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The sequence is in an arithmetic sequence, common difference is 2, next two term is 9 and 11.

The arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Here the sequence is 1, 3, 5, 7....

Here the sequence is in arithmetic sequence, so the common difference(d) is 3-1 = 5-3 = 2

So the common difference is 2

Now we need to find the next two terms, and for this, we have the formula to find the nth term of the sequence,

[tex]a_{n}[/tex] = a + (n-1)d

We have to find the 5th and 6th terms.

[tex]a_{5}[/tex] = 1 + 4×2

   = 1 + 8

   = 9

[tex]a_{6}[/tex] = 1 + 5×2

   = 1 + 10

   = 11

Therefore the sequence is in an arithmetic sequence, the common difference is 2 and the next two terms of the sequence are 9 and 11.

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The regular polygon with an interior angle of measure 135 is an octagon.

A regular polygon is a polygon that has equal side lengths and equal interior angle measures.

Interior angle of a polygon is the angle inside it that is formed by two adjacent sides. The number of interior angles formed inside a polygon is the same as the number of its sides. Meanwhile, the sum of all the interior angles of any polygon is constant to that polygon and depends on the number of sides.

sum = 180(n - 2)

Let n = number of sides of the polygon = number of interior angles

sum = measure of interior angle x n

Using the formula,

sum = 180(n - 2)

135n = 180(n - 2)

135n = 180n - 360

180n - 135n = 360

45n = 360

n = 8

If the polygon has 8 sides and 8 interior angles, then the regular polygon is an octagon.

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If participation continues at the same rate, the participation in 2013 will be 5.75million i.e. 5750000 .

Slope(m) for given two points (x₁,y₁) and (x₂,y₂)  is calculated using the formula

m=(y₂-y₁)/(x₂-x₁)

In the given question ,we will take year as x coordinate and the participation as y coordinate.

Given " The participation in 2004 was 8milllion" , So

The point becomes (2004,8)

and "the attendance in 2006 was 8.5 million" So

the point becomes (2006,8.5)

Now as we have the two points (2004,8) &  (2006,8.5) ,

x₁=2004 , y₁=8 , x₂=2006 , y₂=8.5

slope can be calculated as

m=(8.5-8)/(2004-2006)

m=0.5/2

m=0.25

Hence , the rate of change is 0.25 million participants per year.

It is given in the question that rate of change remains constant.

To predict the attendance for the year 2013.

Let the attendance for the year 2013 be x.

we have (2004,8) and (2013,x)

let m=0.25, x₁=2004 , y₁=8 , x₂=2013 , y₂=x

m=(y₂-y₁)/(x₂-x₁)

Substituting the values above we get  

[tex]0.25=\frac{8-y}{2013-2004} \\ \\ 0.25=\frac{8-y}{9}[/tex]

By cross multiplying we get

[tex]0.25*9=8-y\\ \\ 2.25=8-y\\ \\ y=8-2.25[/tex]

[tex]y=5.75[/tex]

Therefore , If participation continues at the same rate, the participation in 2013 will be 5.75million i.e. 5750000.

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In linear equation, the intersection at coordinate (9, 315).

What in mathematics is a linear equation?

Gym one:

f(x) =80 x + 25

Gym two:

g(x) = 35x (+ 0 [since there was no joining fee])

The first month is easy.

Gym one's cost is just the joining fee plus the one month of membership fee. Or...

105 = 80(1) + 25

Gym two's cost is just that first month's membership fee. Or...

35 = 35(1) + 0

then  second month

[f(x) = 185 = 80(2)+25

g(x) = 70 = 35(2)],

then a tenth month [

f(x) = 825 = 80(10) + 25;

g(x) = 350 = 35(10)]

and  that gym one's cost exceeded the cost of gym two,

back one month and found the answer.

By month nine, both gyms had equalized at $315.

the intersection at coordinate (9, 315).

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Answer:

$56/7 = 8 She spent $8 on each marker, (that's a lot).

Step-by-step explanation:

Hope it helps

Answer:

So per $8 per marker

Step-by-step explanation:

$56 ÷ 7 =$8

ΔJKL has sides that measure 17.07 units.

So,

The formula of perimeter: √(x₂−x₁)²+(y₂−y₁)²

Filling the values in the formula, we obtain:

Then, each side of the triangle will be: 17.07 units

Therefore, ΔJKL has sides that measure 17.07 units.

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Answer: 12j+7g

Step-by-step explanation:

not sure

Step-by-step explanation:

Normal distributions are symmetric around their mean. The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0. Normal distributions are denser in the center and less dense in the tails.

According to the question, the crickets don't chirp at all at [tex]34[/tex] degrees or below [tex]40[/tex] degrees and at [tex]56[/tex] degrees they chirp about [tex]140[/tex] times per minute. And [tex]55[/tex] chirps per minute when crickets make at [tex]62[/tex] degrees.

What is the calculation rule?

The calculation rule is to consider chirp rate as input and temperature as output. Then count the number of chirps, divide it by four and add forty to it. Therefore, the standard formula can be written as:

Estimated temperature = [tex](\frac{1}{4} )[/tex] chirp rate+[tex]40[/tex]

This formula is a mathematical model, it predicts the chirp rate with different temperatures. In mathematics, the temperature depends on the chirp rate that means once the chirp rate value is known then the temperature calculation becomes easy.

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The closing price of the stock is 131.82 dollars.

A stock is an equity or share that represents the ownership of a fraction of a issuing corporation.If someone holds a stock more than 50% that person decides or in charge of most of the things in that co-corporation.

According to the given question The value of a stock opens at 130.48 on monday.

Given it change throughout the day as follow: -0.47, +2.89 , +3 .39 , -4. 47.

∴ The closing price of the stock will be

130.40 + ( -0.47 +2.89  +3 .39  -4. 47 )

= 130.48 + 1.34.

= 131.82 dollars.

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Just search it up online

The second derivative is zero tells us nothing about stability.

What is a solution's equilibrium?

Differential equations can have solutions called equilibrium solutions when the derivative along those solutions equals zero. In other words, at that solution, the slope is a horizontal line.

Consider the following potentials:

U(x) = [tex]x^{4}[/tex]

U(x ) = [tex]x^{6 } - x^{4}[/tex]

U( x ) = [tex]x^{4} + x^{3}[/tex]

All three of these potentials have an equilibrium point at x=0. All three of these potentials are such that the second derivative of U(x) at this equilibrium point is zero.

However, you should convince yourself (perhaps by plotting these potentials) that in the first case the equilibrium is stable, in the second case it is unstable, and in the third case the equilibrium is, as you put it, "stable in one direction but unstable in the other".

The second derivative is zero tells us nothing about stability.

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Answer:the slope of a line it the angle/slope that that line is at

Step-by-step explanation: slope times width

Using algebraic expression and equation, an executive assistant invested $14,000 and $7,000 at the rate of 8% and 5% annual interest, respectively.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

Given that an executive invest a total of $21,000, we can express this as:

x + y = 21,000     ⇒     x = 21,000 - y     (equation 1)

where x = amount invested at 8% annual interest

y = amount invested at 5% annual interest

If the annual return is $1,470, then the sum of the product of the rate and the amount is equal to the annual return.

8%x + 5%y = $1,470

0.08x + 0.05y = 1,470     (equation 2)

Substitute equation 1 to equation 2 and solve for y.

0.08(21,000 - y) + 0.05y = 1,470

1680 - 0.08y + 0.05y = 1470

-0.03y = -210

y = 7000

amount invested at 5% annual interest = $7000

x = 21,000 - y

x = 21,000 - 7000

x = 14,000

amount invested at 8% annual interest = $14000

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The 10th term of the geometric sequence as described in the task content is; 4.

It follows from the task content that the 10th term of the sequence is to.be determined.

On this note, since the 10th term differs from the 9th term by a factor of r, common ratio.

Hence; a(10) = a(9) × r

= 8 × (1/2)

a(10) = 4.

Ultimately, the 10th term is; 4.

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Answer:

14 1/3

Step-by-step explanation:

You have to divide 86 by 6, which gives you 14 with a remainder of 2. This would result in 14 2/6, or simplified: 14 1/3

Answer:

14 2/6

Step-by-step explanation:

We want to transform 86/6 into a mixed number. We can achieve this by following these steps:

Step 1: Divide the numerator (86) by the denominator (6):

86 / 6 = 14 remainder 2

Step 2: Build your answer using the quotient (14) as the whole number and the remainder (2) as the numerator, keeping the same denominator (6). Thus,

The improper fraction 86/6

is equivalent to 14 2/6

simplest form is 14 1/3

The probability that he will choose his phone number is 1/420.

we are given the phone number  555- 3703, which contains 7 digits : 3 5s, 2 3s, 1 0s, and 1 7s,

The formula for the probability of an event is:

no.of possible cases / total number of cases.

For the final  result, we need to find the  individual digits' probabilities and multiply them.

So, the probability of first digits: 3/7

    the probability of Second digits: 2/6

    the probability of third  digits: 1/5

    the probability of fourth digits: 2/4

    the probability of fifth digits: 1/3

     the probability of Sixth digits: 1/2

Therefore the  probability of picking up his phone number is

 = 3/7 * 2/6 *1/5 * 2/4 * 1/3 *1/2

 = 1/420

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Answer:yes b

Step-by-step explanation:because tou add it

Answer:

Asking people at an international airport can be thought of as bias because   there might a lot of people at the airport who are old and who like to travel.

Asking people whether they’d prefer Italy or France could be bias because what if the people are Italian? Then they’d obviously choose Italy. Or maybe they’re French and they’ve lived in France and been to France too many times and they’d rather visit Italy.

If 86% of people asked took a French course, you can assume they want to learn French (obviously) and that they probably want to learn French so they can visit and be able to communicate with others in France.

Step-by-step explanation:

Answer: well they are parallel to each other

Answer:

Step-by-step explanation:

Two lines perpendicular to the same line are ___ to each other.

Two lines perpendicular to the same line are parallel to each other.

Answer:

r = [tex]\sqrt{\frac{3V}{4\pi h} }[/tex]

Step-by-step explanation:

V = [tex]\frac{4}{3}[/tex] πr²h ( multiply both sides by 3 to clear the fraction )

3V = 4πr²h ( isolate r² by dividing both sides by 4πh )

[tex]\frac{3V}{4\pi h}[/tex] = r² ( take square root of both sides )

[tex]\sqrt{\frac{3V}{4\pi h} }[/tex] = r

Answer: Campers: 7, 14, 28, 42

Adults: 1,2,5,30

Step-by-step explanation:

The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints are A(-12, 2) and C(-3,5).

Then the coordinates of the midpoint of a segment with the given endpoints will be

(x, y) = [(- 12 - 3) / 2, (2 + 5) / 2]

(x, y) = (-15/2, 7/2)

(x, y) = (-7.5, 3.5)

The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

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W is equal to -22

W=22

Answer:

-22

Step-by-step explanation:

First, lets flip the equation so That we can find W

-8 - 14 = W

The rules of math state that a negative minus a positive can be equal to that negative turned positive plus that positive, the answer turned negative

For example

8+14 = 22

-8-14 =-22

So this means W is -22

Lets check our work

-22+ 14 =-8

So the answer is true

Hope this helps!^^

Answer:

Common difference = x - 2.

Step-by-step explanation:

Differences:

-2x - 9 - (-3x - 7)

= -2x - 9 + 3x + 7

= x - 2

-x - 11 - (-2x - 9)

= - x - 11 +2x + 9

= x - 2

So, it is Arithmetic.

Answer:

Arithmetic sequence.

Common difference = -x - 11

Step-by-step explanation:

This is an arithmetic sequence.

-3x - 7, -2x - 9,  -x - 11, ...

Find the common difference.

Common difference =second term - first term.

                                 = -2x - 9 - (-3x - 7)

                                = -2x -  9 + 3x  +7

                                = -2x + 3x - 9 + 7      {Combine like terms}

                                = x - 2

If we add the common difference to the second term, we will get the third term.

Third term = second term + common difference

                  = -2x - 9 + x - 2

                  = -2x + x - 9 - 2

                  = -x - 11.

Hence this is an arithmetic sequence.

Answer:

-16

4

9

19

29

Step-by-step explanation:

Whenever one of these questions comes up, just plug in whatever number is in the x column into the x in the problem above. Ex) for 3, you would want to turn 5x+4 into 5(3)+4, which is 19.

Answer: $2

Step-by-step explanation:

p=cost of pens

23-8p=7

23-23-8p=7-23

-8p=-16

p=$2

Answer:

Step-by-step explanation:

Use the distributive property to remove the parentheses. Then use the addition property of equality to move the variables to the left and the constants to the right. Then simplify both sides of equation. Divide -1.76 to both sides of equation to solve for d.

1.8(6.4d + 4) = 1.6(8.3d + 6.7)

11.52d + 7.2 = 13.28d + 10.72

11.52d -13.28d = 10.72 -7.2

-1.76d/-1.76 = 3.52/-1.76

d = -2