In the arthmetic sequence {-9, -4, 1, 6, 11,…}, what is the common difference ?

Answers

Answer 1
The common difference is 5 each time. Take for example -9 and -4 it’s goes up 5, and then 1 and 6 it goes up five and so on,hope this helped!
Answer 2
Answer:  5

Explanation:

Pick any term and subtract off the previous one to get the common difference.

For instance, let's say we picked 11

11-6 = 5

Or we could pick 6

6-1 = 5

Each time we get 5 as the common difference. It says that to get each next term, we add on 5.


Related Questions

Help pls I don't understand

Answers

Answer:

me too a I don't understand

The circle graph shows how Emily spent one hour using her iPhone. How many minutes did Emily spend on research?

Answers

Answer:

I don't see a circle graph. Add one and ill edit this answer

Step-by-step explanation:

Add

the

image.

Simplify the expression. Write your answer as a power.
The simplified expression is

Answers

Answer:

Answer = 6^7

Step-by-step explanation:

When multiplying expressions with exponent you add the exponents together. So here you would get 6^13/6^6. However you can simplify this farther since the base (6) is the same. When dividing expressions with exponents you subtract the exponents so the the answer would be 6^7.

Hope that helps! :)

Cos(alpha-beta)cos(alpha beta)=cos^2 alpha-cos^2 beta

Answers

The equation cos (α - β) × cos (α + β) ≠ cos² α - cos² β. Then the given equation is incorrect.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The equation is given below.

cos (α - β) × cos (α + β) = cos² α - cos² β

Then show whether the equation is correct or incorrect.

Taking the left-hand side, then we have

[tex]\cos(\alpha-\beta)*\cos(\alpha +\beta) = (\cos \alpha \cos\beta + \sin \alpha \sin \beta ) (\cos \alpha \cos\beta - \sin\alpha \sin\beta )\\\\\cos(\alpha-\beta)*\cos(\alpha +\beta) = \cos ^2 \alpha \cos ^2\beta - \sin ^2 \alpha \sin ^2\beta[/tex]

The left-hand side does not equal to the right-hand side.

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The table shows the results of rolling a number cube with sides labeled 1 through 6 several times.

What is the experimental probability of rolling a 3 or a 6?

Enter your answer as a fraction in simplest form in the box.
1 10
2 6
3 4
4 8
5 6
6 6

Answers

Total times die rolled =10+6+4+8+6+6=40

Times 3 and 6 appears

4+6=10

Experimental probability

P(3 or 6)

10/401/40.25

Answer:

[tex]\sf \dfrac{1}{4}[/tex]

Step-by-step explanation:

Experimental probability

Calculated by dividing the number of times an event happens by the total number of trials in an actual experiment.

[tex]\textsf{Experimental Probability} = \dfrac{\textsf{Number of times an event happens}}{\textsf{Total number of trials}}[/tex]

Total number of trials = 10 + 6 + 4 + 8 + 6 + 6 = 40

Total number of times rolling a 3 or a 6 = 4 + 6 = 10

[tex]\textsf{Experimental Probability of rolling 3 or 6} = \sf \dfrac{10}{4}=\dfrac{1}{4}[/tex]

find the slope of the line containing the points (-3,2) and (3,7)​

Answers

[tex]\text{Given that,}~ (x_1,y_1) =(-3,2)~ \text{and}~ (x_2 ,y _2) = (3,7)\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~=\dfrac{7-2}{3-(-3)}\\\\\\~~~~~~~~~~~~=\dfrac{5}{3+3}\\\\\\~~~~~~~~~~~~=\dfrac 56[/tex]

the scores made by a group of eleventh grade students on the mathematical portion of the SAT are given.

Answers

Using the percentage concept, it is found that 33.33% of the students scored 650 or higher in the mathematical portion of the SAT.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Researching the problem on the internet, it is found that of the 15 students, 5 scored 650 or higher in the mathematical portion of the SAT, hence the percentage is given by:

[tex]P = \frac{5}{15} \times 100\% = 33.33\%[/tex]

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In Galton’s height data, the least-squares line for predicting forearm length (y) from height (x) is y = −0.2967 + 0.2738x.

Predict the forearm length of a man whose height is 72 in. Round the answer to three decimal places.

Answers

Using the line of best fit, it is found that the prediction of the forearm length of a man whose height is of 72 in is of 19.417 in.

What does the line of best fit state?

It states that the predicted forearm length of a person of height x is given by:

y = -0.2967 + 0.2738x.

In this problem, the height is of x = 72 in, hence:

y = -0.2967 + 0.2738(72) = 19.417 in.

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Mr. Brown picks out the time that appears the most to find the
. He arranges the times in increasing order and picks the middle value to find the
.

Answers

The correct answer is d I took that test

4. The equation 2x = - 10 is modeled below.
What is the value of x makes the equation true?

Answers

Answer:

x = -5

Step-by-step explanation:

2x = -10 <== divide both sides by 2

/2      /2

x = -5

Check your work:

2x = -10

2(-5) = -10

-10 = -10

This statement is true

Hope this helps!

The scale factor of the dimensions of two similar wood floors is 4:3. It costs $153 to refinish the smaller wood floor. At this rate, how much would it cost to refinish the larger wood floor?

Answers

With the given scale factor, The cost to refinish the larger wood floor is $204

How to determine the amount for the larger wood?

The scale factor is given as:

Scale factor = 4 : 3

This means that:

x : 153 = 4 : 3

Where x represents the cost to refinish the larger wood floor

Express as fraction

x/153 = 4/3

Multiply both sides by 153

x = 204

Hence, the cost to refinish the larger wood floor is $204

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(7 + 1)2 – (11 + 32) ÷ 4. simplify

Answers

Answer: 5.25

Step-by-step explanation:

Solve using PEMDAS,

(7 + 1)2 – (11 + 32) ÷ 4

(8)2 - (43) ÷ 4

16 - 10.75 = 5.25

20d + 0.7m = 235
Shelly spent $235 to rent a moving van. The equation above shows the relationship
between the number of days she rented the van, d, and the number of miles she drove
the van, m. If she rented the van for 3 days, how many miles did she drive the van?

Answers

The number of miles she drove the van for is 250 miles

Solving linear equations

From the question, we are to determine the number of miles Shelly drove the van

The given equation which shows the relationship between the number of days she rented the van, d, and the number of miles she drove the van, m is

20d + 0.7m = 235

Now, if she rented the van for 3 days, that is, d = 3

Putting the value of d = 3 into the equation to determine the value of m

We get

20(3) + 0.7m = 235

60 + 0.7m = 235

0.7m = 235 - 60

0.7m = 175

m = 175 / 0.7

m = 250

Hence, the number of miles she drove the van for is 250 miles

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What type of graph is this ?

Answers

Step-by-step explanation:

this isn't a graph of a function, this is just a series of plotted points.

Complete the definition of the h(x) so that it is continuous over its domain.

Answers

Answer:

A=0

B=2

so we have our question, h (x) x^3, x<0.

a is equal to 0 since that answer was already given.

so now it would be srqt/x over 0 of 4

4 divided by 0 is 0

1/2x x>4

turns into 1/2x x>4/1

cross simplify

the answer to B is 2

Answer:

a=0

b=2

Step-by-step explanation:

A. 611.18 b. 431.59 c. 395.59 d. 1,042.37. ASAP PLEASEE

Answers

Answer:

A

Step-by-step explanation:

Emma has a homework in 8 subjects she is deciding in what order to complete them in, how many different ways are there?

Answers

Answer:

40,320 ways

Step-by-step explanation:

By the Fundamental Counting Principle, she can do it in 8! ways:

8! = 8*7*6*5*4*3*2*1 = 40,320

12x+16y=336
Please help me find y intercept the answer should be 28 but guide me on the steps

Answers

12x + 16y = 336.
(move x to the right side, to have y by itself. so -12x on both sides)

16y = -12x + 336
(now divide each number by 16 to get Y on its own)

y = -12/16x + 336/16

y = -3/4x + 21

slope= -3/4
y-intercept= 21

I am not sure how it is 195 can someone please explain..

Answers

Answer:

[tex] \sqrt{ {22}^{2} - {17}^{2} } = \sqrt{484 - 289} = \sqrt{195} [/tex]

The side lengths do not form a Pythagorean triple.

Is it True or false?

Answers

Answer: False

Step-by-step explanation: right triangles need two equal angles and one different.

The height of a plant in centimeters is recorded each day for 14 days. The function y = 1.44x + 1.55 is determined to be a good fit for the data. On day 7, the recorded height was 12.32 centimeters. How close is the predicted height to the actual height of the plant (the residual)? A) 0.63 cm B) 0.69 cm C) 1.38 cm Eliminate D) −0.69 cm

Answers

The predicted height is close to the actual height of the plant by 0.69 cm

How to determine the closeness in the heights?

The equation of the height function of the plant is given as:

y = 1.44x + 1.55

The height on day 7 is calculated as:

y = 1.44 * 7 + 1.55

Evaluate

y = 11.63

The recorded height is given as 12.32

The residual is calculated as:

Residual = Recorded - Predicted

So, we have:

Residual = 12.32 - 11.63

Evaluate

Residual = 0.69

Hence, the predicted height is close to the actual height of the plant by 0.69 cm

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Please help, will give brainliest!

Answers

Answer:

1.99 x 10 ^20 N

Step-by-step explanation:

Just substitute in the values given

F = (6.67x 10^-11) * (5.97x10^24)(7.36 x 10^22)  / ( 3.84 x 10^8) ^2

  = 1.99 x 10^20  N

How can I find the x value?
How can I explain it?

PLEASE ANSWER THE QUESTION!!!

Answers

Answer:

Step-by-step explanation:
Discussion
What you have presented is called a cyclic quadrilateral. A cyclic quadrilateral is a 4 sided figure whose angles (4 of them) all touch the circumference of a circle.

Here's what you want to know. Two angles that are opposite each other are supplementary (they add to 180 degrees)

Equation
x + 80 = 180 Subtract 80 from both sides.

Solution
x + 80 - 80 = 180 - 80 Combine
x = 100

Answer
x = 100

Two sides of a triangle and an angle between them are given. Construct the triangle. Does the solution exist for any given angle?

Answers

Yes. We’ll always be able to connect the points at the end of each side to form the triangle’s third side, no matter what the lengths or angles.

A solution exists for constructing a triangle given two sides and the included angle if the triangle inequality theorem is satisfied

We have to draw a line segment to represent one of the given sides of the triangle.

From one endpoint of the line segment, use a protractor to measure the given angle. Mark this angle on the line segment.

Using a compass, set the compass to the length of the other given side of the triangle.

With the compass centered at the endpoint of the line segment, draw an arc that intersects the angle on the line segment.

Draw a line connecting the endpoint of the line segment to the point where the arc intersects the angle.

This line represents the second side of the triangle.

Finally, draw a line connecting the two endpoints of the sides you have constructed. This line completes the triangle.

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I need help! its really hard to do

Answers

Hi, I’m not sure how to help with this but there is a website called Calculator Soup and I use it a lot. It’s very helpful. Good luck!

Rectangle pqrs had vertices p(-4,3),q(-2,5),r(3,0) and s(1,-2). the diagonals of the rectangle bisect eachother. atwhich point do the diagonals intersect?

Answers

Answer:

Step-by-step explanation:

Place (dlick and drag) one option from each of the lists below Into Its corresponding box to
create an equation of the line that passes through the polnt (1, "10) and is perpandicular to y=-1/3 x +5

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{3}}x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-1}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-1}\implies 3}}[/tex]

so we're really looking for the equation of a line whose slope is 3 and passes through (1 , 10)

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{3}(x-\stackrel{x_1}{1}) \\\\\\ y-10=3x-3\implies y=3x+7[/tex]

The diameter of a circle is 42 ft. Find its area to the nearest whole number.

Answers

Answer:

5539 or 1764[tex]\pi[/tex]

Step-by-step explanation:

to find the area, we need the radius

The radius(R) is half of the diameter(D)

R = D/2

R = 42/2

R = 21

area of a circle(A) = pi x radius[tex]^{2}[/tex]

A = pi( which most times in a problem, equals 3.14) x 42[tex]^{2}[/tex]

A = 3.14 x 1764

A = 5538.96

A(when rounded) = 5539

Green paint can be made by mixing yellow and blue paint in a 2 : 5 ratio
What fraction of the green paint is yellow paint? Give your answer in its
simplest form.

Answers

Answer:

4 : 10

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

there's seven parts in green (2 yellow and 5 blue)

two of them are yellow

so 2/7 is the fraction

(seven is prime so it's already in simplest form.)

f(x) = 3x + 2
What is f(5)?

Answers

Answer:

17

Step-by-step explanation:

→ f(x) = 3x + 2

→ f(5) = 3(5) + 2

→ 15 + 2

→ 17 is the answer.

Answer:

F(5) = 17

Step-by-step explanation:

to solve, we just need to plug all values of x into 5 as shown

f(x) = 3x + 2
f(5) = (3*5) + 2

then following the format of PEMDAS (explained at footer) we solve the new equation

f(5) = (3*5) + 2
f(5) = 15 + 2
f(5) = 17

therefor F(5) is equal to 17

The PEMDAS format of solving equations:

the term Pemdas stands for the steps involved in solving an equation
Parenthasis (follow PEMDAS within these ( ) first untill in simplest form)
Exponents (such as x^y)
Multiply (any multiplication)
Devide (any devision)
Addition (any addition)
Subtraction (any subtraction)

hpe all this helps you ^^

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