15 POINTS HELP MEEEEEE!!!!!!

The area of the shaded region in the figure in terms of pi is

The shaded portion is a portion of a squared which has two semi circles of diameter equal to the side of the square.

The area of the two semi circle will be subtracted from the area of the square to give the area of the shaded region

Area of a square is solved by the formula

= length *  width

=  9 * 9 = 81 m²

Area of the two semi circle

= 0.5πr² * 2

= πr²

and r  = 9/2 = 4.5

= 20.25π m²

area of shaded portion

= 81 - 20.25π m²

The area of the shaded region in terms of pi is (81 - 20.25π) m²

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In the figure, mGE = 97 and mHF = 43. Since GPEQ is a parallelogram, opposite angles are congruent. Therefore, m<GPE = m<EQG = mGE = 97.

m<GPEQ = 97

Answer:

The answer would be 6

Step-by-step explanation:

first multiply 10*15=150 then 10+15=25 150 divided by 150 is 6

Using the Addition Method to Solve Two-Variable Equation Systems The addition approach, often known as the elimination method, is a third strategy for resolving linear equation systems.

What is meant by the elimination method?

The elimination approach involves removing one of the variables from the system of linear equations by adding or subtracting, as well as multiplying or dividing the variable coefficients.

What is the process of elimination's formula?

Utilizing the addition property of equality, the elimination approach is used to solve systems of linear equations. Both sides of an equation can be increased by the same amount.

                           The first equation can be solved by adding x + y to the left side and 8 to the right side if your system is x - 6 = 6 and x + y = 8.

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Hey there!

Answer:

After solving for x, our final solution is [tex]x=8[/tex].

__________________________________

1. Expand [tex]4(2x-13)[/tex].

[tex]8x-52[/tex]

[tex]8x-52=4+x[/tex]

2. Move 52 to the right side.

[tex]8x=x+56[/tex]

3. Move x to the left side.

[tex]7x=56[/tex]

4. Divide both sides by 7.

[tex]\frac{7x}{7} =\frac{56}{7}[/tex]

5. Simplify.

[tex]x=8[/tex]

________________________________________

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Step-by-step explanation:

5. .....................................................

Each drink costs $5.48, and each candy costs $2.67.

simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given, Noah went into a movie theater and bought 9 drinks and 4 candies‹ costing a total of $6o.

Let "d" be the price of a drink, and "c" be the price of a candy.

So,

9d + 4c = 60

Also given, Nachelle went into the same movie theater and bought 10 drinks and one candy, costing a total of $57.50

So,

10d + c = 57.50

c = 57.50 - 10d

From equation 1

9d + 4(57.50 -10d) = 60

9d + 230 -40d = 60

31d = 170

d = 170/31

d= 5.48

After substituting this value in equation 2

c = 57.50 - 54.83

c = 2.67

Therefore, The price of each drink is 5.48$, and candy cost $2.67.

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The solution is Option B.

The equation of line is given by y = ( -3/4 )x + 4 , where the rate of change is the slope m = ( -3/4 ) and the initial value is 4

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

A line is graphed that passes through the y-intercept at 4 and through the point P ( 4 , 1 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

y = mx + 4   be equation (1)

when y = 1 , x = 4

1 = 4m + 4

Subtracting 4 on both sides of the equation , we get

4m = -3

Divide by 4 on both sides of the equation , we get

m = -3/4

So , the slope of the line is m = -3/4

Therefore , the equation of line is y = ( -3/4 )x + 4

Now , the initial value of the equation is when x = 0

So ,

y = ( -3/4 ) ( 0 ) + 4

y = 4

So , the initial value of f ( 0 ) = y = 4

Hence , the equation of line is y = ( -3/4 )x + 4

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a) The values of x for which trinomial x² −11x + 31 equal to 1 are (11 ± 3i)/2.

b) The values of x for which the polynomials x² − 5x− 3 and 2x − 5 are equal are (7 ± √41)/2.

c) The values of x for which the binomial 7x+1 equal to the trinomial 3x² - 2x + 1 are

x = 0, 1/3.

d) The values of x for which the trinomial −2x² + 5x + 6 equal to the binomial 4x² + 5x are ± √3.

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves arithmetic options and non-negative integer exponentiation of variables.

Now, see the problem, we have to determine the value of x in each case.

a) The trinomial x² - 11x + 31 equal to 1

=> x² - 11x + 31 = 1

Using the quadratic formula,

=> x = ( -(-11)± √121 - 124)/2

=> x = ( 11 ± √-3 )/2 = (11 ± 3i)/2

So, required value of x is (11 ± 3i)/2.

b) The values of the polynomials x² − 5x− 3 and 2x − 5 equal.

=> x² − 5x− 3 = 2x − 5

=>x²− 5x− 3 - 2x + 5 = 0

=> x² - 7x + 2 = 0

=> x = (-(-7) ± √49 - 8)/2

=> x = (7 ± √41)/2

c) The binomial 7x+1 equal to the trinomial 3x² - 2x + 1

=> 7x + 1 = 3x² - 2x + 1

=> 3x² - 2x + 1 - 7x - 1 = 0

=> 3x² - 9x = 0

=> x( 3x - 9 ) = 0

=> x = 0, 1/3

d) The trinomial −2x² + 5x + 6 equal to the binomial 4x² + 5x.

=> 2x² + 5x + 6 = 4x² + 5x

=> 2x² + 5x + 6 - 4x² - 5x = 0

=> - 2x² + 6 = 0

=> 2x² -6 = 0

=> x² = 6/2 = 3

=> x = ± √3

Hence, the required values of x are ±√3.

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Answer: One solution

Step-by-step explanation: We start with 6d+8=14+3d. We can move 3d to the other side of the equal sign and 8 to the other side of the equal which then we will have 6d-3d=14-8. When we simplify we get 3d=6 which is d=2. Which means it is one solution.

Answer: Only one solution

Step-by-step explanation:

6d + 8 = 14 + 3d

-3d from both sides

3d + 8 = 14

3d = 6

d = 2

the percent of cash the Fire branch raised is 5.833 and the pre-sale rate of the TV is $300.

A price or ratio that can be said as a fragment of one hundred is called a percent in mathematics. If we want to compute a percent of a number, we need to divide it with the aid of using its complete after which multiply it with the aid of using one hundred. The percentage consequently refers to an issue in keeping with a hundred. Per one hundred is what the time period percentage signifies. The letter "%" stands for it.

Given,  The fire department hopes to raise $30,000 to repair a firehouse. So far the department has raised $1,750.00

From the general formula of Percentage, we have to divide the value by the total value and then multiply the resultant by 100.

Percentage = (1750/30,000) * 100 = 5.833%

Also given, A TV is advertised for sale. It is 35% off and has a new price of $195.

Price of TV before Sale = (195 / 65) * 100

Price of TV before Sale = 300$

Therefore, the percentage of money the Fire department raised is 5.833 and the pre-sale price of the TV is $300.

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Answer:

3/35 or 0.0857

Answer:

3/35

Step-by-step explanation:

Multiplying fractions

1/7 x 3/5

Multiply the numerators.

1*3 = 3

Multiply the denominators.

7*5 = 35

Put the numerator over the denominator.

3/35

The characteristics of an absolute function are listed below:

       Example: | -2 | = 2

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Yes, a parabola is always a function, specifically a quadratic function.

To determine if a parabola is a function, you will need to check if it passes the vertical line test.

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Answer:

Step-by-step explanation:180+59 then half the anwser

Answer:

x = 12

Step-by-step explanation:

Definition of a point between two points:

Point B is between points A and C if and only if AB + BC = AC.

Now we apply it to this problem.

AB = 3x + 5

BC = 2x + 3

AC = 68

AB + BC = AC

Substitute each segment length with the expression or length above. Then, solve the equation for x.

3x + 5 + 2x + 3 = 68

5x + 8 = 68

5x = 60

x = 12

The angle of 'x' is 87°  

The opposing angles created by the junction of two lines are known as vertical angles or vertically opposite angles. A pair of angles that are vertically opposed to one another is always equal.

Here we have

Two lines are intersected at the point and forms four angles      

As we can see that given angles are vertically opposite angles  

=> x = 82°    

Therefore,

The angle of 'x' is 87°  

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The perimeter of the quarter circle is 6.28ft

The perimeter of a circle is called as the circumference of the circle. The circumference is the external body of a circle.

The perimeter of a circle = 2πr

where r is the radius of the circle.

The perimeter of a quarter circle will be 1/4 ×2πr

= 1/2πr

the radius of a quarter circle is still thesame as the radius of a complete circle.

Therefore the perimeter of the quarter circle = 1/2πr

= 1/2 ×3.14 × 4

= 6.28ft

Therefore the radius of the perimeter of the quarter circle is 6.28ft

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Answer:

A bond is a debt security, meaning that it represents a loan made by an investor to a borrower (typically a corporation or government). The bond issuer promises to pay interest to the bondholder, usually at regular intervals, and to repay the principal when the bond matures.

So, a statement that could describe the returns from a bond is:

"Bonds typically provide a steady stream of income in the form of interest payments, but the return on investment is generally lower than that of stocks."

Another statement that could describe the returns from a bond is:

"Bonds are considered to be a relatively safe investment option, but they are not as profitable as stocks in terms of returns."

In general, bonds are considered to be less risky than stocks, but they also typically offer lower returns.

Answer: B

Step-by-step explanation:

Therefore , the solution is  l=3 w + 8 is the formula to solve for the dimensions of a rectangle.

In Euclidean plane geometry, a rectangle is a square with four right angles. You may also refer to it as a quadrilateral that seems to be equiangular, meaning that each of its angles is equal. Another possibility for the parallelogram is a straight angle. Four of the sides of a square are of identical length. Four 90 ° vertices and equal equal sides make up a rectangle-shaped quadrilateral.

Here,

Given that the rectangle's perimeter is 104 cm

W = the rectangle's width

rectangle's length is equal to 3 w + 8.

Rectangle perimeter equals 2 (length + width).

= >104 =2(3 w + 8 + w)

= >104 =2(4 w + 8)

= >104 =8 w + 16

= >8 w = 104- 16

= >8w = 88

= >w = 11

hence the rectangle's length is equal to 3 w plus 8.

= >3 * 11 + 8

=> 33 + 8

=> 41

Consequently, l=3 w + 8 is the formula to solve for the dimensions of a rectangle.

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Answer:

81

Step-by-step explanation:

n = 92 - 11

Therefore,

n = 81

A principle in logic specifying what expressions may be substituted for one another.

What is a mathematical expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. This mathematical operation may be addition, subtraction, multiplication, or division.

                        Term is defined as a constant, a single variable, or a combination of a variable and a constant combined with multiplication or division. Algebra Expression Example: 3x + 9, 5x + 10

What are an equation and an expression?

In mathematics, an expression is a word or phrase that combines variables, operators, and numbers to represent the value of something. Two expressions are assigned equal to one another in a mathematical statement known as an equation.

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Answer:

Step-by-step explanation:

3/10 you find the GCF of both

An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2

Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.

These expressions are also known to consist of arithmetic operators, which includes;

From the information given, we have to subtract five from an expression to isolate the variable

Now, let's us the algebraic expression;

-9x + 5 = x + 2

Let's subtract 5 from both sides of the equation, we get;

-9x + 5 - 5 = x + 2 - 5

add and subtract the like terms

-9x + x = -3

-8x = -3

x = 3/8

Hence, the expression is -9x + 5 = x + 2

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The probability that a given class period runs between 50.5 and 51 minutes is 0.05

Understanding that a uniform probability distribution is essentially a rectangle with a surface area of one will help you to find the simplest solution to this problem.

Find a section of this rectangle's area now.

Her classes are uniformly distributed between 48.0 and 58.0 minutes so,

We have to find the probability that a given class period runs between 50.5 and 51 minutes

51−50.5-/58-48

=0.5/10

=0.05

1 X0.05=0.05

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The full question:

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 58.0 minutes. Find the probability that a given class period runs between 50.5 and 51 minutes.

The difference of the rational expressions 5/2-3/5 is 19/10.

Any function that can be expressed mathematically as a rational fraction—an algebraic fraction in which both the numerator and the denominator are polynomials—is referred to as a rational function. The polynomials' coefficients don't have to be rational numbers; they can be found in any field K.

A fraction with polynomials as the numerator, denominator, or both is all that a rational expression is. Any equation with at least one rational expression is said to be rational. If the numerator and denominator of a rational expression do not have any common factors, then the expression is said to be simplified.

Given the expressions is 5/2-3/5

⇒ 25 - 6 / 10

⇒ 19/10

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The range of K in a quadratic equation is the set of all possible values that K can take on in order for the equation to remain valid.

A quadratic equation is an algebraic equation that contains a second-degree polynomial with one or more unknown variables. It can be written in the form of ax2 + bx + c = 0, where a, b, and c are just numbers, and x is the unknown variable. The solutions to the equation can be found using the quadratic formula. Quadratic equations are used to model a variety of different problems in mathematics, physics, and engineering.

To find the range of K, we must first understand the quadratic equation. A quadratic equation is an equation in which a variable (K) is raised to the second power and is equal to some other constant. The most common form of a quadratic equation is:

K2 = C

Where K is a variable, and C is a constant. The range of K in a quadratic equation can be found by forming two equations – one equation with K2 = C, and the other equation with K2 = -C.

The first equation (K2 = C) will tell us the maximum value that K can take on. To find this value, we take the square root of C and assign that value to K. The maximum value of K is the square root of C.

The second equation (K2 = -C) will tell us the minimum value that K can take on. To find this value, we take the square root of -C and assign that value to K. The minimum value of K is the negative square root of C.

Therefore, the range of K in a quadratic equation can be found by calculating the square root of C and the negative square root of C. The range of K is the set of all possible values that K can take on in order for the equation to remain valid, which is between the maximum and minimum values found.
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Interest is compounded is 4.63%

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When the graphs are parallel, a system of linear equations cannot have a solution. endless options. When the graphs are on the exact same line, a system of linear equations has an infinite number of solutions.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

What makes an equation linear?

When a linear equation is graphed, it always produces a straight line since each term in the equation has an exponent of 1. This is the basis for the term "linear equation" being used to describe it.

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Answer:

$31,031

Step-by-step explanation:

Since 7 people each pay $4,433 which means that you would have to do 7 x 4433 which equals 31031. So the answer is $31,031.