 8 = -3x

or, 3x + 2y = 8

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A factorization of the quadratic function 81x² - 36x + 4 is (9x - 2)².

First of all, we would rearrange the given quadratic function as follows;

4 - 36x + 81x²

81x² - 36x + 4

By using the sum-product pattern, we have the following:

81x² - 18x - 18x + 4

By writing the common factor from the two pairs, we have the following:

(81x² - 18x) + (-18x + 4)

9x(9x - 2) - 2(9x - 2)

By rewriting in factored form, we have the following:

(9x - 2)(9x - 2)

Lastly, we would combine to a square as follows;

81x² - 36x + 4 = (9x - 2)².

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Complete Question:

Factorize each of the following expressions completely.

(a) 4 - 36x + 81x²

Answer:

\(11\dfrac{3}{5}$ miles\)

Step-by-step explanation:

Miguel ran \(2\dfrac{9}{10}\) miles on Monday.

On Friday, he ran 5 times as far as he did on Monday.

Miles run on Friday

\(=5 X 2\dfrac{9}{10}\)

\(=5 X \dfrac{29}{10}\\=\dfrac{29}{2}$ miles\)

Difference in Number of Miles Run

\(=\dfrac{29}{2}-\dfrac{29}{10}\\=\dfrac{145-29}{10}\\=\dfrac{116}{10}\\=11\dfrac{3}{5}$ miles\)

Therefore, Miguel ran \(11\dfrac{3}{5}$ miles\) farther on Friday.