If a2 = 5 and a8 = 35, what is the value of a30?

Answers

Answer 1

Answer:

a(30) = 145

Step-by-step explanation:

a(n) = a(1) + (n-1)d

d = 5

a(30) = 0 + (30-1)5

a(30) = 0 + (29)5

a(30) = 0 + 145

a(30) = 145

Answer 2

Using the concept of arithmetic sequence, the value of a30, which is the 30th term of the sequence is 145

The common difference, d = 35 / 7 = 5

The nth term of an arithmetic sequence is obtained using the relation :

A(n) = a1 + (n - 1)d

a1 = first term

a1 = a2 - d = 5 - 5 = 0

Hence,

A(30) = 0 + (30 - 1)5

A(30) = 0 + 29(5)

A(30) = 145

Therefore, the value of the 30th term of the sequence is 145.

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Related Questions

Round 35,124 nearest ten thousands

Answers

Answer:

40,000

Step-by-step explanation:

because of the 5 in the thousands place means were rounding up

Rita's class has 14 girls and 16 boys. How does the ratio 14 : 30 describe Rita's class?

Answers

Answer:

14: 16 is the ratio of girls to boys

And the ratio 14:30 is the ratio of girls to the total of students

Step-by-step explanation:

yolandaa sunflower is 12 centimeters more than jean sunflower yolanda sunflower is 75 centimeters tall. how tall is jeans sunflower?

Answers

Answer:

63 centimeters

Step-by-step explanation:

Answer: 63 cm tall.

Step-by-step explanation: Yolanda's sunflower is 12 cm more than Jean's sunflower. Yolanda's sunflower is 75cm. To find Jean's sunflower's size in cm simply subtract 12 cm from 75 cm.

75 = 12 = 63

So, Jean's sunflower is 63 centimeters tall.

What is the solution?

Answers

Answer:

1)x=13-15 => x=-2

2)-6x=-30 => x=5

3)x/4=18 => x=72

4)x-2=-11 => x=9

Step-by-step explanation:

1 1/4 times 2/5 divided by 3 1/3

Answers

1.5 or 1 1/2 or 1 2/4. You get the point

A builder is building 5 new homes. Each home has a foyer measuring 9 feet by 18 feet. Laminate flooring for each foyer costs $26.91 per square yard. What is the cost of the laminate floors for the foyers in all 5 homes?

Answers

Answer: $2421.90

Step-by-step explanation:

Since a yard is 3 feet, we can say the foyer is 3 yards by 6 yards (9 feet is 3 yards and 18 feet is 6). The area of a square is x*y, so the area of each floor is 3*6 = 18 square yards. Since there are 5 homes, there are 5 * 18 = 90 total square yards to laminate. That means that the total cost is 90 * 26.91 = $2421.90.

The total cost for the foyer for the 5 homes is $ 2421.9.            

Given that,

A builder is building 5 new homes. Each home has a foyer measuring 9 feet by 18 feet. Laminate flooring for each foyer costs $26.91 per square yard. What is the cost of the laminate floors for the foyers in all 5 homes is to be determined.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,
1 yard = 3 feet
Now
The measure of foyer = 9 feet x 18 feet = 9 /3 yard x 18 / 3 yard.
Area of the foyer = 3 x 6
                            = 18-yard square
Area of the  foyer of 5 homes = 5 * 18
                                                  = 90-yard square,

The total cost of a foyer for 5 homes = 90 * 26.91
                                                    = $2,421.9


Thus, the total cost for the foyer for the 5 homes is $ 2421.9.

Learn more about arithmetic here:

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How is this number read out loud 0.034

Answers

Answer:

0.034

Step-by-step explanation:

thirty-four thousandths

or

zero point zero three four

Which of the following Supreme Court justices served as the chief justice of the Court?
A. Justice Steven Breyer
B. Justice Antonin Scalia
C. Justice John Roberts
D. Justice Sonya Sotomayor

Answers

Answer:

the answers not B THE ANSWER IS C

Step-by-step explanation:

C. Justice John Roberts On September 5, 2005, President George W. Bush announced that he would nominate Judge John Roberts for the position of Chief Justice of the Supreme Court of the United States, to succeed William H. Rehnquist, who had died two days earlier.

Answer:

C

Step-by-step explanation:

yep

what is 4 fourths of a dollar

Answers

Answer: The answer is 25%

Step-by-step explanation:


State the size of angle OAB, giving a reason for your answer

Answers

Answer:

Angle OAB = 90°

Reason: tangent theorem of a circle

Step-by-step explanation:

The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.

The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.

Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.

Therefore, angle OAB = 90°

Solve the equation for the specified variable

S=gr-5gk*3, for g

Answers

Answer:

[tex]g = \sqrt{\frac{S}{3kr^{-5}}}[/tex]

Step-by-step explanation:

Given

[tex]S=gr^{-5}gk*3[/tex]

Required

Solve for g

[tex]S=gr^{-5}gk*3[/tex]

Split into different entities

[tex]S=g * r^{-5}*g*k*3[/tex]

Reorder in terms of like terms

[tex]S=g*g * r^{-5}*k*3[/tex]

[tex]S=g^2 * r^{-5}*k*3[/tex]

[tex]S=g^2 * 3kr^{-5}[/tex]

Solve for [tex]g^2[/tex]

[tex]g^2 = \frac{S}{3kr^{-5}}[/tex]

Take square root of both sides

[tex]g = \sqrt{\frac{S}{3kr^{-5}}}[/tex]

22/44 rational or irrational?

Answers

rational. 22/44 can be simplefied to 1/2 and 1/2 is rational.

Answer:

RATIONAL NUMBER

Step-by-step explanation:

22/44=2/4

IT IS IN THE SIMPLEST FORM AND IN THE FORM OF P/Q where as q is not equal to 0.

What is non-collinear?

Answers

Answer:

Non-colinear means that three given points do not have a single line connecting all 3 of the points.

On a number line, which number is 7/9 of the way from -6 to 3

Answers

Answer:

1?

Step-by-step explanation:

if you go from -6 to 3 it is 9 spaces. so 7 spaces equals one.

Given C=n+15, determine the value of C when n=4

Answers

Answer:

19

Step-by-step explanation:

If N=4 and the problem is C= N+15 that means you add 4 to 15 and then get 19 which will be your answer for C. You can also check this by subtracting 19-15 or 19-4!!! I hope this helps!!! Have a great day whom ever you are

Yesterday, between noon and midnight, the temperature decreased by 27.2°F. If the temperature was -8.6°F at midnight, what was it at noon? *

Answers

the temperature at noon was 18.6 °F

Ashley's Internet service is terribly unreliable. In fact, on any given day, there is a 25 % chance that her Internet connection will be lost
at some point that day. What is the probability that her Internet service is not broken for five days in a row? Enter a fraction or round
your answer to 4 decimal places, if necessary.

Answers

Answer:

The probability that her internet service will not be broken for five days in a row is 243/1024

Step-by-step explanation:

Here, we want to calculate the probability that her internet service is not broken for five days in a row

Let the event that her internet will be broken be B and the event that her internet will not be broken be N

P(B ) = 25% = 0.25

P(N) = 1-0.25 = 0.75 = 3/4

Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)

= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024

36599 round to the nearest thousand

Answers

Answer:

If you round to the nearest thousand, you get; 37,000                                                                            

37,000 if it ends with a number between 5-9 you need to round it up. If it ends with a number 0-4 round it down

how far should galileo walk up the inclided plane

Answers

we are given
angle =12 degree
so,
height is 100m
so,
we need to find length of inclined path
so, we have to find hypotenuse
Let's assume
hypotenuse =x
so, we can use trig

and we can solve for x


So, the length of inclined path is 480.973.

Answer:

i actually dont know the answer im sorry but i will keep trying to find the answerr

Find the sum of the squared residuals for each potential line of fit, and then determine which potential line is the true line of best fit. Equation 1 Square of residual .28 .167 .19 Equation 2 Square of residual .005 .110 .09 Equation 3 Square of residual .125 .125 .26 Equation 4 Square of residual .212 .009 .08 Question 8 options: Equation 4 Equation 1 Equation 3 Equation 2

Answers

Answer: Equation 2

Step-by-step explanation:

Equation 1 Square of residual .28 .167 .19

Sum of Square Residual :

( .28 + .167 + .19) = 0.637

Equation 2 Square of residual .005 .110 .09

Sum of Square Residual :

(.005 + .110 + .09) = 0.205

Equation 3 Square of residual .125 .125 .26

Sum of Square Residual :

( .125 + .125 + .26) = 0.51

Equation 4 Square of residual .212 .009 .08

Sum of Square Residual :

( .212 + .009 + .08) = 0.301

Equation 2 is the best potential line of best fit as it has lowest value of sum of square residual. And the best line of fit is one which the sum of Squared error is lowest.

Help!!to show your work!!

Answers

Y=-1/2x-7
Explanation:
-4y= 2x+28
Y=-1/2x-7

A scuba driver was swimming at an elevation of -8 meters. A shark was swimming at an elevation of -29 meters. Find the difference between these two elevations.

Answers

Answer:

-21

-29-(-8)=-21

What is estimation? When is it helpful to use estimation?

Answers

Answer:

Estimation is the process of arriving at an approximate answer to a question. It is helpful to use estimation when you need to calculate something fast or the data/information your given is uncertain or unstable  

Step-by-step explanation:

74.052 using expanded form with fractions and expanded form with decimals

Answers

Answer:

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

[tex]74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]

Step-by-step explanation:

Given

74.052

Required

Write in Expanded Form

In Decimals

[tex]7 = 7 * 10[/tex]

[tex]4 = 4 * 1[/tex]

[tex]0 = 0 * 0.1[/tex]

[tex]5 = 5 * 0.01[/tex]

[tex]2 = 2 * 0.001[/tex]

Bring these together,

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

In Fraction

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

Convert decimals to fraction

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * \frac{1}{10} + 5 * \frac{1}{100} + 2 * \frac{1}{1000}[/tex]

[tex]74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]

For her phone service, Rita pays a monthly fee of $17, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $83.90.

What are the possible numbers of minutes she has used her phone in a month?

Use M for the number of minutes, and solve your inequality for M.​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Monthly fee = $17

Additional fee per unit of use = $0.05

Least amount she's been charged in a month = $83.90

Equation to represent the number of minutes 'M':

monthly fee + (additional fee per minute × M) = $83.90

Possible number of minutes :

83.90 ≤ $17 + 0.05M

$17 + $0.05 × M = $83.90

$0.05*M = $83.90 - $17

$0.05*M = $66.90

M = $66.90 / 0.05

M = 1,338 minutes

When using 3 letters to make an angle the middle letter is

Answers

X? Not sure what the answer choices are but try that

give me the answer now​

Answers

Answer:

what is the Question

Step-by-step explanation:

Need helpw ith this plz

Answers

0 (inconsistent system)

i need to finish my homework

Answers

the answer would be:

2x + 2

Simplify:
(-2x + y - 4)-(-3x – 2y)

A. x - y - 4
B. x + 3y - 4
C. -5x + y - 4
D. -5x + 3y - 4

Answers

Answer:

B

Step-by-step explanation:

-2x + y - 4 - - 3x - - 2y                       That distribuates the minus sign in front of the second set of brackets.

-2x + y - 4 + 3x + 2y

x + 3y - 4

That looks like B

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