If the first term of an A.P is equal to one half of the common difference d, find the eight term of the A. P.

Answers

Answer 1

Step-by-step explanation:

The formula for Arithmatic Series is

[tex]a_n=a_1+(n-1)d[/tex]

where a_1 and a_n are the first and n-th term of the series respectively,

d is the common difference of the series.

Now,

The eigth term is given by,

[tex]a_8=(\frac{d}2)+(8-1)d=\frac{15}{2}d[/tex]


Related Questions

is 5.15 x 6√7 rational or irrational

Answers

Answer:

81,75

Step-by-step explanation:

you will use BODMAD

Which means in case you will divide first the 6 by 7 in division form .after getting the answer you will then multiply the answer by the 5.15.and get the final answer

integers
simplify
17-{19-2(1+3)}

Answers

Answer:

6

Step-by-step explanation:

Use PEMDAS

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

Problem: 17 - {19 - 2(1 + 3)}

Step 1:

17 - {19 - 2(1 + 3)} = 17 - {19 - 2 x 4}

Step 2:

17 - {19 - 2 x 4} = 17 - {19 - 8}

Step 3:

17 - {19 - 8} = 17 - 11

Step 4:

17 - 11 = 6

If this is correct please give me brainliest.

More math for the experts!

Answers

Answer:

-100

Step-by-step explanation:

If there is a larger number that has a negative sign next to it, it is the smallest number

PLEASE HELP PLEASE!!!!!

Answers

Answer:

60x^4y^6

Step-by-step explanation:

(5xy^2)×(12x^3y^4)

=60x^(1+3)y^(2+4)

=60x^4y^6

f(x) = 2x2 – 7x – 6. Find f(6)

Answers

Answer:

hello, your name similarty to my name

Step-by-step explanation:

put 6 from x and to find function

f(6)= 72-42-6=24

Answer: -32
4 -7(6) -6
4 -42 = -38
-38 -6 = -32

please mark brainiest if correct

If y=3x + 5 what is the value of y when x= 12?

Answers

41
bc 3 • 12 is 36 and 36 + 5 = 41

Tìm nghiệm và vẽ đường thẳng biểu diễn tập nghiệm của nó
a 2x+y=6

Answers

Answer:

1111111111111111111111111111111111111111

Step-by-step explanation:

An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 50 ft per sec. The height s of the ball in feet is given by the equation s =-27t2 + 50t+ 6.5, where t is the number of seconds after the ball was thrown
a) what is the initial height of the projectile?
b) what is the maximum height of the projectile? ( round to the nearest foot)
c) after how many second is the ball 12 feet above the moons surface? ( round to the nearest foot)
d) how long will it take for the ball to hit the moons surface?( round to the nearest hundredth)

Answers

Answer:

please answer me binary number multiply 11010 multiply 101

Find the difference of the two squares x2-49

Answers

Answer:

It is (x - 7)(x + 7)

Step-by-step explanation:

[tex] {x}^{2} - 49 \\ = {x}^{2} - {7}^{2} [/tex]

from the "difference of two squares"

[tex]( {a}^{2} - {b}^{2} ) = (a - b)(a + b)[/tex]

take;

a » x

b » 7

substitute:

[tex]( {x}^{2} - {7}^{2} ) = (x - 7)(x + 7)[/tex]

How many solutions are there to the equation below?
14x + 5 = 14x-19
A. 1
B. infinitely many
C. 0

Answers

Answer:

0

Step-by-step explanation:

the slope is the same and the intercepts are different

Use #1-9 to identify each property below.
A. ab?.0=0
B. (7 + 5) + 1 = 7 + (5 + 1)
C. 6 = 6
D. 7(x – 3) = 7x - 21
E. x + (-x) = 0
F. if y = 3, then 3 = y
G. (a + b) + 0 = 0 + (a + b)
H. if x = -1, and -1 = z, then x = 2
I, 4x.1=4r

Answers

Here we need to see which axioms or properties are used in each case.

A: ab²×0 = 0

Here we have a given number (ab²) times zero, and the outcome is zero. This comes from the existence of zero, which states that there must exist a value that represents nothingness, the zero, such that the product between any number and this one is zero.

B: (7 + 5) + 1 = 7 + (5 + 1)

This is the associative property of addition, which says that we can perform the addition in any order we want.

C:  6 = 6

This is the reflexive property of equality, which says that every number is equal to itself.

D: 7(x – 3) = 7x - 21

This is the distributive property, which says that:

C*(A + B) = C*A + C*B

We can see that if we apply it to the left side we get:

7(x - 3)  = 7x - 7*3 = 7x - 21

E:  x + (-x) = 0

This is the existence of the opposite number. This property says that for any real number N there exists a real number A such that:

N + A  = 0

Particularly, in the real set, we can see that A = -N

G: (a + b) + 0 = 0 + (a + b)

Here we can see that the order changes in the addition, this is the commutative property of the addition, which says that:

A + B = B + A

So the elements in the sum can commute.

H: if x = -1, and -1 = z, then x = z

This is the transitive property, we can apply it in the next way:

x = -1 = z

then x = z

So if both variables are equal to the same number, then the variables are equal.

I: 4x×1 = 4x

This is the existence of the identity with respect to multiplication. It says that there exist a number A such that for any number X, the product between A and X is equal to X:

X*A  =X

Particularly, A = 1.

X*1 = X.

If you want to learn more, you can read:

https://brainly.com/question/11232266

Answer:

Step-by-step explanation: I also need help

Which function describes the granh below?

Answers

Answer:

second one Step-by-step explanation:

Mario is 68.5 inches tall. Tyler is 63.25 inches tall. How much taller is Mario than Tyler

Answers

Answer:

5.25inches

Step-by-step explanation:

difference in height = 68.5-63.25 =5.25

Height of Mario Hm = 68.5 inches

Height of Tyler Ht = 63.25 inches

Evidently, Hm > Ht

Now difference = Hm - Ht = 68.5 - 63.25

= 5.25 inches

Answer: Mario is 5.25 inches taller than Tyler.

2(k+ 4) = 3(k-2)
HELP PLEASE

Answers

Answer:

k = 14

Step-by-step explanation:

k = 14 because if you isolatethe variable by dividing each side by factor that dosent contain the variable

Answer:

k=14

I'm pretty sure this is the correct answer hope it helps :)

The length of a rectangle is 2 ft longer than its width.
If the perimeter of the rectangle is 56 ft, find its length and width.

Answers

Hi! I'm happy to help!

To solve this, we first need to look at the perimeter equation:

P=2L+2W

We don't know our length, so we can represent it with x. Since our width is 2 feet shorter than x, we can represent it with x-2. Now, we plug these values into our equation:

56=2x+(2(x-2))

Let's simplify what the width is by multiplying:

56=2x+2x-4

Now, let's combine our 2xs

56=4x-4

Now, we just need to solve for x in order to find our length and width.

First, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides:

56=4x-4

+4      +4

60=4x

Now, all we have to do is divide both sides by 4 and x will be fully isolated:

60=4x

÷4  ÷4

15=x

Now that we know x, let's plug this into our previous equations:

L=x=15

L=15

W=x-2=15-2=13

W=13

To verify our answers, we can plug this into our perimeter equation:

56=2(15)+2(13)

56=30+36

56=56

After double checking our answers, we know that our length is 15 and our width is 13.

I hope this was helpful, keep learning! :D

What’s the answer to this? Please send help

Answers

Answer:

C

Step-by-step explanation:

Giving Brainliest
what is 4(5+2) divided by 2?

Answers

Answer:

[tex] \frac{4(5 + 2)}{2} = \frac{20 + 8}{2} = \frac{28}{2} = 14[/tex]

I hope I helped you^_^


Hello!
Im beginning year 11 this year and I recently did really bad in my Mocks! I really need some help and advice for all of my subjects because I truly dont know how to revise effectively and because I keep Procrastinating!
Any advice would be appreciated or if u have links to videos and helpful websites I would appreciate it
Here are my results :
Maths : 4
Eng Language : 4
Eng Lit : 4
Chemistry : 4
Physics : 3
Biology : 3
RE: 4
Health and Social care : Level 2 Pass
History : 4
Food Tech : 4
Spanish : 4
Thank u!

Answers

Answer:

if you need help with some subjects you can come here in brainly it helps me a lot i just started grad 6 so yeah

like if you have a math question just go to ask question you and someone will help

and also explain so yeah  hope i helped a little

Find the values of a and b that complete the mapping diagram

Answers

Answer:

A=0

B=1

Step-by-step explanation:

Just did it (:

Answer: A = 0, and B = 1.

Step-by-step explanation: I put 0, and 1, and it was the perfect answer.

HELP PLSSSS!!! To _[blank 1) a number, break it up into parts that you can _[blank 2] together to get the original number. If you know one factor of a number, you can find another using _[blank 3] - Match each blank with the option that correctly fills in that blank. - blank1 blank 3 blank 2 :: factor :: division :: multiplication :: divide :: multiply :: factoring​

Answers

Answer:

1. Factor

2. Multiply

3. Division

Step-by-step explanation:

Which of these represents a whole number?
3.2 , 4, 8/4, 4/7

Answers

Answer:

4

Step-by-step explanation:

a whole number is a number with no fraction

4 is a whole number.

What is whole number?

Whole Numbers The numbers contain natural numbers and zero. Not a fraction or decimal. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer.

A whole number exists simply as any positive numeral that does not contain a fractional or decimal part. This indicates that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 exist as all whole numbers. Numbers such as -3, 2.7, or 3 ½ stand not whole numbers.

Hence, 4 is a whole number.

To learn more about whole number refer to:

https://brainly.com/question/585875

#SPJ2

Crsytal and meghan shared a sum of money 8:3 , Crystal received $135 more than Meghan. How much money was shared ?​

Answers

Answer:

$2,295

Step-by-step explanation:

Meghan = x

Crystal = x + 135

[tex] \frac{8}{3} = \frac{x}{x + 135} [/tex]

[tex]8 \times (x + 135) = 3x[/tex]

[tex]8x + 1.080 = 3x[/tex]

[tex]1.080 = x[/tex]

Meghan got $1,080

[tex]1.080 + 135 = 1.215[/tex]

Crystal got $1,215

[tex]1.080 + 1.215 = 2.295[/tex]

$2,295 money was shared.

Write an equation of a line that is perpendicular to the line x - 4y = 12 and passes through the point (2,3)

Answers

Answer:

y = - 4x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x - 4y = 12 ( subtract x from both sides )

- 4y = - x + 12 ( divide terms by - 4 )

y = [tex]\frac{1}{4}[/tex] x - 3 ← in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{4} }[/tex] = - 4 , then

y = - 4x + c ← is the partial equation

To find c substitute 2, 3 ) into the partial equation

3 = - 8 + c ⇒ c = 3 + 8 = 11

y = - 4x + 11 ← equation of perpendicular line

The equation y + 4x = 11 is the equation of a line that is perpendicular to the line x-4y = 12 and passes through the point (2,3).

By rearranging x - 4y = 12 in the form, y = mx + c;

we have; y = (x/4) - 3

The slope, m1 from here is (1/4)

The product of the slopes of two perpendicular lines is;

m1 × m2 = -1

Therefore slope, m2 = -1/(1/4)

Slope, m2 = -4

Therefore, the equation of the line whose slope is -4 and passes through the point (2,3) is;

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

By cross product; we have;

-4x + 8 = y - 3

y + 4x = 11.

Read more;

https://brainly.com/question/13370039

Which of the following describes h(x)=x^5-2x^3+x?
Answer choice is
A. h is an odd function
B. h is neither odd nor even
C. h is an even function

Answers

Answer:

h is an odd funtion

Step-by-step explanation:

this is because h(-x)=h(x)

Answer: A

Step-by-step explanation:

A sum of odd functions is a odd function

Proof:

[tex]h(x)=x^5-2x^3+x\\\\h(-x)= (-x)^5-2(-x)^3+(-x) \\\\=- x^5-2(-x^3)-(-x)\\\\=-(x^5-2x^3+x)\\\\=-h(x)\\\\So\ h(-x)=-h(x):\ the \ function\ h(x) \ is\ odd.\\[/tex]

[tex]\frac{9}{20} + 2\frac{9}{10}[/tex]

Answers

Answer:

3 7/20

Step-by-step explanation:

9/20 + 2 9/10 = 9/20 + 2 18/20

= 2 + 27/20

= 2 + 1 7/20

= 3 7/20

Hello!

Answer

9/20 + 2 9/10 = 67/20

Step-by-step explanation:

1. Calculate:

9/20 + 2 9/10

9/20 + 29/10 (We amplify by 2)

9/20 + 58/20

67/20

Good luck!

A store donates 3% of total sales to a charity. Mr. Winn bought 4 jackets at the store. Each jacket had a price $150. how much did the store donate to charity because of the jackets Mr. Winn bout?

Answers

Answer:

$18

Step-by-step explanation:

3%=0.03

$150*0.03=$4.50

$4.50*4=$18

how many zeros are in the product of any nonzero whole number less than 10 and 500?​

Answers

Answer:

The product of 500 and any of these number will contain 2zeros

If cosine theta equals two over three, what are the values of sin θ and tan θ?

Answers

Answer:

what

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the identity

sin²x + cos²x  = 1 then

sin²x = 1 - cos²x

sin x = ± [tex]\sqrt{1-cos^2x}[/tex]

Given cos θ = [tex]\frac{2}{3}[/tex] , then

sinθ = ± [tex]\sqrt{1-(\frac{2}{3})^2 }[/tex] = ± [tex]\sqrt{1-\frac{4}{9} }[/tex] = ± [tex]\sqrt{\frac{5}{9} }[/tex] = ± [tex]\frac{\sqrt{5} }{3}[/tex]

Also

tanθ = [tex]\frac{sin0}{cos0}[/tex]

       = [tex]\frac{\frac{\sqrt{5} }{3} }{\frac{2}{3} }[/tex]

       = [tex]\frac{\sqrt{5} }{3}[/tex] × [tex]\frac{3}{2}[/tex] = ± [tex]\frac{\sqrt{5} }{2}[/tex]

PLEASE HELP COMPARING RATIOS

Answers

Step-by-step explanation:

lena=45/5=9 laps per min

ann= 40/4=10 laps per min

Carmen=56/8= 7 laps per min

the fastest = ANN

The difference between 7 and -14.
Numerical expression

Answers

Answer:

7-(-14)

7+14=21

Step-by-step explanation:

- and -  = +

Other Questions
why is saline soil a problem Choose the most appropriate response to the following question.Il fait trs dans le dsert d'ArizonaO secO humideO froidO neige Completa la demostracin:si los ngulos adyacentes a una base de un trapecio son congruentes entonces el trapecio es issceles.Dado:ngulo ABE congruente con DCE,Demostrar:AB paralelo a DC The rights to vote, petition, and assembly are all examples of which type of citizens rights?A.educationalB.politicalC.personalD.economic help pls answer or im reporting:)) 40 POINTS !!!!In this course, well begin to explore opposite function types. For example, think about a quadratic function and its key features. What key features do you think its opposite function will have? Why? the cost of a copy is 5 and 3 upin 4 and that of a book is 15 and 5 upon 6. which costs more and by how much? PLEASE ANSWER QUICK 70 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!Identify the property that justifies each step asked about in the answer area below.Line 1: (9+x)xLine 2: x(9+x)Line 3: x(x+9) Given (x 1)2 = 50, select the values of x.x=-49x=51x=1+5sqrt{2}x=1-5sqrt{2} Using the venn diagram, determine the similarities and differences between analytical chemistry and chemical analysis Write True for correct statements and False for incorrect statements a. We should not lend goods to our neighbours. Fill in the blank with use, used to, be used to, or be used for I often.this pen to write my lessons A line passes through the point (-4,6) and has a slope of 5/4 Plzz helpp.......... Please help me ! hurry !Which of the following statements about sentences is true ?A. The english language generally follows a VOS sentence pattern B There are four basic , common patterns forearming a declarative sentence C. There are only two sentence pattern you can use to ask a question D. There is only one correct pattern for any given sentence to follow List signs and symptoms of respiratory and cardiac distress plants can change the main product of photosynthesis into other substances. Name two of these substances and describe the function of each Which statement best summarizes "Save the Coral Reefs?Coral reefs are a very important component of the oceans ecosystem because they support sea life, such as crabs and sea turtles. In fact, over four thousand species depend on the survival of the reefs, which are being destroyed by bleaching. More must be done immediately to save the reefs. PLEASE HELP!!!What do maps and globes help us understand in geography Which point is located at -0.905?.H-0.9HHH-0.8-1Choose 1 answer:APoint AB.Point BPoint CPoint D