Simplify the expression. (-3+ 4n²) - (5 - 2n²)

Answer:

There would be 312 acres of old tree growth for 0.4% of the forest. There would be 31.2 acres of old tree growth for 0.04%. I wasn't sure if you meant 0.4 or 0.04.

To represent "infinity" or the notion that an interval lacks an ending, we use the symbol.

The endpoints of infinity and negative infinity can be seen in two different ways. One the one hand, we can never get to infinity because it is a concept and not a real quantity.

In this sense, the interval is said to be open because it excludes the endpoints infinity and negative infinity. The infinity symbol is placed on the right side since there is no higher endpoint (all values must be larger than or equal to -3). An interval is closed if its boxed end is on -3. Because there is no endpoint on that side, infinity always has a curved end.

To represent "infinity" or the notion that an interval lacks an ending, we use the symbol. The symbol shouldn't be used with a square bracket because it's not a number. Visit this tutorial on set-builder and interval notation for a more thorough discussion of set notation and interval notation.

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Answer:

Step-by-step explanation:

So first, with the given table you need to "plug-in" the numbers that are there for x and y.

Ok, for example 2 is listed in the "x" row. So plug it 2 for "x":

3x+y=15

3(2)+y=15

6+y=15

-6      -6

y=9

So do this for all of them...the same goes with all of the values...just plug in one, complete the steps then you'll get the answer for the other variable.

Hope this helps!

Answer:if the siblings are less and the child are more u should remove  the percent from the difference and put it to the another one the one from  down there so the difference is 70% so try the same from down  there is 18 so it got to be 20

Answer:20

In the given graph the domain and range of function y=f(x) is

Domain: (-2,2]

Range : [-4, 5)

A function's domain is the set of all possible inputs to the function. This means it can be any number that can be entered into a function. For the majority of functions, this will be any number that can be substituted for the letter x. Except for a few exceptions such as square root functions and rational numbers, your domain will almost always be all real numbers.

The set of all possible outputs of a function is referred to as its range. This is usually represented by the letters y or f(x). The range is any number obtained by substituting any number for x.

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Answer:

Step-by-step explanation:

because 2 + 2 is 4

Using percentages we know that the value of a car decreases by 34% on average.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred.

A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The symbol "%" is frequently written after the number to indicate percentages.

So, we know that:
Annie brought a car at: $32000

Current price of the car: $21000

The decline in car percentage:

21000/32000 * 100

65.625%

⇒ 100 - 65.625 = 34.375%

Rounding off: 34%

Therefore, using percentages we know that the value of a car decreases by 34% on average.

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Complete question:
Annie bought a brand-new car for $32,000. The car is now worth $21,000.

By what percentage does the car's worth decrease?

The amount of square inches of the cake that are covered with icing is 201.06, calculated by using the formula (π * radius2), with π equal to 3.14 and the radius equal to 8 inches.

1. Use the formula (π * radius2), with π equal to 3.14

2. The radius is half of the diameter, divide the diameter (16 inches) by 2

3. Radius = 16 inches / 2 = 8 inches

4. Calculate π * radius2: 3.14 * (8 inches)2 = 201.06 square inches

π * (8 inches)2

= 3.14 * (64 inches2)

= 201.06 square inches

Dominique is decorating a round cake with fruits and has frosted just the top of the cake. To determine the area of the cake that is covered with icing, we can use the formula (π * radius2). Since the cake is round, we can determine the radius of the cake by dividing the diameter of the cake (16 inches) by 2, resulting in the radius being 8 inches. We can then calculate the area of the cake covered with icing by multiplying π by the radius squared. Using the number 3.14 for π, the calculation is 3.14 * (8 inches)2, which equals 201.06 square inches. Therefore, 201.06 square inches of the cake are covered with icing.

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Therefore , the answer to the above problem is 5.75 for the mean and 9 for the median.

Regardless of whether many elements are discrete or continuous, averages can only be calculated for numeric variables. You may find this by dividing the amount of values present in the dataset by its total number of values in the data. It is possible to perform computations using either raw data or data that has been compiled into frequency tables. The average value in mathematics is obtained by adding up all the integers in a data set and dividing the total by the total number of numbers. For example, in the data below

Here,

Spread it all out here first:

4, 5, 6, 7, 7, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10

The mean is calculated by dividing total total by the total number of scores. Add up each number.

There are 16 numbers total, and they add up to 92. 92 / 16 = 5.75

To get the median, identify the middle number among all the other numbers.

Sadly, there is no "center number" given that there are 16.

Add the ninth and eighth numbers together, then divide by to find the middle.

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Answer:

option D is correct

5.7+x=-3.5

x= -3.5-5.7

Answer:

D

Step-by-step explanation:

5.7 + x = - 3.5 ( subtract 5.7 from both sides )

x = - 3.5 - 5.7 ( x = - 9.2 )

Answer:

(0, -54)

Step-by-step explanation:

We find the y-intercept by plugging in 0 for x:

[tex]y=-2(x-3)(x-9)\\y=-2(0-3)(0-9)\\y=-2*-3*-9\\y=6*-9\\y=-54[/tex]

Helen is not correct. The pressure decreases by 23.8% and not less than 20%.

The initial pressure is 70 N / 0.2 m^2 = 350 Pa (Pascals). If the force is increased by 10 N and the area is increased by 10 cm^2, the new pressure is 80 N / 0.3 m^2 = 266.67 Pa

To calculate the percentage change in pressure, we divide the change in pressure by the initial pressure and multiply by 100:

So Helen is not correct. The pressure decreases by 23.8% and not less than 20%.

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According to the solving the team average is g/17 and Chris sold (g/8) - 17  games.

The term "Average" refers to a value that should be used to describe the sample as a whole. The average is determined by dividing the total number of values in a set by the total number of values. also known as the arithmetic mean.

Average A collection of integers are added, their count is divided, and the sum is used to determine the arithmetic mean.

average game sold = g/8

since Chris sold 17 games less than average

hence, Chris sold   games

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Magda said the typical measure of orange juice in a full family-size jug is 1 gal in value.

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.

The collection of mathematical symbols that emerges from the right arrangement of numbers is known as a mathematical expression and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

The three different types of algebraic expressions are monomial, binomial, and polynomial.

The complete question is : In a math question, Magda correctly answered a question that asked for a typical measure of orange juice in a full family-size jug. Which was her answer?

a. 2 cups

b. 1 gal

c. 10 gal

d. 10 fl oz

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Answer:

y=-2/3x+4

Step-by-step explanation:

slope intercept form = y=mx+b

y=-2/3x+4

The probability that 3 or more copies will be demanded in a particular day is 0.64.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probability for 3 or more copies to be demanded is the sum of all the probability distributions for 3 or more copies demanded per day.

This can be written in an equational form -

P(x) = 0.14 + 0.12 + 0.10 + 0.08 + 0.07 + 0.06 + 0.04 +0.03

P(x) = 0.64

Therefore, the probability is 0.64.

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The equivalent ratio that represents Cameron's run is 1 : 8

Equivalent Ration:

In mathematics, the definition of equivalence ratio says: The equality of two ratios is also called a ratio. Front and follow have different values, but reducing them to their simplest form gives the same value.

For example, to find out if 2:3 and 16:24 are equivalent ratios, we need to reduce both ratios to their simplest form. The HCF of 2 and 3 is 1, so 2:3 is already in the simplest form. The HCF for 16 and 24 is 8. Divide these two numbers by 8 to get the reduced form. This means (16÷8):(24÷8) = 2:3. It's clear that 2:3 and 16:24 are the same value, equivalent ratios.

Based on the question :

Cameron ran 3 miles in 24 minutes.

Now,

Therefore we can say that :

Cameron ran 1 miles in 8 minutes;

Therefore, the equivalent ration is 1 : 8.

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To find the endpoint we have to calculate the distance between the known midpoint to the known endpoint. To calculate the midpoint we add two points and divide them by 2.

The formula for midpoint = (x1 + x2)/2, (y1 + y2)/2.

Substituting in the two x-coordinates and two y-coordinates from the endpoints.

Putting it together,

The endpoint formula is:

(x a ,ya)= ((2xm−xb),(2ym−yb))

( x a , y a ) = ( ( 2 x m − x b ) , ( 2 y m − y b ) ).

The end of a line at a point that is equally distant from both ends, a time interval between an event's beginning and end.

The point on a graph or figure where the figure stops might be referred to as the endpoint. It can be the point joining the sides of a polygon (the vertex), the common endpoint of two rays making an angle, the two extreme points of a line segment, the one end of a ray.

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The value of r is 105 in this equation.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

In the quadratic formula, √r =[tex]\sqrt{b^{2}-4ac }[/tex]

Where a = 1, b = -9, and c = -6.

So √r = √(-9)² - 4(1)(-6)

√r = √81 -4(-6)

√r = √81 + 24

√r = √105

Hence, the value of r is 105 in this equation.

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A power of 3 equation is called as cubic equation.

The term equation in math is known as a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Here we need to find the term that has been used for power of 3 equation.

Here we have to know that the power of 3 equation is known as cubic equation.

in other terms the polynomial equation which has a degree of three is called a cubic polynomial equation or trinomial polynomial equation.

As we all know that the power of the variable is the maximum up to 3, therefore, we get three values for a variable, say x.

The general form of the power of 3 equation is written as

=> ax³ + bx² + cx + d = 0

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The factors of the expression x² 4x 3 are (x + 3)(x − 3).

Factor is a number that can be multiplied to produce another number. Factors are used to find the greatest common factor (GCF) and least common multiple (LCM) of two or more numbers. Factors are also used in equations to find solutions and in algebra to solve polynomials. Factors are also important in computing, since they are used to identify prime numbers and prime factorisation.

This is determined by using the factoring technique called factoring by grouping.

First, the expression is written in two groups: x2 and 4x 3. Then, each group must be factored. For the first group, the factors are x and x, since any number multiplied by itself results in the number itself. For the second group, the factors are 4 and 3, since 4 multiplied by 3 equals 12.

Next, the two factors of each group must be multiplied together. The product of x and 4 is 4x, and the product of x and 3 is 3x. The product of 4 and 3 is 12.

Finally, the two groups of factors are combined to form the final expression: (x + 3)(x − 3).

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The flowchart to find the biggest of 3 numbers is mentioned below:

A flowchart is a type of diagram that represents an algorithm, process, or workflow. It is a visual representation of the steps and decisions involved in a problem-solving or decision-making process. Flowcharts use a variety of symbols and shapes to represent different types of steps and decisions, such as inputs, outputs, process steps, and decision points. They are used to communicate the logic of a program or process to different stakeholders, such as developers, managers, and users.

An algorithm is a set of instructions or a step-by-step procedure for solving a problem or completing a task. It is a well-defined sequence of operations or actions that are taken in order to achieve a specific goal or outcome. Algorithms can be expressed using natural language, pseudocode, or programming languages. The steps in an algorithm must be unambiguous and have a clear stopping point.

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You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

When given an area of A and a length of h, its width w is equal to A/h.

Its width is w = P/2h if you have the perimeter P and length h.

If you know the length h and the diagonal d, you can calculate the width using the formula w = (d2h2).

The height, area, diagonal, or perimeter of your rectangle are the two measurements that the width of a rectangle calculator uses to calculate the width of your rectangle. We'll also demonstrate various formulas for calculating the width of a rectangle based on the information at hand. The width of a rectangle can be determined in a variety of ways, depending on the information at hand. 

A=w×h

P=(w+h)×2

d = w 2 +h 2

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The factored quadratic functions with their equivalent standard form are given as follows:

1. e -> x² - 3x - 10 = (x - 5)(x + 2)

2. a -> x² + 7x - 10 = (x + 5)(x + 2).

3. c -> x² - 7x + 10 = (x - 5)(x - 2).

4. d -> x² - 2x - 63 = (x - 9)(x + 7)

5. f -> x² + 2x - 63 = (x + 9)(x - 7).

6. b -> x² + 16x + 63 = (x + 7)(x + 9).

A quadratic function is defined as follows:

y = ax² + bx + c.

A quadratic function can be factored as a function of it's roots x* and x**, as follows:

y = a(x - x*)(x - x**).

For item a, the function is given as follows:

y = x² + 7x + 10.

The coefficients are given as follows:

a = 1, b = 7, c = +10.

The discriminant is of:

D = 7² - 4(1)(10)

D = 49 - 40

D = 9.

Hence the first root is of:

x = (-7 - square root of 9)/2

x = -5.

The second root is of:

x = (-7 + square root of 9)/2

x = -2.

Meaning that the factored expression is given as follows:

y = (x + 5)(x - 2).

Matched with the second expression of column A.

The same procedure is followed for the remaining quadratic functions.

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So, 600 full cup would be able to be filled from the cooler. This can be solved using the concept of volume of cylinder.

The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centers of the circular bases cross each other. The measure of space within a cylinder is measured by its volume. Find it by dividing the base area by the height. V = πr²h is the formula for the volume of a cylinder with base radius "r" and height "h."

Given that,

diameter of cylinder = 30 inch

diameter of cup = 3 inch

height of cylinder = 24 inch

height of cup = 4 inch

Calculate the volume of the cylinder:

Volume = πr²h

putting the values we get:

Volume = (3.14)(30/2)²(24)

Volume = (3.14)(15)²(24)

Volume = (3.14)(225)(24)

Volume = 16959 in³

Calculate the volume of the cup:

Volume = (3.14)(3/2)²(4)

Volume = (3.14)(1.5)²(4)

Volume = (3.14)(2.25)(4)

Result

Volume = 28.26 in³

Divide the volume of the cylinder by the volume of the cup, we get:

Number of full cups =  16959 in³ /  28.26 in³

Number of full cups = 600

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If the population grows by 15 people. The original number of people was 50, hence the new share of each person was Rs. (which is refused).

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

Let no. of persons = x

Each person get

= 6500/x

If there 15 persons were added more

= 6500/(x + 15)

(6500/x) - 6500/(x + 15) = 30

[tex]\Rightarrow 6500\left[\frac{(\mathrm{x}+15)-(\mathrm{x})}{\mathrm{x}(\mathrm{x}+15)}\right]=30[/tex]

[tex]\Rightarrow 6500\left[\frac{x+15-x}{x^2+15 x}\right]=30[/tex]

[tex]& \Rightarrow 1625\left[\frac{15}{x^2+15 x}\right]=3 \\[/tex]

Then,

[tex]& \Rightarrow \frac{24375}{x^2+15 x}=3 \\[/tex]

Simplifying the above equation,

[tex]& \Rightarrow 3 x^2+45 x=24375 \\[/tex]

[tex]& \Rightarrow 3 x^2+45 x-24375=0 \\[/tex]

[tex]& \Rightarrow x^2+15 n-3250=0 \\[/tex]

[tex]& \Rightarrow x^2+(65 n-50 n)-3250=0 \\[/tex]

Then we get,

[tex]& \Rightarrow x^2+65 n-50 n-3250=0 \\[/tex]

[tex]& \Rightarrow x+65)-50(x+65)=0[/tex]

[tex]\Rightarrow(\mathrm{x}-50)(\mathrm{x}+64)=0[/tex]

x = 50, x = -65

Since the number of people cannot be zero,

the number of people is 50.

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The radius of the sphere  1.5  units

The volume of the cone is   pi (3)^2 *4 / 3   units^3  =  12pi  units^3

The volume of the sphere is (4/3)pi (1.5)^3  units^3 = 4.5 units^3

So   ratio  of the volume of the sphere to the cone is :

4.5 pi  / 12 pi  =    4.5 / 12  =      (9/2) / (24/2)  =  9 / 24  =  3 / 8

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