pla hrlp with this question ​

Answer:

a. 31/6; 33/6; 35/6

b. + 2/6

c. 37/6; 39/6; 41/6

d. 49/6

Step-by-step explanation:

First we need to find the first three terms.

To do so solve the equations in the boxes.

When dividing by a fraction you multiply by the reciprocal so the equations are now as follows:

2 * 31/12

3 * 11/6

5 * 7/6

Solve these to get

62/12 = 31/6

33/6

35/6

The term to term rule as shown above is adding 2/6 or 1/3.

To find the next three terms in the sequence add 2/6 to the term.

35/6 + 2/6 = 37/6

37/6 + 2/6 = 39/6

39/6 + 2/6 = 41/6.

To find the 10th term you need to write out the arithmetic sequence equation.

an = a1 + (n-1)d

an is the term you want to find and n is the term number in this case that is 10. D is the common difference which in this case is 2/6. Plug these into the equation. A1 is the first term in the equation which in this case is 31/6.

31/6 + (10-1) 2/6

31/6 + (9)2/6

31/6 + 18/6 = 49/6

The linear equation of the line that goes through points (7,20) and (2,10) is y = 2x + 6.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

A linear equation or function is given as ;

y = mx + b

Now,

At x = 0 ⇒ y = b so it will be a y-intercept.

The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 20)/(2 - 7) = 2

Substitute,(2,10) and m = 2

10 = 2(2) + b

b = 6

Thus, the equation will be y = 2x + 6

Hence "The linear equation of the line that goes through points (7,20) and (2,10) is y = 2x + 6".

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The value of angle RPQ in the circle is 115 degrees.

Using angles of intersecting chord theorem, If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

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Answer: 115 degrees

Step-by-step explanation:∠

RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

the solution is (2,2)

step by step explanation:

y=-1/2x+3 : go up 3 on the y-axis, then go down 1 and the the right 2 and repeat.

y=2x-2 : go down 2 the y-axis, then got up 2 and to the right 1 and repeat.

where ever point the two linear lines intersect in the solution point.

Using the coordinates of the vertices of a polygon (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1) the perimeter of the polygon is 16.0 units

The perimeter is calculated by summing the sides

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

(-3, 1) and (-3, 3) =√{(-3 - -3)² + (3 - 1)²} = 2

(-3, 3) and (-1, 5) = √{(-1 - -3)² + (5 - 3)²} = 2√2

(-1, 5) and (2, 4) = √{(2 - -1)² + (4 - 5)²} = √10

(2, 4) and (2, 1) = √{(2 - 2)² + (1 - 4)²} = 3

(2, 1) and (-3, 1) = √{(-3 - 2)² + (1 - 1)²} = 5

The perimeter = 2 + 2√2 + √10 + 3 + 5

The perimeter = 15.9907

The perimeter = 16.0 units

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Answer:

h = 4.5

Step-by-step explanation:

16.5 + 2.75h = 9h + 7.5 − 4.25h

Combine like terms on the right side.

16.5 + 2.75h = 4.75h + 7.5

Subtract 4.75 h from both sides.

16.5 - 2h = 7.5

Subtract 16.5 from both sides.

-2h = -9

Divide both sides by -2.

h = 4.5

Answer:

h = 1.2

Step-by-step explanation:

1.) Isolate the variable H. To isolate the variable H, you have to move numbers onto one side and variable onto another. I will show this process in the next steps:
2.) First, move the numbers onto one side. You will subtract 7.5 on both sides, ending up with 16.5 - 7.5 + 2.75h = 9h - 4.25h.

3.) Now, move the variable to one side. You will subtract 2.75h on both sides, and get 16.5 - 7.5 = 9h - 4.25h + 2.75h.

4.) Finally, Simplify. 16.5 - 7.5 = 9. 9h - 4.25h + 2.75h = 7.5h. Therefore, 7.5h = 9.
5.) If we divide both sides by 7.5, we get h = 9/7.5, which is 1.2. By this, h = 1.2

For the two sets F = {v | v < 4} and H = {v | v ≥ 7}, F∩H = Ф and

F∪H = {v | v ∈ R} - {4, 5, 6}.

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

Given, Are two sets F = {v | v < 4} and H = {v | v ≥ 7}.

Now, F∩H are those elements of the sets that are common to both here none of the elements are coom so F∩H is Ф.

F∪H are those elements that are either in F or in H or in both.

∴ F∪H = {v | v < 4 or v ≥ 7} Or  F∪H = {v | v ∈ R} - {4, 5, 6}

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No solution is the answer

Answer:

f = -7

Step-by-step explanation:

1 + 8f = -6 + 7f

Add 6 on both sides

7 + 8f = 7f

Subtract 8f on both sides

7 = -1f

Divide by -1 to make f positive

f = -7

Answer:

$19,760 per year

$1,520 per month

Step-by-step explanation:

There are 4 weeks in 1 month, so multiply $380 by 4:

380 x 4 = $1,520 per month.

1 year = 52 weeks:

380 x 52 = $19,760 per year.

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Answer: These rates are not equivalent.

Step-by-step explanation:

2/22 = 1/11

4/40 = 1/10

Hence, 1/11 and 1/10 are not equivalent because they do not have the same denominator.

78383884848484848383838

Answer:

18 liters of 41% alcohol and 12 liters of 11% alcohol.

Step-by-step explanation:

.41x + .11(30-x) = .29(30)  I am going the clear the decimal by multiply all the way through by 100

41x + 11(30 -x ) = 29(30)

41x + 330 -11x = 875  Combine like terms

30x +330 = 875  Subtract 330 from both sides

30x = 540  Dived both sides by 30

x = 18

30 - 18 = 12

Amount        Percent         Total

x                    .41                  .41x

30 - x            .11                  .11(30 - x)

30                  .29                .29(30)

Look at the total column

.41x + .11(30-x) = .29(30)

The cost of sheet metal per square​ foot is $20.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The general equation of a straight line is -

y = mx + c

[m] is called slope and it tells the unit rate of change in [y] with respect to [x].

We have a contractor bought 10.8 ft² of sheet metal. He has used 2.3 ft² so far and has ​$170 worth of sheet metal remaining.

The equation 10.8x − 2.3x = 170 represents how much sheet metal is remaining and the cost of the remaining amount.

We have the following equation -

10.8x − 2.3x = 170

8.5x = 170

x = 170/8.5

x = 20

Therefore, the cost of sheet metal per square​ foot is $20.

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Answer:

False

Step-by-step Explanation:

15:20=5×3 5×4 =3 4=3:4 So it is not equivalent to 4 : 5.

Answer:

this my alt account

Step-by-step explanation:

The maximum number of hours that he can hire the cleaning service is 5.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let us consider the number of hours for which the total cost would be the same be x

The first equation would be

$15x > $75

Now equate these equations

$15x - $75 = 0

15x = 75

x = 5

Hence, the maximum number of hours that he can hire the cleaning service is 5.

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The answer would be (5,0)

Answer:

Step-by-step explanation:

D

15.2 gallons of gasoline will cost:

15.2 * 2.75 =$41.8

9.5 gallons of diesel will cost:

9.5 * 3.02= $28.69.

The total amont Grabiel will spend on gasoline and diesel:

$41.8 +28.69= $70.49

Answer:

8

Step-by-step explanation:

2.75x8=22

or

22.00÷2.75=8

(not sure)

If a,b,c are positive real numbers, the inequality [tex]\frac{(a+b)^{2} }{c} +\frac{c^{2} }a[/tex] [tex]\geq 4b[/tex] is not correct because it gives the value a³+2a²b+ab²≥4abc

How to find the solution set of an inequality?

Inequality is a mathematical statement showing that two quantities are not equal.

The given inequality is [tex]\frac{(a+b)^{2} }{c}[/tex] +[tex]\frac{c^{2} }{a}[/tex][tex]\geq[/tex]4abc

Simplifying the inequality we have [tex]\frac{(a+b)(a+b)}{c}[/tex] +[tex]\frac{c^{2} }{a }[/tex] [tex]\geq[/tex]4b

This implies that: [tex]\frac{a^{2}+ab+ab+b^{2} }{c}[/tex] +[tex]\frac{c^{2} }{a}[/tex] [tex]\geq[/tex] 4b

Taking the LCM,

[tex]\frac{a^{2}+2ab+b^{2} }{c}[/tex] +[tex]\frac{c^{2} }{a}[/tex] [tex]\geq[/tex]4b

Simplifying further

[tex]\frac{a^{3}+2a^{2}b+ab^{2}+c^{3} }{ac}[/tex] [tex]\geq[/tex]4b

The expression gives that: a³+2a²b+ab²≥4abc

Comparing the values of a,b,c on both sides of the inequality,  the inequality is wrong.

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Answer: The numbers are 25 and 68.

Step-by-step explanation:

Answer:

x = 68

y = 25

Step-by-step explanation:

Let the larger number be x and smaller number be y.

x = 18 + 2y ----------------(1)

x + y = 93 -----------------(2)

Put Eq. (1) in Eq. (2)

18 + 2y + y = 93

18 + 3y = 93

Subtract 18 to both sides

3y = 93 - 18

3y = 75

Divide 3 to both sides

y = 72/3

Put y = 24 in Eq. (1)

x = 18 + 2(25)

x = 18 + 50

[tex]\rule[225]{225}{2}[/tex]

Answer:

h(2)=-1

h(2)=-1

Step-by-step explanation:

Use the given functions to set up and simplify

h

(

2

)

Answer:

Step-by-step explanation:

t says that's 4 units distant from the another vertex. So, if a square is formed by 4 equal sides and 4 right angles, then you just have to add 4 units on x or y.

-> (2, 1) -> + 4 units on X

-> = (6, 1)

or

-> (2, 1) -> +4 units on Y

-> = (2, 5)

(2, 5) isn't an answer so the unique possible answer is (6, 1)

Answer: (6, 1)

it is Abe and afe

hope this helps

For the given equation, [tex](x-7)2=36[/tex] the value for [tex]x=25[/tex].

Calculating the value of the unknown variable while keeping the equation balanced on both sides is the process of solving equations.

A condition on a variable is an equation when it ensures that two expressions in the variable have the same value. The equation's solution is the amount of the variable for which the condition is met.

Initially, the equation [tex](x-7)2=36[/tex] must be made simplified to find [tex]x[/tex].

[tex](x-7)2=36[/tex]

By using distributive law,

⇒ [tex](x-7)2=36[/tex]

⇒ [tex]2x-14=36[/tex]

Now add 14 on both sides,

⇒ [tex]2x-14+14 =36+14[/tex]

⇒ [tex]2x =36+14[/tex]

⇒ [tex]2x =50[/tex]

As the next step, divide both sides by 2,

⇒ [tex]\frac{2x }{2} =\frac{50}{2}[/tex]

⇒ [tex]x=25[/tex]

Therefore, after solving the equation step-by-step, [tex]x=25[/tex].

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Answer:

796.2 million

(796,200,000)

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function with base $e$}\\\\$y=ae^{kx}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $e$ is Euler's number. \\ \phantom{ww}$\bullet$ $k$ is some constant.\\\end{minipage}}[/tex]

Given exponential function:

[tex]A=796.2e^{0.006t}[/tex]

where:

The initial value is 796.2, which means the population of the country in 2003 was 796.2 million.

Answer:

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

Given system:

We see constants are same with opposite sign.

To make them same multiply both sides of the second equation by -1:

Now we have two equations with same left sides but different right sides:

This is false and hence the system has no solution.