Write the recursive rule of the sequence -9, -3, 3, 9,....
________________________________________

Use the value for the variable to solve for the other unknowns.  Substitute the value for the variable into the expression for the number of seats on the middle level.  Substitute the value for the variable into the expression for the number of seats on the lower level.

Use the value for the variable to solve for the other unknowns.  Substitute the value for the variable into the expression for the number of seats on the middle level.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Use the value for the variable to solve for the other unknowns.  Substitute the value for the variable into the expression for the number of seats on the middle level.  Substitute the value for the variable into the expression for the number of seats on the lower level.

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A. hope this helps. Mark as Brainliest.

Given

Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.

Total interest paid was $475

Find out  he invest in each.

To proof

Let us assume that Paul invested  in an account paying 4% be = x

As given in the question

Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.

Let us assume that Paul invested  in an account paying 5% be = 3x

Total interest paid = $475

First convert 4% in the decimal form

[tex]=\frac{4}{100}[/tex]

= 0.04

First convert 5% in the decimal form

[tex]=\frac{5}{100}[/tex]

= 0.05

Than the equation become in the form

0.04x + 0.05 × 3x = 475

0.04x + 0.15x = 475

0.19x = 475

x = $2500

Paul invested  in an account paying 4% be = $2500

Paul invested  in an account paying 5% be = $7500

Hence proved

Final answer:

The margin of error for the poll, given a range of 33-37%, is ±2%. This means the actual percentage of the town's population that visits the library at least once a year could reasonably be expected to fall within 2% of the poll's reported value, which is 35%.

Explanation:

The margin of error in a poll is a statistic that reflects the degree of accuracy of the poll's results. It indicates how much the actual percentage could differ from the reported percentage in either direction. In this case, the poll indicates a visitation range between 33% and 37%. To calculate the margin of error, you find the difference between the highest value and the mean or the difference between the mean and the lowest value of the range.

In this instance, (37% + 33%) / 2 = 35%, which is the mean. The margin of error is then calculated as either 37% - 35% or 35% - 33%, both resulting in a 2%. Therefore, the poll's margin of error is ±2%.

Answer:

3 × ( p + 4m ) + 8 and 3p + 4 × ( 3m + 2 ) are the equivalent expressions.

Step-by-step explanation:

Given: Expression = 3p + 12m + 8

To find:  Equivalent Expression.

Equivalent Expression means the expression which repesent original expression .i.e., on simplifying we get back original expression.

Consider,

3p + 12m + 8

Ist Equivalent expression we get by taking 3 common from first two terms,

⇒ 3 × ( p + 4m ) + 8

Another Equivalent Expression we get by taking 4 common from last two terms.

⇒ 3p + 4 × ( 3m + 2 )

The equivalent expression of 3p+12m+8 are 3(p+4)+8 and 3p+4(3m+2).

Expression in mathematics consist of terms separated by operations like + and -.

Given expression is 3p+12m+8,

To find the equivalent expression of the given expression:

3p+12m+8

Taking 3 common from first and second term as follows:

3(p+4)+8

one more possible equivalent expression of the given expression:

Taking 3 common from first and second term as follows:

3p+4(3m+2)

Thus, 3(p+4)+8 and 3p+4(3m+2) are  the equivalent expression of 3p+12m+8.

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Answer:

Always

Step-by-step explanation:

A mononomial's variable can only have exponents 0,1,2,3 etc  so the product will also be a mononomial.

Answer:

the answer is -always

Step-by-step explanation:

Direct variation

The equation is written as y=mx+b

The  variation f(x) = 3x is A. Direct variation.

The function f(x) = 3x represents a type of relationship called a direct variation. In mathematics, a direct variation can be expressed in the form y = kx, where k is a constant. Here, k is 3. This means that as x increases or decreases, f(x) = 3x changes proportionally. The correct answer is therefore:

To further illustrate, consider two pairs of values for x and f(x):

if x = 2, then f(x) = 3(2) = 6,

And if x = 4, then f(x) = 3(4) = 12.

Notice that the ratio f(x)/x = 3 is constant.

Answer 5/14

Step-by-step explanation:

The simplest form of the given expression [tex]\frac{5}{8} \times \frac{4}{7}[/tex] is [tex]\frac{5}{14}[/tex].

An expression is a combination of numbers, variables, operations, functions, and often symbols that are combined according to particular rules to represent a mathematical computation or relation.

Expressions can be both simple as a single number or variable and complex by involving multiple variables and operations.

Some examples of Expressions are x, 4, x² + 6y + 2xy +6, [tex]\frac{x}{y}[/tex], [tex]\frac{x}{y} \times \frac{p}{q} \div e^7[/tex] etcectra.

The given expression is

[tex]\frac{5}{8} \times \frac{4}{7}[/tex] [tex]= \frac{5}{2}\times \frac{1}{7}[/tex]

        [tex]= \frac{5\times1}{2\times7}\\ = \frac{5}{14}[/tex].

Hence the given expression [tex]\frac{5}{8} \times \frac{4}{7}[/tex] can be simplified as [tex]\frac{5}{14}[/tex].

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Go to a website called desmos graphing calculator and it will help you out but I put a image of the graphed equation as well.

Answer:

The required graph is shown below.

Step-by-step explanation:

Consider the provided function.

[tex]y=-\frac{4}{7}x+1[/tex]

The above function is a linear function.

We can draw the graph of the function with the help of 2 points.

Substitute x = 0 in the above function.

[tex]y=-\frac{4}{7}(0)+1[/tex]

[tex]y=1[/tex]

Substitute y = 0 in the above function.

[tex]0=-\frac{4}{7}x+1[/tex]

[tex]\frac{4}{7}x=1[/tex]

[tex]x=\frac{7}{4}[/tex]

Now plot the points.

Draw a straight line passing through (0,1) and (7/4,0)

The required graph is shown below.

A.1/16 of a pound. Hope i helped

Answer:

A

Step-by-step explanation:

I only get one (2, 11)

to find the points which are solutions, substitute the x-coordinate into the equation and if the value obtained equals the y-coordinate of the point then it is a solution

(7, 16) : y = (3 × 7 ) + 5 = 21 + 5 = 26 ≠ 16

( - 2, 1): y = (3 × - 2) + 5 = - 6 + 5 = - 1 ≠ 1

(2, 11) : y = (2 × 3) + 5 = 6 + 5 = 11

( - 7,16 ): y = (3 × - 7) + 5 = - 21 + 5 = - 16 ≠ 16

the only point from the given list that is a solution is (2 , 11)

By substituting the x and y values of the given points into the equation 'y = 3x + 5', we can determine that the only solution from the given points is (2,11).

The given equation is y = 3x + 5. We can find out which of the points are solutions to the equation by substituting the x-coordinate and y-coordinate of each point into the equation. If the equation holds true, then the point is a solution.

So, the points that are solutions to the equation y = 3x + 5 are (2,11).

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Answer: 280 Miles.

Step-by-step explanation: 60 x 4 = 240 + 40 = 280 Miles.

ASNSWER

[tex]Perimeter=\frac{5x-16}{2}[/tex]

EXPLANATION

Let [tex]w=x[/tex] represent the width of the rectangle.

One-fourth of the width will be,

[tex]\frac{1}{4}x[/tex]

Let [tex]l[/tex] represent the length of the rectangle.

Then, subtracting 4 units from one-fourth the width gives us the length

[tex]\Rightarrow l=\frac{1}{4}x-4[/tex]

Perimeter[tex]=2x+2l[/tex]

[tex]\Rightarrow Perimeter=2x+2(\frac{1}{4}x-4)[/tex]

We expand to obtain;

[tex]Perimeter=2x+\frac{x}{2}-8[/tex]

[tex]Perimeter=\frac{x+4x-16}{2}[/tex]

[tex]Perimeter=\frac{5x-16}{2}[/tex]

Answer:

c = 3 oil changes

Step-by-step explanation:

The fixed rate for oil change is $ 40

The surplus rate for miles outside the radius is $ 2.25

Josh lives 7 miles of the radius

Therefore an equation for c: The largest number of oil changes that can be scheduled and maintained within the budget for the year is:

[tex]\\40c + 2.25 * 7c = 200\\c (40 + 2.25 * 7) = 200\\c =\frac{200}{40 + 2.25 * 7}\\c = 3,578\\c = 3[/tex] oil changes

Therefore, with the budget set Josh can make a maximum of 3 oil changes per year

Answer:

The answer is 3

Step-by-step explanation

mileage fee for each oil change: 7(2.25) = $15.75

service call + mileage fee = total for each oil change

$40 + $15.75 = $55.75

c = number of oil changes

55.75c = total amount for all oil changes

55.75c ≤ 200

c ≤ 3.59

Therefore, the greatest number of oil changes that Josh can schedule without exceeding his budget is 3.

x=-64/35

-6/5x+2= 21/25

Do fraction cross multiply

(-6*25=(5x+2)21

Then swap the sides (5x+2) *21 = (-6)*25

multiply(5x+2)21= -150/21

simplify

5x+2=- 50/7

subtact 2

5x+2-2=- 50/7-2

silmplify 5x=-64/7

divide by 5

5x/5=-64/7/5

simplify

x= -64/35

Solve:

-6/5x    +     2     =     21/25

Steps:

Solution      -6/5x    +     2     =     21/25      =======>   29/30,    Decimal  =====>   x   =   0.96667

Subtract  2 from both sides:

-6/5x    +     2     -   2    =     21/25     -    2

Simplify:

-6/5x      =     -29/25

Multiply both sides by   -25:

(-6/5x )(-5)     =     (-29/25 )(-5)

Simplify:

6x    =   29/5

Divide both sides by 6:

6x/6         =     29/5/6

Simplify:

Answer        x        =    29/30         Decimal:     0.96667....

Hope that helps!!!!                                      : )

Answer:

C.your GPA

Step-by-step explanation:

In general, employment applications require all of the following except:

C.your GPA

The GPA is not as important as the references, ones employment history and the highest level of education.

These information gives an overview about your history like if you are a fresher or an experienced person. And what education have you got, or who referred you to this particular company.

The GPA's are not considered at the first place. When a person progresses in an interview, then GPA might be considered to gather information like the person is how much efficient in that particular subject.

toby will reach more people in 40 phone calls

The way to solve this problem is to turn both denominators into 40

4 * 4        16

_          =  ---       so Clara will reach 16 people in 40 phone calls

10 * 4       40

3  * 5       15

_           = ----        so Toby will reach 15 people in 40 phone calls

8 * 5         40

Therefore Clara will reach more people in 40 phone calls than Toby.

Answer: [tex]\frac{16}{21}[/tex]

Step-by-Step Explanation:

KCFmeans: Keep, Change, Flip

  [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{7}{8}[/tex]

= [tex]\frac{2}{3} * \frac{8}{7}[/tex]   KCF is applied here!

= [tex]\frac{2(8)}{3(7)}[/tex]

= [tex]\frac{16}{21}[/tex]

The formula of a midpoint SR:

[tex]M\left(\dfrac{x_S+x_R}{2},\ \dfrac{y_S+y_R}{2}\right)[/tex]

We have

S(4, 1) and M(7, -5)

Substitute:

[tex]\dfrac{4+x_R}{2}=7\qquad|\cdot2\\\\4+x_R=14\qquad|-4\\\\x_R=10\\\\\dfrac{1+y_R}{2}=-5\qquad|\cdot2\\\\1+y_R=-10\qquad|-1\\\\y_R=-11[/tex]

2(x + 3) ≥ -10 - 4x

2x + 6 ≥ -10 - 4x

+4x               +4x

6x + 6 ≥ -10

      -6   -6  

6x       ≥ -16

      [tex]\frac{6x}{6} \geq \frac{-16}{6}[/tex]

      [tex]x \geq -\frac{8}{3}[/tex]        reduced fraction

2(x+3) greater than or equal to -10 - 4x

So

2(x+3) >= -10 - 4x

2x + 6 >= -10 - 4x

2x + 4x >= -10 - 6

6x >= - 16

 x >= - 16/6

 x >= - 8/3

1. Part A

C

Part B

A

2a

4c

srry all i can do

Answers:

1.

Part A. Option a) vertical angles theorem and triangle angle-sum theorem

Part B. Option b) x=80, y=80

2. Option d) 123

3. Options 3 and 4:

Triangle Angle-Sum Theorem

Triangle Exterior Angle Theorem

4. Option c) x=37

Solution:

1. Part A

First, you can find x using the triangle angle-sum theorem: The sum of the interior angles of any triangle must be equal to 180°.

Second, you can apply the vertical angles theorem to find y: the angles opposite by the vertex must be congruent.

Then, the answer is option a) vertical angles theorem and triangle angle-sum theorem.

1. Part B.

First: Triangle angle-sum theorem

The sum of the interior angles of any triangle must be equal to 180°. The interior angles of the triangle in the figure are x°, 30°, and 70°, then:

x°+30°+70°=180°

(x+30+70)°=180°

(x+100)°=180°

x+100=180

Solving for x: Subtracting 100 both sides of the equation:

x+100-100=180-100

x=80

Second: Vertical angles theorem: The angles opposite by the vertex must be congruent:

In the figure, the angles x° and y° are opposite by the vertex, then they must be congruent:

y°=x°

y=x

and x=80, then:

y=80

Answer: Option b) x=80, y=80

2. The <1 is an exterior angle of the triangle in the figure, and according with the Triangle Exterior Angle Theorem, an exterior angle of a triangle must be equal to the sum of the interior angles no adjacents to it:

<1=60°+63°

<1=123°

Answer: Option d) 123

3.

You can apply the Triangle Angle-Sum Theorem, to find the third interior angle of the triangle. With this angle you can find the exterior <1.

You can apply the Triangle Exterior Angle Theorem to find the exterior <1.

Answer: Options 3 and 4:

Triangle Angle-Sum Theorem

Triangle Exterior Angle Theorem

4. Using the Triangle angle-sum theorem:

The sum of the interior angles of any triangle must be equal to 180°. The interior angles of the triangle in the figure are (2x-9)°, x°, and (2x+4)°, then:

(2x-9)°+x°+(2x+4)°=180°

(2x-9+x+2x+4)°=180°

Adding similar terms:

(5x-5)°=180°

5x-5=180

Solving for x: Adding 5 both sides of the equation:

5x-5+5=180+5

Adding:

5x=185

Dividing both sides of the equation by 5:

(5x)/5=185/5

x=37

Answer: Option c) x=37

First we have to change 7 1/5 into an improper fraction. 7 1/5 converted to an improper fraction is 36/5. Now, to divide this by 1/8, we need to multiply it by 8 (multiplying by the reciprocal). 36/5 * 8/1 = 288/5. In simplest form, this is 57 3/5.

The division problem 7 1/5 divided by 1/8 is solved by converting the mixed number to an improper fraction, converting the division problem to a multiplication problem by multiplying by the reciprocal, and then simplifying the resulting fraction. The final answer is 57.6.

To solve the problem 7 1/5 divided by 1/8, we first need to convert the mixed number 7 1/5 into an improper fraction. We do this by multiplying the whole number 7 by the denominator of the fraction 5 and then adding the numerator 1. So, 7 * 5 + 1 = 36.

So, 7 1/5 becomes 36/5. Now, we have 36/5 divided by 1/8.

When we are dividing by a fraction, we need to multiply by its reciprocal. The reciprocal of 1/8 is 8/1. So the problem becomes 36/5 multiplied by 8/1.

When multiplying fractions, we simply multiply the numerators and the denominators together. So, 36 * 8 = 288 and

5 * 1 = 5. Therefore, our answer is 288/5. Lastly, when we simplify this, it becomes 57.6.

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Answer:

y = 3x - 17

Step-by-step explanation:

Here is the point-slope form of the equation of a line.

[tex] y - y_1 = m(x - x_1) [/tex]

If you are given a slope, m, and a point on the line, (x1, y1), you just plug in the values into the equation above, and you get the equation of the line.

In your problem, you are given a point on the line, (5, -2). Now you need the slope of the line. Your line is perpendicular to the given line. The slopes of perpendicular lines are negative reciprocals. If you know the slope of a line, the slope of its perpendicular is found by flipping the fraction and changing the sign.

The given line has slope -1/3.

Flip -1/3 to get -3.

Now change the sign to get 3.

The slope of the line you need is 3. The line passes through point (5, -2).

Now we use the point-slope equation and we plug in the values we have.

[tex] y - y_1 = m(x - x_1) [/tex]

[tex] y - (-2) = 3(x - 5) [/tex]

[tex] y + 2 = 3x - 15 [/tex]

[tex] y = 3x - 17 [/tex]

The next number would be 6.

The pattern is add 3, then subtract two.

The next number in the series 3 6 4 7 5 8 is 6.

The next number in the series 3 6 4 7 5 8 is 6.

This is an alternating pattern where the first number increases by 1, the second number stays the same, and the third number increases by 1. So, starting with 3, the next number after 8 should be 9. However, since 9 is not given in the options, we can look for the closest number that follows the pattern, which is 6.

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ANSWER

[tex]S_5=91\frac{10}{81}[/tex]

EXPLANATION

The sum of the first [tex]n[/tex] terms of a geometric sequence is given by;

[tex]S_n=\frac{a_1(1-r^n)}{1-r} ,-1<\:r<\:1[/tex]

Where [tex]n[/tex], is the number of terms and [tex]a_1[/tex] is the first term.

When [tex]n=5[/tex], we have [tex]a_1=81[/tex], we get;

[tex]S_5=\frac{81(1-(\frac{1}{9})^5)}{1-\frac{1}{9}}[/tex]

[tex]S_5=\frac{81(1-\frac{1}{59049})}{1-\frac{1}{9}}[/tex]

[tex]S_5=\frac{81(\frac{59048}{59049})}{\frac{8}{9}}[/tex]

[tex]S_5=\frac{7381}{81}[/tex]

[tex]S_5=91\frac{10}{81}[/tex]