b) Here are the first four terms of another sequence.
6 11 16 21
Write an expression for the nth term of this sequence.

Answers

Answer 1

Answer:

        aₙ = 5n + 1

Step-by-step explanation:

11 - 6 = 5  ,   16 - 11 = 5  ,  21 - 16 = 5

So, it's atithmetic formula with common difference os 5

[tex]a_n = a_1+d(n-1)\\\\a_1=6\\d=5\\\\a_n=6+5(n-1)\\\\a_n=6 +5n-5\\\\a_n = 5n+1[/tex]


Related Questions

HELP!!!! Put the following in order from greatest to least.

Answers

Answer:

A

Step-by-step explanation:

A = 9, 7, 5, -2, -6, -8

What is the area of the figure shown? 3 in. 10 in. 5 in. 10 in.​

Please I need help—

Answers

Answer:

65 in²

Step-by-step explanation:

The total area is the sum of the areas of the rectangle and the triangle:

5*10 + 1/2*10*3 = 65 in²

Answer:

area of figure =area of (rectangle+TRAINGLE)

=l×b+1/2 p×b=10×5+1/2 ×3×10=50+15=65 inch² is your answer

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

x = 112

Step-by-step explanation:

1/8x + 2 = 16

Subtract 2 from both sides

1/8x = 14

Multiply both sides by 8

x = 112

does anyone know the answer?

Answers

Answer:

E

Step-by-step explanation:

Answer:

It's E l did that before

The Petri dish shown has no lid. What is the surface area of the outside of the Petri dish? Round to the nearest tenth. A cylindrical-shaped Petri dish with a radius of 50 millimeters and a height of 15 millimeters.

Answers

Answer:

12566.4 mm²

Step-by-step explanation:

The Petri dish shown has no lid. What is the surface area of the outside of the Petri dish? Round to the nearest tenth. A cylindrical-shaped Petri dish with a radius of 50 millimeters and a height of 15 millimeters.

TSA = Total Surface Area

CSA = Curved Surface Area

TSA of open cylinder = CSA of cylinder + area of base or top

= 2πrh + πr²

= πr(2h + r)

From the above question:

r = 50mm

h = 15mm

Hence,

= π × 50 (2 × 15 + 50)

= π × 50 (30 + 50)

= π × 50(80)

= π × 4000

= 12566.370614mm²

Approximately = 12566.4 mm²

The Surface Area of the petri dish with no lid = 12566.4 mm²

Which number has the greatest value?
A 7.8 x 10-3
B 1.3 x 10-6
C 5.5 x 10-3
D 9.5 x 10-2

Answers

Answer:

D 9.5 x 10^-2

Step-by-step explanation:

D becuase it is only 10^-2, the other ones are 10^-3, which is less than 10^-2

El largo de una casa es el triple de su ancho. Si a la longitud se suma 40 metros y al ancho 1 metro, el área se triplica

Answers

Answer:

el ancho es de 8 metros y el largo es 3 * 8 = 24 metros

width is 8 meters and length is 3*8= 24 meters

Step-by-step explanation:

Spanish

Si el ancho de la casa de la casa es x, entonces el largo de la casa es 3x.

Entonces el área = largo * ancho

área = 3x * x = 3x²

3 multiplicado por área = 9x²

9x² = (3x + 40) (x + 1)

9x² = 3x² + 3x + 40x +40

9x² = 3x² + 43x +40

0 = -6x² + 43x +40

0 = 6x²- 43x - 40

6x²- 43x - 40 = 0

Usando ecuación cuadrática

a = 6, b = -43, c- = -40

x = - b ± √b²- 4ac / 2a

x = 43 ± √1849- 4 (6) (- 40) / 12

x = 43 ± √1849 + 960/12

x = 43 ± 53/12

x = 43+ 53/12 y x = 43-53 / 12

x = 96/12 y x = -10/12

x = 8 y x = - 5/6

Ignorando el valor negativo x = 8 el ancho es de 8 metros y el largo es 3 * 8 = 24 metros

English

The length of a house is three times its width. If 40 meters are added to the length and 1 meter to the width, the area is tripled

If the width of the house of the house is x then the length of the house is 3x.

Then the area = length * breadth

area= 3x*x= 3x²

3 times area= 9x²

9x²= (3x+40 )(x+1)

9x²= 3x²+ 3x +40x +40

9x²= 3x²+ 43x  +40

0 = -6x²+ 43x  +40

0 = 6x²- 43x - 40

6x²- 43x - 40= 0

Using quadratic equation

a= 6 , b= -43 , c-= -40

x= - b±√b²- 4ac/ 2a

x= 43±√1849- 4(6)(-40)/ 12

x= 43±√1849+960/ 12

x= 43± 53/ 12

x= 43+ 53/ 12  and x= 43- 53/ 12

x= 96/ 12       and x= -10/ 12

x= 8    and x= - 5/6

Ignoring the negative value  x= 8  width is 8 meters and length is 3*8= 24 meters

The answer to this would be really greattt

Answers

Answer:

270 cm2

Step-by-step explanation:

multiply the two triangles is 60

the rectangle on the left 35

rectangle on the bottom 84

rectangle on the top 91

what number should come next in the pattern 1,2,3,5,8​

Answers

Since you add 1+1 that equals 2 when it starts then 1+2 that equals 3 then 2+3 equals 5.
So that means 5 plus 8 equals 13.
It’s a simple pattern.

7/12 = 3x/9

In the equation above, what is the value of x?

A. 4/7
B. 4/21
C. 1 3/4
D. 5 1/4

Don’t link any websites please.

Answers

Answer:

C. x = 1 3/4

Step-by-step explanation:

7/12 * 9 = 3x/9 * 9

63/12 = 3x -->

(63/12) / 3 = 3x / 3

63/36 = x

x = 7/4 --> 1 3/4

is it true or false??

Answers

Answer:true

Step-by-step explanation:

It would be -6 which is less that -9

which angles are vertical to eachother​

Answers

Answer:

∠1 and ∠4

Step-by-step explanation:

The China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. If the list price is $58.75, what is the trade discount? What is the net price?

Answers

Answer: See explanation

Step-by-step explanation:

Since the complement is the difference between 100% and discount rate. Since the China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. Therefore, the discount rate will be 80% and the complement 20%.

Therefore, the trade discount will be:

= List price × Trade discount rate

= $58.75 × 80%

= $58.75 × 0.8

= $47

Net price = List price - Trade discount

= $58.75 - $47

= $11.75

Reina scored twice as many goals at her last field hockey game as she did during the first game of the season. If F represents the number of goals Reina scored during the first game, which expression represents the number of goals she scored during the last game?

Answers

the answer is b mnnnnb,me. wmr3,mfr3;kmv 2

if f(x) = 2x +1 and g(x) = 5x-6 then what are f(-1) and g(3)

Answers

Answer: -1

Step-by-step explanation: ANSWER : -1

f(x)=3x−1=y

⇒x=3y+1​

∴f−1(y)=3y+1​

⇒f−1(x)=3x+1​

g(x)=5x+6=z

⇒x=5z−6​

g−1(z)=5z−6​

⇒g−1(x)=5x−6​

g−1(f−1(x))=g−1(3x+1​)

=53x+1​−6​

=15x−17​

∴g−1(f−1(2))=

[tex]\frac{33}{4-\sqrt{5} }[/tex]

Answers

The answer I got was: 12 + 3/5

Sorry I didn’t have that symbol thing on my phone so i had to use a slash.
Hope this helps :)

At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 32 minutes and a standard deviation of 3
minutes. Using the empirical rule, determine the interval of minutes that the middle
99.7% of customers have to wait.

Answers

Answer:

.........................

Step-by-step explanation:

.................................................

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 3 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

Almost all the data lies within three standard deviation from the mean for a normally distributed data.

About 68% of data lies within one standard deviation from the mean.

About 95% of data lies within two standard deviations of the mean.

About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

`

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

hope this helps

plz can i get brainliest:)

Solve for x. round to the nearest tenth. please help!!

Answers

Answer:

∠x = 39.6°

Step-by-step explanation:

tan x = 19/23 = 0.8261

x = 39.6°

PLEASE HELP
Lateena solved the equation below. Is her solution correct? Explain why or why not.

Answers

Answer:

it isn't correct

[tex]x {}^{2} - 6x - 7 = 0 \\ d = 36 + 28 = 64 \\ x1 = \frac{6 - 8}{2} = - 1 \\ x2 = \frac{6 + 8}{2} = 7[/tex]

Answer:

her solution isn't correct .

because she had done a slight mistake in her calculation.

i.e.

[tex]\sqrt{16}=4 \:\:not \:\:16[/tex]

Step-by-step explanation:

solution given:

x²-6x-7=0

making it a perfect square

we must make it on the form of (a+b)²or(a-b)²

so

x²-2*3*x+3²-3²-7=0

(x-3)²-9-7=0

(x-3)²-16=0

adding 16 on both aide

(x-3)²=16

doing square root on both side

[tex]\sqrt{(x-3)²}=\sqrt{16}[/tex]

x-3=±4

taking positive

x-3=4

adding 3 on both side

x=7

and.

taking negative

x-3=-4

adding 3 on both side

x=-4+3

x=-1

x=-1 or 7

At the craft store, Janice bought a bag of green and yellow marbles. She received 14 green marbles and 11 yellow marbles. What percentage of the marbles were green?

Answers

Answer: 56%

Step-by-step explanation:

Since Janice bought a bag of green and yellow marbles and she received 14 green marbles and 11 yellow marbles, the total number of marbles will be:

= 14 + 11 = 25 marbles

Number of Yellow marbles = 11

Number of Green marbles = 14

Total number of marbles = 25

The percentage of the marbles that were green will be:

= Number of Green marbles / Total marbles × 100

= 14/25 × 100

= 14 × 4

= 56%

Which is larger? Convert to a decimal using long division. please show your work!!

Answers

Answer:

1.255

Step-by-step explanation:

10^-1 equals 0.1

1÷8=0.125

so our greatest one is 1.255

martin has \frac{5}{6} of pizza liam has 4 times as much pizza

Answers

Answer:

10/3 pizza

Step-by-step explanation:

step one:

This problem is focused on ratios and fractions

from the problem statement, Martin has 5/6 pizza

Liam has 4 times more of what Martin have

step two:

so we can express what Liam has as

=(5/6)*4 = 20/6or

=5/6+5/6+5/6+5/6= 20/6

= 20/6

2 % of 687.28 m Give your answer rounded to 2 DP.

Answers

Answer:

13.75m

Step-by-step explanation:

Simplify the expression: 2 = (a + 5) =​

Answers

Answer:

a+7

Step-by-step explanation:

Iria made a scaled copy of the following triangle. She used a scale factor greater than 111.

What could be the length of the base of the scaled copy of the triangle?

can someone please help me​

Answers

Answer:

y - 24 = - 7(x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 4, 24) and (x₂, y₂ ) = (7, - 53)

m = [tex]\frac{-53-24}{7+4}[/tex] = [tex]\frac{-77}{11}[/tex] = - 7

Using m = - 7 and (a, b) = (- 4, 24 ) , then

y - 24 = - 7(x - (- 4)), that is

y - 24 = - 7(x + 4)

Find the value of X?

Answers

Answer:

Using this to get my answer done ;)

Step-by-step explanation:

hehe

The value of X would be 18

What is the figure shown below?
N
м.
A...line
B..line segment
C..ray

Answers

Answer:

c its Ray I looked on goggle and I looked up Ray and it showed a picture of that

Answer:

Its a ray I didnt need to look it up cause I alr did this before

Please answer correctly! I will mark you Brainliest!

Answers

Answer:

27

Step-by-step explanation:

V=a^3=3^3=27

What is the first step to solve this equation:
11 - 3x = 44

Question 3 options:

Add 3 to both sides


Add 11 to both sides


Subtract 11 from both sides


Divide 3 on both sides.

Answers

The first step to solving this equation is subtracting 11 from both sides.

HELP NOW PLEASE ANSWER COMPLETELY ACCURATE USE PAPER IF NECESSARY AND UPLOAD PHOTO TO RESPONSE I WILL GIVE BRAINLIEST PLEASE HELP

Answers

Answer:

a. y=2.50x+5

b. The y-intercept of the equation is y=5, or (0,5).

The 5 represents the "b" of the equation where she spent $5

c. The slope of the equation is 2.5 or 2/5.

the slope represents the "m" of the equation where she spent $2.50 per pound on tomatoes

d. y=mx+b

y=2.50(4)+5

y=10+5

y=$15

Step-by-step explanation:

d. y=mx+b

y=2.50(4)+5

y=10+5

y=$15

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