What is the length of segment GH? Round your answer to the nearest hundredth.
A. 4.70 units
B. 6.24 units
C. 8.54 units
D. 11.00 units

If A alone can do a piece of work in 6 days and B alone in 8 days, then A and B undertook to do it for $3200 and complete the work in 3 days with the help of C, then C would be paid 400 dollars.

Therefore the answer is $400.

This is a work and time problem that can be solved using the concept of rate of work. Let's call the amount to be paid to C as "x".

A can do 1 piece of work in 6 days. Therefore, his rate of work is 1/6.

B can do 1 piece of work in 8 days. Therefore, his rate of work is 1/8.

Amount of work A and B can do in 3 days is

= 3×(1/6) + 3×(1/8)

= 3×(1/6)×(4/4) + 3×(1/8)×(3/3)

= 12/24 + 9/24

= 21/24

= 7/8

So amount of work C doing is

= 1 - 7/8

= 1/8

As C do 1/8 amount of work, the amount C would receive is

= 3200 × (1/8)

= 400

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As x approaches positive infinity, m(x) approaches positive infinity.

As x approaches negative infinity, m(x) approaches negative infinity.

An expression, rule, or law in mathematics that establishes a connection between one variable (the independent variable) and another variable (the dependent variable).

A graph is considered to be a function if any vertical line formed can cross it at most one point. The graph is not a function if it contains any locations where a vertical line can pass through it twice or more.

If a function produces the same outcome regardless of how the input is represented without changing its value, it is said to be well defined.

A function is a rule that is applied to a number, known as an input, in order to produce a result, known as an output.

when [tex]$x^n$[/tex] ( n is odd number and n > 0), a > 0 and c is any constant,

[tex]$$x \rightarrow \infty, a x^n+c \rightarrow+\infty[/tex]

[tex]$x \rightarrow-\infty, a x^n+c \rightarrow-\infty$[/tex]

The complete question is;

The function f(x) = x^3 has been transformed, resulting in function m.

m(x) = 1\3x^3 + 6

As x approaches positive infinity, m(x) approaches___

As x approaches negative infinity, m(x) approaches___

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If the base of the prism has dimensions x and y, and the diagonal along the base is represented by c, then x² + y² = c². The longest diagonal in the solid, s, is the hypotenuse of the triangle formed by the sides c and the height of the solid, z. So we know that, c² + z² = s².

What is a triangle in 3D called?

Triangular Prism (3D shape with identical triangle bases) Cone (3D triangle with a circular base)

In the case of a cylinder, one or several of the following data must be provided: the total area/lateral area and the circumference/area of the base or the area of the base and the volume. Ex: provided the circumference of the base = 10π inches, and the lateral area = 50π inches², the equation can be written as 50π ÷ 10π = 5 inches.

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The perimeter of the polygon is found as the 42 cm.

For the shown polygon:

Points A, B, C and D are tangents on the circle.

Thus, these tangent will subtend equal length from the points.

So,

AB = 3 + 4 = 7 cm

BC = 4 + 5 = 9 cm

As, ∠B ≅ ∠D, sides must also be equal.

CD = 5 + 4 = 9 cm

DA = 4 + 3 = 7 cm

Perimeter = AB + BC + BC + BC

                 = 7 + 9 + 9 + 7

Perimeter = 42 cm

Thus, the perimeter of the polygon is found as the 42 cm.

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A function's range is the collection of all possible values that it can accept, and its domain is the set of all values for which the function is defined.

A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x. The following requirements are frequently verified when a function's output y-value is required to be a real number:

1. The numerator cannot be zero.

2. Even roots (square roots, etc.) radicands (expressions denoted by a radical symbol) cannot have a negative value.

3. Only positive values can be used in logarithms.

4. Physical or other real-world constraints may be placed on word problems, such as the fact that time is not negative or that the number of items is an integer.

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Answer:

The exponential form of 0 is 0.

In simple words, the exponents can said to be the powers of the base. For example, in 2³, the exponent will be 3. If a number is given without any power then its power is 0. The exponential form is simply the number with exponents.

A quadratic equation is a second-degree equation, meaning it contains at least one squared term.

A quadratic polynomial in a single variable is x ax2+bx+c=0, which is a quadratic equation. a 0. The fact that this polynomial is of second order guarantees that it has at least one solution according to the Fundamental Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least one word in it has to be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the numerical coefficients or constants a, b, and c.

given

2x2-7x = 0.

As we already know, a quadratic equation is a second-degree equation, meaning it contains at least one squared term.

Regarding comparing the quadratic equation in standard form with the equation 2x27x=0

ax ²+bx+c=0:

We get a=2, b=7, and c=0.

The equation 2x27x=0 is therefore a quadratic equation.

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In Class 8, equality is likely to be defined as a state of being where all individuals are treated fairly and have the same rights, opportunities, and access to resources, regardless of factors such as race, gender, socioeconomic status, and other characteristics. Equality is often contrasted with inequality, which is a state of being where individuals or groups have unequal access to resources and opportunities.

In class 8, students may learn about different types of equality, such as:

Political equality: This refers to the idea that all individuals have an equal say in the political process and equal representation in government.

Social equality: This refers to the idea that all individuals have the same rights and opportunities, and are treated with the same respect and dignity, regardless of their background or characteristics.

Economic equality: This refers to the idea that all individuals have access to the same economic opportunities and resources, regardless of their background or characteristics.

Educational equality: This refers to the idea that all individuals have access to quality education, regardless of their background or characteristics.

Equality of opportunity: This refers to the idea that all individuals have an equal chance to succeed and reach their full potential, regardless of their background or characteristics.

In class 8, students may also learn about the importance of equality and the ways in which inequality can negatively impact individuals and society. They may also learn about different strategies for promoting equality and reducing inequality in society.

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The simplified form of the  (StartFraction 1 Over 4 a b EndFraction) Superscript negative 2 expression is Negative StartFraction 1 Over 16 a squared b squared EndFraction. Option A

Index forms of a number can simply described as can be defined as that number written as an exponential expression.

They are also referred to standard form and scientific notation.

These index forms could also be written as single numbers raised to an exponent.

From the information given, we have that;

1//4 ab superscript negative 2

This is represented as;

(1/4 ab)⁻²

Now, expand the  bracket, we have;

(16 a⁻²b⁻²)

This is further simplified to

1/16 a²b²

Hence, the expression is 1/16 a²b²

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For the rate of change of 4 the two points will be A(2,8) and B(4,16).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the rate of change of the linear function is 4. The coordinates of the two points will be calculated as,

Rate of change = ( y₂ - y₁ ) / ( x₂ - x₁ )

Rate of change = ( 16 - 8 ) / ( 4 - 2 ) = 8 / 2 = 4

Compare the coordinates,

( x₁, y₁ ) = ( 2, 8 )

( x₂, y₂ ) = ( 4, 16 )

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Answer:

9x+5

Step-by-step explanation:

Add x and 8x

Any values of x will result in a real value of the quadratic equation f(x), which is written as f(x). Your minimum score is therefore (3,1).

A function's acceptable range of values is referred to as its domain. These numbers serve as representations of the x-values of a function like f. (x). The set of potential values that a function can be applied to is known as its domain. When the x value is inserted, the method returns the value that is contained in this set. A function's definition is Y = f, where x is the independent variable and y is the dependent variable (x). If it is possible to successfully use a value of x to generate a single value of y using the value of x, that value of x .

given

Let y = f(x) be a function where x and y are the independent and dependent variables.

then that selected x-value is said to belong to the domain of f.

Any values of x will result in a real value of the quadratic equation f(x), which is written as f(x). Your minimum score is therefore (3,1).

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It is simple to locate the rest. Simply divide the number by another number with its multiples to obtain the remaining.

Always less than the divisor is the remainder. It indicates that the division is not complete if the remainder exceeds the divisor. It might either be higher or lower than the quotient. For instance, the remaining is six when the number seven is divided by 41, leaving five as the quotient.

It's simple to locate the rest of them. To obtain the remainder, we simply divide the number by a different integer that is one of its multiples.

the surplus after division (happens when the first number does not divide exactly by the other). Example: Dividing 19 exactly by 5 is not possible. The closest you can go to 19 without going over is 3 x 5, which is 15 and 4 less. 4 remains as a result.

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It is called the substitution method because we substitute the value of one variable with another one and solve the equation.

By changing the value of another variable in an equation, the variable can be eliminated using this method. Thus, the elimination by substitution method is the name given to this technique.

As we are aware, the substitution approach entails solving the equation to determine the value of the variable, which is then substituted in the other equation. The elimination approach, in contrast, involves removing variables from the equation such that the equation's system can be reduced to being the function of a single variable.

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Answer:

no although they were close

Step-by-step explanation:

There are seven images are formed If two plane mirrors are positioned at an angle of 45°.

The formula for the number of images formed by two plane mirrors placed at a certain angle is

⇒360/n

where n=angle between the mirrors

The most important thing to remember is that every time the number of images formed is only ODD numbers, if the result is even then you need to subtract 1 from that.

if it is odd u need not subtract, since the number of images ever formed is only odd.

so for an angle, of 45° the number of images formed are:

⇒360/45=8

in this case, since the images formed are even u need to subtract 1 from it i.e

8–1=7

So, the number of images formed is 7.

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16 is a scale factor of 3 4

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Answer:

An equivalent expression with the least number of terms will have 1 term if all 5 original terms are like terms. This is because like terms can be combined using the distributive property and addition, resulting in a single term with a combined coefficient.

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation: No point has the same x-axis

Answer:

y = (-5/2)x + 8

slope = -2.5

b = 8

x-intercept = 3.2

y-intercept = 8

Step-by-step explanation:

Three types of triangles according to scalene, isosceles and equilateral triangle.

What is meant by scalene?

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Answer:

below

Step-by-step explanation:

Isosceles triangle have TWO equal legs....so

Leg      + leg        + base = perimeter

(4x-4)   +  ( 4x-4)   + x  = 37

9x -8 = 37

9x = 45

x = 5

Expression and polynomial are both mathematical terms that are used to represent mathematical equations.

An expression is any combination of symbols, numbers, and operations that represent a value or a quantity. Expressions can be represented as algebraic equations, numerical equations, or verbal phrases. A polynomial is a specific type of expression that is composed of one or more terms with each term containing a power of a single variable. A polynomial can be represented with a single variable or multiple variables.

A formula is an expression or equation that represents an idea or a relationship between two or more variables. A calculation is the actual process of evaluating an expression or equation to determine a numerical value or answer.

In summary, an expression is any combination of symbols, numbers, and operations that represent a value or quantity, while a polynomial is a specific type of expression composed of one or more terms with each term containing a power of a single variable. A formula is an expression or equation that represents an idea or relationship between two or more variables, while a calculation is the actual process of evaluating an expression or equation to determine a numerical value or answer.

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The degree of the polynomial 3x² 5x¹ 7 is 2.

This can be calculated by examining the highest exponent of the variable in the polynomial. Since the highest exponent is 2, the degree of the polynomial is 2.

Formula: Degree = Highest Exponent of the Variable

To calculate the degree of the polynomial 3x² 5x¹ 7, we first need to examine the highest exponent of the variable. The highest exponent is 2, therefore, the degree of the polynomial is 2.

3x² = 3x2 = 3x2 = Degree = 2

5x¹ = 5x1 = 5x1 = Degree = 1

7 = 7 = 7 = Degree = 0

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The height of the tree is 17.32 feet.

Height is the measurement of a person's or object's vertical distance from the ground. It is usually expressed in units of meters or feet. Height is an important factor in determining physical characteristics, such as BMI, or Body Mass Index. Height can also be used to estimate the age of a person, and to measure the effects of a growth-promoting treatment. Height is also used in many sports, as it is often an advantage for athletes.

Using the tangent formula, the height of the tree is approximately 17.32 feet. To calculate this, take the tangent of 70 degrees (which is 1.19175) and multiply it by the 10 feet of distance.

The result is 11.9175 feet, which when rounded to the nearest hundredth is 17.32 feet.

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Answer:

right 2 up 8 units

Step-by-step explanation:

the (x-2) is basically the opposite of what u think so it goes right

and +8 is normal so its up 8

The six different types of graphs are frequency distribution graphs, exponential graphs, logarithmic graphs, trigonometric graphs, and statistical graphs (such as bar, pie, and line graphs).

A vertical and horizontal line connect at the origin to form a simple two-dimensional graph. The x axis is horizontal, whereas the y axis is vertical. The x and y axes in basic line graphs are each subdivided into uniformly spaced subdivisions and given integer values.

There are eight primary types of graphs: linear, power, quadratic, polynomial, and they all aid in organising the presentation of data or information.

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