determine which of the following are arithmetic
1/4, 3/4, 5/4 , 7/4 , 9/4 ,
80, 70 , 60 ,50 ,40
100, 50, 25 , 12.5
1,2,4,8,16
2/3, 4/3, 8/3 16/3, 32/3
5,10,15,20,25

Answers

Answer 1

Step-by-step explanation:

If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence. The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.


Related Questions

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To make purple paint, we need to maintain a 3:2 ratio of red paint to blue paint. Red paint costs $20 a gallon and blue paint costs $25 a gallon. A coupon gives a 10% discount on red paint and a 20% on blue paint. If you have $500 for paint, what is the maximum amount of red blue paint you can buy to make purple paint?

Answers

Answer:

red (w/discount) ... $18 per gallon

blue (w/discount) ... $20 per gallon

(3 n * 18) + (2 n * 20) ≤ 500

54 n + 40 n ≤ 500 ... 94 n ≤ 500 ... n ≤ 5 15/47

3 n = 15 gal red ... 2 n = 10 gal blue

Which of the following is a simpler form of the expression startfraction sine (theta) secant (theta) over cosine (theta) tangent (theta) endfraction? sec theta cos theta csc theta tan theta

Answers

The simpler form of the expression  [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]  is  [tex]\\\rm sec\theta[/tex].

It is given that the expression  [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]

It is required to find the simpler form from the given options.

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have the expression:

[tex]\rm= \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]

We know:

[tex]\rm cos\theta = \frac{1}{sec\theta} \\\\\rm tan\theta = \frac{sin\theta}{cos\theta}[/tex]

By using these trigonometry formulas, we get:

[tex]\rm= \frac{sin\theta sec\theta}{cos\theta tan\theta}\\\\\rm= \frac{sin\theta }{(cos\theta) (cos\theta) \frac{sin\theta }{cos\theta} }\\\\\rm= \frac{1}{cos\theta} \\\\\rm = sec\theta[/tex]

Thus, the simpler form of the expression [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]  is [tex]\\\rm sec\theta[/tex].

Know more about trigonometry here:

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Answer:

option A: sec Ø

Step-by-step explanation:

Olivia was pocking up some of her old stuff into a box. A box can hold 8
pounds, but she only filled it up full How much weight was in the bon?
3/5

Answers

Answer:

Step-by-step explanation:

2 easy ways:

1. Divide 7 by 3 then multiply by 2

7/3= seven thirds or 2.333

Now multiply by two to get 14 thirds

or 4.666

2. Multiply 7 by 2/3, or 0.666

This way is a lot easier with a

calculator

The weight of the box is 14/3’s or 4.666

2 determinar el valor del patrimonio con los siguientes datos Caja= 10,000 Bancos= 13,500 Cuentas por pagar= 8,000 Documentos por pagar= 4,000 Equipos de computación= 2,400 Documentos por cobrar= 5,100 Intereses por pagar= 1,200 es contabilidad pero no se cual es en ingles

Answers

Answer:

PN= $17,800

Step-by-step explanation:

La formula general para calcular el activo de una empresa es la siguiente:

A= PN + P

El activo es igual al patrimonio neto y el pasivo.

Debemos intercambiar los términos:

PN= A - P

Activo:

Caja= 10,000

Bancos= 13,500

Equipos de computación= 2,400

Documentos por cobrar= 5,100

Pasivo:

Cuentas por pagar= 8,000

Documentos por pagar= 4,000

Intereses por pagar= 1,200

PN= 31,000 - 13,200

PN= $17,800

in a certain algebra two class of 27 students, 11 of them play basketball and 13 of them play baseball. There are five students who play neither sport what is the probability that a student chosen randomly from the class plays basketball or baseball?

Answers

Answer:

b

Step-by-step explanation:

i took the test

The scale of a map says that 8 cm represents 5 km. What distance on the map in centimeters representan 5 km

Answers

Answer:

8cm

Step-by-step explanation:

8cm = 5km

5km = 8cm

therefore 8cm represent 5km on the map

$1.00 is worth 0.73 Swedish franc. How much is 12145 Canadian dollars in
francs.

Answers

Answer:

$8,865.85

Step-by-step explanation:

12145 multiplied by 0.73 = 8865.85

Two species of birds are being compared. Species A can fly 18.9 miles in 42 minutes, while species B can fly 20.3 miles in 58 minutes. Which species is slower, and at what speed can it fly?
A Species A is slower, and it can fly 0.35 miles per minute.
B Species A is slower, and it can fly 0.45 miles per minute.
C Species B is slower, and it can fly 0.35 miles per minute.
D Species B is slower, and it can fly 0.45 miles per minute.
100 POINTS

Answers

Answer:

Option C .

Step-by-step explanation:

Here it is given that there are two species of birds which fly at different rates.

Species A can fly 18.9 miles in 42min .Species B can fly 20.3miles in 59min .

We can use the formula here ,

[tex]\longrightarrow \red{ Speed =\dfrac{Distance} {Time} }[/tex]

For Species A :-

Substitute the respective values in stated formula ,

[tex]\longrightarrow v_A = \dfrac{18.9\ miles}{42min}\\[/tex]

Simplify ,

[tex]\longrightarrow v_A = 0.45\ miles / min [/tex]

For species B :-

Substitute the respective values in stated formula,

[tex]\longrightarrow v_B =\dfrac{20.3\ miles}{58min}\\ [/tex]

[tex]\longrightarrow v_B = 0.35\ miles / min [/tex]

Therefore from above calculations we can say that ,

[tex]\underline{\underline{ v_A > v_B }}[/tex]

Species B is slower and it can fly 0.35miles/minute .

Given: A (2, 3) and B(-1,4)
Can someone pls awnser this fast

Answers

Answer:

[tex]\sqrt{10}[/tex]

The correct answer is C

Step-by-step explanation:

d=√((x_2-x_1)²+(y_2-y_1)²)

=(−1−2)2+(4−3)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(−3)2+(1)2‾‾‾‾‾‾‾‾‾‾‾‾√

=9+1‾‾‾‾‾√

=1‾√0

=3.162278

PLEASE HELP!!! I WILL GIVE BRAINLIEST I NEED THESE!!
15. There are 24 more students in the seventh grade class than the number g in the eighth grade class. The seventh grade class has 160 students. Write and solve an equation to find the number of students in the eighth grade class.



16. You rent a canoe for $5 per hour. Your cost before the tax is added is $12.50. Write and solve an equation to find the number of hours that you rented the canoe.



17. The cost (in dollars) of making n birthday cakes is represented by
C = 24n + 35
How many birthday cakes are made when the cost is $395?

Answers

Answer:

the fist one = 160 - 24

the second one = 12.50 / 5

Step-by-step explanation:

Answer:

15. equation: g+24=160, and the answer is g=136

16. equation: 5d=12.50, answer is d=3.5 hours

17. 15 cakes are made when the cost is $395

Step-by-step explanation:

15: You know that there are 160 students in 7th grade. This would be on one side of the equal sign. You know that there are 24 more students in the 7th grade class than the 8th grade class. And we know that g represents the number of students in the 8th grade class. So you set up your equation as g+24=160. You would subtract 24 from both sides: g+24-24=160-24, which gives you g=136.

16: You spend $5 an hour, so, on one side, you will have 5. On the other you will have $12.50. We will let d represent dollars, and it will go with the 5 to give us 5d. The equation is 5d=12.50. From there, you will divide 5 from both sides: 5d/5=12.50/5, which gives you d=3.5.

17:  So, we have the equation, and we just plug in what we know. So, $395=24n+35. From there, we will subtract 35 from both sides. That would give us $395=24n and we will divide 24 from both sides to give us n=15 cakes.

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTIONN!!!!!!!

Answers

Answer:

81

Step-by-step explanation:

13/-13=-1+10=9

9*9=81

Answer:

81

Step-by-step explanation:

please help me omggggg

Answers

Answer:

the third one, EF = RQ or FD=QS

Answer:

it is the third box

hope this helps

Marcus is ordering supplies online for his dog. He plans to order a collar for $6.76 and some bags of treats for $4.80 each. The total for his order must be more than $25 to qualify for free shipping.

Answers

Answer:

25 < 6.76 + 4.80t

Step-by-step explanation:

The order has to be over 25 dollars so 25 dollars is less than the order.

He spends 6.78 dollars for a collar, so that will be part of the order. We don't know what the total cost of all the treats is, but we know that it is 4.80 dollars per bag. So 4.80t represents the cost for t amount of treat bags.

Step-by-step explanation:

What is the sum of the first 11 terms in the arithmetic sequence if the first term is -3 and the common difference d is 5.  


a.
152


b.
352


c.
402


d.
242​

Answers

Answer:

d. 242..................

Answer:

d

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 5, thus

[tex]S_{11}[/tex] = [tex]\frac{11}{2}[/tex] [ (2 × - 3) + (10 × 5) ]

      = 5.5(- 6 + 50)

       = 5.5 × 44

       = 242 → d

Which fraction is equivalent to 12⋅43÷56?

Answers

Answer:

9/3

Step-by-step explanation:

12x43=168

168 divided by 56=3

Write a ratio that simplifies to 3:4

Answers

One could be 6:8



Hope this helps!

Which lines are parallel? Check all that apply. Lines b, c, d, e, f are cut by transversal a. Clockwise from top left, the angles formed by lines b and a are blank, 89. 5 degrees, blank, blank; by lines c and a are blank, blank, blank, 91. 5 degrees; by lines d and a are blank, blank, 89. 5 degrees, blank; by lines e and a are 88. 5 degrees, blank, blank, blank; by lines f and a are blank, blank, 90. 5 degrees, blank. B is parallel to f b is parallel to d c is parallel to e c is parallel to d d is parallel to f e is parallel to f.

Answers

The two parallel lines will be b and d in the given question

What are parallel lines?

From the figure, we can see that

Angles formed by lines b and a are 89. 5 degrees

Angles formed by lines c and a are 91.5 degrees

Angles formed by lines d and a are 89.5 degrees

Angles formed by lines e and a are  88.5 degrees

Angles formed by lines f and a are   90.5 degrees

Since the angle formed by line b with a and d with a are equal that is 89.5

so these two lines will never intersect each other

But other lines have varied angles then they can intersect at one point

Thus the two parallel lines will be b and d in the given question

To know more about parallel lines follow.

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Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Select three answers.

Answers

Answer:

y = 1/10x+60.

Step-by-step explanation:

Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Select three answers. The correct answers are: The y-intercept of the function is $60. The function can be represented by the equation y = 1/10x+60.

Hope it helps!!!Brainliest pls!!!

A human hair has an average diameter of about 0.000017 meter. Write this measurement in scientific notation.

Answers

Answer: 1.7 x 10-5

Step-by-step explanation:

the answer should be 1.7 x 10^-5

How many cubic millimeters are in one cubic kilometer?

Answers

Answer:

I think 1000000000000000000

Step-by-step explanation:

Hope it's right

Answer:

it is 10000

Step-by-step explanation:

If is an angle in standard position and its terminal side passes through the point
(-1,-8), find the exact value of tan in simplest radical form.

Answers

Check the picture below.

Find the volume of each figure. Round your answers to the nearest tenth if necessary.
SHOW ALL WORK

Answers

Hey there!

Volume= (l)(w)(h)

=> 6cm × 5cm × 7cm

=> 210cm[tex] {}^{5} [/tex]

Therefore, Volume = 210cm[tex] {}^{5} [/tex]

can you please help me?

Answers

The answer is - $550.00

Explanation :
Add 110 each time

A sheet of origami paper is in the shape of a square with a side length of 7 inches, as shown. What is the area of the sheet of origami paper? A square has side lengths of 7 inches. Use the formula for the area of a square, A = s squared, where A represents the area and s represents the side length. 14 Inches squared 28 Inches squared 49 Inches squared 98 Inches squared

Answers

Answer:

Its 49 inches.

Step-by-step explanation:

We know that a squares has 4 equal sides, therefor: all sides equal 7 inches.

To find the area, multiply 7x7- which is 49.

Formula: A=s squared -> 49=7 squared

Hope this helps, brainliest is always appreciated! :)

Have a great day! cx

~Mitsuna

Daniel is currently 26 years older than his son. In six years he will be three times older
than his son. How old are both of them now?

Answers

Answer: sorr i onlyknow ti ar

Step-by-step:

Daniel is...remember "is" in a word problem means "equal"

So Daniel=x+26. x representing Daniel's son's age which we do not know.

In six years he will be three times his son's age, "times" meaning multiplication.

Daniel+6=3x, so just equate the two equations. So you must solve;

x+26=3x-6. From there I think you could handle things.

Which of the following is the equation of a line in slope intercept form for a line with slope =1/3 and y intercept at (0,-4)
A. Y= -1/3x - 4
B. X= 1/3y - 4
C. Y= 1/3x + 4
D. Y= 1/3x - 4

Answers

The linear function with slope of 1/3 and y-intercept at (0,-4) is given as follows:

D. y = x/3 - 4.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

m is the slope.The intercept has coordinates (0,b).

The parameters for this problem are given as follows:

m = 1/3, b = -4.

Hence the function is given as follows:

D. y = x/3 - 4.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

4 to the power of 3 times 4 to the power of -1

Answers

Answer:

16 or (4^2)

Step-by-step explanation:

4^3 * 4^-1

When multiplying exponents with the same bass, the exponents themselves can be added.

3 + -1 = 2

4^2 = 16

16 is your answer!

100 points. Please help. I'll give brainliest.

Answers

A: 95 people dislike both

B: 81

C: 21

Answer:

Thanks for the points!!

Step-by-step explanation: dawggggggg

plot the graph of y=cos x​

Answers

Step-by-step explanation:

[tex]\displaystyle \boxed {y = sin\:(x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = sin\:x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = sin\:(x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a wourd problem to wourk with, you MUST use the above formula for calculating the period. Onse you do that, the rest should be easy. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

Step-by-step explanation:

Cosine is a trigonometric function defined as the ratio of length of adjacent side and the hypothesis in a right-angle triangle.

It is a periodic function with a period of 2pi.

Graph of its plot is attached.

Can someone please give me the (Answers) to this? ... please ...

I need help….

Answers

Answer:

1. by going in circles on this ride we wouldn't fall off due to the seat belts that we fasten both forces are implied to this ride to make us go faster and not fall off

2. Ac=9 Fc=.9

Step-by-step explanation:

since Ac=v^2/r and r=1 and Fc=m(v^2/r) and m=.1 we can use this formula to get 9 and .9

3^2=9 9/1=9

.1(3^2/1)=.1*9=.9

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