If the sum of n term of an ap is sn = 3n^2+5n writ its common difference

Answers

Answer 1

In the given arithmetic progression Common difference is 14.

what is an arithmetic progression?

An arithmetic progression is a set of integers with a fixed difference between any two succeeding numbers (A.P.).

Given, the n term of ap is Sₙ = 3n² + 5n

Where n is the number of terms

S₁ = 3* 1 + 5*1

S₁ = 8

S₂ = 3 * 4 + 5*2

S₂ = 22

common difference = 22-8

Common difference = 14

therefore, the Common difference in the given AP is 14.

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Related Questions

Which expressions are equivalent to 2r + (t + r)2r+(t+r)2, r, plus, left parenthesis, t, plus, r, right parenthesis ?
Choose all answers that apply:

(Choice A:
2rt + 4r2rt+4r

(Choice B:
r+t

(Choice C:
None of the above

Answers

Answer:

none of the above

Step-by-step explanation:

Answer:

none of the above

Step-by-step explanation:

A. 2miles
B.200 miles
C.6 miles
Please help

Answers

Answer:

The answer to this is B. :D

Perform the operation. (-2x^2-4x+2)-(-6x+2) (−2x 2 −4x+2)−(−6x+2)

Answers

Answer:

-50x^2+30x-4

Step-by-step explanation:

NEED HELP ASAP
IF ITS NOT AN ACTUAL ANSWER, DONT ANSWER PLEASE!

Answers

Answer:

95

Step-by-step explanation:

180-35-50=95

Answer:

Its 95 i was wrong

Step-by-step explanation:

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $\$3.15$. Mary orders a bagel and a muffin, which comes out to $\$3.30$. Mary orders a piece of toast, two bagels, and three muffins, which comes out to $\$9.15$. How many cents does one bagel cost

Answers

On solving the question, by linear equation One bagel is 100*1.55 = 155 cents in dollars.

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept.

A toast costs =  x dollars.

A bagel costs  = y dollars.

A muffin costs = z dollars.

It costs $3.15 for two pieces of toast and a bagel.

As a result, 2x + y = 3.15. To get the price of a bagel, we express x as a function of y,

2x = 3.15 —Y

x = -o.5y+ 1.575

It costs $3.30 for a bagel and a muffin.

Since x and z are functions of y,

—0.5y + 1.575 + + 3(3.3 — y) 9.15

—0.5y + 1.575 +2y + 9.9—3y = 9.15

—1.5y + 11.475 = 9.15

1.5y = 2.325

2.325

Y = 1.55

One bagel is 100*1.55 = 155 cents in dollars.

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11. Which statement suggests causation?
a) When you are at the beach, you get
wet.
b) When you study for a test, your
classmate studies too.
c) When you carry an umbrella to school,
it rains.
d) When you don't brush your teeth, you
get cavities.

Answers

d) When you don’t brush your teeth, you get cavities.

hope this helps :)

please help me i can't seem to get it

Answers

Answer:

yurrrrrrrrrrrrrr

Step-by-step explanation:

Step-by-step explanation:

43

The angle should be 43 Hope it helps:)

Graph the Following parent function

Answers

Answer:

  see attached

Step-by-step explanation:

You want the graph of g(x) = -f(x-3), given the graph of the parent function f(x) = log₂(x).

Transformation

The replacement of x with x-3 as the function argument causes the graph to be translated 3 units to the right.

The replacement of f(x) with -f(x) causes the graph to be reflected over the x-axis.

The translated, reflected graph is shown in blue in the attachment.

Please help
Find the surface area of the rectangular prism.
7in, 12in, and 2in.

Answers

Answer:

244 in^2

Step-by-step explanation:

We'll start by listing out the dimensions of different surfaces on the shape, and how many times that specific sized rectangle is on the prism.

7x2 = 212x2 = 212x7 = 2

The prism has six sides, so check that whatever list you make lines up.

one side is equal to 14 in^2, so both sides have a total area 28 in^2one side is equal to 24 in^2, so both sides have a total area of 48 in^2one side is equal to 84 in^2, so both sides have a total area of 168 in^2

Now we can add all this up, 28 + 48 + 168 = 244 in^2 !

Which of the following ordered pairs are in the solution set of 0.5x - y>2? (Is it solved for y)

Answers

Answer:

Any ordered pair #(x, y)# that satisfies #x>=6+4y#Or, in set notation, #Solution={(x, y)|x>=6+4y}#Explanation:Now, there is a little problem here - it is that you never specified which ordered pair needs to be evaluated to satisfy the condition #0.5x-2y>=3# Allow me to explain.Below is a graph of the inequality of your question:graph{0.5x-2y>=3 [-10, 10, -5, 5]}To answer which point is in the solution set, well the answer is that any point that is on or within the shaded area is part of the solution set.

Step-by-step explanation:

928.89 The 8 in the ones place is ____________ times the value of the 8 in the tenths place.

Answers

Answer:

0.1 times

hope this helps

have a good day :)

Step-by-step explanation:

John flew a kite. He started flying the kite at 2:20 pm and ended at 3:14 pm. How many minutes did John fly a kite?

47 minutes
50 minutes
54 minutes
55 minutes

Answers

Answer:

the answer is 54 minutes

Answer:

Step-by-step explanation:

47

How do you know what to multiply in elimination?

Answers

Answer:

See below

Step-by-step explanation:

When nether of the variable will fall out when adding together.  For example:

2x + 5y = 13

-2x + 7y = 17

When I add these equation together, the variable x will drop out because 2x - 2x = 0 and we would be left with other the y variable which we then can solve for. 12y = 30    

Now another example where the neither the x or y falls out.

x + 5y = 12

2x + 3y= 9

When I add these together, neither variable falls out.

3x + 8y = 21

BUT, if I multiply x + 5y = 12 though by -2 I get

-2x -10y = -24

Now when I add the two equation together the x's will drop out.

-2x -10y = -24

2x + 3y = 9

-7y = --15

On a coordinate plane, the center of dilation is at (0, 0). Triangle A B C is dilated to create triangle A prime A C prime. The points of A B C are (negative 3, 3), (negative 1, 1), and (negative 3, 1). The points of A prime A C prime are (negative 9, 9), (negative 3, 3), and (negative 9, 3).
The dilation DO,3 (x, y) → (3x, 3y) is performed on the pre-image △ABC to make a similar triangle. Which statements are true? Check all that apply.

∠A corresponds to ∠A'.
∠A'AC' corresponds to ∠B.
CB corresponds to C'A.
Segment A'A is parallel to segment C'C.
△ABC ~ △A'AC'.

Answers

The true statements after a dilation of scale factor 3 are,

∠A corresponds to ∠A' and Triangle ABC is similar to triangle A'B'C'.

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, The points of ABC are (negative 3, 3), (- 1, 1), and (- 3, 1).

The points of A'BC' are (- 9, 9), (- 3, 3), and (- 9, 3) after a dilation of 3, (x, y) ⇒ (3x, 3y).

We know dilation maintains the similarity of the dilated figures.

Therefore, The statements that are true,

∠A corresponds to ∠A' as dilation maintains similarity.

Triangle ABC is similar to triangle A'B'C'.

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Answer:

Options A,B,C,E

Step-by-step explanation:

Mike is a sales person in a retail carpet store he paid 500 base salary per month plus 5% commission on sales over 10,000. His sales this month were 23,750 his total deductions were 152.75 What is the total amount on which mike could earn commission? What was the total amount of mikes commission? What was mikes base salary plus commission? What's mike net pay?

Answers

Answer:

Total amount on which Mike could earn commission:

Mike can earn amounts on sales over $10,000 so the commission amount is:

= 23,750 - 10,000

= $13,750

Total amount of Mike's compensation:

= 5% * 13,750

= $687.50

Mikes base salary plus commission:

= 500 + 687.50

= $1,187.50

Mike's net pay:

= Gross pay - deductions

= 1,187.50 - 152.75

= $1,034.75

picture shown. what is the volume of the rectangular pyramid?

Answers

Answer:

answer is 187.2

Step-by-step explanation:

5.2 times 4 times 9= 187.2

whats this shape called?​

Answers

Answer:

a rhombus

Step-by-step explanation:

expand and simplify and & simplify 4(f+3)+3(f+3)

Answers

4(f + 3) = 4f + 12

3(f+3) =3f + 9

Now you have 4f + 12 + 3f + 9

Combine like terms to get

7f + 21

Choose the best description of the data used to generate this histogram (note that the horizontal axis has no scale, so you will make your choice based solely upon the histogram's shape): OSAT Math scores of 1,000 future engineers and scientists. O Results of rolling a six-sided die 1,000 times. Cholesterol levels of 1,000 adults. O Shoe sizes of 1,000 men and women. O Prices of 1,000 California homes. * That is not quite right. The bulk of the SAT Math scores of engineers and scientists would be high scores, since people interested in those fields are usually good at math. So that distribution would be skewed left. Please try again.

Answers

On solving the provided question we can say that  so the value of the data from histogram graphs will be x [tex]\alpha[/tex] 0.123 * 125 / 100  = 0.15375

What is graphs?

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

the best way to describe the data that was used to create this histogram (keep in mind that there is no scale on the horizontal axis, so you must choose based simply on the appearance of the histogram graphs

so the value of the data from histogram graphs will be

z = 0.123

u = 100

x = 125

x [tex]\alpha[/tex] 0.123 * 125 / 100  = 0.15375

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The radius of a circle is 7 inches what is the area give the exact answer in simplest form

Answers

Answer:

49π

Step-by-step explanation:

what is a possible rule for a mug wump family member

Answers

Answer:

NO Results Found

Step-by-step explanation:

mrk me brainliest

Find the vertex of the function if x=1

options:
(1,24)
(1,30)
(1,32)
(1,41)

Answers

Answer:

         (1, 41)

Step-by-step explanation:

h = 1

k = p(h) = 4·1² + 24·1 + 13 = 4 + 24 + 13 = 41

Will Give Brainliest!!! 1. For the circle with equation , answer each question.

(a) What are the coordinates of the center?


(b) What is the radius of the circle?


(c) What is the diameter of the circle?

Answers

a) The coordinates of the center is (2 ,-3)

b) The radius of the circle is 3

c) The diameter of the circle is twice the radius = 2(3) = 6

Now, According to the question:

a) The equation of a circle is given by

[tex](x-h)^2 + (y-k)^2 =r^2[/tex]

where (h, k) is the center and r is the radius

(x - 2)² + (y+3)² = 9

(x - 2)² + (y- -3)² = 3^2

The coordinates of the center is (2 ,-3)

b) The radius of the circle is 3

c) The diameter of the circle is twice the radius = 2(3) = 6

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The complete question is this:

For the circle with equation (x - 2)² + (y+3)² = 9 , answer each question.

(a) What are the coordinates of the center?

(b) What are the radius of the circle?

(c) What is the diameter of the circle?

What is the volume of the figure?

Answers

144 cubic inches

Step-by-step explanation:

V=lwh

6x4=24

24x6=144

How many positive two-digit integers are multiples of 5 and of 7?

Answers

The number of positive two-digit integers that are multiples of 5 and 7 are 2

What ae multiples?

In mathematics, multiples are the results of multiplying an integer by a given number.

The multiples of 5 and 7 within 10 to 100 are

35 and 70

multiples of 5: 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95

multiples of 7: 7 14 21 28 35 42 49 56 63 70 77 84 91 98

The common numbers are 2 which are 35 and 70

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need help asap! will give brainlist!!!!

Answers

Answer:

Although i am not sure, I believe the answer is 56.

Step-by-step explanation:

A right angle is 90 degrees.

90 - 28 = 62

by the looks of it, the angle on to of the place of the 62 looks identical, so i will assume it is also 62 degrees.

62 + 62 = 124

180 - 124 = 56

So that is why I believe it is 56.

(I may either be completly right or completely wrong. If it has answer choices, look at them and see if it is an option)

Hope it helped anyways!

Each square inch of your body has about 6. 5 × 10^2 pores. Suppose the top of your foot has an area of about 2. 0 × 10^1 in. ^2. About how many pores are on the top of your foot?

Answers

The number of pores that are on the top of your foot is approximately 13,000 pores on the top of your foot.

To find the number of pores on the top of your foot, we can multiply the area of the top of your foot in square inches by the number of pores per square inch.

The area of the top of your foot is 2.0 x 10^1 in^2 and each square inch of your body has about 6.5 x 10^2 pores. So, the number of pores on the top of your foot can be calculated as:

2.0 x 10^1 in^2 * 6.5 x 10^2 pores/in^2 = 130 x 10^2 pores = 13000 pores

So, there are approximately 13,000 pores on the top of your foot.

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Volume ? Length: 5 inches
Width: 3 inches
Height: 7.2 inches

Answers

Volume or a rectangular prism is length times width times height so volume is 108 inches^3

What type of quadrilateral is ABCD? Move segments and words to the blanks to classify quadrilateral ABCD.


The slope of

6-4

The slope of

جانا جاتا

Ini

6-

The slope of

The slope of

The slopes indicate that

Therefore, quadrilateral ABCD is a

is

to

and that

is

to

AB

BC

CD

DA

congruent

parallel

perpendicular

parallelogram

rectangle

rhombus

square

Answers

The type of quadrilateral is ABCD is parallelogram.

There are some properties of parallelogram:

If Two pairs of opposite sides are parallel and equal in length.The two pairs of opposite angles are equal in measure and one pair of opposite sides is parallel and equal in length.The diagonals bisect each other, and the adjacent angles are supplementary.Each diagonal divides the quadrilateral into two congruent triangles, with the sum of the squares of the sides equals the sum of the squares of the diagonals.

The coordinate of quadrilateral ABCD  are A=(2,4) B=(5,6) C=(4,3) D=(1,1)

By using the coordinates we can find the slope:

slope=y2-y1/x2-x1

the slope of AB =6-4/5-2

AB=2/3

the slope of AD =1-4/1-2

AD=3/1

the slope of CD =1-3/1-4

CD=2/3

the slope of BC =3-5/3-6

BC=2/3

The slope indicates that the slope of AB is equal to BC and the slope of AD is equal to CD

Therefore, as per the properties, quadrilateral ABCD  is Parallelogram

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Please answer **ASAP**

if an=n(an-1) and a1=1 what is the value of a5

a. 5

b. 20

c. 120

d. 720

Answers

Answer:

Step-by-step explanation:

c.120 i did the work and i came out with this answer. Hope it helps!

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