If the fifth term of an arithmetic sequence is 11 and the common difference is​ 4, then the sixth term of the sequence is​ _______.

Answers

Answer 1

Answer:

15

Step-by-step explanation:

11+4=15

Answer 2

The sixth term of an arithmetic sequence with fifth and common difference of 11 and 4 respectively is 15

Arithmetic sequence formula

aₙ = a + (n - 1)d

where

a = first termd = common differencen = number of terms

Therefore,

11 = a + 4d

d = 4

Hence,

11 = a + 4(4)

11 = a + 16

a = 11 - 16

a = -5

Therefore, the sixth term is as follows

a + 5d = a₆

-5 + 5(4) = a₆

a₆ = -5 + 20

a₆ = 15

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Related Questions

Pls, help me with this math question

Answers

Answer:

Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units.  Area 12 square units.

Step-by-step explanation:

Perimeter: total distance around the figure.

Distance Formula:  the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]

[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]

The perimeter is the sum of all those segment lengths.

One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area.  (See attached image.)

The area of the large rectangle around the figure is 5 x 4 = 20 square units.

The triangles have areas 1/2 (base) (height):

A. (1/2)(1)(4) = 2 square units

B. (1/2)(3)(1) = 1.5 square units

D. (1/2)(1)(2) = 1 square unit

E. (1/2)(5)(1) = 2.5 square units

Square C.  (1)(1) = 1 square unit

Total of all the area you don't want to include:

2 + 1.5 + 1 + 2.5 + 1 = 8 square units

Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.

HELPPPPPPP PLZZZZZZZZ

Answers

Answer:

azesrdftgyuh

Step-by-step explanation:

dxcfvghbj

top is x> 2.5

bottom is x<2.5

brainly me

0.246446 to the nearest hundredth is?

Answers

Answer:

.25

Step-by-step explanation:

hundredth's is the second place over so you look the the 3rd number. 4 or less it stays the same 5 or more you add one

hi can someone check my answer bc i really dont think its right

heres the question, theres and image attached as well!

Answers

Answer:

19329, you are correct

Step-by-step explanation:

Volume = [tex]\pi * r^{2} * h[/tex]

Volume = [tex]3.14 * (18)^{2} *19[/tex]

Volume= 19329.84

not rounded= 19329

A rectangle has coordinates (2, 6) (9, 6) (9, 10) and (2, 10) on a grid with 1 cm squares. What is the area of the shaded rectangle?

Answers

Answer:

Area of Rectangle = 28 cm²

Step-by-step explanation:

Given - A rectangle has coordinates (2, 6) (9, 6) (9, 10) and (2, 10) on a grid with 1 cm squares.

To find - What is the area of the shaded rectangle?

Solution -

The graph of the rectangle is as follows :

From the diagram, e can see that

Length of Rectangle = 7 units (cm)

Breadth of Rectangle = 4 units (cm)

We know that,

Area of Rectangle = Length × Breadth

                              = 7 × 4

                              = 28 cm²

Area of Rectangle = 28 cm²

How many reflectional symmetries does this figure have?

Enter your answer in the box.

_ reflectional symmetries


How many rational symmetries does this figure have?

Enter your answer in the box.

_ rotational symmetries

Answers

Answer:

1 & 1

Step-by-step explanation:

Find the area of the given regular polygon
Round your answer to the nearest tenth, if necessary.
A. 221.7
B. 665.1
C. 280.6
D. 2660.4

Answers

Answer:

A.221.7

Step-by-step explanation:

god bless

[tex]a[/tex]

All dimensions of a cylinder are multiplied by 1.5. Which statement is true?

A. The total surface area is multiplied by 3.375.
The volume is multiplied by 2.25.

B. The total surface area is multiplied by 2.25.
The volume is multiplied by 3.375.

C. The total surface area is multiplied by 3.
The volume is multiplied by 4.5.

D. The total surface area is multiplied by 4.5.
The volume is multiplied by 3.

Answers

Answer:

The true statement is;

B. The total surface area is multiplied by 2.25

The volume is multiplied by 3.375

Step-by-step explanation:

By scale drawing proportionality, we have;

The amount by which all the dimensions of the cylinder are multiplied to create an image of the cylinder = 1.5

∴ The scale factor between the original cylinder and the image of the cylinder, S.F. = 1.5

By rule, we have;

The area factor of the surface area = S.F.² = 1.5² = 2.25

Therefore;

The total surface area of the original cylinder is multiplied by 2.25 to get the total surface area of the image of the cylinder

By rule, we have;

The volume factor = S.F.³ = 1.5³ = 3.375

Therefore;

The volume of the original cylinder is multiplied by 3.375 to find the volume of the image of the cylinder.

Answer:

B

Step-by-step explanation:

Jonas received a gift card of $35.00 to use for an online App Market to buy applications for his tablet. All Apps cost $1.75. Which table represents the relationship between x, the number of Apps Jonas can buy, and y, the balance remaining on his gift card.​

Answers

Answer:

A)

Step-by-step explanation:

The starting balance is $35

after one game purchase, the balance is 35-1.75=33.25

after two game purchases, the balance is 35-(1.75*2)=31.50

help please I’ll mark brainliest

Answers

Answer:

a. east

b. 60 feet per second

Step-by-step explanation:

did this a while ago.

a. -180 is east, 120 is east. the car is traveling east because it is moving positive. read the last sentence of the description.

b. to calculate velocity you do time times position. in this case position is 60 and time is 1 so 60*1 is 60. so it is 60 feet per second.

Tomorrow the last day of school how ya feel?
-franz:)

Answers

Answer:

Ours is today. Feels weird how we came a long way with the pandemic presiding our academic studies.

Step-by-step explanation:

the radius of the circle is 9 meters what is the circles circumfrence

Answers

Answer:

c = 18π    exact answer

c = 56.52   decimal approximation

Step-by-step explanation:

c = 2πr

c = 2π * 9

c = 18π    exact answer

Using 3.14 for π

c = 18 * 3.14

c = 56.52   decimal approximation

3x(5 - x)
Someone plssssss

Answers

Answer:

-3x^2+15x

Step-by-step explanation:

3x(5-x)

3x(-x+5)

-3x^2+15x

What is the range of the function shown in the graph below?

Answers

Answer:

y= -3/2X + 2

Step-by-step explanation:

we get the gradient by picking any two points from the graph( it a linear graph)

using the point:

(x,y)= (-2,5) , (4,-4)

using M= (y2-y1)/x2-x1)

we get our gradient to be -9/6 which is

-3/2

using the equation of a straight line graph which is

y-y1=m(x-x1) and the point (4,-4)

we get

y-(-4)=-3/2(x-4)

----> y+4= -3/2x + 6

make y subject of the formula to take the form

y=mx+c

we get :

y=-3/2x + 2

Can someone plz help me plz I beg u plz

Answers

Answer:

A.... X=3

Step-by-step explanation:

The answer is 3
X = 3 cuz 3x3 is 9 which would be equal to the other side when you add it with the other 2 blocks

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

3 might be right to your answer!

PLZ HELP!!!
if p = -1,-1 find the image of p under the following rotation 270 counterclockwise

Answers

The image of p is (-1, 1)
Because the rule for 270 counterclockwise is (y,-x)

Answer: -1, 1

Step-by-step explanation:

The other answer is valid.

Please I need help ASAP! I don't know any of the answers. For the second question, I accidentally clicked on it.

Answers

PART A :
A,B,C,D
Because if the spinner was spinning on time it would have either landed on any of the given parts a,b,c,d once
PART B:
A and B
They are equally likely to occur because both of them have a portion of 90 degrees.
Hopefully my answer helped :)


Each envelope in the class contains the same number of triangles and quadrilaterals. Write an expression that
represents the total number of sides in the room.

Answers

Answer: 3t+4q.

Step-by-step explanation: Triangles have 3 sides, so there will be 3 sides for each triangle in the envelope. This is represented by 3t. Quadrilaterals have 4 sides, so there will be 4 sides for each quadrilateral in the envelope. This is represented by 4q. The total number of sides will be the number of triangle sides and the number of quadrilateral sides together.

What is AC? ACB is right angle triangle. Side AB is 37 and BC is 35.

Answers

Answer:

The answer is 12

Step-by-step explanation:

If you would like you could use this tool https://www.omnicalculator.com/math/right-triangle-side-angle

Also 12, 35, 37 is a pythagorean triple further proving that tyheanswer is 12.

g + 19 = 38
Explain how to get the answer pls!

Answers

In order to find out what g is equal too,u must subtract 19 from both sides of the equation to get

g +19-19=38-19

the nineteens cancel out getting

g=38 -19

g=19

g+19=38
38-19 =19
19+19=38
g=19

7 1/2 divided by 3/4 =

Help please ;-;

Answers

The answer would be 10 because when you divide 7.5 by .75 it goes in 10 times

Answer:

10

Step-by-step explanation:

convert mixed number into improper fraction

15/2÷3/4

to divide by a fraction multiply by the reciprocal of that fraction

15/2×4/3

reduce the numbers with the greatest common factor 3

5/2×4

reduce the numbers with the greatest common factor 2

multiply the numbers

5×2=10

10 is your answer

Determine the y-intercept of the function f(x) = x^4 + 3x^3 -2x + 7. PLEASE HELP ASAP!!

Answers

Answer:

D

Step-by-step explanation:

all answers are x = 0. If we put 0 instead of X.

y=0^4+3×0^3-2×0+7

y=0+0+0+7

y=7

can i have help please i don't know the answer

Answers

Answer: 1.75=5n

Step-by-step explanation:

1.75 is being divided by n 5 times

A: 7x - 3x +10
B:+4x²+66-4
A-B=

Answers

Answer:

A-B=7x-3x+10-4x²-66+44x-52-4x²

hope it helps

stay safe healthy and happy.

HELP ASAP!! WILL MARK U AS BRAINLIEST!!

Answers

Answer:

a Answers is A

b Answer is D

Step-by-step explanation:

he sayed that the X doubles in the first one so its ×2

and in the second one he sayed that the x is only triples so we dont have to Multiply we have to devide it 5/x/3=5/x ×1/3

jada and diego are practing the piano for sn upcoming rehersal the table list the number of minutes each of them practiced in the past few weeks jadas practice time 10 10 20 15 25 25 8 15 20 20 35 25 40. Diegos practice time 25 10 15 30 15 20 20 25 30 45. plz help​

Answers

Answer:

jadas practice time is 168 minutes or 2 hours 48 minutes.  Diegos practice time is 235 minutes or 3 hours 55minutes hope this helps! have a nice day and good luck with your test!

Step-by-step explanation:

An arborist examined trees in an orchard to see if they were infected with a virus. The arborist counted 7 infected trees and 43 healthy trees. What percentage of the trees in the orchard were infected?

Answers

Answer: Percentage of infected trees =2%

Step-by-step explanation:

Number of Infected trees =7

Number of healthy trees=43

Total number of trees in the orchard=43+7=50

Percentage of infected trees =Number of Infected trees/Total number of tress in the orchard x 100

7/50 x 100 =2%

Ravi and Hasan bought 13⁄4 of pies , Ravi ate 1/3 and Hasan ate 2/3 of it
. How much pie is left?

Answers

Answer:

The final answer is 0

Step-by-step explanation:

1/3 + 2/3 = 1 which means Ravi and Hasan ate the whole thing

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)2 = 19

Answers

Answer:

Take the square root of each side of the equation to set up the solution for

x

(

3

x

5

)

2

1

2

=

±

19

Remove the perfect root factor

3

x

5

under the radical to solve for

x

.

3

x

5

=

±

19

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

x

=

19

3

+

5

3

,

19

3

+

5

3

The result can be shown in multiple forms.

Exact Form:

x

=

19

3

+

5

3

,

19

3

+

5

3

Decimal Form:

x

=

3.11963298

,

0.21370035

The solutions of the of the equation are,

⇒ x = 3.12

⇒ x = 0.21

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ (3x - 5)² = 19

Now,

We can simplify the expression for the solutions as;

⇒ (3x - 5)² = 19

Take square root both side,

⇒ √(3x - 5)² = √19

⇒ (3x - 5) = √19

Add 5 both side,

⇒ 3x - 5 + 5 = √19 + 5

⇒ 3x = √19 + 5

⇒ 3x = ± 4.36 + 5

⇒ 3x = 4.56 + 5

⇒ 3x = 9.36

Divide by 3;

⇒ x = 9.36 / 3

⇒ x = 3.12

And, 3x = - 4.56 + 5

3x = 0.64

x = 0.64/3

x = 0.21

Thus, The solutions of the of the equation are,

⇒ x = 3.12

⇒ x = 0.21

Learn more about the mathematical expression visit:

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