On solving the provided question, we can say that as we have a hexagon here, each angle = x = 120

what is hexagon?A hexagon is a **six-sided polygon **or hexagon in geometry that makes up the cube's outline. A straightforward hexagon's **internal angles **add up to 720°. A closed two-dimensional polygon with six sides is what is known as a hexagon in geometry. Additionally, a hexagon has 6 corners on each side. Hexa signifies six, and gona denotes an angle. Soccer balls, honeycombs, floor tiles, and surfaces of pencils are all hexagonal in shape. A hexagon is a polygon with six sides in geometry. A hexagon is referred to as a regular hexagon if all of its sides and angles have the same length.

as we have a hexagon here,

so sum of angles = 720

x+x+x+x+x+x = 720

6x = 720

x = 720/6

x = 120

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The band wanted to do a fundraiser to raise money for the competition trip to Disney land they had an initial amount of money in their booster club account and each band member was expected to raise the same amount the equation 300x + 750 = 23,250 represents the total amount of money in the account after they were done fundraising if z represent the number of students in the band what does 750 likely represent

The value **750** in **equation** 300x + 750 = 23,250 represents the **initial** **amount** in the club account.

An **equation** is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

**Initial** **amount** in the club account = m

Amount raised by each **member** = n

All members raised the same amount.

Number of **members** = x

The **total** **amount** raised by all the members = p

nx + m = p

This is similar to the **equation** 300x + 750 = 23,250

So,

n = 300

m = 750

p = 23,250

Now,

m = 750 is the **initial** **amount** in the club account.

Thus,

750 represents the **initial** **amount** in the club account.

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help so i can get an A?

**Simplified** form of -5⁷÷ 5² is -5⁵.

The correct option is C.

What is expression?**Expressions** in math are mathematical **statements** that have a minimum of two **terms** containing **numbers** or **variables**, or both, connected by an **operator** in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

Given expression,

-5⁷÷ 5²

Above expression can be written as

-5⁷/5²

= -1(5⁷)/5²

= -1(5⁵.5²)/5²

= -1(5⁵)

= -5⁵

Hence, -5⁵ is the **simplified** form of expression -5⁷÷ 5².

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5. Triangle DEF has vertices D(4, -3), E(-2, 1), and F(-9. -6). Find the area of the triangle.

**Area** of the triangle DEF = 35 square unit.

A **triangle** is a **three**-sided **polygon**, which has three **vertices**. The three sides are connected with each other end to end at a **point**, which forms the **angles** of the triangle. The **sum** of all three **angles** of the triangle is equal to **180** degrees.

Given,

**Vertices** of triangle

D(4, -3), E(-2, 1), and F(-9. -6)

x₁ y₁ x₂ y₂ x₃ y₃

Area of triangle S = 1/2[x₁(y₂−y₃)+x₂(y₃−y₁)+x₃(y₁−y₂)]

Area of triangle DEF = 1/2[4(1 - -6) + -2(-6 - -3) + -9(-3 - 1)]

= 1/2 [4(7) -2(-3) -9 (-4)]

= 1/2[28 + 6 + 36]

= (1/2) (70)

**Area** of triangle DEF = 35 square unit

Hence, 35 square unit is the **area** of triangle DEF.

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Nicholas collected 66 pounds of shells. If he wanted to split the shells equally amongst 7 friends, how much should he give each friend? Between what two whole numbers does your answer lie?

**Answer:**

9 and 10

**Step-by-step explanation:**

66 divided by 7 would be 9.4 which lies between 9 and 10.

Which of the following is a zero of the polynomial x³ 3x² 3x?A - 1B - 2C 1D 2

A polynomial is a kind of algebraic **expression** in which the exponents of all variables should be a whole number.

The **Power** of the variables in any polynomial has to be a non-negative integer. A polynomial consists of constants and variables, but we cannot perform division operations by a **variable** in polynomials.

The example of polynomial is: 3x^2 + 5.

given the **equation** is x^3+3^2+3x.=0

(x³-x) +(3x²-3) =0

= x (x²-1) +3(x²-1)

= (x²-1) **(x+3**) = 0

(a² + b²) = (a+b) (a-b)

(x²-1) = (x+1) (x-1)

⇒(x+1) (x-1) (x+3) =0

**x** =- 3, -1, 1

So, the required **zeros** are -3, -1,1.

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What is equation easy?

A mathematical** equation** can be defined in a variety of ways.

A mathematical equation can be defined in a variety of ways. The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Equation that is linear.

There could be multiple variables in a linear equation. If a variable's highest power is always 1, an equation is said to be linear. A one-degree equation is another name for it.A **quadratic** equation.

Cubic Formula.

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2

Solving Systems of Linear and Quadratic Equations: Mastery Test

Select the correct responses in the table.

The relationship between two numbers is described below, where x represents the first number and y represents the second number.

The square of the first number is equal to the sum of the second number and 16. The difference of 4 times the second number and 1 is equal to the

first number multiplied by 7.

Select the equations that form the system that models this situation. Then, select the solution(s) of the system.

All rights reserved.

Equations

y² +16=x

x² = y +16

1-4y=7x

(2x)² = y + 16

7y-1 = 4x

4y-1 =7x

Reset

(1,15)

(2,-12)

(4,-7)

Next

Solutions

(5,9)

(8,48)

(9,3)

The **equations** that form the system that models this situation are:

B. x² = y + 16

F. 4y - 1 = 7x

The **solution** of the system of **equations** is: A. (5, 9).

In this scenario, the relationship between two numbers, where x represents the first **number** and y represents the second **number** is given by the following **word** description:

"The square of the first number is equal to the sum of the second number and 16."

"The difference of 4 times the second number and 1 is equal to the first number multiplied by 7."

Next, we would translate the **word** problem into an algebraic equation:

x² = y + 16 .......equation 1.

4y - 1 = 7x .......equation 2.

Next, we would use an online graphing calculator to plot the given system of equations** **in order to determine its solution.

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What is called longitude Class 6?

Vertical lines known as **longitudes** are used to determine the west or east of the meridian in Greenwich, England. Latitude and longitude work together to help cartographers, geographers, and others find specific locations on the globe.

Distance from the primary meridian is measured in terms of longitude. Longitude lines, often known as meridians, are fictitious lines that divide the Earth. They sprint from pole to pole from north to south, but they gauge the distance in either an east or west direction. The units of longitude are degree, minute, and second.

The North and South Poles serve as the meeting points for imaginary lines that circle the globe vertically (up and down) and are used to calculate longitude. **Meridians **are the name for these lines. One arc degree of longitude equals one meridian. There are **360 degrees** in an orbit around the Earth.

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PLEASE HELP FIND X

1/2 (2x - 4) + 2 = 4(x + 2) - 11

**Answer:**

x=1

**Step-by-step explanation:**

How do you find the coordinates of a vertex in factored form?

In order to find the y− intercept of a parabola in **factored form**, plug in 0 for x and find the corresponding y− value

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question below

Graph the line y=-4(x+1)+2y=−4(x+1)+2 using the given table of values and following the instructions below.

The required graph is **attached **below.

A Cartesian **coordinate **system in a plane is a coordinate system that specifies each point uniquely by a pair of **numerical **coordinates,

Given here: The points (0,-2) (-1,2) Also the given **equation **is

y=-4x-4+2

y=-4x-2

Thus this is linear graph with y **intercept **at -2 and using the equation we plot the two **points **from Table 2.

Hence, The **points **are plotted.

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Angela ran for 45 mins, her pace was 9 mph. How far did she run (in miles)?

Angela ran for 6.75 miles

Solve the following system of equations using substitution.

y = 2x-2

-4x-y = 26

Solve for x: Solve for y:

The **solution **to the given **system **of **linear equations **is x = -4, y = -10

From the question, we are to **solve **the given **system **of **linear equations**.

The given **system **of linear **equations **is

y = 2x - 2 ------------ (1)

-4x - y = 26 ------------ (2)

Substitute equation (1) into equation (2)

-4x - y = 26

-4x - (2x - 2) = 26

- 4x - 2x + 2 = 26

-6x + 2 = 26

-6x = 26 - 2

-6x = 24

x = 24/-6

x = -4

Substitute the value x into equation (1)

y = 2(-4) - 2

y = -8 - 2

y = -10

Hence, the x = -4, and y = -10

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What are the roots of the equation 25x^2+60x+37=0 25x ^2 +60x+37=0 in simplest a+bia+bi form?

The **roots **of the equation 25x² + 60x + 37 = 0 in **simplest form **will be - 6/5 + 100i and - 6/5 - 100i.

Let the **equation **be ax² + bx + c = 0.

Then the **roots **of the equation will be

[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]

The **equation **is given below.

25x² + 60x + 37 = 0

The **roots **of the equation is given as,

x = [- 60 ± √{(60)² - 4 × 25 × 37}] / (2 × 25)

x = [- 60 ± √(-100)] / 50

x = [- 60 ± 100i] / 50

x = - 6/5 ± 100 i

x = - 6/5 + 100i, - 6/5 - 100i

The **roots **of the equation 25x² + 60x + 37 = 0 in **simplest form **will be - 6/5 + 100i and - 6/5 - 100i.

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Baseball And Calculus

**Answer:**

Calculus in baseball. In baseball, calculus can be used to optimize the pitcher’s throw to achieve maximum efficiency. Also, calculus can be used to calculate the projectile motion of baseball’s trajectory and to predict if runners can make it to the next base on time given their running speed and the speed of a hit ball.

**Step-by-step explanation:**

Which polynomial has only one zero?p(x) = 2x²-3x+4p(x) = x² - 2x + 1p(x) = 2x + 3p(x) = 5

The **number** of zeros in a polynomial equation is determined by the number of degrees it has, which is **n**.

**Polynomial**

A polynomial is a mathematical equation made up of variables, constants, and exponents that are mixed using addition, subtraction, multiplication, and division.

**Bi-quadratic Polynomial**

(Not comparable) Biquadratic (mathematics) x4 + 3x2 + 2 is an example of a polynomial expression that only uses a variable's zeroth, second, and fourth powers. When used in the form x4 4x3 + 3x2 x + 1, it is sometimes extended to any expression containing the biquadrate or fourth power (but not higher powers).

What is a **Polynomial Equation**?

Polynomial equations are those created by combining variables, exponents, and coefficients. The greater of its possible exponents is referred to as the equation's degree.

Among all possibilities, the linear polynomial p(x) = 2x+3 is a polynomial of degree 1. Consequently, there is just one **zero** in it.

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What is the exponential form of 10x10?

The** exponential **form of 10 * 10 is** **[tex]10^{2}[/tex] . We get it from the prime factorization.

In order to get the** exponential form** of a number we have to write the prime factorization of that number. Prime factorization of the number is that number written as a product of prime numbers or as a product of powers of prime numbers. A basic exponential function from its definition is of the form f(x) = b x, where 'b' is a constant and 'x' is a variable. generally it refers to the positive valued function of a real **variable**. We can find the prime factorization of a number using factor trees, which are tools used to repeatedly break a **number** into products until all of the factors are **prime numbers.**

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Why 5 Is it possible to construct a triangle with lengths of its sides as 4 cm 3 cm and 7 cm give reason for your answer?

With sides that are 4 cm, 3 cm, and 7 cm long, a **triangle** cannot be built. Because the sum of the other two sides does **not **exceed that of the third side.

A **triangle **is referred to as a three-sided polygon that has three vertices. The connection of the three sides ends to end at a single point forms the angle of the triangle. The sum of these angles adds up to 180 degrees.

The triangle's three sides are specified as being 4 cm, 3 cm, and 7 cm. Add the two sides together and see if the result exceeds the third side to determine whether these sides constitute a triangle.

Here, the sum of two sides 4 cm and 3 cm is calculated as,

A+B = 4+3

=7 cm

This sum is equal to the third side C = 7 cm.

Therefore, [tex]A+B\ngtr C[/tex]. So, the given sides don't form a triangle.

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Why is 21 a prime number?

**Answer:**

We do not consider 21 as a prime number, because it can be written as a product of two smaller natural numbers

**Step-by-step explanation:**

Use a trigonometric ratio to solve for y. Round to two decimal places as necessary!!

HELP, and can someone explain how to get the answer?

Using **Trigonometric identities**, the value of **y = 11.49**.

**Trigonometric identities** are equality conditions in trigonometry that hold for all values of the **variables** that appear and are defined on both sides of the equivalence.

These are identities that, **geometrically** **speaking**, involve certain functions of one or more angles.

They are not to be confused with **triangle** **identities**, which are identities that may involve angles but may also involve side lengths or other lengths of a triangle.

Using** Trigonometric Identities**,

Cos θ = Base / Hypotenuse

Cos 29 = 10 / y

0.87 = 10 / y

y = 10 / 0.87

y = 11.49

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Round the angle measure to the nearest hundredth of a degree

The **measure** of the **angle** is 30.00 degrees

How to find sin⁻¹(0.5)?

**Trigonometry **is the branch of mathematics that deals with the relationships between the sides and angles of triangles, particularly right triangles. It is concerned with the **measurement** of angles and the calculation of sines, cosines, and tangents of those **angles**.

These ratios are known as trigonometric functions and they are used to relate the ratios of the sides of a right triangle to the angles opposite or adjacent to the right angle.

Since sin 30° = 0.5

Thus, sin⁻¹(0.5) = 30.00 degrees

Note: Angle 30° is one of the special angles and trigonometric are very easy recall.

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Moussa practices the piano 840 minutes in 4 weeks. Assuming he practices the same amount every week, how many minutes would he practice in 1 weeks?

**Answer:**

210 minutes a week

**Step-by-step explanation:**

840 minutes/4 weeks

Please helpppp

solve the inequality

**Answer**:

A) [tex]x>-2[/tex]

**Step-by-step explanation**:

[tex]x+4>-x \\ \\ 2x+4>0 \\ \\ 2x>-4 \\ \\ x>-2[/tex]

Anna earns $8 an

hour baby-sitting and $6 an hour working in the garden. Last month, she worked 15 hours baby-sitting and 8 hours in the garden. How much more money does she need to buy a robot which costs $199?

**Answer: $31**

**8(15)+6(8)=168**

**she needs 31 more to reach 199**

What are the 5 rules of factoring?

The five **rules **for **factoring **are taking the difference grouping the numbers, dividing, multiplying, taking the greatest common factor and by taking the LCM.

There are certain times when we encounters such kind of problems which includes the **factoring **of the **components **of the polynomial.

Ine Sach kind of cases there are several methods for factoring the components of the polynomial like taking the greatest common factor or finding the **LCM **of the components in order to make the polynomial more simplified.

Also we can take out the most common digit or the number from the whole polynomial which comes under the category of **grouping**.

Also we can use the method of taking the differences or like taking the division and **multiplication **of certain digit into the polynomials in order to do the factoring.

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You start with $575 in your bank account and deposit $60 each month. Write a linear or exponential equation

**Answer:**

A linear equation can be used to represent the situation where a fixed amount is added to the original balance each month. The equation would have the form:

y = mx + b

where x is the number of months, y is the balance in the bank account, m is the monthly deposit amount, and b is the initial balance. In this case, we have:

y = 60x + 575

This equation can be read as: "The balance in the bank account (y) is equal to 60 dollars (m) added to the account each month (x), plus the initial balance of 575 dollars (b)."

An exponential equation can also be used to represent the situation where the balance in the bank account increases by a fixed percent each month, it would be:

y = a(1+r)^x

Where a is the initial amount, r is the interest rate and x is the number of months.

**Step-by-step explanation:**

Are complex numbers the same as real numbers?

Although every **complex number** is a real number, not all complex numbers are real numbers.

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- To meet your sales quota at work, you need to average $125 per day. So far you have sold $150,

$175, $90, and $155. How much do you need to sell on the last day to meet your quota for this

week?

Hence he need to **sell $55** on the** last day** to meet his quota for this

week.

**What is average ?**

average can be defined as the** ratio** of the** sum** of observations and **total number **of observations.

Given,

To meet your sales quota at work, you need to average **$125 per day. **

So far he sold $150, $175, $90, and $155.

so ,

let last day he need to sell **be x .**

**average = 150+175+90+155+x/ 5**

125 = 570+x / 5

625 = 570 + x

** x = 55 **

Hence he need to** sell $55** on the **last day** to meet your quota for this

week.

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A triangle has angle measures 23° and 35°. What is the measure of the third angle?

**Answer:**

122°

**Step-by-step explanation:**

All triangles have a total of 180°.

Angle 1 will be X

Angle 2 will be Y

Angle 3 will be z

180 - (x + y) = z

Which of the following is a solution of the equation x+ 2y 7?a) x=3 y=5b) x=3 y=-5c) x=3,y=2d) x=0.y=7

(3,2) is the required solution of an equation and This is a **straight line** and has** **infinite number of solutions.

the solution is **explained** as :

y=2

x=7−2(2) =3

Hence, (5,1) is one of the solution of the given equation.

A **straight line** is an infinite length of an line that does not have any curves on it. A straight line in which it can be formed between two given points and also but both the ends extend to infinity. A straight line is formed when two points A (x1, y1) and B (x2, y2) are connected with the shortest **distance** between them and the line that ends are extended to infinity.

In the given representation shown below, a **straight line** between two **points** A and B is shown. A straight line AB is represented by:

←→

A B

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in an alcohol-in-glass thermometer, the alcohol column has length 12.68 cm at 0.0 c and length 22.55 cm at 100.0 c. What is the temperature if the column has length a. 15.10 cm, and b. 22.95 cm.
Use th Fundamental Theorem of Calculus to evaluate H(2), where H'(x)=sin(x)ln(x) and H(1.5)=-4.
For each of the following logic expressions, use a Karnaugh map to find all of the static hazards in the corresponding two-level AND-OR circuit, and design a hazard-free circuit that realizes the same logic function: (a) F=W.X + W'. Y (b) F=W.X'. Y' + XY'.Z+XY (c) F=W.Y+W'. Z'+XY'.Z (d) F=W'. X' + Y'.Z+W'.XYZ+W.XYZ (e) F=W'. Y + X'. Y'+W.XZ (f) F=W'.X+Y'.Z+W.XYZ+W.X'.Y.Z' (g) F=WX'Y' + XY'.Z+XY
A company is evaluating a new 4-year project. The equipment necessary for the project will cost $3,400,000 and can be sold for $705,000 at the end of the project. The asset is in the 5-year MACRS class. The equipment? depreciation percentage each year is 20.00 percent, 32.00 percent, 19.20 percent, 11.52 percent, and 11.52 percent, respectively. The company's tax rate is 35 percent. What is the aftertax salvage value of the Multiple Choice $458,250 $746,118 $705,000 $663,882 $526,794
The point (2, 1) is the turning point of the graph with equation y = x + ax + b,where a and b are integers.Find the values of a and b.Optional working+ab =
mt. pinatubo, a volcano in the philippines, erupted in 1991. the eruption resulted in the cooling of earths surface for two years. what can you deduce from the information given?
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Suppose 40% of PC gamers in the U.S. say they bought Cyberpunk 2077 on Steam. A random sample of 8 PC gamers is selected. What is the probability at most 2 of the 8 say they bought Cyberpunk 2077 on Steam?A. 0.2090B. 0.8936C. 0.3154D. 0.6846
find the particular solution that satisfies the initial condition. (enter your solution as an equation.) differential equation initial condition y(x 5) y' = 0 y(10) = 1
The angle of layers of rock measured from the horizontal is ________ and the measurement perpendicular to the angle of displacement is____________.
A student was given a 10 mL sample of a clear, colorless liquid. She was assigned the task of identifying the unknown liquid and was told that the sample could be methanol (CH_3OH), acetone (C_3H_6O), or ethanol (C_2H_5OH). She decided to attempt to determine the molar mass of the liquid by the vapor density method, which involves completely vaporizing a small sample of the liquid, cooling it and determining the mass of the condensed vapor. She also collects the volume of the container, temperature and pressure when the liquid is vaporized. The following data were collected: Fill in the missing data in the data table. What could account for the difference in the masses in the two trials? Determine the molar masses for each trial, showing all calculations.
A marine biologist monitors the population of sunfish in a small lake. She recorded 800 sunfish at the beginning and 736 sunfish after the first year. Due to a wildfire, she was unable to gather data on year 2, but did record 623 fish during year 3.
kristen wants her sales force to concentrate its efforts on selling the most profitable products and on selling to most profitable accounts. to achieve this target, she can institute profit quotas. T/F ?
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segun los pronosticos meteorolgico nacional (SMN), esta semana, contina incrementando la temperatura. la informacion proporcionada es que hoy la temperatura sera de 20 y luego, cada dia que pase, la temperatura ira incrementandose en 0.25puedes determinar la ecuacion pendiente-ordenada al origen que modela esta situacion?puedes pronosticar la temperatura que se tendra de acuerdo a ese incremento, dentro de 30 dias?a los cuantos dias llegara a los 28?
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