An arithmetic sequence has a first term of 8 and sixth term of 38. What is the 50th term of this sequence?​

Answers

Answer 1

Answer:

302

Step-by-step explanation:

Tn=a+(n-1)d

38=8+[6-1)d

38-8=5d

30/5=d

6=d

Tn=a+(n-1)d

8+(50-1)6

=8+(49)6

302


Related Questions

Which is the smallest ratio?

3 to 4, Two-thirds, 10:12, 2 to 1
3 to 4
Two-thirds
10:12
2 to 1

Answers

Answer:

Each ratio can be rewritten as a fraction:

3 to 4 becomes 3/4

2/3 is already a fraction

10:12 becomes 10/12 which can be simplified to 5/6 by dividing both the numerator and the denominator by 2

2 to 1 is 2/1 or 2

2 to 1 is the greatest because it is the only whole number. Comparing the three remaining can be a little more difficult because they have different denominators (the number on the bottom of the fraction).

In order to compare them we can find equivalent(equal) fractions that have a common denominator.

In order to find equivalent fractions we first find the common denominator. Then we multiple the fraction by a unit of one (ex. 2/2, 3/3, 4/4).

3/4 ,2/3, 10/12 12 would be a common denominator because 4 x 3 =12 3 x 4=12 and 12 x 1=12

3 x 3 = 9 3/4=9/12

4 x 3 = 12 2/3=8/12

10/12= 10/12

2 x 4 = 8

3 x 4 =12

Now that they have the same denominator we can see that 8/12 or 2/3 is the smallest fraction.

So, 2/3 is the smallest ratio

Two-thirds is the smallest ratio among 3 to 4, Two-thirds, 10:12, 2 to 1.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The ratios can be written in the form of fractions,

3 to 4 can be written as 3/4

Two thirds can be written as 2/3

10:12 can be written as 10/12 after simplifying we get 5/6

2 to 1 can be written as 2/1

3/4, 2/3, 5/6, 2/1 are the fractions, now we have to find the smallest fraction. This can be done by doing all the fractions with same denominator

3/4×3/3=9/12

2/3×4/4=8/12

5/6×2/2=10/12

2/1×12/12=24/12

In this 8/12 is the smallest fraction so 2/3 is the smallest ratio.

Hence Two-thirds is the smallest ratio among 3 to 4, Two-thirds, 10:12, 2 to 1.

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At Green Island Farms the annual Turkey Trot is being held. This year’s contestants are Tom Turkey, Gary Gobbler and Donny Drumstick. The turkeys chase little RC cars loaded with feed. The buzzer sounds and the turkeys are off. Gary Gobbler chases his RC car trying to eat that sweet turkey feed for 15 feet before he manages to side swipe the RC car and knock it on its side. All the feed spills out and Gary Gobbler gobbles it down. That silly turkey happily eats his food for 1.75 seconds. A mouse comes out of the hay bale and tries to join Gary Gobbler in his feasting. But Gary Gobbler is scared of mice so when he sees the mouse he freaks out and tears down the racetrack.

Write a similar story for Tom Turkey making sure to include the different segments of the graph.

Answers

Answer:

The company is expected the company will receive

(Giving brainliest and extra points to who ever helps me!! :D)


Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. How many more pies did Petra eat?

A) one and fifty eight eightieths pies
B) one and seventeen twenty firsts pies
C) two and fifty eight eightieths pies
D) two and seventeen twenty firsts pies

Answers

Answer:

2 7/20

Step-by-step explanation:

So Lets put these into a fraction form

Petra: 5 3/5

Pauline: 3 4/16 -> Can be Simplified = 3 1/4

Take the number of pies Petra Ate and subtract it by the number of pies Pauline ate

Change the numbers to a common factor. (multiply 3/5 by 4 and 1/4 by 5 to have common denominators)

Make These Into a Mixed Fraction

Subtract 112-65

Simplify (divide 47 into 20 how many times to get into a mixed fraction)

Hope This Helps :)

Answer:

27/20

Step-by-step explanation:

A population has a mean of 300 and a standard deviation of 18. A sample of 144 observations will be taken. The probability that the sample mean will be between 297 to 303 is

Answers

Answer:

0.8664

Step-by-step explanation:

I hope it helps, and please give me Brainlest!

Use all four numbers 5, 1, 7, 9 with a value as close to 6000 as possible

Answers

Answer:

5971

Step-by-step explanation:

Which expression is equivalent to sqrt(80)?

Answers

Answer:

b on edg

Step-by-step explanation:

second part

a=4

b=5

If x = 3 + 2√2, then the value of (x - 1/x) is

a) 4√2
b) 2√4
c) 8

Answers

Your answer is: A. 4/2

Hope this helps and happy holidays!!

HELP FAST I NEeD THIS

Answers

Answer:

1. x=7.16304347

2.x=11.2

Step-by-step explanation:

what is the local minimum on a graph

Answers

Answer:

if the function goes from decreasing to increasing,

Step-by-step explanation:

(ILL GIVE BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS MEEEEEEEEEEEE!! :D)



Which expression results in a sum or difference of three and four forty eighths?

A) two and two twenty fourths plus one and one half
B)one and three twelves plus two and one quarter
C) seven and nine sixteenths minus four and one third
D) six and two sixths minus three and two eighths

Answers

Answer:

D) six and two sixths minus three and two eighths

Step-by-step explanation:

Answer:

i think it is D

Step-by-step explanation:

D) six and two sixths minus three and two eighths

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.

What is the sum of the factors?

Answers

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.
What is the sum of the factors?
13

A video game cube has 50 members and is losing 3 members each year a sports club has 15 members and is gaining 2 members each year.After how many years will the clubs have the same amount of members

Answers

Answer: 7 years
Explanation: after 7 years the gaming club will lose 21 members while the sports gains 14 members adding up to 29 people on each team at that time.
Hope this helps!

what is the LCM of 10 and 20​

Answers

20

your welcomeeeeeeeeeeeee

Answer:

20

Step-by-step explanation:

10 = 2 × 5

20 = 2 × 2 × 5

L.C.M = 2 × 2 × 5 = 20

Thus, The LCM 10 and 20 is 20

-TheUnknownScientist

A rope that is 168 ft long is to be cut into three pieces such that the second piece is 6 ft less than three times the first, and the third is 2 ft more than two-thirds of the second. Find the length of the longest piece.

Answers

Answer:

Length of longest piece is 82 ft

Step-by-step explanation:

Let the measure of the second piece be x

First piece be y

second piece is 6 ft less than 3 times the first

x = 3y - 6

y = (x + 6)/3

3rd piece = 2 + 2/3 * x

= 2 + 2x/3

Adding all equals 168

we only add in terms of x

so we have;

x + (x + 6)/3 + 2 + 2x/3 = 168

Multiply through by 3

3x + x + 6 + 6 + 2x = 504

6x + 12 = 504

6x = 492

x = 492/6

x = 82 ft

So the other pieces are

(x + 6)/3 = 82+6/3 = 88/3 ft

And lastly

2 + 2x/3

= 2 + 164/3 ft

Given 2y =a^x +2a ^-x and a^x>0.
Show that a^x= y + sqrt (y^2-)​

Answers

Answer:

Answer by Yi Jing

Step-by-step explanation:

12 2.25 24 7.5 3 6.75 y 0.75 6 1.5 DRAG AND DROP AN ITEM HERE DRAGAND DROP ANTEN HERE DRAGAN ROP AN ITEM HERE​

Answers

Answer:

0.75

Step-by-step explanation:

BASTA CHAT NYU NA LNG PO AKO  DTO NEED NYU PO NG EXPLANATION

Consider a coin that a head is twice more likely to occur than a tail. Find the variance of number of heads when the coin is tossed three times.

Answers

Answer:

0.667

Step-by-step explanation:

Given that :

Head is twice more likely to occur than a tail.

P(head) = p(H) = 2/3

P(tail) = p(T) = 1/3

If coin is tossed 3 times :

P(H = 0) :

1st toss = tail ;2nd toss = tail ; 3rd toss =. Tail

(1/3) * (1/3) * (1/3) = 1 / 27

P(H= 1)

HTT, THT, TTH

(2/3 * 1/3 * 1/3) + (1/3 * 2/3 * 1/3) + (1/3 * 1/3 *2/3)

= 2/27 + 2 /27 + 2/27

= 6/27 = 2/9

P(H=2)

HHT, HTH, THH

(2/3 * 2/3 * 1/3) + (2/3 * 1/3 * 2/3) + (1/3 * 2/3 * 2/3)

= 4/27 + 4/27 + 4/27

= 12 / 27

= 4 /9

P(H = 3)

HHH

(2/3 * 2/3 * 2/3)

= 8 / 27

X ___ 0 ___ 1 ____ 2 ____ 3

P(x) _ 1/27 _ 2/9 __ 4/9 __ 8/27

E(X) = (0 * (1/27)) + (1 * (2/9)) + (2 * (4/9)) + (3 * (8/27)) = 2

E(X) = 2

Var(X) = Σx²p(x) - E(X)²

= (0^2 * (1/27)) + (1^2 * (2/9)) + (2^2 * (4/9)) + (3^2 * (8/27)) - 2^2

= 4.667 - 4

= 0.667

Hence, Var(x) = 0.667

If it took 8 hours to clean 12 houses how many houses could be cleaned in 12 hours

Answers

It takes 8 hours to clean 12 houses so that’s 8/12 to find how many hours it take to clean one house, 8/12 is equal 2/3 . So it takes 2/3 of an hour to clean one house. 2/3 times 12 equals 8. So you want to find how many houses you can clean in 12 hours. The equation is 12= 2/3x , x=18. The answer is 18 houses. Check the work cus I sure didn’t lol, hope this helps

Five less than the area of a square is 59 square feet. Find the side length of the square.​

Answers

Answer:

4 feet

Step-by-step explanation:

Let the side length of the square be x feet.

x^2 - 5 = 59

x^2 = 64

x = ±4 (reject - 4 since length > 0)

Topic: Areas of polygons

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

There are 7 red marbles, 5 blue marbles, and 11 green marbles in a bag. If John randomly pulls a marble from the bag, what is the probability that he selects a blue marble? Give your answer as a decimal to the nearest hundredth.

Answers

Answer:

0.23

Step-by-step explanation:


Which of the following statements best describes the difference between net income and gross profit?
A.Gross profit considers operating expenses while net income does not.
B.Net income considers operating expenses while gross profit does not.
C.Gross profit deducts taxes while net income does not.
d. Net income deducts taxes while gross profit does not.

Answers

Answer:

d. Net income deducts taxes while gross profit does not.

PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
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If f(x) = -3x + 4, find f(-4)

Answers

Answer:

Step-by-step explanation:

-3x+4

-3(-4)+4

12+4

16

Answer:

3x+4

3(-4)+4

12+4

16

Step-by-step explanation:

y=mx+b
answer fast, please!

Answers

Answer: y = -1x + 3

Step-by-step explanation:

it's going through the y intercept ( 3 )

and down ( negative by 1 )

you can also write the answer as y = -x + 3

either one, its the same.

y=-1x + 3 is the answer

find the smallest number by which the number108 must be multiplied to obtain a perfect cube

Answers

Answer:

2

Step-by-step explanation:

108*2

=216

216

=6^3

PLS GIVE BRAINLIEST

A tailor earns (12y² + y – 35) pesos for working (3y – 5) hours. How much does he earn per hour?

Answers

Answer:

4y+7

Step-by-step explanation:

(12y² + y – 35)/(3y – 5)

=(3y-5)(4y+7)/(3y-5) (factorization)

=4y + 7

Hope this helped!

The amount that's earned per hour by the tailor will be 4y + 7.

Since the tailor earns (12y² + y – 35) pesos for working (3y – 5) hours, then the number of hours that the tailor used working will simply be gotten through the division of the values that are given to the question. This will be:

= Amount earned / Total number of hours used

= (12y² + y – 35) / (3y – 5)

= 4y + 7

The amount earned per hour is 4y + 7.

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https://brainly.com/question/18736693

Multiply. Express your answer in simplest form.
5/9 x 3/10

Answers

Answer:

5/9 x 3/10 = 15/90 as simplified as 1/6 in fraction form.

5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.

We have,

To multiply fractions, we multiply the numerators together and the denominators together.

The resulting fraction is then simplified to its simplest form.

Let's multiply 5/9 by 3/10:

(5/9) x (3/10) = (5 x 3) / (9 x 10) = 15/90

To simplify the fraction 15/90, we can divide both the numerator and denominator by their greatest common divisor, which is 15:

15/90 = (15 ÷ 15) / (90 ÷ 15) = 1/6

Therefore,

5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.

Learn more about fractions here:

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Is triangle AXY inscribed in circle A?
yes
no

Answers

Answer:

yes

Step-by-step explanation:

its marked in the center with characters

calculeaza aria unui triunghi cu baza de 20 cm si inaltimea corespunzatoare ei de 12 cm

Answers

Answer:

Aria unui triunghi =120 cm²  

Step-by-step explanation:

Folosind formula:

Aria unui triunghi = (baza x înălțimea) / 2

                          A=(20x12)/2

                            =240/2 cm²

                            =120 cm²      

Aria unui triunghi =120 cm²    

subtract these polynomials. (3x^22+2x+4)-(x^2+2x+1)

Answers

Answer:

3x^22−x^2+3

Step-by-step explanation:

Let's simplify step-by-step.

3x^22+2x+4−(x2+2x+1)

Distribute the Negative Sign:

=3x^22+2x+4+−1(x2+2x+1)

=3x^22+2x+4+−1x2+−1(2x)+(−1)(1)

=3x&22+2x+4+−x2+−2x+−1

Combine Like Terms:

=3x22+2x+4+−x2+−2x+−1

=(3x22)+(−x2)+(2x+−2x)+(4+−1)

=3x22+−x2+3

Answer:

=3x22−x2+3

Answer:3x^22−x^2+3

Step-by-step explanation:

which of the following functions is graphed below​

Answers

Answer:

A.

Step-by-step explanation:

When X is zero y is 7.

It looks like the y intercept is 7 hard to tell in the picture

Answer:

im going to guess C

Step-by-step explanation:

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