which does not represent the set shown on this number line?

Answer:

Length = 550 m

Width = 275 m

Area = 151,250 m2

Step-by-step explanation:

One side of the farmland is bounded by the river, so the perimeter we will need to enclose is:

\(Perimeter = Length + 2*Width = 1100\ m\)

And the area of the farmland is given by:

\(Area = Length * Width\)

From the Perimeter equation, we have that:

\(Length = 1100 - 2*Width\)

Using this in the area equation, we have:

\(Area = (1100 - 2*Width) * Width\)

\(Area = 1100*Width - 2*Width^2\)

Now, to find the largest area, we need to find the vertex of this quadratic equation, and we can do that using the formula:

\(Width = -b/2a\)

\(Width = -1100/(-4)\)

\(Width = 275\ m\)

This width will give the maximum area of the farmland. Now, finding the length and the maximum area:

\(Length = 1100 - 2*Width = 1100 - 550 = 550\ m\)

\(Area = Length * Width = 550 * 275 = 151250\ m2\)

The values of x and y after solving this system of equations will be 32/35 and -88/105 respectively.

System of equations are a set of two or more equations that contain variables. The values of the variables can be calculated using either method of elimination or substitution. The values of the variables must then satisfy all the equations.

For a set of two equations, in elimination we make the coefficient of any one variable equal to the coefficient of the same variable in the other equation. This can be done by multiplying or dividing the whole equation accordingly. Then we subtract the equations from each other and solve for one variable.

6x - 3y = 8 (multiplying this equation by -2 to make the coefficient of y equal to that of in the equation 23x + 6y = 16)

Now are equations are

-12x + 6y = -16 and 23x + 6y = 16

subtracting eq 1 from eq 2 gives,

35x = 32 (Note that y has now been eliminated)

x = 32/35

Substituting this value of x in any one of the equations will then give the value of y to be -88/105

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Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Step-by-step explanation:

you can find the answer by vertical opposite angle

if the value of x is computed and it's equal to 78 you will find the answer

78=(12x+18)^

78=(12×5+18)

78=(60+18)

78=78 the problem is solved

may u get branliest please please

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

Answer:

30

Step-by-step explanation:

150/5 = 30

Answer: 30

Step-by-step explanation:

Since the value of y varies directly with x, the value of x when y equals 9 is 9/13

Given the following data:

x = 195

y = 15

To find the value of x when y = 9:

This is a direction proportion exercise and you're required to solve for the value of x when the value of y is equal to 9.

First of all, we would determine the constant of proportionality (k) for the mathematical expression.

y = kx

15 = 195k

k = 13

Now, we can find x:

y = kx

9 = 13 x

x = 9/13

Therefore, the value of x when y equals 9 is 9/13

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complete question:

The value of y varies directly with x. If x = 195 when y = 15, what is the value of x when y = 9?

The maximum profit is $2492.08.

What is the selling price?

The cost a consumer pays to purchase a good or a commodity is known as the selling price. It is a price that is higher than the cost price and includes a profit margin. The cost of an item when acquired is referred to as its selling price (S.P.).

Here, we have

Given: A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation.

y = -3x² + 239x - 2268

At a maximum profit, dy/dx = 0, hence:

dy/dx = -6x + 239

0 = -6x + 239

x = 239/6

x = 39.8

The maximum profit is gotten when the selling price of each widget is 39.8. Hence:

y = -3(39.8)² + 239(39.8) - 2268

y = 2492.08

Hence,  the maximum profit is $2492.08.

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Answer:

Step-by-step explanation:

There are 108 feet in 36 yards.what is the constant of proportionality that relates y, the number of yards to x, the number of feet?

Answer:

1/3 im pretty sure this is the right answer wish you good luck

Answer:

15p + 10

Step-by-step explanation:

5 (3p+2)

15p + 10

Answer:

70 and 14

Step-by-step explanation:

You divide 84 into 6 parts, so you get 70 and each part is 14, 14x5=70 then if you add 14 its 84.

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

\(\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}\)

Where  

\(a\) is the side opposite to \(\angle A\)

\(b\) is the side opposite to \(\angle B\)

\(c\) is the side opposite to \(\angle C\)

\(\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08\)

\(\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22\)

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = 32.3

Area of a triangle is given as:

\(\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)\)

\(\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}\)

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Answer:

B

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.

To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.

Starting with -4x + y = -3, we isolate y by adding 4x to both sides:

y = 4x - 3

Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.

If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:

y > 4x - 3

If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:

y < 4x - 3

The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.

For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.

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Answer:

Divide both sides by 18. The new coefficients will be the reciprocals of the intercepts:

\(6x-3y=18 \rightarrow \frac6{18}x - \frac3{18}y = 1 \rightarrow \frac x3-\frac y6 =1\) The two intercepts are then 3 and -6.

(I know, dividing by 3 both sides of the equations would have made the whole process way easier).

Alternatively, plug x = 0 to find the y intercept and y=0 to find the x intercept. Either way the graph will look something like the one I'm sketching on paint.

Answer:

Let us set up a ratio to find the relationship between side lengths of the two triangles.

25:10

5:2

We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.

So, if XZ is 6, let's place it into the ratio and find what "x" is.

5(3) : 2(3)

15 : 6

x = 15

The roots of the quadratic equation 3y² + 3(4y² - 2) is ± √(1/7).

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, 3y² + 3(4y² - 2).

3y² + 12y² - 2.

14y² - 2.

Let 14y² - 2 = 0.

14y² = 2.

y² = (2/14).

y = ± √(2/14) Or ± √(2/2×7) Or ± √(1/7).

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Answer:

  (1)  -5

Step-by-step explanation:

Put the value where the variable is, read the graph, and do the arithmetic.

  g(2) = 3f(2) -2 = 3(-1) -2

  g(2) = -5

__

Additional comment

f(2) is the point on the graph where it is 2 units to the right of the y-axis. At that point, the graph is 1 unit below the x-axis, so f(2) = -1.

Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)

Answer:

B 6c.

Step-by-step explanation:

The mean will be c multiplied by 6.

Given the general rule for the division of fractions:

Then, in this case we have the following:

therefore, only the second and the last options are less than 1

The box plots provide visual representations of the distribution of salaries at two companies, Company A and Company B. To compare the ranges and medians of the data sets, we examine the characteristics of each box plot.

The range of a data set represents the difference between the maximum and minimum values. Looking at the box plots, we can determine that the range of Company A's salaries is larger than the range of Company B's salaries.

This can be inferred by observing the lengths of the whiskers, where the whiskers in Company A's box plot extend further in both the upper and lower directions compared to Company B's box plot.

The median of a data set represents the middle value when the data is arranged in ascending or descending order. Comparing the medians of the two box plots, we can determine that the median of Company A's salaries is higher than the median of Company B's salaries.

This is evident by comparing the positions of the medians within the boxes. In Company A's box plot, the median is closer to the upper quartile, indicating a higher median salary, while in Company B's box plot, the median is closer to the lower quartile, suggesting a lower median salary.

In summary, the range of salaries at Company A is larger than that of Company B, indicating a wider spread of salary values. Additionally, the median salary at Company A is higher than the median salary at Company B, suggesting a higher central tendency or midpoint in the distribution of salaries.

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Answer:

x=3102.5/8.5 is your answer

Step-by-step explanation:

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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A convex octagon can be split into a set of triangles by connecting its vertices in a way that each vertex is connected to its neighboring vertices.

There are several ways to split a convex octagon into triangles, but a common approach is to use the ear clipping algorithm, which involves finding triangles that have their vertices on the octagon's perimeter and have no other vertices inside the triangle.

For example, if the vertices of the octagon are given by v1, v2, v3, v4, v5, v6, v7, and v8, then we can split the octagon into the following triangles:

(v1, v2, v3), (v3, v4, v5), (v5, v6, v7), (v7, v8, v1), (v2, v3, v5), (v4, v5, v7),

(v6, v7, v1), and (v8, v1, v3).

Each of these triangles has three vertices that are connected to form a closed polygon, and together they form the entire convex octagon. By splitting the octagon into smaller triangles, it is easier to perform computations, such as finding the area or the normal vectors of the octagon's surface.

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Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

Answer:

-3/1

Step-by-step explanation:

brainliest pls

Answer:

157

Step-by-step explanation:

thats it

x= 157

they are same