(pg 4) An equation is like a scale. To keep it balanced, you must do the ???
to both sides.

Answer: a) 190cm³

              b) 76cm³

(refer to the image to see all the steps and workings I did related to these diagrams)

If the spinner is fair, it means that the probability of the arrow stopping on any given color is the same. Given that there are four colors on the spinner (green, blue, purple, and yellow), we can expect the arrow to stop on green 1/4 of the time. So if the spinner is spun 300 times, we would expect the arrow to stop on green 300 times * 1/4 = 75 times.

Given that the spinner has been spun once more, the table now shows that the spinner has been spun 301 times. We can estimate the probability of it landing on purple by using the number of times it has landed on purple divided by the total number of spins.

Purple: 48/301 = 0.159 or 15.9%

If the spinner is spun another 1000 times, we can expect it to land on blue 1000 * 1/4 = 250 times approximately, this is assuming the spinner is fair.

Hope it helps. To know the values of all trigonometric ratios, see the table.

If you have any query, feel free to ask.

The equation y = (x + 1)² + 3 tells that it is quadratic equation and the equation y = 2x + 4 tells that it is a linear equation.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The first equation is - y = (x + 1)² + 3

The second equation is - y = 2x + 4

The first equation is a quadratic equation.

To solve the first equation use the formula (a + b)² = (a² + 2ab + b²) -

y = (x + 1)² + 3

y = (x² + 2x + 1) + 3

y = x² + 2x + 4

The second equation is a linear equation y = 2x + 4.

On graphing both the equations it is seen that the first equation forms a parabola while the second forms a straight line.

Therefore, first equation is quadratic and second is linear.

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The correct equation to write 2 more than 3 times is 3x + 2.

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

Let us assume that, the number is 17 .

So,

→ Three time of x = 3 * x = 3x

then,

→ 2 more than three time of x = (3x + 2)

given that, 2 more than three time of x is equal to 17 .

therefore,

→ 3x + 2 = 17

→ 3x = 17 - 2

→ 3x = 15

→ x = 5 (Ans.)

Hence, the required number is 5 .

Verification :-

→ 2 more than three times of 5 = 17

→ 3 * 5 + 2 = 17

→ 15 + 2 = 17

→ 17 = 17 .

hence, the correct equation to write 2 more than 3 times is 3x + 2.

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The number of plates to make the ratio 1 : 1 is 12 and the number of comedy movies is 24

A ratio is a way of comparing two or more quantities, typically by expressing them as a fraction. The numerator of the fraction represents one quantity and the denominator represents the other. The ratio can be written in different forms, such as "a to b" or "a:b", which expresses the relationship of a to b.

In this problem, using the ratio 2:3;

Number of glasses and plates = 60

Number of plates = 2 / (2 +3) * 60

number of plates = 2 / 5 * 60

number of plates = 24

Number of glasses = 3 / 5 * 60

Number of glasses = 36

The number of plates to make the ratio 1:1 = 36 - 24 = 12

The number of plates = 12

2.

The ratio of fantasy movie to drama movie = 3 : 2

The ratio of drama to comedy = 4 : 3

The number of fantasy = 24

We will set a ratio between fantasy to drama to comedy = 3 : 2 : 2

The total number of movies ;

24 = 2/ 7 * x

24 * 7 = 2x

2x = 168

x = 168 / 2

x = 84

The number of comedy movie is;

y = 2 / 7 * 84

y = 24

The number of comedy is 24

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Answer:

  x=0

Step-by-step explanation:

You want the value of x that cannot be in the domains of either f(x) = 2/x or g(x) = (x+1)/x.

The domain of a function is the set of input values for which the function is defined.

These functions f(x) and g(x) are "undefined" when x=0, because that would cause division by zero.

  x cannot be zero

In class 7, a solution is typically defined as a type of mixture where one or more substances are evenly dispersed in another substance.

The substance that is being dispersed is called the solute, and the substance that it is being dispersed in is called the solvent. Solutions can be liquids, gases, or even solids, and they can be formed by dissolving a solute in a solvent.

In class 7, students learn about different types of solutions, such as:

Liquid solutions: These are solutions where the solvent is a liquid, such as sugar dissolved in water to make a sweet drink.

Gas solutions: These are solutions where the solvent is a gas, such as air, and the solute is a gas or a solid, such as the dissolved oxygen in the air we breathe.

Solid solutions: These are solutions where the solvent is a solid, such as a metal alloy, and the solute is a metal or a non-metal.

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John syrup contains 11.1 grams of sugar

Stefanie has 18 grams of 20% syrup
John has 30 grams of 25%

Therefore the number of grams of sugar in John's syrup can be calculated as follows

18× 20/100 + 30 × 25/100

= 18×0.2 + 30×0.25

= 3.6 + 7.5

= 11.1

Hence there are 11.1 grams of sugar in John's syrup

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Following are the different equations, for which the value of equals 13.

There are numerous mathematical formulae that could all equal 13. The following phrases all equal 13.

9+ 4 = 13

15-2 = 13

1 × 13 = 13

Let's think about some intriguing expressions right now.

x³ - x² + x + 7

The equation will equal 13 if the value of x is 2.

A word puzzle states that Shiya has 10 balls and Riya has 3 more than Tom. How many balls does Ria possess?

Let x represent the quantity of Balls Shiya owns.

Shiya has 10 Balls, thus x is equal to 10, and Ry has x+3 Balls.

As a result, Riya has = x + 3 = 10 + 3 = 13 Balls.

Therefore, Riya has 13 Balls total.

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Answer:

Step-by-step explanation:

Per ASCE 7, the Mean Roof Height (h) is defined as the average of the roof eave height and the height to the highest point on the roof surface, except that, for roof angles of less than or equal to 10°, the mean roof height is permitted to be taken as the roof eave height

i hope it helps

Answer:

Step-by-step explanation:

2^-4=0.0625

we can divide by any number to to make an equivalent expression. (Note it is more easier when it is not a repeating decimal.)

we can do 0.0625/2= 0.03125 with this answer we can make an equivalent expression

1(0.03125+0.03125)=0.0625

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{2^{-4}}[/tex]

[tex]\mathsf{= \dfrac{1}{4 \times 4 \times 4 \times 4}}[/tex]

[tex]\mathsf{= \dfrac{1}{2^4}}[/tex]

[tex]\mathsf{= \dfrac{1}{2 \times 2 \times 2 \times 2}}[/tex]

[tex]\mathsf{= \dfrac{1}{4 \times 4}}[/tex]

[tex]\mathsf{= \dfrac{1}{16}}[/tex]

[tex]\huge\text{Therefore, your answer could possibly be: }[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{16}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer: 7/6 or 1 1/6

Step-by-step explanation:

1/2+2/3= 7/6 or 1 1/6

2x2 and 3x2 which is 4/6 (multiply with 2)

1x3 and 2x3 which is 3/6 (multiply with 3)

4/6+3/6= 7/6 or 1 1/6

The number of solutions to an equation x₁ + x₂ + x₃ = 11 are 55

Consider given equation x₁ + x₂ + x₃ = 11,

wherex₁, x₂, and x₃ are non-negative integers.

We can oberve that x₁ is the number of ones before the first zero, x₂ the number of ones between the first and the second zero, x₃ is the number of ones after the second zero.

So, we can say that there is a one to one correspondence between the solutions and reorderings of 11 ones and 2 zeros.

So, the number of solutions to given equation would be,

n = ¹¹C₂

Using combination formula [tex]^nC_r=\frac{n!}{r!\times(n-r)!}[/tex],

¹¹C₂ = 11! / (2! × (11 - 2)!)                  

¹¹C₂ = 55

So, n = 55

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The complete question is:

How many solutions does equation x₁ + x₂ + x₃ = 11 have where x₁, x₂, and x₃  are non negative integers?.

Coupon 1 will provide more discount and hence he will use coupon 1.

Percent discount is a way to express a reduction in price as a percentage of the original price. It is commonly used in sales and promotions. For example, a 20% discount on a $100 item would reduce the price to $80.

In order to check which coupon provides more discount to the Margaret we need to check for both coupon value and the coupon whose value is greater that one we will use

coupon 1 is 15 percent of initial cost.

Coupon 1 value = (15/100) * 275

=> $0.15*275

=> $41.25

Coupon 2 value = $20

so Coupon 1 will provide more discount .

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The statement B. "The diagonals are perpendicular and one pair of adjacent sides are congruent." is not sufficient to prove that a parallelogram is a square.

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. It has opposite angles equal in measure. The diagonals of a parallelogram bisect each other.

A square is a type of rectangle and a type of parallelogram. It is a four-sided polygon with all sides of equal length and all angles right angles. The opposite sides of a square are parallel and congruent, and opposite angles are congruent as well. The diagonals of a square are congruent and bisect each other. Additionally, the diagonals of a square are also perpendicular to each other.

Note that a rhombus also has congruent adjacent sides and perpendicular diagonals, but it's not a square.

Therefore, if the diagonals are perpendicular and one pair of adjacent sides are congruent, the parallelogram is not necessarily a square.

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The value of the equation is A = 5.44

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 49 ÷ 9   be equation (1)

On simplifying the equation , we get

A = 5.44

Therefore , the value of A is 5.44

Hence , the equation is A = 5.44

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Answer:

Step-by-step explanation: Hello! (Don't read this if you are taking a test, please!)

You know that the taxi will already charge $3.50.  Write that down.  You know that Jamar is riding for 7 miles.  You know that each mile costs $2.  Multiply the cost of a single mile by the amount of miles, 7.  Then you will get your answer.  I hope I helped you out!

The Greek letter Sigma (Σ) is a mathematical symbol used to represent the sum of a series. It is also used to denote standard deviation and other statistical terms, and is the eighteenth letter of the Greek alphabet.

The symbol is written as a capital letter Σ, and is used to indicate the summation of a set of numbers, with a subscript indicating the range. For example, Σ1-10 would indicate the sum of numbers from one to ten.

Sigma can also be used to represent a group of numbers' standard deviation. To do this, the sigma symbol is written with a subscript indicating the range, and the square root of the variance of the set is calculated.

In summary, the sigma symbol is used to represent the sum of a series, as well as to denote standard deviation and other statistical terms. It is written as the capital letter Σ, and is usually followed by a subscript to indicate the range of the summation or standard deviation.

Complete answer:

What is the name of Σ?

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Multiplying both sides by 7 undoes the division of x by 7 in the original problem. Therefore, option A is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is x/7 -4=-6

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Multiplying both sides of equation by 7, we get

x-28=-42

Add both sides of equation by 28, we get

x=-42+28

x=-42

Therefore, option A is the correct answer.

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Answer:

b. To express p(x) as a product of linear factors using long division, we divide p(x) by (x - 2) and get a quotient of (x + 5) and a remainder of 0. This means that p(x) = (x - 2)(x + 5)

e. To solve p(x) = 0, we set each factor equal to zero and find the solutions:

x - 2 = 0, x = 2

x + 5 = 0, x = -5

Thus, the solutions to the equation p(x) = 0 are x = 2 and x = -5.

a. To show that x-2 is a factor of p(x), we can use synthetic division or polynomial long division.

let's use polynomial long division to divide p(x) by (x-2)

p(x) = x²+x²-10x+8

| x-2 |

x²-2x+x

| -x²-x²+10x+8

--------------

0

As we can see, after dividing p(x) by (x-2) we get remainder as 0, which implies that (x-2) is a factor of p(x)

Hence, we can say that x-2 is a factor of p(x)

Answer:

The decrease in dollars is $1634

Deandre has $5966 in his bank account at the end of the year

Step-by-step explanation:

7600 times 0.215 = 1634

7600 - 1634 = 5966

The process of multiplying a number or expression by itself a certain number of times, known as its exponent.

1) 3a + 6 = 5a

3a + 6 - 5a = 0

-2a = 0

a = 0

2) 5c - 4c = c

5c - 4c - c = 0

c = 0

3) 8x8 - 4x - 3 = 16% - 7

8x8 - 4x - 3 - 16% + 7 = 0

64x - 3 - 16% = 0

64x - 3 - 16/100 = 0

64x - 0.16 = 0

64x = 0.16

x = 0.0025

Exponents are a way to represent repeated multiplication of a number by itself. To solve an equation with an exponent, we must simplify the expression by breaking down the exponent into its component parts, and then simplify the equation by solving for the variable. We can then solve for the exponent by substituting the value of the variable into the equation. For example, if we had an equation of 3a + 6 = 5a, we would first subtract 5a from both sides to get -2a = 0. We can then substitute that value into the equation to get a = 0. Exponents can be a useful tool to quickly solve equations, but can also be tricky to solve if you don't know the basics of algebra.

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For the scatter plots shown;

a) Non linear

b) Linear positive

c) Non linear

d) Linear negative

We know that the scatter plot is used to show the relationship between variables. The variable that is plotted on the vertical axis is the dependent variable while the variable that is plotted on the horizontal is the independent variable.

The points that we have on the scatter plot can help us to be able to know whether or not the relationship between the variables is linear.

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The product of fractions is a fraction or an integer.

We know that the fraction is used to represent the portion or part of the whole thing.

The fraction has two parts: numerator and denominator.

The top part of fraction is numerator and the bottom part is denominator.

consider a fraction 1/8.

Here, numerator is 1, denominator is 8

When certain thing is divided into 8 equal parts then each part of is represented by fraction1/8

The multiplication of fractions is defined as the product of a fraction with a fraction or the product of a fraction with an integer or the product of a fraction with the variables.

The steps to multiply two fraction are:

First multiply the numerator with numerator

Then Multiply the denominator with the denominator

And lastly simplify the fractions, if required

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The domain of a function is the set of all input values (or independent variables) for which the function is defined, and for which the output values (or dependent variables) are real numbers. In other words, it's the set of all the values that can be plugged into the function without resulting in an error.

The number 7 is not a function, it's a constant value. Therefore, it doesn't have a domain, as it doesn't take any input value. A domain is only applicable for a function, which takes some input and produces an output. It does not make sense to speak of the domain of a constant number.

In contrast, if you have a function like f(x) = 7, the domain of this function would be the set of all real numbers since the function will produce the output of 7 for any real value of x.

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The discrete probability distribution is discussed above.

Given is discrete probability distribution.

        [tex]${\displaystyle P(X\in E)=\sum _{\omega \in A}p(\omega )\delta _{\omega }(E)} =[/tex]        

       [tex]${\displaystyle P(X\in E)=\int _{E}f(x)\,dx=\sum _{\omega \in A}p(\omega )\int _{E}\delta (x-\omega )=\sum _{\omega \in A\cap E}p(\omega )}[/tex]

Therefore, the discrete probability distribution is discussed above.

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The base of 2 is a binary number. This means it is comprised of only 0's and 1's.

A binary number is a number represented in the base-2 numeral system or binary numeral system, a method of a mathematical term which uses only two symbols: typically "0" (zero) and "1" (one).

A binary number system is one of the types of the number system. In computer applications, where only two symbols or digits represent binary numbers, i.e. 0 (zero) and 1(one). The binary numbers here are represented in the base-2 numeral system. For example, (101)₂ is a binary number. Each digit in this system is stated to be a bit.

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Step-by-step explanation:

laisha bike farthest in 1 hour

It is a horizontal line which crosses the y axis at -4

The y-intercept is the point at which the graph crosses the y-axis. The most important step in graphing any function with the formula y = f(x) is finding the intercepts. The x-intercept and the y-intercept are the two possible forms of an intercept for a function. The point on the axis where a function's graph intersects it is known as the intercept.

In this equation, y=-4 which means y-intercept is -4 (i.e., c= -4) and the slope of the line is 0.

Thus, it will be a horizontal line cutting the y-axis at -4

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