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

what does 8(x+5) equal

Answers

Answer:

40

Step-by-step explanation:

8(x+5)

8x+40

=40

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

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

Need Help fast, with steps

Answers

Answer:The solution is in the attached file below

Step-by-step explanation:

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

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

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

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

How can 863.141 be written in expanded form?

Answers

Answer:

800 + 60 + 3 + 0.1 + 0.04 + 0.001

what is 8.22 divided by 6.0
( in science )

Answers

Answer:

1.37

Step-by-step explanation:

hope this can help u

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

Answers

The answer is 9 I believe

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

Answers

Answer:

jsjsjsjjejejejsjsisj

sjjsjskzij

Step-by-step explanation:

gwhshs

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

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

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

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

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

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]

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

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.

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

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

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

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:

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

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

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.

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

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.

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]

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