Mr. Boswell’s class is having an election. Students are electing a President, Vice President, Secretary, and Treasurer. The candidates running for each office are listed in the table shown. What is the ratio of candidates for President to total candidates?

Check the picture below.

Answer:

[tex]\sqrt[3]{-x}[/tex] and [tex]-\sqrt[3]{x}[/tex]

Step-by-step explanation:

I inserted these functions into a graphing calculator and checked if they were identical or not

Answer:

First part is D and F

The Second part is A,C,D

Step-by-step explanation:

EDG 2023

The value of y in the given proportion is 1/13.

In mathematics, a proportion is a statement that two ratios are equal. A ratio is a comparison of two quantities, typically written as a fraction. For example, if we have two quantities, a and b, then the ratio of a to b is written as a/b.

A proportion is written in the form a/b = c/d, where a, b, c, and d are numbers. This means that the ratio of a to b is equal to the ratio of c to d. We can also write this as a:b = c:d.

To solve the proportion:

                   (4y+5):3=(y+7):4

We can cross-multiply and simplify:

                  4(4y+5) = 3(y+7)

                  16y + 20 = 3y + 21

Subtracting 3y from both sides:

                  3y + 20 = 21

Subtracting 20 from both sides:

                  13y = 1

Dividing both sides by 13:

                  y = 1/13

Therefore, the value of y that satisfies the proportion is y = 1/13.

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They both represent the same information - for every 96 action/ adventure movies, there are 38 sci-fi movies to stream.  96:38 and 38:96 are both equivalent ratios because they are inverse proportions of each other.

Inverse is the opposite of something. It can be used to describe the opposite of a mathematical operation, such as taking the reciprocal of a number, or the opposite of a logical statement, such as negating the statement. It can also be used to describe the opposite of an action, such as reversing a direction or undoing an action. Inverse can also be used to describe the opposite of an effect, such as the opposite of a physical reaction or the opposite of an emotional response. Inverse relationships can often be seen in nature, such as how a decrease in temperature results in an increase in pressure, or how an increase in the amount of light results in a decrease in the number of insects in a certain area.

a:

1. 96:38

2. 38:96

3. (96/38):1

b: 96:38 and 38:96 are both equivalent ratios because they are inverse proportions of each other. They both represent the same information - for every 96 action/adventure movies, there are 38 sci-fi movies to stream. The only difference is the order of the numbers, but the ratio remains the same.

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The income tax for each household are:

Let's evaluate each household income tax cases:

Household 1

Taxable income = $400,000

Tax rate = $45,210 + 35%  over $204,100

Income tax = $45,210 + 35% ($400,000 - $204,100)

Income tax = $45,210 + $68,565

Income tax = $113,775

Household 2

Taxable income = $10,954

Tax rate = 10% income

Income tax = 10% ($10,954)

Income tax = $1,095.40

Household 3

Taxable income = $108,962

Tax rate = $12,962 + 24% over $84,200

Income tax = $12,963 + 24%($108,962 - $84,200)

Income tax = $12,963 + $5,942.88

Income tax = $19,804.88

Household 4

Taxable income = $209,850

Tax rate = $45,210 + 35% over $204,100

Income tax = $45,210 + 35% ($209,850 - $204,100)

Income tax = $45,210 + $2,012.50

Income tax = $47,222.50

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Answer:

There were 8 student who went on a trip.

Step-by-step explanation:

Let's call the original number of students "x". The total cost of the trip was $80, so the cost per student was $80/x.

When four more students decided to go, the new number of students became x + 4, and the cost per student was reduced by $1, to $80/x - $1.

We can set up an equation to solve for x:

$80/x = $80/(x + 4) - $1

Expanding the right side:

$80/x = $80/x + $80/4 - $1

Combining like terms:

$80/x = $80/4 + $80/x - $1

Solving for x:

$80/4 = $80/x - $1

$80/4 + $1 = $80/x

$20 + $1 = $80/x

$21 = $80/x

Finally, solving for x:

x = 80/$21 = 80/21 = 3.81 (rounded to nearest whole number)

So, there were 4 students on the original trip.

There were 4 students on the original trip and 4 more students joined, so in total, there were 4 + 4 = 8 students who went on the trip.

Answer: 8 student

Step-by-step explanation:

Answer:

sorry but it not possible here i can explain on another platform

Refer to the attached image.

Multiplying the length and width together, we get 3m x 4m = 12m². This means that the area of the rectangle is 12 square meters.

Area = Length x Width

Area = 3m x 4m

Area = 12m²

To solve for the area of a rectangle, you will need to use the formula Area = Length x Width. In this example, the length of the rectangle is 3 meters and the width is 4 meters. To calculate the area of the rectangle, you will need to multiply the length and width together. 3m x 4m = 12m². Therefore, the area of the rectangle is 12 square meters.

The area of a rectangle is calculated by multiplying the length and width of the rectangle together. The formula used to calculate the area of a rectangle is Area = Length x Width. To put this formula into practice, lets use the example of a rectangle that is 3 meters long and 4 meters wide. Multiplying the length and width together, we get 3m x 4m = 12m². This means that the area of the rectangle is 12 square meters. This formula can be used for any rectangle, as long as the length and width are known. Knowing the area of a rectangle can be useful for many purposes, such as calculating the amount of paint or carpeting needed to cover the surface area of the rectangle.

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Answer:

The party pack has 20 strawberry candies and 25 banana candies. To calculate this, divide the number of strawberry candies in the mega pack (40) by the total number of candies in the mega pack (90). This gives you a ratio of 4:5. For the party pack, divide the number of strawberry candies (20) by that same ratio (4:5) to find the number of banana candy pieces, which is 25.

The value of the x is 228.57 units.

What is the angle bisector theorem?

The angle bisector theorem states that a triangle's angle divides the opposing side into two portions that are proportionate to one another.

We have given,

Triangle, Let's consider it ΔABC,

then,

Measures of Angles ∠B= 37, ∠C=32, and side AD = 82

To find x =?

In the triangle side AD is the bisector, it forms a new triangle  ΔADC.

According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.

As per the Angle bisector theorem, the ratio of the line segment BD to DC equals the ratio of the length of the side AB to AC.

To find AB & AC:

sin θ = side opposite to angle θ / hypotenuse

cos θ = side adjacent to angle θ / hypotenuse

sin θ = AD / AB

sin 37 = 82 / AB

AB = 82/ sin 37

AB = 136.25

cos θ = BD / AB

cos θ = BD/136.25

BD = cos37 * 136.25

BD = 104.9

sin θ = AD / AC

sin32 = 82 / AC

AC = 149

cos32 = DC / AC

cos32 = DC / 149

DC = 123.67

So, x = BD + DC

x = 104.9 + 123.67

x = 228.57

Hence, the value of the x is 228.57 units.

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The mason will need 77 bags of mortar mix for the retaining wall.

Purchasing is the process a business or organization uses to acquire goods.

To find out how many bags of mortar mix the mason needs

we need to calculate the number of bags required for 640 blocks.

The guidelines suggest that 12 bags are required for every 100 blocks, so for 640 blocks, we need:

12 bags * (640 blocks / 100 blocks) = 12 * 6.4 = 76.8

Since the mason cannot purchase part of a bag, he will need to round up to the nearest whole number of bags. In this case, 77 bags will be required.

So, the mason will need 77 bags of mortar mix for the retaining wall.

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The relationship between the rectangles ABCD and WXYZ is AB = WX.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Given the rectangles ABCD and WXYZ, in a coordinate grid,

length of rectangle ABCD is parallel to the Y-axis and the length of rectangle WXYZ is parallel to the X-axis,

let us consider the scale of the grid to be 1 unit,

from graph,

AD = BC = 5 units

AB = DC = 3 units,

and for rectangle WXYZ,

XY = WZ = 5 units

WX = YZ = 3 units

so AB = WX

Hence option D is correct.

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A solid shape is considered to be regular if all of its faces are congruent, meaning they have the same shape and size. In the context of three-dimensional shapes, there are several examples of regular solid shapes, including the cylinder, cube, and cuboid.

A) Cylinder: A cylinder is a solid shape with two parallel, congruent circular bases connected by a lateral surface. All of the lateral faces of a cylinder are parallelograms, and the circular bases have the same shape and size, making the cylinder a regular solid shape.

B) Cube: A cube is a regular solid shape with six congruent square faces. All of the faces meet at right angles, and each face is parallel to the opposite face, making the cube a regular solid shape.

C) Cuboid: A cuboid is a solid shape with six rectangular faces. The opposite faces of a cuboid are congruent rectangles, and all of the faces meet at right angles, making the cuboid a regular solid shape.

In conclusion, the cube and the cuboid are regular solid shapes because all of their faces are congruent, while the cylinder is a regular solid shape because all of its lateral faces are congruent parallelograms and its bases have the same shape and size. These regular solid shapes are useful in geometry and provide a foundation for understanding the properties of more complex solid shapes.

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Answer:

[tex]y=\dfrac{1}{8}x^2[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}[/tex]

Given that the vertex of the parabola is (0, 0):

Substitute the values of h and k into the formula:

[tex]y=a(x-0)^2+0[/tex]

[tex]y=ax^2[/tex]

Given that the parabola passes through the point (12, 18), substitute this into the equation and solve for a:

[tex]18=a(12)^2[/tex]

[tex]18=144a[/tex]

[tex]a=\dfrac{18}{144}[/tex]

[tex]a=\dfrac{1}{8}[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]y=\dfrac{1}{8}x^2[/tex]

The total area of ​​all three circle lights is:

115.395 square inches.

The area of ​​the circle formula helps measure the space occupied by a circular field or plot. Assuming you have land to the fence, the area formula will help you determine how much fencing you will need.

The area of ​​a circle is the area occupied by the circle in the two-dimensional plane. It can be easily determined by the formula A = [tex]\pi r^{2}[/tex],  (Pi r-square) where r is the radius of the circle. Area units are square units such as For example m², cm², etc.

The total area of ​​all three circular lights can be calculated by multiplying the area of ​​one light (38.465 square inches) by 3.

Total area = 3 x 38.465 square inches

Total area = 115.395 square inches.

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It takes 3.9 years long the person have to leave the money in the bank until it reaches 11300 dollars

Suppose that the initial amount of something is P.

Let after one unit of time, it increases by R% [per unit time] end compounds on the resultant total of that quantity, then, after T such units of time, then the quantity would increase to:

[tex]A=P\left(1+\frac{R}{100}\right)^{nT}[/tex]

A person invests 7000 dollars in a bank. The bank pays 6.25 % interest compounded semi-annually.

Given that:

Principal =7000

Interest (r) = 6.25 % compounded semi annually

As compounded semi annually n = 2

Calculate time, t, if final amount A = 11300

Using the compound interest formula

[tex]A=P\left(1+\frac{R}{100}\right)^{nT}[/tex]

A = Final amount

n = number of times interest is applied per period

11300 = 7000 [tex](1+0.0625)^{2t[/tex]

113 = 70 [tex](1.0625)^{2t[/tex]

1.614 =  [tex](1.0625)^{2t[/tex]

Take the log of both sides

log 1.614 = 2t log 1.0625

0.2079 = 2t (0.0263)

0.2079 = 0.0526 t

t = 3.9

Time period will be 3.9 years.

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Answer: the answer is 9

Step-by-step explanation:

simply divide 2 from both sides in order to cancel out the left side and isolate the variable. 18 divided by 2 is 9

Chris's method of finding the surface area of a box by thinking of it as a combination of a triangular prism and a rectangular prism is a valid and useful approach.

What is Surface area?

The surface area of a solid item is a measurement of the total area occupied by the object's surface.

Yes, Chris's method of finding the surface area of a box by thinking of it as a combination of a triangular prism and a rectangular prism makes sense.

A box can be thought of as a combination of a triangular prism and a rectangular prism because a box is made up of six faces, with three rectangular faces and three triangular faces. By finding the surface area of the triangular prism and the rectangular prism separately, and then adding them together, one can find the total surface area of the box.

This method can make finding the surface area of a box faster and easier because one can use formulas that are specifically designed for finding the surface area of triangular prisms and rectangular prisms. By breaking down the box into its constituent parts, one can simplify the calculation and avoid having to use a more complex formula for finding the surface area of a box.

In summary, Chris's method of finding the surface area of a box by thinking of it as a combination of a triangular prism and a rectangular prism is a valid and useful approach.

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The expression giving the time that he took to complete the journey is given as follows:

t = 100/d.

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

For this problem, the distance is given as follows:

d = 100 km.

Hence the expression to obtain the time needed is given as follows:

v = 100/t

vt = 100

t= 100/v.

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The associative property works with addition and multiplication, but not division and subtraction because the grouping of terms affects the result of the operation.

A mathematical concept known as the associative property governs the addition and multiplication of three or more terms. It claims that the way the phrases are grouped has no bearing on how the operation turns out.

This implies that the same result may be obtained by adding or multiplying three or more terms in any sequence. Nevertheless, division and subtraction are not covered by the associative property.

We should take a gander at the accompanying cases to show how expansion and increase are connected:

Example 1: Addition

(2 + 3) + 4 = 2 + (3 + 4)

5 + 4 = 2 + 7

9 = 9

Example 2: Multiplication

(2 × 3) × 4 = 2 × (3 × 4)

6 × 4 = 2 × 12

24 = 24

We can observe from both cases that the word grouping has no impact on the operation's outcome. The associative characteristic, therefore, applies to both addition and multiplication.

The associative characteristic, however, does not apply to division and subtraction. For instance:

(8 ÷ 4) ÷ 2 ≠ 8 ÷ (4 ÷ 2)

2 ÷ 2 ≠ 8 ÷ 2

1 ≠ 4

We can observe from this example that the term grouping has an impact on the operation's outcome. The associative property does not, therefore, apply to division.

The associative property does not also hold for subtraction. For instance:

(8 - 4) - 2 ≠ 8 - (4 - 2)

4 - 2 ≠ 8 - 2

2 ≠ 6

In this example, we can again see that the grouping of terms affects the result of the operation. Therefore, the associative property does not apply to subtraction.

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they are called perfect square numbers

4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196 heres some hope that helps!

Answer: 8.5 L

Step-by-step explanation: I looked it up l o l

Answer:

Your answer is: 8.51718

Step-by-step explanation:

There's 1.057 quarts in a liter. You multiply that by 9 to get 8.51718.

Grade 4N usually has physical education on a Wednesday at 1:43 pm and ends at 2:13 pm. with the new mandated change, at  2:28 pm Grade 4N PE will now end

The new regulations require physical education classes to be a minimum of 30 minutes long. Allowing for an extra 15 minutes to the existing PE class brings the end time to 2:28 pm.  This is an important change because it ensures that all students receive the recommended amount of physical activity each week.

Physical education is a vital part of a student’s development, as it provides the opportunity for students to become more active, and socially engaged, and learn about the importance of a healthy lifestyle.  The extra 15 minutes of physical education also allows for more time for students to learn about safety procedures and the proper way to use the equipment, which is important for the overall well-being of the students.

Additionally, the extra time allows for more time for individual instruction, which can be beneficial for students who need extra help or who may be struggling with a certain skill.

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option B is correct, the equation or function of the graph is y≥3/4x-3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The line passing through points (4,0) and (0,3)

Slope=3/-4=-3/4

Now let us find y intercept

0=-3/4(4)+b

0=-3+b

b=3

Hence, option B is correct, the equation or function of the graph is y≥3/4x-3.

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Answer:

change in temperature = final - temperature

= -9°-15° = -24°C

The simplest form of (m². m⁵. m⁻³ ) is m⁴  

Writing a number as the product of itself a number of times are known as an Exponent.

For example,

If 7 is multiplied by itself 3 times, i.e. 7 × 7 × 7. This can be represented as 7³. Where 7 is the base and 3 is the exponent.

If a is multiplied by itself b times, i.e. a × a × a...(b times). This can be represented as (aᵇ). Where 'a' is the base and 'b' is the exponent.

Here we have

The expression (m². m⁵. m⁻³ )

As we know, (aᵇ . aˣ. aᵃ) = aᵇ⁺ˣ⁺ᵃ  

(m². m⁵. m⁻³ ) = m²⁺⁵⁻³  = m⁴  

Therefore,

The simplest form of (m². m⁵. m⁻³ ) is m⁴  

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The sphere ball will not sink because it has a density of 0.34 g/cm³ which is lesser than density of water

Density is the substance's mass per unit of volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume.

Density = mass/volume

volume of the sphere = 4/3 πr³

= 4/3 × 3.14 ×4³

= 803.84/3

= 267.95 cm³

Density of the sphere = 90/267.95

= 0.34 g/cm³( nearest hundredth)

Therefore the sphere will not sink because it's density is lesser than that of water.

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Answer:

1. rest

2. dynamics

3.  measure

4. chord

5. staff

6. double bar line

7. bar line

8. mezzo-piano

9. fermata

10. allegro

11. articulation

12. moderato

13. tenuto

14. larghetto?

15. accent

16. crescendo

17. diminuendo

18. time signature

19. accelerando

20. slur

Answer:

A)7y-4xy

Algebraic expressions are just that expressions. No inequality signs or equations. That's what makes them special

Step-by-step explanation: