I need help with this problem and please show step by step

I Need Help With This Problem And Please Show Step By Step

Answers

Answer 1

Answer:

a).

[tex]{ \bf{first \: term}} \\ let \: n = 1 \\ n_{1} = {1}^{2} + 3(1) + 1 \\ n_{1} = 5 \\ \\ { \bf{second \: term}} \\ let \: n = 2 \\ n_{2} = {2}^{2} + 3(2) + 1 \\ n_{2} = 11 \\ \\ { \bf{third \: term}} \\ n_{3} = {3}^{2} + 3(3) + 1 \\ n_{3} = 19 \\ \\ { \bf{fourth \: term}} \\ n_{4} = {4}^{2} + 3(4) + 1 \\ n_{4} = 29[/tex]

b).

common difference, d:

[tex]d = n_{4} - n_{3} \\ d = 29 - 19 \\ d = 10\\ but \: increases \: by \: 2 \\ d = 10 + 2 = 12\\ therefore : \\ n_{5} = n_{4} + d \\ n_{5} = 29 + 12 \\ n_{5} = 41[/tex]

c).

[tex]n_{5} = {5}^{2} + 3(5) + 1 \\ n_{5} = 41[/tex]

yes it is the same


Related Questions

Need Help fast, with steps

Answers

Answer:The solution is in the attached file below

Step-by-step explanation:

What is the solution to the equation 5 + b = 18?
F b= 5
H b= 13
Gb=8
Jb= 23

Answers

Answer:

H) B= 13

Step-by-step explanation:

5 + b = 18

F) 5 + 5 = 10 so not equal to 18. It is not a solution

H) 5 + 13 = 18 it's equal . so it is the solution

G) 5 + 8 = 13  so not equal to 18. It is not a solution

J)  5 + 23 = 28  so not equal to 18. It is not a solution

13 is the answer

Step-by-step explanation:

5+b=18

b=18-5

b=13.

4) 2x(x+y)-(4x+2y)(3x-y)

Answers

Answer:

-10x² + 4xy - 2y²

Step-by-step explanation:

2x(x + y) - (4x + 2y)(3x - y)

= 2x² + 2xy - 12x² - 4xy + 6xy - 2y²

= 2x² - 12x² + 2xy - 4xy + 6xy - 2y²

= -10x² + 4xy - 2y²

At a charity​ fund-raiser, adult tickets were sold for ​$10 each and​ children's tickets were sold for $4 each. Write an algebraic expression for the total amount of money raised from the sale of tickets. How much money was raised if the fundraiser sold 244 adult tickets and 387 ​children's tickets?

Answers

Answer:

the all adult tickets made out 2440$

the all children tickets made out 1548

Does y=-4/5x represent a direct variation is yes,identify the constant of variation

Answers

Answer:

Most likely yes... there is a problem in the way you asked your question ...

if the question is   [tex]y = ( \frac{-4}{5}) x[/tex] then the answer is yes and the constant is -4/5's

If by some chance the actual question is   [tex]y = \frac{-4}{(5x)}[/tex] (you can not tell by the way y0u presented tis problem.. then the answer would be NO it would be "inverse" relation

Step-by-step explanation:

Date: / ot of so from the tind the value proportion:x: 35:98:60. 2​

Answers

Answer:

jsjsjsjjejejejsjsisj

sjjsjskzij

Step-by-step explanation:

gwhshs

R' (-1, 9) is the image of R after a reflection in the x-axis. What are the coordinates of R?

Answers

(1,9) HERE COMES THE SUN DUDUDU HERE COMES THE SUN

Use the distributive property to write the expression without parentheses.
3(3a+2)
3(3a + 2) = (Simplify your answer.)

Answers

[tex]\\ \sf\longmapsto 3(3a+2)[/tex]

[tex]\\ \sf\longmapsto 3(3a)+3(2)[/tex]

[tex]\\ \sf\longmapsto 9a+6[/tex]

Hope it helps

1/3{3+7x3}-4 HELP ASAP

Answers

[tex] \dashrightarrow \sf \dfrac{1}{3}[3 + 7 \times 3][/tex]

[tex] \\ \\ [/tex]

write the equation

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf \dfrac{1}{3}[3 +21][/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf \dfrac{1}{3} \times 24[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf \dfrac{24}{3}[/tex]

[tex] \\ \\ [/tex]

[tex] \cancel{ \dashrightarrow \sf \dfrac{24}{3}}[/tex]

[tex] \\ \\ [/tex]

[tex]\dashrightarrow \sf8[/tex]

Answer :- 8

In 5 rounds of a game. Jill scored -3, 8, 9. -7
and 13. What integer represents her average
score for the 5 rounds?

Answers

Answer:

4

Step-by-step explanation:

You add all the numbers then you divide by the amount of numbers that you added. Hope this helped.

Help me please! Am horrible at math.

Answers

Answer:

Step-by-step explanation:

For a. the 14.7 represents the pressure that the air puts on you all the time.

For b. the d represents the depth you go under the surface of the water.

For c. we have to solve p(d) when d = 8:

p(8) = 14.7 + 0.445(8) so

p(8) = 14.7 + 3.56 and

p(8) = 18.26 psi

Write an expression that represents the perimeter of the rectangle
below. Write your answer in STANDARD FORM
5x + 2
2.x

Answers

Length=5x+2Breadth=2x

[tex]\\ \sf\longmapsto Area=Length(Breadth)

[tex]\\ \sf\longmapsto Area=(5x+2)2x[/tex]

[tex]\\ \sf\longmapsto Area=10x^2+4x[/tex]

A) Addition
B) Subtraction
C) Multiplication
D) Exponent

3+16 divided by 4

4 x 7 - 2 x 6 divided by 3

5 (power of 2) - 4 x (2 power of 3) -3)

(-3 (power of 4) divided 9 x (4-5 (power of 3) + 8

Answers

Answer:

3+16 divided by 4 is 4.75

4×7-2×6..... is5.33

168

subtract 1/2 of 39 from 1/2 the number of days in august

Answers

Answer:

-4.

Step-by-step explanation:

There are 31 days in August.

1/2 * 31 - 1/2 * 39

= 15 1/2 - 19 1/2

= -4.

Help me please? An explanation too? Cause I’m really slow at learning and my teachers just go without me on stuff :/

Answers

Answer:

Here is your answer

s= 9/4

Sarah ran 4 7/8miles, then walked 1 11/12 miles.
Find the total distance she traveled.

Answers

Answer:

6  19 /24

Step-by-step explanation:

find the lcd and add

what does 8(x+5) equal

Answers

Answer:

40

Step-by-step explanation:

8(x+5)

8x+40

=40

0/1
(-7x2 + 2x – 9) - (2 + 9x2 + 3x)
7
8
9

Answers

The answer is 9 I believe

What’s expression is equivalent (1/7x+6)-(-4/7x+3

Answers

Answer:

[tex]\frac{5}{7}[/tex] x + 3

Step-by-step explanation:

Given

( [tex]\frac{1}{7}[/tex] x + 6) - ( - [tex]\frac{4}{7}[/tex] x + 3) ← distribute by - 1

= [tex]\frac{1}{7}[/tex] x +6 + [tex]\frac{4}{7}[/tex] x - 3 ← collect like terms

= [tex]\frac{5}{7}[/tex] x + 3

102 A marathon is 26.2 miles long. There is a water station every 1 1/4 miles along the race route. How many water stations are needed for this marathon? tills​

Answers

Answer:

21 stations

Step-by-step explanation:

1 1/4 = 5/4

26.2 / 5/4 = 20.96

rounded up to 21

Consider the expression 9 * (10 * 4).

Identify the equivalent expression below that demonstrates commutative property.

Answers

Answer:

9*(40)

Step-by-step explanation:

9*(10*4)

=9*(40)

The commutative property basically says that if we’re working with any equation, and there are two terms in parentheses you have to combine those two terms

I need help with this question please

Simplify.


18 2+6(4+1) -2

Answers

Step-by-step explanation:

18 2+6(4+1)-2

18 8(5)-2

18 40-2

18 38

18×38

multiply it to get your answer

Helppp pleaseeeee

Which expression is equivalent to

Answers

Answer:

The second option

Step-by-step explanation:

First, simplify the bracket

[tex] \frac{4r {}^{3} s {}^{2} t {}^{4} }{2r {}^{4} st {}^{6} } [/tex]

Apply Quotient of Powers

[tex]2 {r}^{ - 1} s {t}^{ - 2} [/tex]

Which equals

[tex] \frac{2s}{rt {}^{2} } [/tex]

Raise this to the fifth power

[tex] \frac{32s {}^{5} }{ {r}^{5} t {}^{10} } [/tex]

Multiply by the outsides numbers(5^r^6 and t^4

[tex] \frac{160 {}^{} r {}^{6}s {}^{5} t {}^{4} }{r {}^{5} t {}^{10} } [/tex]

[tex]160r {}^{5} t {}^{ - 6} [/tex]

[tex] \frac{160r {}^{}s {}^{5} }{t {}^{6} } [/tex]

HELP
HELP HELP HELP HELP

Answers

Answer:

B=107

Step-by-step explanation:

Foremost, D and B are equal measure which can be shown by proving that these two triangles are congruent. A+C+D=180, D=180-(32+41)=107

i would say B is 107

Linear Patterns #2: Solving Equations
Algebra
1. Given the pattern:
95, 91, 87, 83, 79, ...

b) Find the m value (rate of change=slope).
c)

Answers

m=-4

you are subtracting all the numbers by 4 therefore they are all changing by -4

what is 8.22 divided by 6.0
( in science )

Answers

Answer:

1.37

Step-by-step explanation:

hope this can help u

A farmer has 180 bushels of apples for sale at a​ farmer's market. He sells an average of 15 3/4 bushels each day. After 6 ​days, what is the change in the total number of bushels the farmer has for sale at the​ farmer's market?

Answers

If the farmer sells an average of 16 3/4 bushels each day, then after 6 days the farmer would have sold

16 3/4 * 6

We can rewrite the mixed number 16 3/4 as an improper fraction for easier multiplication

16 3/4 = 67/4, so

16 3/4 * 6 = 67/4 * 6

67/4 * 6 = 67/4 * 6/1 = 402/4 = 100 2/4 = 100 1/2 bushels sold after 6 days

If the farmer began with 180 bushels, then after 6 days the farmer has

180 - 100 1/2 = 79 1/2 bushels

What was Veronica's speed if she drove 475 miles in 6 1/4 hours?

Answers

Answer: 76 mph

Step-by-step explanation: speed is distance divided by time so 475 : 6.25 = 76 (mph)

Answer:

76 mph

Step-by-step explanation:

To find the answer, you would divide the miles she drove: 475 by the amount of time it took to get there: 6 1/4 hours. Convert the fraction to a decimal: 1/4= .25 so your problem would look like this...

475 / 6.25 = 76

How can 863.141 be written in expanded form?

Answers

Answer:

800 + 60 + 3 + 0.1 + 0.04 + 0.001

Diana works in a building that is 130 feet tall. She is outside, looking up at the building at an angle of 37° from her feet to the top of the building.

Answers

Let x be her initial distance from the building, then tan 37 = 130/x

x = 130/ tan 37 = 130/0.7536 = 172.5 feet

Let y be her distance from the building after moving forward, then

tan 40 = 130/y

y = 130/tan 40 = 130/0.8391 = 154.9

After moving forward, she is 172.5 - 154.9 = 17.6 ft closer.

Answer:

172.5 feet to the nearest tenth.

Step-by-step explanation:

I guess you need the distance between Diana and the bottom of the building.

tan 37 = 130 / d   where d is this distance

d * tan 37 = 130

d = 130 / rtan 37

= 172.5158 feet

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