A equation for the ninth term of a arithmetic sequence who seventh term is 21 and common difference of 5

Answers

Answer 1

Answer:

[tex]9th=31[/tex]

Step-by-step explanation:

From the question we are told that:

Seventh term [tex]7th= 21[/tex]

Common difference [tex]d= 5[/tex]

Generally Equation for seventh term

[tex]7th=a+(7-1)d[/tex]

Therefore the  First Term is given as

[tex]a=7th-(7-1)d[/tex]

[tex]a=21-6*5\\a=-9[/tex]

Generally the equation for 9th term is mathematically given by

[tex]9th=a+8d[/tex]

[tex]9th=-9+8(5)[/tex]

[tex]9th=31[/tex]


Related Questions

Nick has an album that holds 800 coins each page of the album holds eight coins is 82% of the album is empty how many pages are filled with coins

Answers

Answer:

18 Pages are filled with photos because you do 800÷8 and you get 100 coins then since it says 82% of the album is empty since the album has 100 coins it makes it easy and you subtract 82 from 100 therefore you get 18 coins that are filled

Step-by-step explanation:

Because you do 800÷8 and you get 100 coins then since it says 82% of the album is empty since the album has 100 coins it makes it easy and you subtract 82 from 100 therefore you get 18 coins that are filled

You walk 1/4 miles to a grocery store. Then you walk another 1/5 miles to a clothing store. How many miles have you walked in all?

Answers

Answer:

3/4 of a mile

Step-by-step explanation:

.5+.25=.75

Find the area of a regular Heptagon with a side length of 7?

Answers

Answer:

[tex]seven \: sides \\ area = (7 \times 7) \\ = 49 \: sq \: units[/tex]

Write an equation that represents the line

Answers

I don’t know if you want both but I’m going to give you both.

(0,2) and (4,3)

A diagonal of a cube goes from one of the cube's top corners to the opposite corner of the base of the cube, Find the length of a diagonal d in a cube that has an edge of length 10 meters. ​

Answers

d = 17.3 m

Step-by-step explanation:

We can extend Pythagorean theorem to 3 dimensions by writing

[tex] {d}^{2} = {x}^{2} + {y}^{2} + {z}^{2} [/tex]

or

[tex]d = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } [/tex]

Since we are dealing with a cube of side 10 m, then

x = y = z = 10 m

so we get

[tex]d = \sqrt{ {10}^{2} + {10}^{2} + {10}^{2} } [/tex]

or

[tex]d = \sqrt{3 \times {10}^{2} } = 10 \sqrt{3} \: m[/tex]

This becomes

d = 17.3 m

In triangle ABC, A = 38° and B = C. Find B.
A)71
B)26
C)142

Answers

Answer:

A) because b=c it is an equlateral triangle.

The interior Angles of a triangle is always equal to 180 .

Therefore 180-38 =142

because B=C

142÷2 =71

What are the zeros and x-intercepts of this quadratic function?
y
Select two answers: one for the zeros and one for the x-intercepts.
A. x-Intercepts: (-3,0) and (2.0)
B. X-Intercepts: (0, -3) and (0,2)
C. Zeros: -3 and 2

Answers

A and C

Zero and x-intercept are kind of the same thing

The answer is ⇒C. Zeros: -3 and 2

A. x-intercepts: (-3,0) and (2,0).

What are zeros & x-intercepts of quadratic function?

The zero of the function is where the y-value is zero.

The x-intercept is where the graph crosses the x-axis.

Here, in graph we have,

at (-3,0) and ( 2,0) the quadratic crosses the x-axis.

And, at -3 & 2  the value of y is zero.

Hence, the answer is ⇒C. Zeros: -3 and 2

A. x-intercepts: (-3,0) and (2,0).

To learn more on zeros & x-intercepts of quadratic function click:

https://brainly.com/question/28822774

#SPJ2

HELP ME WITH THIS ILL MAEK U THE BRAINLIEST

Answers

Answer:

Maria answers 85% of the questions correctly

Step-by-step explanation:

Maria had a test with 20 questions

if 17 are correct,

20 questions : 100%

17 questions : ?%

she  was 85% right

hope this helps :)

Answer:

E. 85%

Step-by-step explanation:

Total Answers: 17 + 3 = 20

Maria answered 17 questions correctly

(17 ÷ 20)×100 = 85%

What is parallel to y=-5+4.2x

Answers

Any line that has the same slope as the given equation , 4.2

if each square on the grid represents 400mi square how many miles will jacob's family travel?

Answers

Answer:

80miles

Step-by-step explanation:

Area of a square grid = L²

L is the side length of the grid

Given that Area of the square = 400mi square

400 = L²

L =√400

L = 20miles

To get the number of miles travelled, we will find its perimeter

P = 4L

P = 4(20)

P = 80miles

Hence Jacob's family travels 80miles


Which expression is equivalent to ((4^(5/4)x4^(1/4))/4^1/2)^1/2
?
^16sqrt4^5
Sqrt2^5
2
4

Answers

Answer:

2

Step-by-step explanation:

add 5/4 and 1/4 to get 6/4 or 3/2

(4^3/2 ÷ 4^1/2)^1/2 = 4^3/4 ÷ 4^1/4

4^3/4 ÷ 4^1/4 = 4^2/4 or 4^1/2

4^1/2 is the square root of 4, which is 2

Answer:

2

Step-by-step explanation:

In first step use the product rule of exponents .

so exponents going to add up.

Then in the second step simplified exponents.

After that Its division rule of exponents. and according to division to the exponents get subtracted.

In the end he would be left with four to the power half. which means square root of 4. which is 2.

Pleaseee HELP ASAP !!!

Answers

Your answer is going to be b

Answer:

A: (x-5.5)^2 + (y-4)^2=12.25

Step-by-step explanation:

16.
Which of the following are the coordinates of the vertex of y= 3x2 + 3?

A. (3, 0)

B. (0, 3)

C. (–3, –3)

D. (3, 3)

Answers

Answer:

D

Step-by-step explanation:

is the correct answer i believe.

Answer:

B. 0,3

Step-by-step explanation:

I took the test and checked the answer, 0,3 is correct.

someone help tysm will give brainliest !!

Answers

Answer:

11. A) x = 2 .    B) x=-1 .   C) x = 0

12. A) y = 20 . C) y = -3 . D) y = 0

Step-by-step explanation:

When the line is vertical, take the x coordinate

When the line is horizontal, take the y coordinate

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

please help find x!!

Answers

Answer:

X= 360- (180+35)

X= 145

Step-by-step explanation:

since angle at a point is same as angle in a circle =360°

And we've being given two values out of three that makes up the point. so we subtract the sum of the two values from the size of angle at a point

An aquarium holds 11.81 cubic feet of water, and is 2.8 feet long and 1.7 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

2ft

Step-by-step explanation:

Depth = volume / ( length x width)

11.81 / (2.8 x 1.7)

11.81 / 4.76

depth = 2.48

2 ft (to the nearest whole number)

Suppose the 100 people in society X all know the same 10 facts, while the 10 people in society Z specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, which society has a higher standard of living

Answers

Answer:

29 times

Step-by-step explanation:

Given :

Society X ;

Population = 100

Number of facts known = 10

Average fact known per person = known fact / population = 10 / 100 = 0.1

Society X:

Population = 19

Common fact known by 9 = 5

Specialized fact, known by 10 = 5 * 10 = 50

Total facts = common + specialized = 55

Average fact known per person = 55 / 19 = 2.8947368 fact per person

Number of times society Z is better :

2.8947368 / 0.1 = 28.947 times

Approximately 29 times

- Javid bought 3 pairs of Nike Jordan True Flight sneakers
for $127.59 each. He sold 2 pairs of the shoes at a 28%
markup and the third pair for a 52% increase. What did
he sell each pair of shoes for?

- Harris wanted to purchase a pair of Reebok Liquid Speed sneakers for
$190. The price of the sneakers decreased 10% in value each of the next 2 weeks. Harris said that the shoes were 20% less than their original value after 2
weeks. Is Harris correct?

Please help me with these two. I will mark you as brainly

Answers

I’m not surevhcxjjbvcvhhccc

help meee it's pythagorean theorem, just need answers plsssssss

Answers

Answer:

Hi, there your answer is C or D and the second page is C

Step-by-step explanation:

Please help if you can!

Answers

Answer:

D: 78 ft2    

Step-by-step explanation:

6x13=78

Answer:

Rectangle

Result

Area = l × w

= 13 × 6

= 78 feet2

Step-by-step explanation:

#Brainliestbunch

The sum of a number is
4 less then 2 times a
number is 35 what is the number?

Answers

Answer:

21.5

Step-by-step explanation:35 divided by 2 = 17.517.5 + 4 = 21.5Just do the inverse

Suppose that your statistics professor tells you that the scores on a midterm exam were approximately
normally distributed with a mean of 78 and a standard deviation of 7. The top 15% of all scores have
been designated A’s. Your score is 89. Did you earn an A? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

z-score representing 85% is 1.04 (from table)

Let x be the score representing the lower limit of 85%.

Use the formula to find z-scores:

z = (x - μ)/σ

We have:

z = 1.04, μ = 78, σ = 7

Substitute the values and solve for x:

1.04 = (x - 78)/7x - 78 = 7.28x = 85.28

The lower limit of the top 15% is 85.28.

Since your score is greater than 85.28 you earned an A

Evaluate expression- Which of these answer choices are correct answer to the question

Answers

Answer:

i=10^5

eq is 2^n*i

hence 2^3*10^5

8*100000

=800.000 bacteria

pls mark as brainliest

A hotel room is originally priced at $159.00 per night during the week (Monday-Thursday). On weekends (Friday - Sunday), the price increases by 12%. What is the price of a hotel room on a Saturday night?

Answers

I’m not sure but $19.08

please help confused tyy​

Answers

d=9

You want to set the angles equal to 90°
So it would look like this

(6d+8)+(3x+1)=90

then you would solve

Hope this helps ;)
Answer: d=9

(3d+1)+(6d+8)=90
3d+1+6d+8=90
9d+9=90
-9 -9
9d=81
divide by 9 on both sides
d=9

Explanation: In order to solve for d, you will need to remove the parentheses, then combine like variables. Then, subtract 9 from both sides. Finally, divide by 9 on both sides. You should get d=9.

what additional information is needed to prove the triangles congruent by AAS

Answers

Answer:

pq=su

Step-by-step explanation:

its the only one that makes sense

True or false question. In Standard form, the number 3.5 *10^4 is 3,500.

Answers

Answer: False

Step-by-step explanation:

10^4=10000. 10000*3,5=35000.

Answer:

No, you missed a zero.

Step-by-step explanation:

In the given case, as we have the number as  

3.5 × 10^4, we need to move decimal digit to the right by three points. For this, let us write 3.5 as 3.50000 and moving decimal point four points to right means  

35000.0

Hence in standard notation  

3.5 × 10^4=35,000

Help, please. I really need help one this

Answers

Answer:

2#) 20f+15-2f

18f+15

2#) choose 1

3#)60-3h-9

51-3h —> 3(17-h)

3#)choose 1

4#) 4(5x+3y)

20x+12y

4#)choose 4

5#) r+3r+ _=6r

6r-4r= 2r

5#)choose 4

Only point (1 ) I didn't know I'm sorry

14cm and 31cm and 34cm equal

Answers

Answer:

if its addition then it will be 79cm

1. Find the value of x and round to the nearest tenth
2. Find the value of y and round to the nearest tenth.

Answers

Answer :

Measure of x :

[tex]\longrightarrow4 \sqrt{5} \: \: units[/tex]

Measure of y :

[tex]\longrightarrow8 \sqrt{5} \: \: units[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: \: it \: \: helps }}{\orange{....}}}}}[/tex]

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