Find ‘k’ if 2 k- 1, 7, 11are in A.P.

Answers

Answer 1
Given:

• 2k -1 , 7 and 11 are in AP .

To find :

• The value of k .

Solution :

• As we know that , In AP common difference is same .

• b - a = c - b

=> 2b = a + c

Here :

• a = 2k-1

• b = 7

• c = 11

=> 2 (7) = 2k-1+11

=> 14 = 2k+10

=> 2k = 14-10

=> 2k = 4

=> k = 4/2

=> k = 2 .

Hence ,the value of k is 2 .

Hope it will help you.

Regards.


Related Questions

find the equation of the line. Use exact numbers.
help

Answers

Answer:

y = 2x + 4

Step-by-step explanation:

the line intersects the y axis at 4. so, b = 4

For the slope, to make it really easy, you can find a point where the line is on a point purfectly and just count how many times you went up or down and then left or right. Or, you can pick  2points and use the slope formula (y2-y1)/(x2-x1). the slope is 2.

Please help! I'm in a hurry

Answers

Answer:

the answer is 62

Step-by-step explanation:

you take  180 and subtract 118

Answer:

The answer should be 62, but i'm not positive so correct me if i'm wrong!

Explanation:

What I did is i added 118 and 118 then subtracted 360 by the sum. After that I divided the result by two which gave me 62, and I am almost sure that is the answer, but like I said i'm not positive. :)

Find the slope of the line that passes through the points (-2,3 ) and (4,-5).

Answers

Answer: The slope is m = -[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Answer: - 4,3

Step-by-step explanation:

A coin weighs 5/6 ounces. Ann picked up 3 of these coins.
What is the total weight of the coins she picked up?
Write your answer in simplest form.

Answers

How I’d do it:
5/6 three times makes 15/6. Made into a mixed fraction is 2 3/6, which in its simplest form is 2 1/2.
When converted to ounces, assuming that 6/6 is one complete ounce, then you get 2.5 ounces.
The total weight she picked up is 2.5 ounces.

What is the equation of a line, in point-slope form, that passes through (-2,-6)and has a slope of 1/3 ?

Answers

Answer:

y +6 = 1/3(x+2)

Step-by-step explanation:

Point slope form:

y - y1 = m(x - x1)

m = slope

Since x and y are negative, the double negatives make a positive.

What is StartFraction 5 Over 8 EndFraction divided by One-fourth?

Answers

Answer:

tfollow me plzzz

Step-by-step explanation:

Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q. P​

Answers

Answer:

train tracks

Step-by-step explanation:

They have simple rotations and movemental frequences

Gemma makes a conjecture that the sum of an odd integer and itself is always an even integer. Which choice is the best proof of her conjecture?

A) Look at these different examples: 7 + 7 = 14, 13 + 13 = 26, 23 + 23 = 46. So the sum of an odd number and itself must be even
B) Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
C) Let n represent an odd number, and let n + n be an even number. Therefore, n + n = n + n, which shows that the sum of an odd number and itself is even.
D) Every time you add an odd number and itself, the sum is an even number.Every time you add an odd number and itself, the sum is an even number.

Answers

Answer:

Let 2n + 1 be an odd number......  B/2nd option

Step-by-step explanation:

The best choice is

Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2.

Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.

What is Conjecture?

A hypothesis in mathematics is a conclusion or a proposition made tentatively without supporting evidence. Some conjectures, like the Fermat's Last Theorem or the Riemann hypothesis, have significantly influenced the development of new branches of mathematics.

First, Only three examples are given which is not appropriate at all.

Second, This is the best proof is

Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.

Fourth, State the meaning of Title without proof.

Learn more about Conjecture here:

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Ian left his house and drove to the store. He stopped and went inside. From there, he
drove in the same direction until he got to the bank. He stopped and went inside the
bank. Then he drove home. The graph below shows the number of blocks away from
home Ian is x minutes after he left his house, until he got back home.

Answers

Answer:

6 blocks

Step-by-step explanation:

√27
A. 3√3
B. 6√7
Which one? ​

Answers

3 squee root 3 so a is the answer

Answer:

√27 = A. 3√3

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

3 √ 3

Help plz if someone could answer this problems soon as possible that would be great. It is a geometrical proof Given: angle 1 and angle 2 are complementary angle 1 is congruent to angle 3 and angle 2 is congruent to angle 4 prove: angle 2 and 3 are complementary

Answers

Answer:

<2 + <3 = [tex]90^{o}[/tex]

Thus, angles 2 and 3 are complementary.

Step-by-step explanation:

Complementary angles are two or more angles that their sum equals [tex]90^{o}[/tex]. Given that: i.  <1 and <2 are complementary

                  ii. <1 ≅ <3

                  iii. <2 ≅ <4

Prove that: <2 and <3 are complementary

Proof:

<1 + <2 = [tex]90^{o}[/tex] (complementary angles)

<1 ≅ <3 (congruent property)

<2 ≅ <4 (congruent property)

⇒ <3 + <4 = [tex]90^{o}[/tex] (complementary angles by congruent property)

Since <1 ≅ <3,

∴ <2 + <3 = [tex]90^{o}[/tex]

Thus, angles 2 and 3 are complementary

. Express each exponent in expanded form: StartFraction 6 times 6 times 6 times 6 times 6 times 6 times 6 Over 6 times 6 times 6 times 6 EndFraction 2. Divide common factors: StartFraction 6 times 6 times 6 times 6 times 6 times 6 times 6 Over 6 times 6 times 6 times 6 EndFraction. 4 sixes in the numerator and denominator are crossed out. What is the exponent of the simplified power?

Answers

Answer:

The exponent of the simplified power is 3

Step-by-step explanation:

Given:

6 × 6 × 6 × 6 × 6 × 6 × 6 / 6 × 6 × 6 × 6

Dividing common factors ( cancel out 4 6's in the Numerator and Denominator

= 6 × 6 × 6 / 1

= 6^3 /1

= 6^3

The exponent of the simplified power is 3

Answer:

The exponent of the simplified power is 3

Step-by-step explanation:

What is the domain of the function on the graph?

Answers

the graph starts at (-3,2), and goes to the right of the graph, covering all real numbers greater than or equal to -3, so D is correct

Just the last question thank you!!

Answers

Answer:

6 X 10^21

Step-by-step explanation:

At an opening of a new art gallery, the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. If the number of guests attending the opening was 56% more than expected, then how much was the final food cost?


$234.00
$357.00
$637.50
$994.50

Answers

Answer: $994.50

Step-by-step explanation:

From the question, we are informed that the owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. This means that the total cost to cater for the 150 people will be:

= 150 × $4.25

= $637.5

We are further told that the number of guests attending the opening was 56% more than expected, then the final food cost will be represented by:

= $637.5 + (56% × $637.5)

= $637.5 + (0.56 × $637.5)

= $637.5 + $357

= $994.50

please help, i need it done soon

Answers

Answer:

Point C i think is: (33/8, 0)

Step-by-step explanation:

I hope this helps -w-

If someone could help me I would really appreciate it!

Factor by slide and divide!

Answers

Answer:

(3x-4)(2x+5)

Step-by-step explanation:

6x^2 + 7x + 24

= 6x^2 + (15-8)x + 24

= 6x^2 + 15x - 8x + 24

= 3x( 2x+5 ) - 4( 2x+5 )

= (3x-4)(2x+5)

Please help! I’ll give brainliest to anybody who answers correctly!

Answers

I think you add 3 to the second number

The equipment elevator descends 4 feet per second. The elevator for the miners descends 17 feet per second. The equipment elevator descends. After 25 seconds, the elevator for the miners begin to descend. What is the position of each elevator relative to the surface after another 12 seconds? At that time. Which elevator is deeper?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Equipment elevator Descent = 4 fts per Second

Miners elevator descent = 17 ft/sec

Miner's elevator begins descent 25 seconds after equipment elevator :

Elevation after another 12 seconds :

Descent = (speed * time)

Equipment elevator = 4 * (25 + 12) = 148 ft descent

Miner's elevator = 17 * 12 = 204 ft descent

The Miner's elevator is deeper at 204 feets.

If your UBER and your bill is 20$ they will ask if you want to leave a 4$ tip. what percent tip would that be?​

Answers

That is a 20% tip out of $20

4 out of 20 is 20% so they left a 20% percent tip

Rectangle ABCD has a length represented by the expression 2x-3, and a width represented by the expression 4x+5. Rectangle PQRS has a length represented by the expression x-1, and a width represented by the expression 3x+2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS

Answers

This question is Incomplete

Complete Question

Rectangle ABCD has a length represented by the expression 2x – 3, and a width represented by the expression 4x + 5. Rectangle PQRS has a length represented by the expression x – 1, and a width represented by the expression 3x + 2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS?

a) 2x + 1

b) 4x + 2

c) 4x + 6

d) 20x + 6

Answer:

b) 4x + 2

Step-by-step explanation:

The Formula for the Perimeter of a Rectangle = 2(L + W)

= 2L + 2W

Hence:

For rectangle ABCD

Length = 2x - 3

Width = 4x + 5

Hence, the Perimeter is :

P = 2L + 2W

P = 2(2x - 3) + 2(4x + 5)

P = 4x - 6 + 8x + 10

P = 4x + 8x -6 + 10

P = 12x + 4

For Rectangle PQRS

Length = x - 1

Width = 3x + 2

Hence, the Perimeter is :

P = 2L + 2W

P = 2(x - 1) + 2(3x + 2)

P = 2x - 2 + 6x + 4

P = 2x + 6x - 2 + 4

P = 8x + 2

The Expression that can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS is

Perimeter of Rectangle ABCD - Perimeter of Rectangle PQRS

(12x + 4) - (8x + 2)

12x + 4 - 8x - 2

12x - 8x +4 -2

4x + 2

Option b) 4x + 2 is the correct option.

Find x and y in each figure.

Answers

Answer:

[tex]by \:alternate \: interiar \: angle \: \\ (8y + 2) + (25y - 20) = 180 \\ 8y + 2 + 25y - 20 = 180 \\ 33y - 18 = 180 \\ 33y = 180 + 18 \\ 33y = 198 \\ y = 6 \\ \\ now \\ by \: \: linear \: pair \: \\ 10x + 8y + 2 = 180 \\ 10x + 48 + 2 = 180 \\ 10x = 180 - 50 \\ 10x = 130 \\ x = 13[/tex]

so finallyX=13and y=6-------------------------

answer this please :(

Answers

Question?? Hey where is the question at I cannot answer without a question

if i won 10 games out of 16, how many games would i need to paly to win 50

Answers

Ratio is 10:16, so to win 50, its 50:190, so you need to play 190 games to win 50

Answer:

19

Step-by-step explanation:

The number 4 is an upper bound for the set of roots of this polynomial function. f(x)=3x^4-5x^3-5x^2+5x+2

A.true
B.false

Answers

The answer is true hope that helps

True the no. 4 is an upper bound for the set of roots for the given polynomial.The roots can be real, imaginary or complex.

How to determine degree of a polynomial ?

To determine the degree of a polynomial just observe the highest power of the given variable.

According to the given question

A polynomial is given

f(x) = 3x⁴ - 5x³ - 5x² + 5x +2

Here we can observe that it is a polynomial in of degree 4.

We know that a polynomial of degree 'n' has n no. of roots so obviously a polynomial of degree 4 has 4 roots.

Learn more about polynomials here :

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simplify 3x(4x-5)+3 and its value for X = 3​

Answers

Answer:

Step-by-step explanation:

3x ( 4x - 5 ) + 3

12x^2 - 15x + 3

12 × 3^2 - 15 × 3 + 3

12 × 9 - 45 + 3

= 108 - 45 + 3

= 66

Hope this helps

plz mark as brainliest!!!!!!

Find the unit rate: $23.96 for 4 pounds

Answers

Answer:

5.99 dollars per pound

Step-by-step explanation:

Convert to a decimal by dividing the numerator by the denominator.

Describe how the value of the digit 2 changes in each place in the number 22.222.

Answers

The value of 2 is either multiplied by or divided by 10 depending on if you go left or right. Going left multiplies by 10 and right divides by 10. So the 2 farthest left represents 20, which means the 2 just to the right is 20 divided by 10, which is 2.

Answer:

ones, ten, hundreds, thousands, ten thousand, ect.

on the right side of the decimal represents a part of a number Ex. .222 is equal to 222/1000 of a number.

Will mark brainliest if correct!!!
(Evaluate 3 + 11t - 9u when t = 9 and u = 11)

Answers

Answer:

the answer is 3

Step-by-step explanation:

3 plus 99 minus 99

Answer:

3

Step-by-step explanation:

11 x 9=99

9x11=99

99+3=102

102-99=3

what is the answer to x/2+3<12 ?

Answers

Answer:

x<18

Step-by-step explanation:

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