Question 5 PLEASEEE

Question 5 PLEASEEE

Answers

Answer 1

Answer:

C) f(x) = 2x - 3

Step-by-step explanation:

When you multiply the x value by 2 and divide it by three, you get the number that is in the right column.


Related Questions

Our goal is to make add-on sales during 85% of sales if you make 35 sales how many add-on sales do you need to make to meet the goal?

Answers

Answer:

85% = 29.75 or 30 add-on sales (rounded)

Step-by-step explanation:

Answer:

85% = 29.8or 30 add-on sales (rounded)

Solve the inequality for x:
2 (2x - 3) < 4x - 6

Answers

Answer:

see below

Step-by-step explanation:

2 (2x - 3) < 4x - 6

distribute

4x - 6 < 4x - 6

add 6

4x < 4x

divide by 4

x<x

maybe i did this wrong but this is what i got.

The following steps show how the equation for the average rate can be transformed so that it is written in terms of only the rates for each leg of the trip. Write an algebraic justification for each step. Think about the number of operations and properties that you know. PLEASE HELP ASAP!! I DONT UNDERSTAND. WILL GIVE 100PTS

Answers

Algebraic justification for each step

step       Justification

1             given

2     addition of fraction using least common multiple

3.    division by fraction and inverting of the fraction

4.    distribution property of multiplication

How to get the steps

The first step is the given equation

[tex]\frac{2d}{\frac{d}{r_{1} } +\frac{d}{r_{2}} }[/tex]

The second step is finding the least common factor used for addition of fraction

[tex]\frac{2d}{\frac{r_{2}d}{r_{1} } +\frac{r_{1}d}{r_{2}} } = \frac{2d}{\frac{r_{2}d +r_{1}d}{r_{1}r_{2} } }[/tex]

The third step is division operation and in this steps fractions has the property of inverting and the division turns to multiplication.

[tex]\frac{2d}{\frac{r_{2}d +r_{1}d}{r_{1}r_{2} }}=\frac{2d}{1}\frac{r_{1}r_{2}}{{r_{1}d +r_{2}d}{ }}=\frac{2dr_{1}r_{2}}{{r_{1}d +r_{2}d}{ }}[/tex]

The fourth step is using distributive property of multiplication and striking out common factors

[tex]\frac{2dr_{1}r_{2}}{{r_{1}d +r_{2}d}{ }}=\frac{2dr_{1}r_{2}}{{d(r_{1} +r_{2})}{ }}=\frac{2r_{1}r_{2}}{{(r_{1} +r_{2})}{ }}[/tex]

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Slope-Intercept Form - Item 35340 y = Complete the slope-intercept form of the linear equation that represents the relationship in the table.​

Answers

The provided statement states that the equation's slope intercept form is y = -2x + 1.

Describe slope with an example.

A line's slope is the measure to the amount y increases when x increases by a specific amount. The a line's slope describes its steepness or the rate at which y climbs as x rises. The slope is consistent wherever along the line (the same).

The following is a representation of the slope intersect form equation:

y = mx + b

where

m = slope

b = y-intercept

Consequently, using the known locations,

(3, -5)(-2, 5)

m = 5 - (-5) / -2 - 3 = 10 / - 5 = -2

Consequently, let's use b to find (3, -5)

y  = -2x + b

-5 = -2(3) + b

-5 = -6 + b

b = -5 + 6

b = 1

y = -2x + 1

The following is how we can employ the equation to work out whether x = 1 and x = 2:

x = 1

y = -2(1) + 1 = -1

x = 2

y = -2(2) + 1 = -3

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The complete question is-

Complete the slope-intercept form of the linear equation that represents the relationship in the table.

Chareese reflects figure RSUT over the y-axis and then rotates the reflected figure 180degree about the origin, resulting in figure A. She states that R S U T is congruent to Z Y W X. Which best describes the accuracy of her congruency statement?
On a coordinate plane, figure A with points Z Y W X has points (1, 2), (4, 1), (3, 4), (0, 4). Figure R S U T has points (1, negative 2), (4, negative 1), (3, negative 4), (0, negative 4).
Accurate. A reflection will change the direction the vertices trace around the figure. A rotation preserves the change.
Accurate. A reflection preserves the direction the vertices trace around the figure. A rotation changes that direction.
Inaccurate. The correct congruency statement is R S U T is congruent to Z X W Y.
Inaccurate. The correct congruency statement is R S U T is congruent to X W Y X.

Answers

A statement which best describes the accuracy of her congruency statement include the following: B: Accurate. A reflection preserves the direction the vertices trace around the figure. A rotation changes that direction.

What is a reflection?

In Geometry, a reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

Generally speaking, reflections and dilations are types of transformation that preserve angle measure. Additionally, reflection can be used to preserve the direction the vertices (coordinates) that are traced around a geometric figure.

On the other hand (conversely), rotation is a type of transformation that changes the direction of a geometric figure. Therefore, rotating this reflected figure 180 degree about the origin (0, 0) would change the direction of its points.

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Answer:

B

Step-by-step explanation:

Lesson 6: Strategic Solving
Cool Down: Think Before You Step
1. Without solving, identify whether this equation has a solution that is positive,
negative, or zero:
3x - 5 = -3,
2. Solve the equation.
x - 5(x - 1) = x - (2x - 3)

Answers

1) The solution of the equation will be positive.

2) The solution of the expression is,

⇒ x = 2/3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

1) The expression is,

⇒ 3x - 5 = - 3

2) The equation is,

⇒ x - 5 (x - 1) = x - (2x - 3)

Now,

For the equation (i);

⇒ 3x - 5 = - 3

Clearly, LHS side of the equation is greater than RHS of the equation.

So, The solution of the expression is positive.

For the equation (ii);

⇒ x - 5 (x - 1) = x - (2x - 3)

Solve for x as;

⇒ x - 5x + 5 = x - 2x + 3

⇒ - 4x + 5 = - x + 3

⇒ 5 - 3 = 4x - x

⇒ 2 = 3x

⇒ x = 2/3

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If Serena invests the $2,500 in the CD that yields 4% interest, what will the CD be worth after 2 years?

Answers

Answer:2,922

Step-by-step explanation: get the 730.5 which is the amount of days in two years and the 4% interest and multiply it together. So it will be 730.5x4=2,922

two-thousand-nine-hundred-twenty-two

Joe thinks of a positive number, n. He squares n, then adds it to -24. The answer is 25. Work out n.​

Answers

Answer:

Step-by-step explanation:

help me

The positive number that Joe thought of is n = 7.

Joe thinks of a positive number, n.

He squares n so it becomes n².

He adds it to -24 so the expression is n² - 24.

The result is 25:

n² - 24 = 25.

To find the value of n, we can solve the equation:

n² - 24 = 25.

Adding 24 to both sides:

n²= 49.

Taking the square root of both sides:

n = √49.

n = 7.

Therefore, the positive number that Joe thought of is n = 7.

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Enter the next three numbers of the repeating decimal produced by the fraction 5/6.
0.833333...

Answers

The next three numbers of the repeating decimal produced by the fraction 5/6 is 0.833333333...

What is recurring and non recurring digits?

After a decimal point, recurring decimal numbers are ones that consistently repeat the same value. They are also known as Repeating Decimals. Non-recurring numbers in mathematics are those whose values don't repeat themselves after a decimal point. Non-terminating decimals and non-Repeating Decimal Numbers are other names for them.

When 5 is divided by 6 we get a recurring number.

Hence, the next three numbers of the repeating decimal produced by the fraction 5/6 is 0.833333333...

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Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Answers

The true statements about the quadratic function f(x) = x² – 5x + 12 are

The graph of the function is a parabolaThe graph of the function opens down.

What are quadratic equations?

A second-order polynomial equation with a single variable, x, is known as a quadratic equation.

The graph of a quadratic equation traces a parabolic path

For the given function, f(x) = x² – 5x + 12 the coefficient of x² is positive hence the curve opens down

The graphs is attached and it does not contain the points (20, –8). and (0, 0)

Substituting  f(–10) = x² – 5x + 12

= (-10)² – 5(-10) + 12

= 100 + 50 + 12

= 162

hence not equal to 82

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please help witg question 1a and 1b​

Answers

Answer:

Step-by-step explanation:

is this college if it is i can answer it.

can someone help me in this question please and thank you!

Answers

Two angles and a side of a triangle are equal in these two triangles thus these triangles are congruent.

What is the right-angle triangle?

Angles in a right triangle are easily calculated. A right triangle has a right angle, often known as a 90 angle. The angle sum formula, which asserts that the sum of the angles in a triangle is always equal to 180 degrees, can be used to quickly determine the missing angle given one other angle of the triangle is known.

Given, two triangles in the figure. Where we can see that one side of that triangle is the same that is 4. and one angle is 90 degrees in both triangles and one angle is the same as shown in the figure.

Thus we can say that one side and two angles of the given triangle are equal.

Since Triangles are said to be congruent if two of one triangle's angles and one of its sides are equal to those of another triangle. This indicates that we are given a triangle's two given angles as well as one side that is not the side next to the two supplied angles. Such a triangle can be resolved by utilizing the Law of Sines to determine each of the other two sides and the Angles of a Triangle to determine the other angle.

Therefore, These two triangles are congruent because they have two equal angles and one equal side.

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Aidan and Tiana were shown the following diagram.
They were asked to solve for the measure of ∠A in degrees.

Aidan says the first step is to set 2x+7 equal to 5x-2
Tiana says the first step is to set 2x+7 plus 5x-2 equal to 180

1. Choose either Aidan's or Tiana's statement and explain why it is correct or incorrect. If the statement is correct, explain how you know it's correct. If the statement is incorrect, explain why it's wrong.
2. If you were to solve this problem, which steps would you take? Include any theorems, definitions, or reasons that explain the steps. Make sure you include all steps needed to solve for m

Answers

Step-by-step explanation:

Tiana is right.

Angle D = angle E = 90°

their sum is 360°

2×90° + (5x-2)° + (2x+7)° = 360°

(5x-2)° + (2x+7)° = 180°

The tangents drawn from a point to the circle are equal, therefore the angle formed by the radius and that tangent is 90°

Look at the sequence below.

3, 6, 12, 24, ...

Which of the following would not be a term of this sequence?

Answers

Answer:

Step-by-step explanation:

3+3 = 6

6 + 3= 9

9+3= 12

is the right way to solve this question it is supposed to be a sequence.

Please help me i really dont understand what to do

Answers

The solution of the two simultaneous equations given in the graph is; (-6, -3)

How to find the solution to simultaneous equation graph?

We are given the simultaneous equations as;

y = ³/₂x + 6   ------(1)

y = -¹/₂ - 6    -----(2)

Now, the solution of this 2 simultaneous equations would be the coordinate of the point on the graph where the two graphs meet each other.

Let us first solve the equations by elimination method;

Subtract eq 2 from eq 1 to get;

0 = 2x + 12

Subtract 12 from both sides to get;

2x = -12

x = -12/2

x = -6

Put -6 for x in eq 1 to get;

y = ³/₂(-6) + 6

y = -3

The solution is (-6, -3)

Looking at the intersection point on the graph, we can tell that the point is (-6, -3)

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9 + 10 + 9 - 23 x 30 - 5 =
after divide it by 2 then subtract by 3 and that will be the answer i want.
Ty for answering it and have a great day

Answers

The solution to the arithmetic operations by using the PEMDAS method is -336.5

The process of solving arithmetic operations.

There are various phases to solving arithmetic operations, whether they are simple calculations using only fundamental operations like addition and subtraction or more difficult issues requiring the use of several operations and the application of more sophisticated mathematical ideas.

Using the PEMDAS approach to solving the given arithmetic operations, we have:

= 9 + 10 + 9 - 23 × 30 - 5

= 9 + 10 + 9 - 690 - 5

= 28 - 695

=  - 667

In addition to that, we are to divide the above answer by 2, then subtract 3 from the answer;

i.e.

= - 667/2 - 3

= -333.5 - 3

= -336.5

Therefore, the solution to the arithmetic operations by using the PEMDAS method is -336.5.

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Anthony built a scaled model of a sailboat. The model has a height of 10 in. Anthony used a scale of 2 inches by 3 feet, what is the height of the actual sailboat?

Answers

Answer: 15 feet.

Step-by-step explanation:

To find the height of the actual sailboat, we need to determine the ratio of the scale used to build the model. In this case, the ratio is 2 inches : 3 feet, which can be simplified to 1 inch : 1.5 feet.

We can then use this ratio to convert the height of the model, which is 10 inches, to the corresponding height of the actual sailboat. To do this, we multiply the height of the model by the conversion factor, which is 1.5 feet/inch:

10 inches * 1.5 feet/inch = 15 feet

The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume.
Write an equation that relates y, the amount of yellow paint in liters, and b, the amount of blue paint in liters, needed to make the Green Goober's special green paint.

Answers

We can see that an equation that relates y, the amount of yellow paint in liters, and b, the amount of blue paint in liters, needed to make the Green Goober's special green paint will be: 3 + 5 = 8 or y + b = g (Green Goober's special green paint).

What is an equation?

An equation is actually known to be a mathematical statement that asserts the equality of two expressions. The expressions on either side of the equals sign ( = ) represent the same value or mathematical object.

Equations can be used to describe a wide range of mathematical relationships and can be written using a variety of mathematical symbols and notation.

We see that the equation given above is the correct that relates the yellow paint to the blue paint.

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To what extent might feeling powerful make a person less considerate of the perspective of others? In one study (Galinsky et al., 2006), participants were involved in tasks that resulted in their feeling either powerful (High Power) or powerless (Low Power). They were then asked to write an "E" on their forehead with a washable marker. Those who wrote the "E" to be correctly readable from their own perspective—looking from inside the head—were considered ego-centric (Ego). Those who wrote it to be readable to others were considered to be non-egocentric (Non-Ego). Table 13.8 shows data from the original study in the left panel and from an unpublished replication by Lester and Laurent in the right panel.
a. Can drawing conclusions about causation from these studies be justified? Why or why not?
b. In the original study, to what extent did High Power predict Ego responses? Find the difference in proportions and the CI, then interpret the outcome.
c. In the replications study, to what extent did High Power predict Ego responses? Find the difference in proportions and the CI, then interpret the outcome.
d. Synthesize the two studies by calculating the overall proportion of Ego responding for the High and Low Power groups and the difference and CI. Then interpret the outcome.
e. The replication data presented here were collected by Lester and Laurent in 2008 at the University of Oregon. Because they considered the results to be negative, they did not seek to publish their finding, although Lester posted a manuscript describing the research to his personal blog: Nathen's Miraculous Escape. Meanwhile, the original finding has been cited 590 times and is mentioned in a popular introductory-psychology textbook (Myers & DeWall, 2015). How does this case relate to the Open-Science principle of "getting the whole story"?

Answers

This order illustrates the importance of the Open-Science principle of "getting the whole story" by encouraging researchers to publish all their findings, even if the results are negative. By not publishing their findings, Lester and Laurent’s data was unavailable for replication and has not contributed to the ongoing conversation about the effects of power on considerate behavior.

a. Drawing conclusions about causation from these studies cannot be justified since they are correlational studies, not experiments.

b. In the original study, the proportion of Ego responses for the High Power group was .68 and for the Low Power group was .32. The difference in proportions is .36 and the 95% CI is [.26, .46]. This suggests that High Power is significantly associated with an increased likelihood of ego-centric responses.

c. In the replication study, the proportion of Ego responses for the High Power group was .54 and for the Low Power group was .48. The difference in proportions is .06 and the 95% CI is [-.12, .23]. This suggests that High Power is not significantly associated with an increased likelihood of ego-centric responses.

d. The overall proportion of Ego responding for the High Power group was .61 and for the Low Power group was .40. The difference in proportions is .21 and the 95% CI is [.11, .31]. This suggests that High Power is significantly associated with an increased likelihood of ego-centric responses.

e. This case illustrates the importance of the Open-Science principle of "getting the whole story" by encouraging researchers to publish all their findings, even if the results are negative. By not publishing their findings, Lester and Laurent’s data was unavailable for replication and has not contributed to the ongoing conversation about the effects of power on considerate behavior.

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the foloowing data gives the number pf childern in 50 families.s construct a discrete frequency tabe

Answers

In the given following data gives the number of children in 50 families.

The discrete frequency table is

As number of children  is 0  the frequency is 6

As number of children  is 1  the frequency is 13

As number of children  is 2  the frequency is 14

As number of children  is 3  the frequency is 7

As number of children  is 4  the frequency is 6

As number of children  is 5  the frequency is 2

As number of children  is 6  the frequency is 2

What is frequency ?

frequency states that the number of times the certain value got repeated is called as frequency.

No. of children      Frequency

0                               6

1                                13

2                               14

3                                7

4                                6

5                                2

6                                2

Hence , it is the required discrete frequency table.

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1. A pie chart shows how a man spends his weekly salary of $1500. % is spent on food, 3/10 on utilities, and the balance on rent, how much money did he spend in rent?​

Answers

The amount spends on rent is $750.

What is a pie chart?

In order to show mathematical issues, the "pie chart," often referred to as a "circle chart," divides the circular statistical visual into sectors or portions. A proportionate amount of the entire is indicated by each sector. The Pie-chart is now the most effective method for determining the composition of something. Pie charts typically take the role of other graphs, such as bar graphs, line plots, histograms, etc.

Given a pie chart shows,

spent on food = 20% of salary = 1/5 of salary

spent on utilities = 3/10 of salary

and rest on rent let be x

salary  = $1500

so 1500 = spent on food + spent on utilities + spent on rent

1/5 of 1500 + 3/10 of 1500 + x = 1500

1/5 of 1500 = $300

3/10 of 1500 = $450

300 + 450 + x = 1500

x = $750

Hence the amount spent on rent is $750.

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The missing term in question is 20% spent on food.

Hola necesito ayuda por favor .

Answers

Answer:

B) 25%

Step-by-step explanation:

Hay un sitio llamado Calculador de descuentos que es de donde obtuve mi respuesta.

(There is a site called Discount Calculator which is where I got my answer from.)

B is going to be the answer

what type of function is f(x)=2x^3-4x^2+5?

Answers

The type of function which f(x)=2x^3-4x^2+5 is the cubic function.

What is a cubic function?

A cubic function is a function in mathematics where the variables x can take on real values and the coefficients a, b, c, and d are complex numbers. In other words, it is a real function as well as a polynomial function of degree three.

F(x) = x³ denotes the "basic" cubic function. It is depicted in the graph below. The greatest power over the x variable(s) in a cubic function is 3. The graph can be made "wider" or "skinnier" by the coefficient "a," or it can be reflected (if the value is negative): The graph's y-intercept serves as the constant "d" in the equation.

A cubic function equation is of the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants (or real numbers) and a ≠ 0.

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How many significant figures are in the following number: 57,030 joules?

2
3
4
5

Answers

Answer:

There are 5 significant figures in the number 57,030 joules.

Step-by-step explanation:

In general, significant figures are all the digits in a number that are used to express precision, including all digits except:

Leading zeros (zeros that come before the first non-zero digit).

Trailing zeros (zeros that come after the last non-zero digit but before the decimal point).

Trailing zeros that are after a decimal point, if the decimal point is not at the end of the number.

In the number 57,030, all of the digits are used to express precision, so all of the digits are significant figures. The zeros between the 5 and the 7, and between the 3 and the 0, are not leading zeros or trailing zeros, so they are also significant figures. The zero after the 3 is a trailing zero, but it is after a decimal point (even though the decimal point is not written), so it is not a significant figure.

Therefore, there are 5 significant figures in the number 57,030 joules.

Hope This Helps

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Answer: 4 Sig Figs

Step-by-step explanation: Ending zeros are not counted toward sig figs

i need help on question 20. ill give brainliest

Answers

The translation is done to the right 5 units and up two units.

What is Translation?

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Given that vertices of ΔABC are A(2, 1), B(4, 4) and C(4, 1).

And vertices of ΔDEF are D(7, 3), E(9, 6) and F(9, 3).

Translation towards left or right changes the x coordinate and translation towards up or down changes the y coordinate.

Translation toward right and up results in positive translation and towards left and down results in negative translation.

A(2, 1) becomes D(7, 3) when D(2 + 5, 1 + 2).

Similarly,

B(4, 4) becomes E(9, 6) when E(4 + 5, 4 + 2)

C(4, 1) becomes F(9, 3) when F(4 + 5, 1 + 2)

So the translation is 5 units right and 2 units up.

Hence the translation is 5 units right and 2 units up.

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Hey there everyone please some, help come on

Answers

The entry to record the sale of the season tickets would be:

Date                  Account title                                      Debit              Credit

XX-XX          Cash                                             $ 1, 118, 000

                      Unearned ticket revenue                                    $1, 118, 000

The revenue recognized when the first home game is played is:

Date                  Account title                                      Debit              Credit

XX - XX          Unearned ticket revenue                 $86, 000

                        Ticket revenue                                                       $ 86, 000

How to record the sale ?

The sale would be recorded as a debit to cash for the amount of :

= 5, 200 tickets x 215 per ticket

= $ 1, 118, 000

The Unearned ticket revenue account will be credited as the revenue has not been earned as no games have been played.

When the first home game is played, then the revenue for one game is recognized :

= 1, 118, 000 / 13 games

= $ 86, 000

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Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 160°. Find m∠Y. The value of m∠Y is

Answers

The measure of angle Y for the given condition is 50°

What are complementary angles?

Complementary angles are those whose combined angle is 90 degrees or less. To put it another way, two angles are said to be complimentary if they combine to make a right angle. In this case, we say that the two angles work well together.

Given  ∠S and ∠Y are complementary,

∠S + ∠Y = 90°

and given expression

∠S = 4∠Y - 160

and ∠S = 90 - ∠Y

90 - ∠Y = 4∠Y - 160

4∠Y + ∠Y = 90 + 160

5∠Y = 250

∠Y = 250/5

∠Y = 50°

Hence the value of ∠Y is 50°.

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Review the problem below. Determine when the Associative, Commutative , and Additive Inverse properties are used.

Original problem (5.2 - 4) -4 + 6.2
Step One (5.2 - 4) +(-4) + 6.2
Step Two 1.2 + (-4) + 6.2
Step Three 1.2 + 6.2 + (-4)
Step Four (1.2 + 6.2) + (-4)
Step Five 7.4 + (-4) = 3.4

Answers

Step one follows commutative property and step four follows associative property.

What is additive inverse?

The additive inverse of a number is its opposite number. If a number is added to its additive inverse, the sum of both the numbers becomes zero. The simple rule is to change the positive number to a negative number and vice versa.

The given expression is (5.2-4)-4+6.2

Step 1: (5.2-4)+(-4)+6.2 (Commutative property)

Step 2: 1.2+(-4)+6.2 (Additive Inverse)

Step 3: 1.2+6.2+(-4)

Step 4: (1.2+6.2)+(-4) (Associative property)

Step 5: 7.4+(-4)

7.4-4=3.4

Therefore, step four follows associative property.

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Find the number of terms of an arithmetic series with a first term of 18, a
last term of 118, and a sum of 816.

Answers

The sum of an arithmetic series with an 18-term first term, a 118-term last term, and an 816-term final term is 3 terms.

what is arithmetic series ?

An easy formula for calculating the sum is provided below: Formula One If an arithmetic series with terms has a sum Sn, then. In addition to the number of terms, this formula needs to know the first and end term values. An arithmetic sequence's terms are added together to form an arithmetic series. A geometric sequence's terms are added together to form a geometric series.

given

the sum of series =Sn=n(a1 + an)2

sum = 816 , an = 118  ,a = 18

816 = n ( 18 + 118 ) * 2

816 / 2 = 136n

408 = 136n

n = 3

so ,the sum of an arithmetic series with an 18-term first term, a 118-term last term, and an 816-term final term is 3 terms.

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Rewrite 1/12x^3y+7/12xy^2 using a common factor

Answers

The expression 1/12 x³ y + 7/12 x y² can be written as 1/12xy(x² + 7y) using common factor.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

1/12 x³ y + 7/12 x y²

The common term in the expression is,

1/12xy

To simplify the expression,

take common to 1/12xy from the expression,

1/12xy(x² + 7y)

The required expression is 1/12xy(x² + 7y).

Hence, option (C) is correct.

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