Mathematics College

What is the common difference for this arithmetic sequence?
31, 48, 65, 82, ...

Answers

Answer 1

Answer:

d = 17

Step-by-step explanation:

The given arithmetic sequence is :

31, 48, 65, 82, ...

We need to find the common difference for this sequence.

First term, a₁ = 31

Second term, a₂ = 48

Common difference = a₂-a₁

= 48-31

= 17

So, the common difference for this arithmetic sequence is equal to 17.

Related Questions

What is the area of an equilateral triangle with perimeter 24 inches?

Answers

divide the perimeter by 3 to get 8 then use the equation for the area of a triangle (a= BH1/2) and your answer is 32

plz help.............

Answers

Answer: triangles are similar.

Step-by-step explanation:

Givn : OK = 3, OJ = 30, KN = 1, JM = 3#

Angle O is common in both the triangles.

Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar.

That means

That means the three angles of triangle OKJ are equal to the corresponding three angles of triangle ONM.

Hence the to triangles are similar.

Give one verbal expression (VE) and its equivalent algebraic expression (AE).
Example: VE: my age increased by half the age of Ellie AE: x + 1/2y

Answers

Answer:

A few examples:

VE: Three more than two times the temperature.

AE: 2x+3

VE: The money I have decreased by two thirds of the money you have.

AE: x - (2/3)y

VE: The number of friends I have increased by four times the amount of friends you have.

AE: x + 4y

Let me know if this helps!

pls help me.........​

Answers

Answer:

36 m^2

Step-by-step explanation:

A trapezoid's area can be found by (side 1 + side 2) * (height ÷ 2)

Answer:

tama po yan sa taas pareho kami ng sagot

Do you like penguins? btw does 1-5=3​

Answers

Answer:

I like looking and drawing a penguins

Step-by-step explanation:

And no 1-5 is not 3, it is -4

Write the common factors of 12 and 16. Identify the common factors and the greatest common factor?

Answers

common factors- 2,4
gcf- 4

Answer:

In this case, the greatest common factor is 4.

Step-by-step explanation:

Solve for
x
4
x
+
6
<
2
x
+
1

Give your answer as an improper fraction in its simplest form.

Answers

Answer:

[tex] \huge \red { \boxed{ \blue{ \boxed{ \tt \: x < - \frac{5}{2} }}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:inequalityequationPEMDASgiven:[tex] \text{4x + 6 < 2x + 1}[/tex]to find:[tex] \text{x}[/tex]tips and formulas:

the direction of inequality does not change

when you

Add (or subtract) a number from both sidesMultiply (or divide) both sides by a positive numberSimplify a side

the direction of inequality does change

when you

Multiply (or divide) both sides by a negative numberSwapping left and right hand sides

let's solve:

[tex]step - 1 : define[/tex]

[tex]4x + 6 < 2x + 1[/tex]

[tex]step - 2 : solve \: for \: x[/tex]

[tex] \tt{cancel \: 6\:from \: both \: sides} \\ \tt{4x + 6 - 6 < 2x + 1 - 6} \\ \tt 4x < 2x - 5[/tex][tex] \tt cancel \: 2x \: from \: both \: sides \\ \tt 4x - 2x< 2x - 2x - 5 \\ \tt 2x < - 5[/tex][tex] \tt divide \: both \: sides \: by \: 2 \\ \tt\frac{2x}{2} < \frac{ -5 }{2} \\ \tt x < - \frac{5}{2} [/tex]

why every comment but don't ​

Answers

Answer:

thanks

Step-by-step explanation:

y
is directly proportional to
x
2
.
If
y
=
20
when
x
=
2
find
x
when y=45

Answers

Answer:

x=4.5

Step-by-step explanation:

so when y=20 and x=2, y is 10 times x so, 45/10=4.5

Answer:

3

Step-by-step explanation:

i said by accident but hegarty says it's right

Anna has fabric that is 1/4 yard long. She needs to cut the fabric into pieces that are 1/8 yard long. How many 1/8 yard long pieces will she have

Answers

Answer:

2

Step-by-step explanation:

1/4= .25

1/8= .125

so 1/4÷ 1/8=2


Fog= f(g(x))
Domain has to be (-oo,x)U(x,oo)

Answers

the domain is
[-2,3]
not ypur answer

Consider the following set of 19 data values:

5 6 6 9 10 4 2 5 7 6 7 3 5 5 5 4 9 2 10

Round to 1 decimal for each answer if needed. If there is no mode type NONE in the answer box. If there is more than one mode, separate each value with a comma.

Mean =

Median =

Mode=

Answers

Answer:

mean = 5.4

median  = 5

mode = is the number that appears the most answer = 5

Step-by-step explanation:

mean

5+6+6+9+10+4+2+5+7+6+7+3+5+5+5+4+9+2+10  =       .........   / 19 = 5.4

median

2 2  3 4 4 5 5 5 5 5 6 6 6 7 7 9 9 10 10 then find the middle between these = 5

Plz help I will give brainliest whoever answers first correctly

Answers

Answer:

I like your profile pic

Step-by-step explanation:

A small university has 200 first-year students. Historically at this university, 88% of first-year students graduate in four years. Assume that whether or not one student graduates is independent of whether or not another student graduates. Let X represent the number of first-year students who graduate in four years. What are the mean and standard deviation X?

Answers

Answer: c is the answer . 176, 4.60

Step-by-step explanation:

just trust me bro

Find m 1 and m 2 in the diagram

Answers

Answers:
M for 1 is: 114
M for 2 is: 34

Why?
First you need to find out what the angle is for the corner to the left of angle 1 to do so

180-135 which equals 45

then to find on you take 180 (the sun of all interior angles in a triangle equal 180) and subtract all the angles give...
180-21-45= 114 (which makes since because angle one is obtuse and so is it)
Now for angle to you need to find the corner that is next to angle 1 to do so you do...

180-114 (because angle equals 114) this equals 66

Then you do 180-66-80 to get angle 2 which equals 34

Hope this helps :D

Which equation represents a line which is parallel to the line
y= 2x – 8?

Answers

Answer: y=2x

Step-by-step explanation:

Solve x 2 + 2x - 1 = 0

Answers

Answer:

x=-1/2

Step-by-step explanation:

hope this helps

Can someone please simplify this for me?

Answers

Answer:

3x√7y

Step-by-step explanation:

where is the closest chiken dealler i can find my racoon i think hes dateing a duck PLZ HELP im blind and have no limbs

Answers

Answer:

Step-by-step explanation:

walk

What best describes fraction

Answers

Answer:

a numerical quantity that is not a whole number

Step-by-step explanation:

What is 96 divided by 7 please help is is due by midnight

Answers

Answer:

13.7142857143

Step-by-step explanation:

so just 13

An it that was selling for $72.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.​

Answers

The answer is -16.5%

Solve
1
5
X
I’ll mark brainleist

Answers

Answer:

[tex]\frac{9}{5}[/tex] or [tex]1\frac{4}{5}[/tex]

Step-by-step explanation:

First add 1/5 from both sides to get 2/3x > 6/5. This can then be simplified to x > 18/10. 18/10 is the same as 9/5. And 9/5 is also 1 4/5.

Hope it helps!

Answer:

[tex]x>\frac{9}{5}[/tex]

Step-by-step explanation:

To reduce any confusion later on in the problem the first step should getting the fractions to have an equal denominator, this can be done by finding the LCF, or Least Common Factor.

In this case the least common factor is [tex]15[/tex], [tex]3[/tex] × [tex]5 = 15[/tex], and [tex]5[/tex] × [tex]3 = 15[/tex]; whatever you do to the denominator has to be done to the numerator

[tex]\frac{2}{3}[/tex] × [tex]\frac{5}{5} = \frac{10}{15}[/tex]            [tex]\frac{1}{5}[/tex] × [tex]\frac{3}{3} =\frac{3}{15}[/tex]

Now that the denominators are equal, lets input the values into the original equation:

[tex]\frac{10}{15} x-\frac{3}{15} >1[/tex]

add [tex]\frac{3}{15}[/tex]  to both sides, to isolate the variable

[tex]\frac{10}{15}x > 1\frac{3}{15}[/tex]  [tex]or \frac{18}{15}[/tex]  

divide

both sides by [tex]\frac{10}{15}[/tex], when you divide fractions you multiply  by the reciprocal of the divisor, then you multiply the numerators by the numerators and the denominators by the denominators. [tex]18[/tex] × [tex]15[/tex][tex]=270[/tex] , [tex]15[/tex] × [tex]10=150[/tex]

[tex]x>\frac{18}{15}[/tex] × [tex]\frac{15}{10}[/tex] ⇒  [tex]x>\frac{270}{150}[/tex]

[tex]270[/tex] and [tex]150[/tex] have a GCF, or Greatest Common Factor of [tex]30[/tex] which simplifies the answer to:

[tex]x>\frac{9}{5}[/tex]

Order the numbers from least to greatest.
0.462; 0.436; 0.435; 0.478


A.0.462; 0.436; 0.435; 0.478


B.0.435; 0.436; 0.462; 0.478


C.0.478; 0.462; 0.436; 0.435


D.0.436; 0.435; 0.462; 0.478

Answers

Answer:

The answer is B. 0.435,0.436,0.462,0.478

Step-by-step explanation:

:)

For each expression, use a property to write an equivalent expression. Tell which property you used.

1. (ab)c =

2. 3y + 4y =

3. 6 x 7 =

Answers

Answer:

1. is the answer

Step-by-step explanation:

Because i did the test

CAN SOMEONE PLEASE HELP ME WITH THIS!!!

Answers

Answer:

the photo is black..i cant see the question...

Step-by-step explanation:

Answer:

ok, but there's nothing on the screen, I think you linked the wrong document.

Step-by-step explanation:

In the first quarter of 2010, U.S. advertisers spent $5.9 billion on online
advertising. In the first quarter of 2011, they spent $7.3 billion. What is the
percentage rate of growth? (Round to one percentage place.)

Answers

Answer:

$1.4 B per year

Step-by-step explanation:

Graph y > - 3/4x + 3

Answers

Answer:

Here's what the graph would look like:

You just graph it like a normal line, but make sure the line is dashed because you are looking for all greater values, not greater than or equal to.

Shade the area above the line because it is greater.

convert 4x+2y=-6 to slope intercept

Answers

Answer:

I love algebra anways

the ans is in the picture so are the steps how got the ans

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Claire is building a dollhouse where 11 inch on the plans is equivalent to 55 inches on the actual dollhouse.



If the actual dollhouse is to be 60 inches tall, what will the height be on the plans?

Answers

55:11 is the ratio of actual inches to inches on the plan.

55/5=11, so each inch on the plan is equal to 5 inches in actuality.

60/5=12, so the height on the plans would be 12 inches.
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