what is the common difference for the arithmetic sequence? -6, -1, 4, 9, 14​

Answers

Answer 1

Answer:

5

Step-by-step explanation:

The common difference of any arithmetic sequence is the difference between two consecutive terms in the sequence.

In the provided sequence

-1-(-6)=5

4-(-1)=5

9-4=5

14-9=5

Therefore the common difference, d=5


Related Questions

I don't understand what im supposed to find? Isnt the math correct?​

Answers

Answer:

Step-by-step explanation:

Yes the math is correct. But the A part asks for the interest. The interest is 795.96 and that is what her account is worth. She thinks the interest is 3795.96, but it's not. She's added the bare principle in a second time.

Account amount = 3795.96

Interest = 795.96

6 x 10^-4 in standard form. explain how you did it pleeeeasee

Answers

0.0006=6x10^-4

Since the exponent is negative, the number will get smaller. A negative exponent shows that the decimal point is shifted that number of places to the left. The exponent is -4, so the decimal place will move 4 places to the left.

Answer:

0.0006

Step-by-step explanation:

A number in scientific notation if it has the form a × 10ⁿ.

A negative exponent indicates

A number between 0 and 1. That the decimal point is shifted that number of places to the left.

6 × 10⁻⁴ tells you that the decimal number is 6. with the decimal point moved four places to the left.

Thus, 6 × 10⁻⁴ becomes 0.0006

The price of a toy usually costing £50 is increased to £65
Work out the percentage increase.

Answers

Percentage increase is 30% increase.

The value of the percentage increase would be 30 percent.

Used the concept of the percentage that states,

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that,

The price of a toy usually costing £50 is increased to £65.

Hence, the increased price is,

£65 - £50 = £15

So, the percentage increase would be,

[tex]P = \dfrac{\£15}{\£50} \times 100\%[/tex]

[tex]P = \dfrac{1500}{50}\%[/tex]

[tex]P = 30\%[/tex]

Therefore, the percentage increase is 30%.

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3(q-7)=27 solve for q

Answers

Answer:

q =16

Step-by-step explanation:

q - 7 = 27/3

q = 9 + 7

q = 16

Best regards

q = 16



First, divide both sides o the equation by 3.

q - 7 = 27 / 3

q - 7 = 9

Now, add 7 on both sides.

q = 16

how do i answere this​

Answers

Answer:

F. m/1.05=0.7/1.4

Step-by-step explanation:

The first expression is not true as the side  labelled m in figure I corresponds to the side labelled 1.05 in figure II the side labelled but as for the the other set in the comparison i.e 0.7/1.4 it should start with the side that from figure I in the order in which they appear in the first ratio. The sides in the other ratios in the options correspond to each other and appear int the order in which the first ratio in each set appears

What is the measure of the angle RUS?

Answers

Answer:

the answer is 90 degrees

Step-by-step explanation:

angle PT=18

180-39-23-28=90

Answer:

Step-by-step explanation:

90

fill in the table the coordinates of B with the information missing about the different transformations of ABC which of the following represents the correct sequence of coordinates to fill in the table above?​

Answers

Answer: C. (3,-2) (-6,-9) (-6,9) (-9,6) (9,6)

The coordinates of B with the information missing about the different transformations of ABC will be (3,-2) (-6,-9) (-6,9) (-9,6) (9,6).

What are coordinates?

It should be noted that coordinates simply mean a set of values that simply show an exact position.

In this case, the coordinates of B with the information missing about the different transformations of ABC will be (3,-2) (-6,-9) (-6,9) (-9,6) (9,6). This is important to determine the position of the points.

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Please help... What is the exact volume of the sphere?
56.3⎯⎯π ft³
274.625π ft³
366.16⎯⎯π ft³
1464.6⎯⎯π ft³

Answers

Answer:

[tex]\large\boxed{V=366.16\pi\ ft^3}[/tex]

Step-by-step explanation:

[tex]\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\\text{We have}\ R=6.5\ ft.\ \text{Substitute:}\\\\V=\dfrac{4}{3}\pi(6.5)^3=\dfrac{4}{3}\pi(274.625)=\dfrac{1098.5}{3}\pi\approx366.16\pi\ ft^3[/tex]

The formula for the circumference of a circle C equals two pi R where are is the radius and see is the circumference equation solve for our is our equals C over two pi find the radius of the circle that has a circumference of 16 pi

Answers

Answer:

8

Step-by-step explanation:

The question is basically "Find the radius of the circle that has a circumference of 16π"

The formula for circumference of a circle is given as  [tex]C=2\pi r[/tex]

Where

C is the circumference

r is the radius

Plugging in 16π into C and solving for r gives us the radius. Shown below:

[tex]C=2\pi r\\16\pi = 2\pi r\\r=\frac{16\pi}{2\pi}\\r=8[/tex]

the radius is 8

What is the solution to the following system of linear equations? 4y − 36 = −12x 3x + y = −9 Select one: A. (-2, 3) B. (1, 5) C. no solution D. infinitely many solutions

Answers

I think it's c. No solution

Final answer:

The solution for the given system of linear equations is (1, -2), which is not provided in the options given. A possible typo may exist in the options.

Explanation:

This question is asking for the solution to a system of linear equations. The equations were given as 4y − 36 = −12x and 3x + y = −9. To solve this system, we can use the method of substitution or elimination. First, let's rewrite the first equation in terms of x. Dividing each side of 4y - 36 = -12x by -12, we get x = -y/3 + 3. We can then substitute (-y/3 + 3) for x into the second equation, yielding 3(-y/3 + 3) + y = -9. Solving Yields y = -2 and substituting y = -2 into x = -y/3 + 3 gives x = 1. So, the solution to this system is x = 1, y = -2. So the correct answer is (1, -2), which was not provided in the options. It seems there might be a typo in the options provided.

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simplify (3x-8)+(2x+5)-(4x-8)

Answers

Answer:

[tex]\large\boxed{(3x-8)+(2x+5)-(4x-8)=x+5}[/tex]

Step-by-step explanation:

[tex](3x-8)+(2x+5)-(4x-8)\\\\=3x-8+2x+5-4x-(-8)\\\\=3x-8+2x+5-4x+8\qquad\text{combine like terms}\\\\=(3x+2x-4x)+(-8+5+8)\\\\=x+5[/tex]

Final answer:

To simplify the expression (3x-8)+(2x+5)-(4x-8), distribute the negative sign, combine like terms, and simplify to x+5.

Explanation:

To simplify the expression (3x-8)+(2x+5)-(4x-8), we need to combine like terms. Start by distributing the negative sign in front of the parentheses that contain (4x-8):



(3x-8)+(2x+5)-4x+8



Now, combine the like terms:



3x+2x-4x-8+5+8



Combine similar terms:



1x+5



So, the simplified expression is x+5.

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what is the volume of a sphere with the radius of 3 cm round to the nearest cubic centimeter​

Answers

Answer:

Step-by-step explanation:

(4/3)*[tex]\pi[/tex]*r^3

V = 113,04

Best regards

need help, what’s the answer?

Answers

Step-by-step explanation:

This is a simple angle problem, and what we need to do is subtract 73-44. This is because if we subtract the angles we already have, we will get the angle that we are trying to solve. The answer would be 29.

find the total area of this object

Answers

There are 2 triangles.

Area of a triangle is 1/2 x base x height = 1/2 x 4 x 3 = 6 square units each.

6 x 2 = 12 square units.

There is 1 rectangle 3 x 10 = 30 square units.

There is 1 rectangle 5 x 10 = 50 square units.

5 is the hypotenuse of the triangle found by using the Pythagorean theorem.

There is 1 rectangle 4 x 10 = 40 square units.

Total surface area = 12 + 30 + 50 + 40 = 132 square units.

find the solution of the following system of equations by graphing y=-2x-1 y=-x-1​

Answers

Answer:

(0,-1)

Step-by-step explanation:

The solution to the system of linear equation is (0, -1)

What is the solution to the system of equations?

To solve for the system of linear equations, we can use substitution method;

y = -2x - 1 ...eq(i)

y = -x - 1 ...eq(ii)

Equate both equations

-x - 1 = -2x - 1

-x = -2x

This shows it can not be solved by any other means except graphically.

To solve this equation graphically, we can plug in the equations and then find the point of intersection;

Kindly find the attached graph below

The solution to the system of equation is (0,-1)

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how so i
simplify and factor this expression
-8c - 17 - 2c - 3

Answers

Answer: -10c-20

Step-by-step explanation:

Equation: -8c - 17 - 2c - 3

First, you factor -8c+17+ -2c+ -3

Then, combine like terms: (-8c+ -2c)+(-17+ -3)

Answer: -10c - 20

What is the perimeter of the shape below

Answers

Answer:

20

Step-by-step explanation:

look at picture and you can add all the numbers becuase i counted the sides

What is 4/5 turned into a percent

Answers

Answer:80 %

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

4 divided by 5 is 0.8. 0.8 is 80%.

Please help! Easy scatter plot multiple choice questions

Answers

The correct answer would be a, because the left side of the graph indicates that the y axis represents how many customers and since it says 7.pm in the question, it would be choice A

the fraction 7/9 produces a repeating decimal. True or false

Answers

Answer:

True

Step-by-step explanation:

anything over 9 that is not 9 is a repeating decimal

Answer:

True

Step-by-step explanation:

7/9 = 0.777777777778

Plz helppppppppppppppp

Answers

Answer:

[tex]\large\boxed{Area:\ 69\ ft^2}\\\\\boxed{Perimeter:\ 58\ ft}[/tex]

Step-by-step explanation:

Look at the picture.

The perimeter:

[tex]P=3+17+12+2+9+15=58\ ft[/tex]

We have two rectangles 12 ft × 2 ft and 15 ft × 3 ft.

Calculate the areas of the rectangles:

[tex]A_1=(12)(2)=24\ ft^2\\\\A_2=(15)(3)=45\ ft^2[/tex]

The area of the figure:

[tex]A=A_1+A_2\\\\A=24+45=69\ ft^2[/tex]

a window in the shape of a parrallelogram has a base of 36 inches and a height of 45 inches. what is the area of the window ​

Answers

I think the answer is 1620 inches.

Because 36 times 45 is 1620

The graph shown represents the rule y =x + 1.5

Answers

Answer:

Step-by-step explanation:

The employees of a company have different hobbies.

14 men who like playing golf
6 women who like playing golf
2 men who like running
18 women who like running

Which of the following statements is correct?

A.
For every woman who likes running, 9 women like playing golf.
B.
For every woman who likes running, 7 women like playing golf.
C.
For every man who likes running, 3 men like playing golf.
D.
For every man who likes running, 7 men like playing golf.

Answers

Final answer:

Among the given options, statement D, which says 'For every man who likes running, 7 men like playing golf,' is the correct statement based on the numbers provided.

Explanation:

In order to determine which statement is correct, we would need to relate the numbers given in the question. So let's take a look.

We have 14 men who like playing golf and 2 men who like running. So for each man that likes running, there are 14/2 = 7 men who like playing golf.We have 6 women who like playing golf and 18 women who like running. So for each woman that likes running, there are 6/18 = 1/3 women who like playing golf. This does not match either statement A or B. So we can rule them out.

With this comparison, we can conclude that the correct statement is D. For every man who likes running, 7 men like playing golf.

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Final answer:

The correct statement is option B: for every woman who likes running, 3 women like playing golf.

Explanation:

In order to determine which statement is correct, we would need to relate the numbers given in the question. To determine which statement is correct, we need to compare the ratio of women who like running to women who like playing golf.

There are 18 women who like running and 6 women who like playing golf.

Therefore, the correct statement is option B, which states that for every woman who likes running, 3 women like playing golf.

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Will mark brainest! Please look at the image for the question! (:

Answers

I believe the answer is d

Help anyone on these 3 problems

Answers

Answer:

5) a) complementary

6) b) supplementary

7) c) vertical angles

Step-by-step explanation:

5)

The sum of the complementary angles = 90 degrees

According to the graph, both angles add up to 90 degrees

Answer: a) complementary

6)

Straight angle is equal 180 degrees

The sum of the supplementary angles = 180 degrees

Answer: b) supplementary

7)

Vertical Angles are the angles opposite each other when two lines cross. The vertical angles are congruent.

Answer: c) vertical angles

Answer:

5. a) complementary; 6. b) supplementary; 7. c) vertical angles

Step-by-step explanation:

Question 5

The sum of the two angles is 90°.

The angles are complementary.

Question 6

x° + 62° = 180°

The angles are supplementary angles.

Question 7

The angles are opposite each other where the two lines cross.

∴ They are vertical angles.

Note: "Vertical" in this context doesn't mean "up-and-down." It means the angles share the same vertex (corner point).

Which expression is equivalent to 30m2+12m+18?? Please help ASAP !

Answers

Answer:

c) 6(5m2+2m+3)

Step-by-step explanation:

Given expression = 30m2 + 12m + 18

The simplified form can be calculated by taking GCF

The GCF of 30m2, 12m and 18 is = 6

Therefore, the expression becomes

(6*5m2 + 6*2m + 6*3)

=> 6(5m2+2m+3) so option c is correct

Catherine has $400 in her checking account. She writes a check for $600. What is the balance in her account?
–$1,000
–$200
$1,000
$200

Answers

Answer:

-200

Step-by-step explanation:

400 - 600 = -200

Answer:

-200

Step-by-step explanation:

600-400=-200

Please help me

A wooden fruit crate will hold 62 pounds of fruit. The crate already has 18 pounds of fruit inside of it. Which inequality represents the solution set that shows the pounds of fruit, p, that can be added to the crate?
A) p ≥ 44
B) p ≤ 44
C) p ≤ 80
D) p ≥ 80

Answers

Answer:

b

Step-by-step explanation: 62-18 is 44 and 44 is greater than 18

Answer:

B) p ≤ 44 is your ANSWER

Step-by-step explanation:

A bowl has 3 plums and 5 pears. A second bowl has 2 plums and 4 pears. You randomly chose one piece of fruit from the first bowl and one piece of fruit from the second bowl. What is the probability that they are both plums?

Answers

3x/5y = 60% 2x/4y=50%

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