Use the explicit formula to determine the 50th term in the sequence:
2,5,8,11,14,...

Answers

Answer 1

Answer:

149

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence.

5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

a₅₀ = 2 + (49 × 3) = 2 + 147 = 149


Related Questions

Lakeview in 72 miles from Springfield Irania must go to the law library in Springfield to get A document for the law firm for which she works Find how long it takes her to dive round trip if she average 52 mph.

Answers

Answer:

3.5 hours

Step-by-step explanation:

2*77/44=154/44=3.5 hours


2. Suppose that four times the square of a number equals 20 times that num-
ber. What is the number?
3. Twice the square of the sum of a number and 3 is 98. Find the number. help me in number 2 and 3 please ​

Answers

Answer:

2. the answer is 5 because the square of 5 is 25 and 4 x 25 = 100 which is 20 x 5

Step-by-step explanation:

We are required to find the unknown number from the expression

2.

let

the number = x

four times the square of a number equals 20 times that number

4x² = 20x

Divide both sides by 4x

x = 5

The number is 5

3.

let

x = the unknown number

Twice the square of the sum of a number and 3 is 98

sum of a number and 3 = x + 3

square of the sum = (x+3)²

Twice the square = 2(x + 3)²

2(x + 3)² = 98

2(x² + 6x + 9) = 98

2x² + 12x + 18 = 98

2x² + 12x +18 - 98 = 0

2x² + 12x - 80 = 0

x² + 6x - 40 = 0

using factorization method to solve the quadratic equation

x² + 10x - 4x - 40 = 0

x(x + 10) - 4(x + 10) = 0

(x + 10) ( x - 4) = 0

x + 10 = 0 or x - 4 = 0

x = -10 or x = 4

Therefore, the unknown number is -10 or 4

Read more:

https://brainly.com/question/19952256

How many meters are equivalent to 3 kolomiters

Answers

Answer:

3000 meters

Step-by-step explanation:

1 kilometer = 1000 meters

3 kilometers = 3(1000 meters)

3 kilometers = 3000 meters

Hope this helps!!!

What is the value of y?​

Answers

Answer:

y=31

Step-by-step explanation:

Supplementary angles, the total degrees would be 180, so to get y you would do 180-149=31

Answer:

92°

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Jocelynn paid $3.01 for an item which cost $34.80 before sales tax is applied. If the sales tax remains the same, how much money, to the nearest cent, will she pay for a $100 item. ​

Answers

Start by finding out the tax percentage which is 3.01 divided by 34.80 which gives us 9% when rounded up. 100*1.09 will give us the answer; The answer is $109. For a precise answer with a precise tax percentage, it would be $108.65.

Last year, Gena’s food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how much Gena’s business is currently in debt? Check all that apply.

225(3)


(3)(–225)


–225 + 3


3 – 225

–225(3)


(3)(–225)


–225 + 3


3 – 225


–225(3)

Answers

Answer:

(3)(-225) and -225(3).

Step-by-step explanation:

First, since ¨in debt¨ is describing negative value, all of the expressions that have positive 225 is incorrect. Also, since the term ¨triple¨ is describing multiplcation, any expression that does not have multiplication is also incorrect. This process of elimination leads to two answers, which both are correct.

Answer:

A. 225(3)

B. (3)(–225)

C.–225 + 3

D. 3 – 225

E. –225(3)

Step-by-step explanation:

Edge 2021

What is the importance of function in real life?

Answers

Hbdbsnns shbebsbbsb Ebenen snsnnenshsb

Answer:

it's not important.........

A scale model of a building has a height of 1/5 meter. The scale of the model is 1cm=0.5m. What is the height of the building?

Answers

Answer:

2000 meters

Step-by-step explanation:

first you have to convert the meters into centimeters so then 1cm=100 cm

1/5 meter=20 cm

20*100=2000

2000 centimeters or 20 meters

hope this helps

brainliest?

Choose the correct slope of the line that passes through the points (1, −3) and (3, −5).
Answer Choices
A. 1
B. -1
C. 0
D. 1/2

Answers

Answer:

B. -1

Step-by-step explanation:

Use the slope formula to find the slope  m .

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 3) and (x₂, y₂ ) = (3, - 5)

m = [tex]\frac{-5+3}{3-1}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 → B

plz help me it du within 30 minutes

Answers

Beth spent more by $ 5.20

Hope this helps!:)

Answer:

b. $5.20

pls give me brainlist

A submarine started at 750 meters below sea level. It rose 50 meters per hour over a 4-hour period. Which expression represents the new position of the submarine in relation to sea level?
(Negative 750 + 4) times 50
Negative 750 minus 4 times 50
Negative 750 + 4 times 50
750 + 4 times (negative 50)

Answers

Answer:Negative 750 minus 4 times 50

Step-by-step explanation:

Answer:

C ( Negative 750 + 4 times 50)

Step-by-step explanation:

Just did it on e d g e n u i t y and got it correct!

PLS HELP ME I REALLY NEED HELP I DO NOT FEEL GOOD AND I HAVE TO MCUH WORK...pls? (7th grade work)

Answers

Answer:

see below

Step-by-step explanation:

65 - 32 = 13

13 divide by 65 = 0.20

0.20 x 100% = 20%

so the percentage drop is 20%

therefore, Marcus is correct.

A.

B.

C.

D.

look at the picture ^^

Answers

Answer:

C, he did not divide properly .

Step-by-step explanation:

On a recent round of golf, Shana made par on 15 out of 18 holes. On what percent of holes did Shana make par?

Answers

Answer:

83.333333....

Step-by-step explanation:

Do 15 / 18 = .83333...

then move the decimal 2 to the right

Yi Min is a pitcher on her softball team. This season,
she has allowed an average of 0.8 hits per inning
pitched. If Yi Min pitched 60 innings this season,
how many hits did she allow?
A
75
B
0.013
0.021
48

Answers

Answer:

48

Step-by-step explanation:

0.8 times 60= 48

Answer: 48   ^_^

Step-by-step explanation:

6/18
Write each ratio as a fraction in lowest terms

Answers

Answer:

1/3

Step-by-step explanation:

If you want to write the fraction in its lowest terms, all you have to do is simplify!! Simplifying is easy; all you have to do is divide on the top and bottom of the fraction by the same number.

So, to simplify 6/18, figure out what the highest number is that can go into both numbers in the fraction. For this problem, the highest number is 6.

6 divided by 6 is 1.

18 divided by 6 is 3.

The simplified answer comes out as 1/3...you can also check it by multiplying 1 and 3 by 6.

1 multiplied by 6 is 6.

3 multiplied by 6 is 18.

So, 6/18 in lowest terms is 1/3!!

I hope you understood...have a great day :)


"Suppose you are making baked ziti for a family party. The recipe serves 4 and calls for 2.5 teaspoons of
oregano, but there are 16 people coming to dinner. How many teaspoons of oregano will you ned to serve 16 people?

Answers

Answer:

10 teasoons of oregano

Step-by-step explanation:

16/4 = 4

2.5 x 4 = 10

10 spoons of oreganos

How do you solve 2(y + 1) – 2 = 4 + 2y - y

Answers

Answer:

y=4

Step-by-step explanation:

2(y+1)-2=4+y

2y+2-2=4+y

2y=4+y

2y-y=4

y=4

Answer:

y=4

Step-by-step explanation:

So first of all you do distrabutive property when you do that you get 2y+2-2=+2y then you combine the like terms than when you do that you should get y=4

I hope this helps!

HELP I NEED THIS ANSWER ASAP OR I FAIL
PLEASE

Answers

Answer: A

Step-by-step explanation:

145 over 1000 in simplest form

Answers

29/200. 145 / 5 = 29, and 1000 / 5 = 200. 29 is a prime, so that's the lowest you can go: 29/200.

I have no idea what the answer is please help soon

Answers

3a^4b^3

This is the answer

A publisher sells 10⁶ copies of a new book. Each book sells 10² pages. How many pages total are there in all of the books sold? Write the answer using exponents.jkkjnjnjn

Answers

10^4 Should be the answer

Flight Distances
Chicago O'Hare is a busy international airport. The map shows the flight distance from
Chicago O'Hare to several cities. Lee conjectured the flight distance from Chicago to
Istanbul is the same as the flight distance from Chicago to Sao Paulo when the distances
are rounded to the nearest thousand.
To Beijing
5,784 miles
5,784 miles
S
6,579 miles
Chicago, Illinois
Istanbul, Turkey
Beijing, China
5,252 miles
Sao Paulo, Brazil
4. Construct Arguments Describe at least one way you could
construct an argument justifying Lee's conjecture.​

Answers

Answer:

4. Given that the distance from one place to another are placed in ranges of a thousand, then the distances from Sao Paulo to Chicago Illinois which is 5,252 miles and from Chicago Illinois to Istanbul Turkey which is 5,784 miles will be in the same 5,000 kilometer distance range and both distances will taken as the same distance

The same situation can also be arrived at by rounding down both distances

Step-by-step explanation:

The given information are;

The flight distances given;

From Sao Paulo to Chicago Illinois = 5,252 miles

From Chicago Illinois to Istanbul Turkey = 5,784 miles

From Beijing China to Chicago Illinois = 6,579 miles

Lees conjectured the flight distance from Chicago to Istanbul is the same as the flight distance from Chicago Sao Paulo when the distances are rounded to the nearest thousand

Placing the distances in ranges of 1000, we have the 5,252 miles and the 5,784 miles will be in the same 5,000 to 5,999 miles range.

A+b; when a =12 and b =4

Answers

Answer:

16

Step-by-step explanation:

a+b

12+4

16

Answer:

16

Step-by-step explanation:

put the values of a and b in the equation and get sum of it

Please help with these questions!!

Answers

Answer: 308

Step-by-step explanation: Divide 70 by 5 which is 14 and then 14 times 22 is 308

HELP I GIVE BRAINIEST

Answers

Answer:

137.5

Step-by-step explanation:

Write the equation in Slope Intercept form for the line that passes through (5,-7) and is perpendicular to the y-axis. m= _______ Equation: ________________________________

Answers

Answer:

35

Step-by-step explanation:

Answer:

y=-7

m=0

Step-by-step explanation:

y=mx+b

line is perpendicular to y axis and passes through point(5,-7)

which means that our line equation is y=-7

so y=0*x-7

so m=0 and b=-7

The points (10, w) and (3, 1) fall on a line with a slope of 0. What is the value of w?

Answers

Answer:

w = 1

Step-by-step explanation:

If the slope is 0, then this line will be horizontal.

This means that the y value will be the same for all points on the line.

Since we are given the point (3, 1), we know that the y value is 1. This means all other points on the line will have 1 as the y value.

So, w is equal to 1 because it is the y value in that ordered pair.

−7.5(x−3)=3.75 What is the value of x? Enter your answer as a decimal.

Answers

Answer:

x=2.5

Step-by-step explanation:

A men's shoe size is related to his foot length and can be modeled by the equations s=1.7f -7.2, where s is shoe size and fis foot length, in inches. What is the shoe size of a man whose foot measures 9 inches?​

Answers

Answer:

B. 8

Step-by-step explanation:

Given the equation, [tex] s = 1.7f - 7.2 [/tex],

where,

s = shoe size,

f = foot length,

To determine the shoe size of a man that has a foot length (f) of 9 in, substitute f = 9 into the equation.

[tex] s = 1.7f - 7.2 [/tex]

[tex] s = 1.7(9) - 7.2 [/tex] (substitution)

[tex] s = 15.3 - 7.2 [/tex]

[tex] s = 15.3 - 7.2 [/tex]

[tex] s = 8.1 [/tex]

His shoe size is approximately 8 inches

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