The first three terms of an arithmetic sequence are as follows.17, 25, 33Find the next two terms of this sequence.17, 25, 33,

The First Three Terms Of An Arithmetic Sequence Are As Follows.17, 25, 33Find The Next Two Terms Of This

Answers

Answer 1

The sequence is given by the following formula:

[tex]y_{i+1}=y_{i-1}+8[/tex][tex]\begin{gathered} y_0=17 \\ y_1=17+8=25 \\ y_2=25+8=33 \\ y_3=33+8=41 \\ y_4=41+8=49 \end{gathered}[/tex]

Finally, the answers are 41 and 49.


Related Questions

Answer the A, B or C from the image. I understand it will be challenging… so I will be giving brainliest to whoever answers more than one. And many points to whoever answers even one.

!Any fake answers; ex. Blank answers. Will be reported!

Take as much time as you need, I will be trying to answer them myself in the meantime.

Answers

A. The division should happen before the subtraction.
B. The subtraction should occur within the parentheses before the exponent is applied.
C. Follow PEMDAS rules to solve.

See details:

the variance inflation factor (vif) is another measure that can detect a high correlation between three or more predictor variables even if no pair of predictor variables has a particularly high correlation. what is the smallest possible value of vif? (absence of multicollinearity).

Answers

Variance inflation factor can have a value as low as one (absence of multicollinearity). A VIF number greater than 5 or 10 generally denotes collinearity that is problematic.

The variance of bj is not inflated at all if the VIF is 1, which indicates that there is no association between the jth predictor and the other predictor variables.

VIF equal to 1 signifies that there is no correlation between the variables. A VIF of 1 to 5 indicates a moderate correlation between the variables. Variables are highly linked when the VIF is greater than correlated2.

VIF = 1.0 if all independent variables are orthogonal to one another. VIF = infinity if there is perfect correlation.

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a certain store has 3,000 employees working at its main location in a city and 100 employees working at a smaller location outside the city. the store manager will select a sample of 50 employees from all the employees to ask their opinions about extending store hours during the holidays. what is the advantage of selecting a stratified random sample, with location as strata, instead of a simple random sample? responses

Answers

The answer is the stratified sample assures that the opinions of employees from both locations will be represented..

The survey results will accurately reflect the opinions of both urban and rural employees if you choose this option. By soliciting feedback from employees in both regions, it will be possible to ensure that any policy based on the results of this survey not only represents the interests of urban employees, who make up the bulk of the workforce, but also those of rural employees.

Option B is untrue since a stratified sample will cost more to implement than a straightforward random sample and won't always result in financial savings.

Option C does not applicable because it is just a supposition without any supporting data.

Choice D is False, since a stratified sample in this situation produces results that are more typical of the store's employees from both locations than a random sample.

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after two weeks, Akira and Taro biked a total 276 miles. after 3 weeks they had biked a total of 413 miles. how many miles did they ride in third week?

Answers

From the given question

There are given that the :

After two weeks, the total miles is 276 and after 3 weeks, the total miles are 413

Now,

The total miles did they ride in the third week is:

[tex]413-276=137[/tex]

Hence, the total miles in the third week is 137.

Help quickly please…..!!!!!!!!

Answers

The equation without fraction is 51 - 8x = 0

What are Linear equations?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.  The standard form of a linear equation in one variable is the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

So, the equation is:

5 - 2/3 x = 3/4

Rewrite in a more simplified form:

first, take the LCM, we get -

(15 - 2x) / 3 = 3/4

Now, take LHS denominator 3 to RHS:

15 - 2x = (3 * 3)  / 415 - 2x = 9 / 4

Now, take 4 from RHS to LHS:

4(15 - 2x) = 960 - 8x = 9

At last, decrease 9 by 60:

60 - 9 - 8x = 051 - 8x = 0

Therefore, the equation without fraction is 51 - 8x = 0

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Evaluate the following quotient. Leave your answer in scientific notation(5.44 x 10-18) + (6.8 x 10-))Answer

Answers

Given:

[tex](5.44\times10^{-18})\div(6.8\times10^{-9})[/tex]

It can be written as follows.

[tex](5.44\times10^{-18})\div(6.8\times10^{-9})=\frac{5.44\times10^{-18}}{6.8\times10^{-9}}[/tex][tex]\text{Use }\frac{1}{10^{-9}}=10^9.[/tex]

[tex]=\frac{5.44\times10^{-18}\times10^9}{6.8^{}}[/tex]

[tex]=\frac{5.44\times10^{-18+9}^{}}{6.8^{}}[/tex]

[tex]=\frac{5.44\times10^{-9}}{6.8^{}}[/tex]

Dividing 5.44 by 6.8, we get

[tex]=0.8\times10^{-9}^{}[/tex]

[tex](5.44\times10^{-18})\div(6.8\times10^{-9})=0.8\times10^{-9}[/tex]

Hence the quotient is

[tex]0.8\times10^{-9}[/tex]

7. |4n+ 2|= 34 solve for “N”

Answers

By solving |4n+2|=34 solve for N we get 8 .

What is N factor?

The factorial of a non-negative integer n, denoted by n!, is the  product of all positive of  integers less than or equal to n. The factorial of n also  equals to the product of n with the next smaller factorial: For example, These are  value of 0! is 1, according to the  convention for an empty of product.

Sol-|4n+2|=34
Split into two equations
4n+2 = 34 or 4n+2=-34
4n+2 =34
Rearrange variable to the left side of the equation
4n =34-2
Calculate the sum or difference
4n=32
Devide both side of the equation by the coefficient of variable
n=32/4
Cross out the common factor
n=8
When n=8
LHS = |4×8+2|=34
RHS =34
LHS =RHS
Thus 8 is valid.

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If f(x) =5x2 - 3x + 1, calculate the following

Answers

Answer:

a) 199

f(-6)= 5(-6)^2 - 3 (-6) + 1 =199

b) 37

f(3)= 5(3)^2 - 3 (3) + 1 =37

Find the missing length of the triangle. 6.5 mm 2.5 mm b The missing length is millimeters.

Answers

In order to determine the value of the missing length b, use the Pithagorean theorem, given by:

h² = a² + b²

where:

h = 6.5 mm

a = 2.5 mm

solve the previous equation for b, as follow:

b = √(h² - a²)

b = √(6.5² - 2.5²)mm

b = √36 mm

b = 6 mm

Hence, the value of the missing length is 6 mm

Match the polynomial expression on the left with the simplified version on the right.

Answers

Given the following question:

First expression:

[tex]\begin{gathered} \frac{12x^3-14x^2+16x-8}{3x-2} \\ \text{ Factor the expression:} \\ 12x^3-14x^2+16x-8=2(6x^3-7x^2+8x-4) \\ \frac{2\left(6x^3-7x^2+8x-4\right)}{3x-2} \\ \text{ Factor:} \\ 2\left(6x^3-7x^2+8x-4\right)=(3x-2)(2x^2-x+2) \\ =(3x-2)(2x^2-x+2)=2\left(3x-2\right)\left(2x^2-x+2\right) \\ \frac{2\left(3x-2\right)\left(2x^2-x+2\right)}{3x-2} \\ \text{ Cancel the common factor:} \\ -(3x-2) \\ 4x^2-2x+4 \end{gathered}[/tex]

Second expression:

[tex][/tex]

Estelle is having her birthday party at Gold Frames Art Museum this year. A party package
costs $265 and covers the entrance fee for guests, a private party room, and an activity
guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the
total to $305.
Which equation can you use to find f, the cost of each favor?
265(f+ 8) = 305
265f + 8 = 305
How much did each favor cost?
Submit
8f +265 305
8(f+265): = 305

Answers

By using proportions, it is discovered that each favor costs $5.

Using the rule of three and proportions, this problem can be resolved.

The party's price is increased by $40 with the addition of 8 favors.

A proportion is an equation that sets two ratios at the same value.

How much does one favor cost?

Using the rule of three and proportions, this problem can be resolved.

The party's price is increased by $40 with the addition of 8 favors.

The threes rule states:

$40 for 8 favors

$1 for 1 favor

Cross-multiplication application

8x=40

x= 40/8

x = 5

There is a $5 fee for each favor.

A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4).

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What is the equation of the line that passes through the point (-6, 5) and has a
slope of - 3/2

Answers

Answer:

y = - [tex]\frac{3}{2}[/tex] x - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{3}{2}[/tex] , then

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

to find c substitute (- 6, 5 ) into the partial equation

5 = 9 + c ⇒ c = 5 - 9 = - 4

y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line

AB = 2x-2, BC = 3 and AC = 3x-5 find x

Answers

we can made a visula representation of the problem so:

So we can made an equation like:

[tex]\begin{gathered} AB+BC=AC \\ 2x-2+3=3x-5 \end{gathered}[/tex]

and we can solve for x so:

[tex]\begin{gathered} 2x+1=3x-5 \\ 5+1=3x-2x \\ 6=x \end{gathered}[/tex]

Answer: X=6

Step-by-step explanation: you can set AB plus BC to AC because they both are equal to the full line so..

2X-2+3=3X-5

First off add like terms so..

-2+3= 1 and then add 5 to the negative 5 and 1 which now leaves you with

2X+6=3X

Now you see more like terms ( 2X,3X)

Now subtract 2X from 3x which will leave you with

6=1X

Now to separate X and get you answer you see it’s 1X and 1X = X prior to defined answer, therefore you will be with X=6. Have a great day

Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.

Answers

The slope of the given lines are:

Graph 1 = 1/3

Graph 2 = -1/3

Graph 3 = 3

Graph 4 = -3

How to Find the Slope of a Line?

To find the slope (m) of a given line on a coordinate plane, choose any two points on the line, (x1, y1) and (x2, y2), then find the slope by plugging in the values of the coordinates into the formula below:

Slope of a line (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].

Find the slope of Graph 1:

Using two points on the line, (0, 0) and (3, 1):

Slope of graph 1 (m) = (1 - 0)/(3 - 0)

Slope of graph 1 (m) = 1/3

Find the slope of Graph 2:

Using two points on the line, (0, 0) and (-3, 1):

Slope of graph 2 (m) = (1 - 0)/(-3 - 0) = 1/-3

Slope of graph 2 (m) = -1/3

Find the slope of Graph 3:

Using two points on the line, (0, 0) and (1, 3):

Slope of graph 3 (m) = (3 - 0)/(1 - 0) = 3/1

Slope of graph 3 (m) = 3

Find the slope of Graph 4:

Using two points on the line, (0, 0) and (-1, 3):

Slope of graph 4 (m) = (3 - 0)/(-1 - 0) = 3/-1

Slope of graph 4 (m) = -3

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Find the missing dimension of the figure shown to the right round to the nearest 10th

Answers

Given the right triangle:

The Pythagorean theorem states that:

[tex]a^2+b^2=c^2[/tex]

From the problem, we identify:

[tex]\begin{gathered} b=14^{\prime}^{\prime} \\ c=19^{\prime}^{\prime} \end{gathered}[/tex]

And a is our missing value. Using the Pythagorean theorem:

[tex]\begin{gathered} a+14^2=19^2 \\ a^2=361-196 \\ a=\sqrt[]{165} \\ a=12.8^{\prime}^{\prime} \end{gathered}[/tex]

Convert the decimals below into fractions.
Use the symbol to represent the fraction bar. For example, you can expressas 2/3. Where necessary, express answers as improper fractions and in simplest
form.
0.25=
Type answer here. Be careful with spelling.
0.36
Type answer here. Be careful with spelling.
1.04 =
Type answer here. Be careful with spelling

Answers

0.25 = 25/100 = 1/4
0.36 = 36/100 = 9/25
1.04 = 104/100 = 26/25

suppose that a high school marching band has 108 members. of these 108 band members, 39 are seniors, 23 play the trumpet, and 8 are seniors who play the trumpet. what is the probability that a randomly selected band member is a senior given that he or she plays the trumpet? give your answer as a percentage, rounded to one decimal place.

Answers

The probability that a randomly selected band member is a senior given that he or she plays the trumpet is 34.78%.

Probability is defined as the likeliness of an event to happen. It can be calculated by dividing the total desired outcomes by the total outcomes.

P = desired outcomes / total outcomes

Of the 108 band members, if 23 play the trumpet, and 8 are seniors who play the trumpet, then the probability that a randomly selected band member is a senior given that he or she plays the trumpet is 8 divided by 23.

P = 8/23 x 100

P = 34.78%

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3. Find the equation of a line passing through (5,-6) parallel to : x + 3y = 8

Answers

The general slope intercept form is : y = m * x + b

Where m is the slope and b is y - intercept

Given the equation of the line : x + 3y = 8

Write the equation in slope intercept form to find the slope of the line

so, solve for y :

[tex]\begin{gathered} x+3y=8 \\ 3y=-x+8 \\ \\ y=-\frac{1}{3}x+\frac{8}{3} \end{gathered}[/tex]

So, the slope of the given line = -1/3

The parallel lines have the same slope

so, the slope of the required line = -1/3

And the equation will be :

[tex]y=-\frac{1}{3}x+b[/tex]

Find the value of b using the given point ( 5 , -6 )

When x = 5 , y = -6

[tex]\begin{gathered} -6=-\frac{1}{3}\cdot5+b \\ -6=-\frac{5}{3}+b \\ -6+\frac{5}{3}=b \\ \\ b=-\frac{13}{3} \end{gathered}[/tex]

So, the equation of the line will be :

[tex]y=-\frac{1}{3}x-\frac{13}{3}[/tex]

it can be written as : 3y = -x - 13

[tex]x+3y=-13[/tex]

out of 100 people which are either tall or fat or both, 62 are tall, and 55 are fat. if i select one random person out of the 100 what is the probability, he is both tall and fat?

Answers

The probability a selected person is both tall and fat is 0.341

How to determine the probability?

From the question, the given parameters are

People = 100

Fat = 55

Tall = 62

So, the individual probabilities are

P(Fat) = 55/100

P(Tall) = 62/100

Evaluate

P(Fat) = 0.55

P(Tall) = 0.62

The probability a person is both tall and fat is

P(Fat and Tall) = P(Fat) * P(Tall)

So, we have

P(Fat and Tall) = 0.55 *  0.62

Evaluate

P(Fat and Tall) = 0.341

Hence, the probability is 0.341

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I need answer and work shown step by step and if graph needs to be shown please show it as well

Answers

SOLUTION.

AC and BD will intersect at the mid-point between points A and C.

So let's find the mid-point between points A and C

Point A(-2, 4) and point C(-6, 0)

This becomes

[tex]\begin{gathered} \text{Mid}-poi\text{nt = (}\frac{x1+x2}{2}),(\frac{y1+y2}{2}) \\ \\ =\frac{-2-6}{2},\text{ }\frac{4+0}{2} \\ \\ =\frac{-8}{2},\text{ }\frac{4}{2} \\ \\ \text{Mid-point= (-4, 2) } \end{gathered}[/tex]

Therefore, the correct answer is option C.

A model of a ship is made to a scale of 3:400
The surface area of the model is 7200 cm²
Calculate, in m², the surface area of the ship.

Answers

Answer:

Given:

Model : Ship = 3 : 400

The surface area of the model = 7200 cm²

To Find:

The surface area of the actual ship in m²

Let's start with the map scale given:

Model : Ship = 3 : 400

We start by adding in a unit. Usually, we choose the units associated with the model:

Model : Ship = 3 cm : 400 cm

Now, according to tot the question, we know that the actual ship is in m:

Model : Ship = 3 cm : 400 ÷ 100 m

Model : Ship = 3 cm : 4 m

The question asked for surface area, so the units have to be in squares:

Model : Ship = (3 cm)² : (4 m)

Model : Ship = 9 cm² : 16 m²

Now, that we have the units set correctly according to the question requirement, we will find 1 branch of the model:

Model : Ship = 9 cm² : 16 m²

Model : Ship = 9÷9 cm² : 16÷9 m²

Model : Ship = 1 cm² : 16/9 m²

Finally, we can find the required units by multiplying both sides with the required units:

Model : Ship = 1 cm² : 16/9 m²

Model : Ship = 1 x 7200 cm² : 16/9 x 7200 m²

Model : Ship = 7200 cm² : 12800 m²

Answer: The surface area of the ship is 12800 m²

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hope this helps :)

You will have $ in five years if you set aside $1,000 a year at 8%.

Answers

$1,489.85 is the total amount

-20 greater than or equal to 5v

Answers

Write the inequality for the statement and solve for v

[tex]\begin{gathered} -20\ge5v \\ -\frac{20}{5}\ge v \\ -4\ge v \end{gathered}[/tex]

It means that v is less than or equal to -4. The solution set for this inequality is:

[tex](-\infty,-4\rbrack[/tex]

Please show me how to factorize this
[tex]5x {}^{3} - 9x {}^{2} - 17x - 3[/tex]

Answers

Answer:

(x - 3) (5x + 1)(x + 1).

Step-by-step explanation:

5x^3 - 9x^2 - 17x - 3

As the first coefficient is 5 and the last -3, so product is -15, we could try if (x-3) is a factor:

By the Factor Theorem, if x-3 is a factor then f(3) = 0.

f(3) = 5(3)^3 - 9(3)^2 - 17(3) - 3

= 135 - 81 - 51 - 3 = 0

So, x - 3 is a factor.

Now divide:

x - 3)5x^3 - 9x^2 - 17x - 3(5x^2 + 6x + 1 <------- Quotient

       5x^3 - 15x^2

                    6x^2 - 17x

                    6x^2 - 18x

                                    x - 3

                                    x - 3

                                     .......

Factoring 5x^2 + 6x + 1:

= (5x + 1)(x + 1)

So, the answer is:

(x - 3) (5x + 1)(x + 1).

What is the image of (0,-8) after a reflection over the line y=x

Answers

the reflection over the line y=x tells us to swap the points.

Therefore the point (0,-8) becomes (-8,0)

For A Brainlist !! Please Help Iwill Mark Brainlist I appreciate it so much I think its D but im not sure

Answers

The operations which must be part of the inverse function g(x) are:

Add 3Divide by 2.

What is an inverse function?

An inverse function can be defined as a type of function that is obtained by reversing or undoing a mathematical operation in a given function (f(x)).

In Mathematics, a given function (f(x)) and its inverse function has the following property f⁻¹(f(x)) = x.

Generally speaking, the inverse of multiplication is division while addition is the inverse of subtraction. In this context, we can reasonably and logically deduce that a "division by 2," followed by an "addition of 3" to the function f(x) are the operations that must be part of the inverse function g(x).

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An athlete swims at a constant rate. After 12 minutes, the swimmer swims 16 laps. A. Graph this relationship. B. Is this a proportional relationship? Explain.

Answers

Answer:

Step-by-step explanation:

5. Eggs are packaged in cartons of 12.
Which of these numbers of eggs can be packaged
in full cartons? How do you know?
a) 96 b) 56 c) 60 d) 74

Answers

Answer: C) 60

Step-by-step explanation: If you keep adding 12 the only number that I get on the list is 60.

a gas grill originally priced at 399 is on sale for 30% off
what is the sales price of the grill?
sales tax is 8.375% find the price you will pay (including tax)

Answers

Answer:

$302.69

Step-by-step explanation:

399 x 30% = 119.7 # finding how much you save

399 - 119.7 = 279.3 # how much the item costs with the sale

279.3 x 8.375 = 23.39 # the sales tax for the discounted item

297.3 + 23.39 = 302.69 # adding sales tax to the discounted item

I think this is right. I was never that great at sales tax and discount.

printer a can print a 300 page document in 10 minutes. printer b can print a 400 page document in 8 minutes. Both printers were run until a total of 1000 pages were printed. How many pages did printer b print?

Answers

its would be 800 because because because because because

Answer:

625 pages

Step-by-step explanation:

Rate x time of the one printer + the rate x time of the second printer = 1000 pages

t= time

([tex]\frac{300}{10}[/tex] )t +( [tex]\frac{400}{8}[/tex]) t = 1000

30t + 50t = 1000

t(30 + 50) = 1000

80t = 1000   Divide both sides by 80

t = 12.5

It took 12.5 minutes to get this job done with both printers.

Look at printer b

[tex]\frac{400}{8}[/tex] (12.5) = pages

50 x 12.5 = 625 pages

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