Matchsticks are used to make a sequence of
patterns:
3 , 5 , 7 ...

Find the nth term rule for the number of
matchsticks in pattern n

Answers

Answer 1

Answer:

Tn = 1 + 2n

Step-by-step explanation:

Given the arithmetic sequence

3 , 5 , 7 ...

The nth term of an AP is expressed as;

Tn = a + (n-1)d

a is the first term = 3

d is the common difference = 5-3 = 7-5 = 2

n is the number of terms

Substitute

Tn = 3 + (n-1)(2)

Tn = 3 + 2n-2

Tn = 1 + 2n

Hence the nth term rule for the number of matchsticks in pattern n is 1 + 2n


Related Questions

1. What type of association does this
graph have?
A:positive
B:negative
C:none
D:all of the above

Answers

Answer:

C

Step-by-step explanation:

The graph have negative type of association.  the variables tend to increase as the other variable decreases.

What is the association of a graph?A positive association exists when one variable increases as the other variable increases. A negative association exists when one variable increases while the other variable decreases. If there is no relationship between the variables, the scatterplot points have no association.The association is linear when a straight line describes the relationship between the variables. The relationship is monotonic when it is described by a nonlinear function that is constantly increasing or decreasing. Other types of relationships could be nonlinear or non-monotonic.The appropriate statistical measures and tests of association are determined by the type of relationship.A bivariate normal density ellipse summarises the correlation between variables if the relationship is linear. The greater the correlation between the variables, the narrower the ellipse.

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What is the simplest form of the radical expression?
√2+√5/√2-√5

Answers

here u go...........

Help!!!!!!fast!!!!noww!!!!!help!!!!

Answers

Answer:

q^12

Step-by-step explanation:

To solve, multiply the exponents

Deborah has $56 in her bank account currently. She earns $8 per hour at her job at the local ice cream shop. Micah has $32 in his bank account and earns $12 per hour at his job mowing lawns. How many hours do they need to work to have the same amount of money in their bank accounts?

Answers

5 hours I did this on Plato

will mark brainliest and rate 5/5

Answers

Answer: Usually the formula for the volume of a prism is V=b(h)—> In words, Volume equals base times height. This means the height 10 would replace h. —> V=b(10). Next we want to find the B in the forumla. If you notice the question says that the base is 24 square centimeters. So our new formula is V=24(10). So option C, V=24x10 is the correct answer.

Factorise: 6ax+2abx+3ay+by

Answers

Answer:

I think the question is not correct because it can't be factorize

Step-by-step explanation:

4(y+2)-y= 2(y-1) +9

What does y equal

Answers

☁️ y = -1 ☁️

Hope it helps.

Explanation: Have a nice day!~  ̄▽ ̄❤️

Find the distance between the points (10,-10) and (1, 2).
1
Hint: Use the Pythagorean theorem.
1044
alapsas
8
PAUSED
6
Startscore
Go 100
4
0
(1,2)
2
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
-6
-8
(10-10)
-10
danimals to the nearest tenth

Answers

Answer:

-10

Step-by-step explanation:

Last Monday, a parking lot had 80 cars. Of those 80 cars, 40% were silver, 20 were red, and the rest were white. What percent of the cars were white?
What percent of the cars were white?

Answers

Answer: 28

Explanation: 40% of 80 is 32. 32+20 = 52. 80-52=28
So 32 cars are silver, 20 cars are red, and 28 cars are white

— 3х + 9y = — 21
— 3х +8y = -18
find the solution by system of equations

Answers

Answer:

x=-2,y=-3

Step-by-step explanation:

x=7+3x

-3x+8y=-18

-21-y=-18

x=7+3x

y=-3

x=7+3x

x=-2

y=-3

Answer:

x = -2

y = -3

Step-by-step explanation:

There are three methods for solving system of equations: elimination, substitution, and graphing. In this case elimination would be the best method since you have -3x for both equations. When solving by elimination, your goal is to eliminate one of the variables, in this case we will eliminate x. Subtract the bottom equation from the top (it is important to remember here that the negative will distribute to the entire equation).

-3х + 9y = -21

- (- 3х +8y = -18)

_____________

y = -3

Now plug this y-value in to either equation and solve for x

-3х + 9y = -21

-3х + 9(-3) = -21

-3x - 27 = -21

-3x = 6

x = -2

Check your answer by plugging both values in to the second equation

- 3х +8y = -18

- 3(-2) +8(-3) = -18

6 - 24 = -18

-18 = -18

If PQRS is a kite, find m angle Q

Answers

Answer:

Q = 35

Step-by-step explanation:

1. You add both (m)x values and y values making them equal to 180 creating a 2 step-equation: (7x+2) + (10x-31) making that 17x-33= 180

2. Now you have a 2 step-equation to solve: 17x-33 = 180-33=147

                                                                                  +-33  +-33

                                                                                 __________

                                                                              17x = 147/17=21

                                                                               /17     /17

3. From here with 21, knowing the kite must equal to 180, you add 21 to the other angle 124: 124+21=145

4. Seeing that you don't have a total of 180, you now subtract 145 from 180 in order to get the value of Q: 180-145= 35

Q= 35

ΔQ = 78°--------------------------

Step-by-step explanation:

7x + 2 = 10x - 31

33 = 3x

x = 11

so, 7x + 2 = 7( 11 ) +2 = 79°

10x - 31 = 10( 11 ) - 31 = 79°

ΔP + ΔQ + ΔR + ΔS = 360°

79° + ΔQ + 79° + 124° = 360°

ΔQ + 282° = 360°

ΔQ = 360° - 282°

ΔQ = 78°

Which expressions could be used to find the distance between points (-2, 8) and (7, 13) on a coordinate plane

Answers

Answer:

Step-by-step explanation:

Note how the stretch from x = -2 to x = 7 could be regarded as the horizontal leg of a right triangle (9 units in length), and that from y = 8 to y = 13 the vertical leg (5 units in length).  We need to find the length of the hypotenuse of this triangle, using the Pythagorean Theorem:

d = √(5² + 9²) = √106, or approximately 10.3 units.

Please answer this ASAP!!!

Answers

Answer:

it should be IV or 4

Step-by-step explanation:

Are the expressions -0.5(3x + 5) and
-1.5x + 2.5 equivalent? Explain why or why not.

Answers

Answer:

No, because the first equation equals -1.5x + 2.5 when simplified, but when the second equation is simplified it equals 1

add 17,346 + 92,601

Answers

Answer:

109,947

Hope this helps!

Answer:

using basic addition.. 17,346 + 92,601 = 109947

Towns P, Q and R are connected by roads PQ ,PR and QR. PR is 10km longer than PQ
QR is twice as long as PR.
The total length of three roads is 170km.
Work out length of PQ.​

Answers

Answer:

PQ = 35 km

Step-by-step explanation:

Here, we want to get the length of PQ

Let PQ = x

PR is 10 km longer than PQ

PR = 10 + x

QR = 2 * PR

QR = 2(10 + x)

Adding all gives 170;

x + 10 + x + 2(10 + x) = 170

2x + 10 + 20 + 2x = 170

4x + 30 = 170

4x = 170-30

4x = 140

x = 140/4

x = 35 km

PQ = 35 km

The length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.

What is the length of line segment?

Length of line segment (say YX) is the distance of both the ends of it (y to x).

Towns P, Q and R are connected by roads PQ ,PR and QR.

The line segment PR is 10 km longer than PQ. Therefore,

[tex]PR=PQ+10\\PQ=PR-10[/tex]            ......1

The line segment QR is twice as long as the line segment PR. Therefore,

[tex]QR=2PR[/tex]                 .....2

The total length of three roads is 170 km. Therefore,

[tex]PQ+PR+QR=170[/tex]

Put the value of PR and QR from equation 1 and 2 in the above equation as,

[tex](PR-10)+PR+(2PR)=170\\PR-10+PR+2PR=170\\4PR=170+10\\PR=\dfrac{180}{4}\\PR=45\rm km[/tex]

As the line segment PR is 10 km longer than PQ and length of PR is 45 km. Therefore,

[tex]PR=45-10\\PR=35\rm km[/tex]

Hence, the length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.

Learn more about the line segment here;

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Find the solution of the system of equations.
−x−3y= −3
x−6y= −24

Answers

Answer:

(-6 , 3)

Step-by-step explanation:

-x-3y= -3

x-6y= -24

1. solve each eq so they make x=___

-x = -3 + 3y

x= 3 - 3y

and

x = -24 + 6y

2. set = to each other and solve for y

3 - 3y = -24 + 6y

27 = 9y

y = 3

3. plug the y value into one of the x=__ eq's and solve for x

x = 3 - 3y

x = 3 - 3(3)

x = 3 - 9

x = - 6

your solution is ( -6 , 3 )

PLEASE HELPPPP!!!! ITS ALMOST DUE

Answers

Answer:

1. The radius of the circle is 6cm. We know this because the radius measures from the center of a circle to the outer side. Since the radius is always half the diameter then half of 12cm is 6cm

2. The diameter is 14cm. We know this because diameter measures from one edge of a circle straight across to the other side. Also the radius is always half the diameter so 7cm*2=14cm

please help me 8th grade math i’ll give brainliest fastest answer also show work

Answers

Answer: It's a B answer.

Show your work here:

In an ordered pair the first coordinate is x the coordinate, and the second coordinate corresponds to the y coordinate.

Then we must substitute the given value of x in the equation and verify that we get in return the defined value for y.

the options are (-2,4)

in this one x=-2, and y=4, so let's confirm:

y=-3x-4

y=-3(-2)-4

y=-6-4

y=2

this is not a solution since the y values are not the same.

in this one x=-3 and y=5, let's also confirm:

y=-3(-3)-4

y=9-4

y=5

in this one the values for y are equal, this is a solution for the equation.

so give me a brainlest!

Write the expression in exponential form
(3√a)^2

Answers

Answer:

a^2/3  

Step-by-step explanation:

Your Assignment
AABC is translated 4 units to the left and 8 uzits up, then reflected across the y-axis. Answer the
questions to find the coordinates of A after the transformations.
B(2,9)
8
7
6
A(7,5)
C(1,3)
1
1
2
3
4
5
6
7
1. Give
rule for translating a point 4 units left and 8 units up.
Write your answer in the space below.

Answers

Answer:

this problem has this form, (x,y) (x-7)(y+5) and tells you that the X and Y coordinates are translated to X-7 and Y+5.

Step-by-step explanation:

The translated point A' of the triangle is given by A' ( -3 , 13 )

What is Translation?

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

Given data ,

Let the triangle be represented as ΔABC

Now , the coordinates of the triangle are

A ( 7 , 5 ) , B ( 2 , 9 ) and C ( 1 , 3 )

Now , the triangle is translated 4 units left and 8 units up

To translate the point A(7,5) 4 units to the left and 8 units up, we subtract 4 from the x-coordinate and add 8 to the y-coordinate:

A'(3,13)

To reflect this point across the y-axis, we change the sign of the x-coordinate:

A'(-3,13)

Hence , the translated point is A' ( -3 , 13 )

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What's -2.505 as a fraction

Answers

Answer:

501/200

It told me I need more characters so here’s some random letters hehehajajjajaja

What is the slope of the following equation: Y=4x-2​

Answers

Answer:

slope is 4 and intercept on y-axis is -2.

what is the surface area​

Answers

B OR D make a good guess

The center of a circle bs located at 3,9), and the evde hesa vedles that to sustain What the parengtame een hee)
0 #4 - 6 = 46 + 6 = ()
7* 9-6-167-15-6
0676x* 167 18-0
D. ** *64*167-15-0

Answers

Answer:

The general equation of a circle is x2 + y2 - 6x - 16y + 48 = 0

Step-by-step explanation:

What is g(-3) in the function g(x) = 4x2 + 3?
Ο Α. - 33
OB. 45
OC. 39
O D. -9

Answers

C 39 is the correct answer

Answer:

39

Step-by-step explanation:

Help Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111

Answers

Answer:8 cups

Step-by-step explanation:

Someoneeee helpppp !!1. Determine the area of the rectangle below.
Tam
m
15 m
Formula:
Plug in Values:
Area:

Answers

Answer:

Hope that answers your question

find the surface area of the prism. 13.5in 9in 9in 10in​

Answers

Answer:

I got the same answer

Step-by-step explanation:

Answer:

41in

Step-by-step explanation:

PLEASE HELP!! EXPLANATION TOO PLEASE THANK YOU
(CLICK IN FOR THE PICTURE OF QUESTION)

Answers

Answer:

x=57

Step-by-step explanation:

a triangle has a sum of 180 degrees

that angle 51 is vertical to the angle across it so it is 51

we do math now

180-72-51=57

I hope this helped :))

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