evaluate each sequence's related arithmetic series. 1, 2 and 3 please.

Evaluate Each Sequence's Related Arithmetic Series. 1, 2 And 3 Please.

Answers

Answer 1

In order to evaluate the sequences, let's find the ratio of each one by subtracting the second term and the first one.

1)

[tex]\begin{gathered} 1,-5,-11,\ldots \\ r=-5-1=-6 \end{gathered}[/tex]

Since the ratio is negative, the sequence is decrescent.

2)

[tex]\begin{gathered} 2.5,5.5,8.5,\ldots \\ r=5.5-2.5=3 \end{gathered}[/tex]

The ratio is positive, so we have a crescent sequence.

3)

[tex]\begin{gathered} 4.7,8.7,12.7,\ldots \\ r=8.7-4.7=4 \end{gathered}[/tex]

The ratio is positive, so we have a crescent sequence.


Related Questions

A box of cereal costs $3.59 for 30 oz. Find the unit cost, round to the nearest hundredth. ?

Answers

[tex]\begin{gathered} C\text{ost \$3.59 for 30 oz} \\ \text{Unit cost =}\frac{\text{\$3.59}}{\text{30 o}z}\approx0.12 \\ \text{The unit cost is \$}0.12\text{ per oz} \end{gathered}[/tex]

Your bank account has -$21 in it and you deposit $6 per day. How much money is in your account after 4 days?

Answers

So the original amount of money in the bank account is given by a negative number: -$21. If you deposit $6 per day during four days then the total amount of money deposited by the fourth day is:

[tex]4\cdot\text{\$}6=\text{\$}24[/tex]

The total amount of money in the account is given by adding the deposited money to the original amount:

[tex]-\text{\$}21+\text{\$}24=\text{\$}3[/tex]

Then the answer is $3.

Someone answer this?

Answers

Answer:

lawsuits

Step-by-step explanation:

The table lists the locations of four underwater camreas relative to sea level which camrea is the farthest from the surface of the water

Answers

The fish camera will farthest from from the surface of water as it is -15 1/3 feet away that is 15 1/3 feet below the sea level. so correct option is B.

What is number line?

A number line is a diagram of a graduated straight line used to represent real numbers in elementary mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point. A number line is a visual representation of numbers on a straight line in mathematics. A number line's numbers are arranged in a sequential manner at equal intervals along its length. It is typically represented horizontally and can extend indefinitely in any direction. A number line is exactly what it sounds like—a horizontal, straight line with numbers spaced evenly apart along its length.

To know more about number line,

https://brainly.com/question/13425491?referrer=searchResults

#SPJ1

A jar of sweet pickles contains 650 grams of pickles. There are 12 jars in a case. How many kilograms of pickles are in a case?

Answers

7.8 kilograms (650 • 12 = 7,800 divided by 1,000)


Trey drew a map of the summer camp he is staying at this summer. He graphed the point D(-4.5, 4.5) for the dining
hall. The flag pole is located at D', a reflection of D across the y-axis. The campfire is located at D", a reflection of D'
across the x-axis.
Identify the ordered pair that describes the location of the campfire. Express your answer using decimal notation.

Answers

The coordinates of the campfire is D'' ( x₂ , y₂ ) = D'' ( 4.5 , -4.5 )

What is Reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of the point (x, y) across the y-axis is (-x, y)

Given data ,

Let the coordinates for the dining be = D (x , y )

Let the coordinate of the point D (x , y ) be = D ( -4.5 , 4.5 )

Now ,

The coordinates for the flag pole is D'

where D' ( x₁ , y₁ ) is the reflection of  D (x , y ) across the y-axis

So , When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of the point (x, y) across the y-axis is (-x, y)

Therefore , D' ( x₁ , y₁ )  = D' ( 4.5 , 4.5 )

Now ,

The coordinates for the campfire is D'' ( x₂ , y₂ )

where D'' ( x₂ , y₂ ) is the reflection of D' ( x₁ , y₁ ) across the x-axis

So , When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of the point (x, y) across the x-axis is (x, -y)

Therefore , D'' ( x₂ , y₂ ) =  D'' ( 4.5 , -4.5 )

Hence , The coordinates of the campfire is D'' ( x₂ , y₂ ) = D'' ( 4.5 , -4.5 )

To learn more about reflection click :

https://brainly.com/question/4681298

#SPJ1

what is the name of this system? consistent and dependent, consistent and independent, or inconsistent?

Answers

If a system has at least one solution, it is said to be consistent .

For system to be independent,

If a consistent system has exactly one solution, it is independent .

For system to be dependent,

If a consistent system has an infinite number of solutions, it is dependent .

The graph is given in the question tab which has exactly one solution.

So the given system is consistent and independent.

Colette earned a total of $15 for 3 hours of yard work. How many hours in all will it take Colette to earn $20? Assume the relationship is directly proportional.​

Answers

Answer:

Step-by-step explanation:

It would take four hours because you divide fifteen dollars by three hours which would be five per hour. If each hour is five dollars, then four hours would be twenty dollars.

questions in screenshot (odd numbers only)

Answers

Answer:

1. 250x12= 3000. So she earned $3000 in that 12 weeks, if you include the 500 then it would be 3500 dollars if not then it would be 3000 dollars.

2. Divide 75 and 12 and you get 6.25 if you want to estimate. Then the answer would be, all of the fields will be harvested in just 6 days.

3. Divide 54 and 3 and you get 18. 18 weeks if they frame the sanem number each week.

4. If you divide 8,000 and 450 you get 17.7777777778. If you want to estimate then the it would be 18. So it would take about 18 days to fill up the 8,000 gallons of water.

5. This graph is y=20x

6. Don't really know, if the 0 is 360 then 10 and 300 are pretty easy because 10=30. so 0, 10, 20 is 360, 300,240 likes the graph and I would think you can solve this

Complete each equation below so that it shows equivalent fractions.

Answers

1/4 would be equal to 3/12 because you’re multiplying by 3
4/5 would be 8/10 because you’re multiplying by 2
1/6 can be many, but the answer would be 2/12 because you multiplied by two

Answer:

[tex]\frac{3}{12}, \frac{8}{10},\frac{2}{12}[/tex]  

Step-by-step explanation:

→ Find the multiplier in the first one

12 ÷ 4 = 3

→ Multiply onto top

[tex]\frac{3}{12}[/tex]

→ Find multiplier for second one

10 ÷ 5 = 2

→ Multiply

2 × 4 = 8

Let f(x) = 4x-5 and g(x) = 3x, find (f+g)(x).​

Answers

Answer:

7x-5

Step-by-step explanation:

help meeeeeeeeeeeeeee pleaseeeeeee

Answers

Answer: 10.8 seconds

Step-by-step explanation:

[tex]-16t^2 +170t+40=10\\\\16t^2 -170t-30=0\\ \\ t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]

What is a number that is both a square number and a multiple of 9.

Answers

Answer:

3

Step-by-step explanation:

I hope it helps and have a wonderful rest of your day!!!! :)

BRAINIEST is appreciated it would really help me!!!!

Please do 2,3,4,5 and show work on how you got the answers. no graphing needed just the points

Answers

1) Coordinates are (2,-6) and (1,-1)

2) Points are (1,2) and (2,8).

Define coordinates.

You do the reverse to determine a point's coordinates in a coordinate system. Start at the point, then move up or down a vertical line until you reach the x-axis. Your x-coordinate is shown there. To get the y-coordinate, repeat the previous step while adhering to a horizontal line.

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

Given,

Function:

1) f(x) = -x² - 2x + 2

Let x be 1

y = -(1)² - 2(1) +2

y = -1 -2 + 2

y = -1

Points are (1, -1)

Let x be 2

y = -(2)² - 2(2) + 2

y = -4 -4 + 2

y = -6

Points are (2,-6)

2) f(x) = -2x²

Let x be 1

y = 2(1)²

y = 2

Let x be 2

y = 2(2)²

y = 8

So,

Coordinates are (1,2) and (2,8)

To learn more about coordinates, visit:

https://brainly.com/question/27749090

#SPJ1

PLEASE HELP ASAP
The following table shows lemonade sales at certain temperatures.
1A - What kind of function does the scatter plot model?
1B - What is the equation that models this function? Round to the nearest tenth.
1C - Using your equation, predict the sales for when it was 98 degrees.
for the other one its: The value of a car depreciates over time. The table shows the value of a car over a period of time.
2A - What kind of function does the scatter plot model?
2B - What is the equation that models this function? Round to the nearest tenth.
2C - Using your equation, predict the value of the car at 9 years.

Answers

Answer:

1a the scatter plot models the heart

Which box plot represe nts the data sei {1,3,5,7,9,11)? -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 © 2018 Songlind Created using Geogebra -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 2018 Song Crested using GeoGebra 1 2 3 4 5 6 7 8 9 10 11 © 2018 Songs Created using GeoGebra -1 0 1 2 3 4 5 6 7 8 9 10 11 12-13 2018 StrongMind Created using GeoGebra

Answers

The graphs represents the box plot of the data, then it divides the data in fourths.

Since we have 6 data, the median must be the average

[tex]\frac{5+7}{2}=6[/tex]

Since the only option where the median is in the number 6 is the third one then that is the correct answer.

But we can analyse more about the data, since

[tex]\begin{gathered} \frac{1}{6}\cong0.167 \\ \frac{2}{6}\cong0.33>0.25 \end{gathered}[/tex]

Then, the firs quartile must be at the second number, that is, the number 3, and the third quartile at the fifth number, that is, 9.

(Lesson 12.2) Graph the system of linear inequalities. Give two ordered pairs that are solutions andtwo that are not solutions. (2 points)9.sy 3x + 3w<-286I422 46 8-8 -6 -4 -20-2

Answers

ANSWER :

Two ordered pairs (Solution) : (-4, -4) and (-3, -3)

Two ordered pairs (Not a solution) : (1, 1) and (2, 3)

EXPLANATION :

From the problem, we have :

[tex]\begin{gathered} y\ge3x+3 \\ y<-2 \end{gathered}[/tex]

Note that the boundary line is dashed or broken if the inequality symbol is < or >.

Otherwise, the boundary line is a solid line.

Graph the first inequality :

Change the symbol to "="

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

Solve for the x and y intercepts.

[tex]\begin{gathered} \text{ when x = 0 :} \\ y=3(0)+3=3 \\ \\ \text{ when y = 0 :} \\ 0=3x+3 \\ -3x=3 \\ x=-\frac{3}{3}=-1 \end{gathered}[/tex]

Test the inequality at the origin (0, 0)

The region will pass through the origin if it satisfy the inequality.

[tex]\begin{gathered} y\ge3x+3 \\ 0\ge3(0)+3 \\ 0\ge3 \\ \text{ False!} \end{gathered}[/tex]

Therefore, the region will NOT pass through the origin.

Plot the points (0, 3) and (-1, 0).

Connect it with a solid line.

The region will NOT pass the origin.

Graph the second inequality :

Change the symbol to "="

[tex]y=-2[/tex]

Since y must be less than -2, the region is from y = -2 to the negative infinity.

Plot the point (0, -2) and draw a horizontal dashed line since the symbol is <.

That will be :

The solution to the inequality is the overlapping region.

Any point in the overlapping region is a solution.

Two ordered pairs solution are (-3, -3) and (-4, -4)

Two ordered pairs that are NOT a solution : (1, 1) and (2, 3)

A line has a slope of 1 and includes the points (-7, -3) and (c, 4). What is the value of c

Answers

Answer:

  c = 0

Step-by-step explanation:

You want the value of c such that point (c, 4) is on the line with slope 1 through point (-7, -3).

Point-slope equation

The point-slope equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

The line with slope 1 through point (-7, -3) has equation ...

  y +3 = 1(x +7)

  y = x +4 . . . . . . . subtract 3 and simplify

(c, 4)

The value of x when y=4 can be found using this equation.

  4 = x +4

  0 = x . . . . . . . subtract 4

The value of c is 0.

I need help graghing

Answers

y = (5/3)^x

For x= 0 , y = 1

For x=1,. y= 5/3

For x=2. y = 25/9= 2 + 7/9

For x= 3. y= (25/9)•5/3 = 10/3 + 35/27

For x= 4. y= (10/3 + 35/27)•5/3= 50/9 + 175/81= 625/81

For x= 5 y = (625/81)•5/3= 3125/243

For x=6. y= 15625/243 = 64 + 73/243

For x=7. y=78125/729 = 107+ 122/729

For x=8. y= 390625/2187= 178+ 1339/2187

NOW Part 2 Drawing it

which description shades length of the number line below?

Answers

Given the number line, it appears that in every 1/2 of a number, there are 5 bars in it. And in every 5 bars, 4 bars were shaded.

Adding the number of shades, we get:

4 + 4 + 4 = 12

Adding the total number of bars, we get:

5 + 5 + 5 = 15

The total number of bars sums up to be 3/2 in the number line.

Putting this into an equation, we get:

[tex]\text{ }\frac{12}{15}\text{ of }\frac{3}{2}\rightarrow\frac{\frac{12}{3}}{\frac{15}{3}}\rightarrow\frac{4}{5}of\frac{3}{2}\text{ }[/tex]

Therefore, the answer is 4/5 of 3/2. It is letter B.

can someone please help me find the valu of X?

Answers

The midsegment determines a smaller triangle that is similar to the larger triangle. If two triangles are similar, then their side lengths are at the same ratio, so that:

[tex]\begin{gathered} \frac{5x}{45}=\frac{20}{20+16} \\ \frac{5x}{45}=\frac{20}{36} \end{gathered}[/tex]

From this expression, you can determine the value of x:

-First. multiply both sides by 45:

[tex]\begin{gathered} 45(\frac{5x}{45})=45(\frac{20}{36}) \\ 5x=25 \end{gathered}[/tex]

-Second, divide both sides by 5 to determine the value of x:

[tex]\begin{gathered} \frac{5x}{5}=\frac{25}{5} \\ x=5 \end{gathered}[/tex]

The value of x is equal to 5

look at picture! thank you!

Answers

Answer:

middle, last, first

find the length of one side of a solid cube given that its
volume is 8 cm cube


total surface area is 54 cm square.

Answers

Step-by-step explanation:

I assume you mean as second question "what is the volume of a cube with the surface area of 54 cm² ?".

first question :

volume is 8 cm³

the volume of a cube is side³.

8 cm³ = side³

side = cubic root(8) = 2 cm

add-on : the surface of a cube (6 sides) is 6 times the area of side² squares.

surface = 6 × 2² = 6 × 4 = 24 cm²

second question :

54 cm² = 6 × side²

9 = side²

side = sqrt(9) = 3 cm

and the volume would be

side³ = 3³ = 27 cm³

Find the equation of a circle with the center at ( 0, 0 ) and a radius of 1.

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given details

[tex]\begin{gathered} center:(0,0) \\ radius:1 \end{gathered}[/tex]

STEP 2: Write the formula for equation of a circle

[tex]\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ Where\text{ }(h,k)\text{ is the center} \\ r\text{ is the radius} \end{gathered}[/tex]

STEP 3: Find the equation of the circle

[tex]\begin{gathered} By\text{ substitution,} \\ (x-0)^2+(y-0)^2=1^2 \\ x^2+y^2=1^2 \\ x^2+y^2=1 \end{gathered}[/tex]

Hence, the equation of the circle is given as:

[tex]x^2+y^2=1^[/tex]

(Write an algebraic expression to model the given context. Give your answer in simplest form.)

Answers

Answer: 19t + 100

Explanation:

From the information given,

she earns $19 per hour

Last week, she worked t hours. This means that the amount earned in t hours is

t * 19 = 19t

If her friend paid her $100 for photoshoot, the expression to represent the total amount April earned last week is

19t + 100

Find the missing angle measures. PLS HELP IM SO CONFUSED AND I HAVE A TEST TOMMROW

Answers

Answer:

7. x = 35   y = 25  

6.   m = 129  

10. 30                                                                                                                                                                                                                                                                                                                                                                                                            

Step-by-step explanation:

The sum of the interior angles of   a tringle is 180°.  The smaller tringle on the right adds up  to 180.

One angle is 90, that is the angle that has a small square. Another angle is 55 so the last angle needs to be 35 (90+ 55+35 = 180)

The larger triangle is 25 (90 +  55 + 10 + 25 = 180)          

6 m= the sum of the other                                                                                                                                                                                                                                                                                                                                                                                                              two angles that are given        

   

10 140 = 90 + 1

1 = 30                                                                                                                                                                                                                                                                                                                        

Answer:

Step-by-step explanation:

I think you are trying to answer #7 ?   I'll do that one

I see that you knew X =35°  

and you knew that b/c it's always 180° around the inside,  or interior , or minor angles of the RIGHT triangle (i'm making a big point out of the triangle being a "Right" one, b/c it matters for what we know about the triangle.)

so now you can add 10° to the 55° to get the next bigger RIGHT triangle.

65° is the upper angle so the ∠z = 25°

also you know [tex]y^{0}[/tex] b/c you know [tex]x^{0}[/tex] = 35°  and  

[tex]y^{0}[/tex]  +  [tex]x^{0}[/tex] = 180   ,  again

[tex]y^{0}[/tex]  = 180-35

[tex]y^{0}[/tex]  = 145°

Find the slope of the line. Write your answer in simplest form.
-5-4-3-2-1
(1, -3)
(-5,-4)
The slope is
45
y
1 x

Answers

The slope of the line is 1/6 when the graph has a line with points (1,-3) and (-5,-4).

Given that,

In the picture we have a graph with lines with 2 points.

We have to find the slope of the graph of line.

We have points (1,-3) and (-5,-4)

Slope of the line is m

m is rise/run

Rise is y₂-y₁

Run is x₂-x₁

Slope is (-4+3)/(-5-1)

Slope is (-1)/(-6)

Slope is 1/6

Therefore, The slope of the line is 1/6 when the graph has a line with points (1,-3) and (-5,-4).

To learn more about slope visit: https://brainly.com/question/16180119

#SPJ1

Write a system of two linear equations in two variables that you can
solve by subtracting the equations and that results in a solution of (3, 1).

Answers

The system of two linear equations in two variables that we can solve by subtracting the equations and that results in a solution of (3, 1) is:-

x + y = 4

2x - 3y = 3

Let x + y be equation (1) and  2x - 3y = 3 be equation (2).

Multiplying (1) by 2, we get,

2x + 2y = 8 ...(3)

(3) - (2), we get,

(2x - 2x) + (2y - (-3y)) = 8 - 3

0 + 5y = 5

y = 5/5 = 1

y = 1

Putting y = 1 in (1), we get

x + 1 = 4

x = 4 - 1

To learn more about linear equations, here:-

https://brainly.com/question/11897796

#SPJ1

Select the correct answer from each drop-down menu.A seashell has the dimensions shown.5 in10 in.What figure best models the shell, and what is the approximate surface area of the shell?The shell is best modeled by aThe approximate surface area of the shell issquare inches.

Answers

Answer:

Cone

100.6in^2

Step-by-step explanation:

Plato answer.

The approximate surface area of the shell is 75π square inches.

How to find the surface area of some object?

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object. Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

We are given that;

Diameter= 5in

Height=10in

Now,

Substituting these values in the formula for surface area of a cone, we get:

Surface area of a cone = π(5)(5 + 10)

Simplifying, we get:

Surface area of a cone = 75π in²

Therefore, the surface area will be 75π square inches.

Learn more about surface area here:

https://brainly.com/question/15096475

#SPJ5

Roster method The set of n negative integers greater than -7

Answers

Remember that

The Roster Method is a way to show the elements of a set by listing the elements inside brackets.

In this problem we have

The set of n negative integers greater than -7

so

the negative integers greater than -7 are

-6,-5,-4,-3,-2 and -1

therefore

The elements are

{-6,-5,-4,-3,-2,-1}

Other Questions
A 4.00-L vessel contained 1.5310-1 mol of gaseous PCl3, 1.4310-1 mol of gaseous PCl5, and 1.2010-1 mol of Cl2 gas at equilibrium at 245C.Calculate the value of Keq (expressed in terms of the molar concentrations) for the reaction:PCl3(g) + Cl2(g) PCl5(g) Runner A averages 5 miles per hour, and Runner B averages 6 miles per hour. At these rates, how much longer does it take Runner A than Runner B to run 15miles?1 hourShour2.5 hours1.5 hours3 hours Find the coordinates of the midpoint between (8, 1) and (0, - 9). F. (4, -5) G. (4, -4) H. (8, -5) J. (8, -8) neeed double chedking on this Given the equations and the table below, what is the first x-value when the y-value of equation 2 is greater than the y-value of equation 1 after the functions first intersect?Equation 1: f(x)=5x^3Equation 2: f(x)=2x+3A: x=14B: x=7C: x=17D: x=12 The sum of two consecutive integers is 17. Which equations could be used to find the twoconsecutive integers? Select all that are correct.A.X+X+1=17B.X+x=17C.2x=17D.2x+2=17E.X+X+2=17F.2x+1=17 ILL GIVE BRAINLIEST!!what does a fine box mean? Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.Find the side of a square whose diagonal is of the given measure.Given = ft. What strategies did Robert la follette use to try and create reform? A worker pushes a crate with a horizontal force of 225 N a distance of 8.0 M. How much work did the worker do on the crate?11,200 J1,800 J3,920 J0 J convert 1.7610 atoms of strontium to grams Part B: select the box or boxes under the coordinate pairs the represent solutions for the system. Each table represents a proportional relationship. For each, find theconstant of proportionality, k, and write an equation that represents therelationship. Write k as a simplified proper or improper fraction and use thegiven variables. 5. Which sentence is simple?A. She loves ice cream, but she hates sherbet.B She went to the grocery store and the mall.C. Since I did my chores, I got my allowance money.D. He went to the mall, but he did not buy anything. What is the oxidation state of the nitrogen inNaNO2?1+2+3+4+ Complete the two-way frequency table below, which shows the relationship between students who enroll in advanced algebra and physics inparticular high school. From a sample of 40 students, it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both. Howmany students are enrolled in either algebra physics? A grinding wheel 0.37 m in diameter rotates at 2400 rpm.(A) Calculate its angular velocity in rad/s.(B) What is the linear speed of a point on the edge of the grinding wheel? (C) What is the acceleration of a point on the edge of the grinding wheel? [the ending was select all that apply ] can somebody help me with this with an explanation on how to do it? in demand paging, a) a page loaded in memory may never be accessed. b) all pages that a program will access during execution are loaded in memory in the beginning. c) a page is loaded in memory only when it is needed during execution. d) a page is loaded in memory just before it is needed. i need help simplifying 1/3(3n+9)