Write an explicit formula for a,, the nth
term of the sequence 39, 45, 51, ....

Answers

Answer 1

Answer:

[tex]a_n=33+6n[/tex]

Step-by-step explanation:

General form of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

Given terms:

[tex]a_1=39[/tex][tex]a_2=45[/tex][tex]a_3=51[/tex]

To find the common difference, subtract a term from the next:

[tex]d=a_3-a_2=51-45=6[/tex]

Substitute [tex]a=39[/tex] and [tex]d=6[/tex] into the formula:

[tex]\implies a_n=39+6(n-1)[/tex]

[tex]\implies a_n=39+6n-6[/tex]

[tex]\implies a_n=33+6n[/tex]


Related Questions

Please help me with this math problem!! Will give brainliest!! :)

Answers

Answer:

P = 67°

Step-by-step explanation:

[tex]tan(P)=\frac{24}{10}[/tex]

[tex]P=tan^{-1} (2.4)=67.3^{o}[/tex]

Hope this helps

Answer:

67°

Step-by-step explanation:

Check The attached photo

I need help FAST!!! How do you do this???

Answers

Answer:

- (x + 10 )

Step-by-step explanation:

Given:

-x-10

Factor out -1                  {-x is the same as -1}

= - (x+10)

~Lenvy~

answers needed before the 29th of april, 2022. please help asap

Answers

Answer:

3 stunts per movie

Step-by-step explanation:

Answer:

3:1

Step-by-step explanation:

12 sunts in 4 movies
simply this.
12:4 is the ratio
3:1 is the final ratio
Therefore, there is 3 stunts per movie.

Four friends each bought matching necklaces and two pairs of earrings the necklace were priced at 15.00 if the total bill for all 4 friends was 128.00 what was the price of one pair of earrings

Answers

£128-£15-£15-£15-£15= £68
2x4=8 pairs of earrings
£68 / 8 = £8.50
one pair of earrings cost £8.59

The cost of one pair of earing will be £8.59.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that four friends, each bought matching necklaces and two pairs of earrings the necklace was priced at 15.00 if the total bill for all 4 friends was 128.00.

The cost of one pair of earing will be,

£128-£15-£15-£15-£15= £68

Number of pairs of earing,

2x4=8 pairs of earrings

The cost of one pair of earrings is,

£68 / 8 = £8.50

Therefore, the cost of one pair of earing will be £8.59.

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#SPJ2

Hello, I'm bad at this lesson. Can you help me with this?​

Answers

Answer:

See below ↓↓↓↓↓

Step-by-step explanation:

Q1)

c. ADA chord is a line that does not pass through the center of the circle

Q2)

dIt gives the name of the center of the circle

Q3)

BE = 2BCBC = 16/2 = 8

Q4)

b. arc ABEIt covers more than 180° of the circle ⇒ major arc

Q5)

a. 70°180° - 110° [remaining of the angle)

find the least common denominator of 7/6 and 1/8

Answers

Answer:

24

Step-by-step explanation:

24÷8=3

24÷6=4

Which statement is most likely to be true? the ages of the mackerels are the most dispersed from the team’s mean. the ages of the stars are the most dispersed from the team’s mean. the ages of the dolphins are the most dispersed from the team’s mean. the ages of the giants are the most dispersed from the team’s mean.

Answers

The ages of the Stars are the most dispersed from the team’s mean

Which statement is right?

Standard deviation is one way to measure the average of the data by determining the spread of the data. It actually explains how much the observation points are further away from the mean of the data.

Higher the standard deviation, higher the spread of the data and higher is the uncertainty. This means that the team with the highest standard deviation will have the most dispersion.

In this case, the standard deviation of 4.1 is the largest number, therefore, the statement "The ages of the Stars are the most dispersed from the team’s mean." is true

To know more about standard deviation follow

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.,,.,,.,,.,.,.,.,.,,...,.,.,.,.,.,.,.,.,,,

Answers

diameter = 5cm

radius = 2.5cm

πr² = 3.14×2.5×2.5

19.625cm²

hope it helps...!!!

You have a budget with room for no more than 30% of your take-home pay
for rent. Your take-home pay is $2,400 per month. How much can you
afford to pay for rent per month? *

Answers

Answer:

Rent = 720 dollars / month

Step-by-step explanation:

Remark

You can afford to pay out 30% of your take home pay for rent.

Givens

Take home pay: 2400 dollars.

Rent alotment: 30%

Rent:x

Formula

rent = % of pay * Take home pay

Solution

x = 30/100 * 2400            Divide by 100

x = 0.30 * 2400                Multiply the right

x = 720

For its 28th anniversary, an Uncles Game store is offering a 28% discount on all board games. What is the discounted cost of the game that regularly costs $32. 50?

Answers

Answer: $23.40

Step-by-step explanation:

   We will find what percent of the normal cost the items are currently.

100% - 28% = 72%

   Now, we will find 72% of $32.50

72% -> 0.72

$32. 0 * 0.72 = $23.40

          The discounted cost is $23.40.

Hurry help me please

Answers

Answer:

5

Step-by-step explanation:

Convert the element to fraction:

[tex]\frac{2}{1}[/tex] / [tex]\frac{2}{5}[/tex]

Switch the division to multipl:

2/1 * 2/5

Cross multiply:

2 is elimiated and 1 and 5 remain.

Answer is 1/5 which is 5.

Answer:

5

Step-by-step explanation:

2 ÷ 2/5

= 2 x 5/2

= 10/2

= 5

Which expression is the factorization of x2 10x 21? (x 3)(x 7) (x 4)(x 6) (x 6)(x 15) (x 7)(x 14)

Answers

[tex]\large\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]

[tex] \purple{ \bf{Let's \: solve→}}[/tex]

[tex] \sf{↪ {x}^{2} + 10x + 21} \\ \\ \sf{↪by \: splitting \: middle \: term} \\ \\ \sf{↪ {x}^{2} + 7x + 3x + 21} \\ \\ \sf{↪taking \: common} \\ \\ \sf{↪x(x + 7) + 3(x + 7)} \\ \\ \sf{↪(x + 3)(x + 7) \: is \: yr \: answer}[/tex]

____________________☃️

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

There are 4 cups in 1 quart?? 23pts

Answers

$143.36

4 cups in one court, 4 courts would mean 16 cups. 16 times 8.96 is $143.36

Answer:

0.56

Step-by-step explanation:

8.96/(4*4)

there are 16 cups in the 4 quart jug so we need to divide the price by 16 to get the price per quart

A new car is for lease for $379 per month for 24 months, with a down payment of $558 What is the cost for two years for this vehicle? $9,096 $9,954 $29,688 $20,592 $20,971

Answers

the answer is 9,096 just do the math 24x379

Someone please help…

Answers

since the entire angle is 90 degrees, set 17x + 13 and 32 - 2x to equal 90

17x + 13 + 32 - 2x = 90
15x + 13 + 32 = 90
15x + 45 = 90
15x = 45
x = 3

to figure out what DBE is, set the x value of 17x + 13 to 3

17(3) + 13
51 + 13
64

to figure out CBE, set the x value for 32 - 2x to 3

32 - 2(3)
32 - 6
26

DBE = 64 degrees
CBE = 26 degrees

hope this helped!!

Help I need to turn this in in a hour!!!!

Answers

Answer:

Step-by-step explanation:

Draw a house for cell walls

draw a solar panel for photosyntheses

draw a sink for vacuoles

The average weight of a male African elephant is 15,000 pounds. How many tons is this?



A. 30,000,000 tons



B. 7/12 tons



C. 7tons



D. 8 tons

Answers

Answer:

C

Step-by-step explanation:

it C because the answer is C :)))

Describe how to transform the graph of g(x)=logx into the graph of f(x)=2log(4-x).

Answers

Answer:

I'm not sure if you have answer choices but here's the explaination!!

Step-by-step explanation:

Reflect across the y-axis, translate 4 units to the right, and vertically stretch by a factor of 2.  

Hope this helps!! Good luck. (:

х
у
-2
-2
-1
1
1
7
2
10

Answers

Answer:

y=3x+4

Step-by-step explanation:

See attachment.

find the value of X
please help!

Answers

Answer:

Step-by-step explanation:

So the first thing to do is get the number of angles inside this pentagon, which is 540 degrees. One way to do this is that you know a pentagon is formed of 3 triangles and since there are 180 degrees in a triangle, 3x180=540

Then it is algebra

540=91+125+92+(3x-5)+(4x-8)

Simplify what you can and collect like terms

540=308+3x-5+4x-8

540=308+7x-13

Then move everything over to the one side so that the variable is isolated

540-308+13=7x

245=7x

242/7=x

35=x

The base of a solid is bounded by x^2 + y^2 = 16. Cross sections perpendicular to the x-axis are right isosceles triangles with one leg located in the base. Which definite integral represents the volume of this solid?

Answers

The equation for the base is that of a circle, so the cross sections will have a leg of length equal to the vertical distance between its halves.

x² + y² = 16   ⇒   y = ±√(16 - x²)

⇒   length = √(16 - x²) - (-√(16 - x²)) = 2 √(16 - x²)

Cross sections with thickness ∆x have a volume of

1/2 length² ∆x = 1/2 (2 √(16 - x²))² ∆x = (32 - 2x²) ∆x

since they are isosceles triangles and so their bases and heights are equal.

Then the total volume would be (D)

[tex]\displaystyle \int_{-4}^4 \frac12 \left(2 \sqrt{16-x^2}\right)^2 \, dx[/tex]

The diameter of a circle is 4 kilometers. What is the radius?
d=4 km

Answers

Answer:

2 km

Step-by-step explanation:

radius = [tex]\frac{diameter}{2}[/tex]

radius = [tex]\frac{4}{2}[/tex]

radius = 2 km

Please help me........​

Answers

13 unit is up, 9 units right, dilated by 2

Five roads form two triangles. What is the value of x? Justify your answer.​

Answers

Using sine rule, the value of x in the triangle formed by five roads is 53.36 degrees.

How to find the angle of triangle using sine law?

The value of x can be found using sine rule.

Therefore,

73.2 / sin 37°  = 97.6 / sin x

cross multiply

73.2 sin x = 97.6 sin 37°

73.2 sin x  = 97.6 × 0.60181502315

73.2 sin x  = 58.7371462596

divide both sides by 73.2

sin x = 58.7371462596 / 73.2

x = sin⁻¹ 0.80242003086

x = 53.3618236772

x = 53.36°

Therefore, the value of x is 53.36°

learn more on triangle here:https://brainly.com/question/8242716

Please help! If you don’t know the answer please don’t answer!!

Describe the type of distribution:

A.) Uniform

B.) Approximately bell-shaped

C.) Skewed left

D.) Skewed right

Answers

you see its d because

Tela surveys the 40 seventh and eighth graders
that play the clarinet and trumpet in the band.
The table shows her results. What percent of the
clarinet players are eighth graders?

Answers

8th Graders: [clarinet] 4/40
4/40 can be simplified: divide by 4 (1/10)
Percentage = x100
1/10 x 100 = 10%
Answer: 8th Grade clarinet percentage = 10%

Advanced Clock Repair Services repairs a large variety of antique clocks. Dennis, the owner, operates the business out of his living room and he performs all repairs. Based upon history, the time to repair a clock is exponentially distributed with a mean of about 5 days. Currently, Dennis will always accept a clock for repair no matter how many are already in his living room. Customers drop off clocks for repair according to a Poisson process with a rate of about 0. 18/day. Dennis charges an average of $250 for a repair.


Required:

a. How many clocks would you expect to find in Dennis's living room at any time?

b. Assume you just dropped off a clock for repair. How long would you expect to wait before your clock is repaired?

c. What is Dennis's expected income rate?

d. Dennis's wife is irritated with the number of clock in the living room. Dennis is considering setting a limit of 5 clocks in his living room at any time (. E. An arriving customer will be turned away if there are already 5 clocks there). Dennis would like to determine the impact on his income rate for the new policy vs. The old. Build a model and use it to answer his question

Answers

The answer is B- assume you just dropped off a clock for repaid. how long would u expect to wait before your clock is repaired

Bobby has 9 pizzas. He eats 2 and throws away 1. How many does he have left?

Answers

Bobby has 6 pizzas left.

Step-by-step explanation:

9-2(eaten ones)-1(thrown away)=6

Answer:

6

Step-by-step explanation:

What is the median of the data set?

Answers

Answer:  8.5  (choice B)

=========================================================

Explanation:

The diagram shows us we have this data set

{5, 8, 8, 8, 8, 9, 9, 9, 10, 10}

Cross off the outer most items (the 5 and the second 10) to get this smaller set

{8, 8, 8, 8, 9, 9, 9, 10}

Repeat the last step of crossing off the outer most items to get

{8, 8, 8, 9, 9, 9}

Keep this process going until we have this set of steps

{8, 8, 9, 9}

{8, 9}

We have two items left, which are tied for the middle, so we compute the midpoint

(8+9)/2 = 17/2 = 8.5 is the median

This is the middle most value

What is the area of the rectangle
Width 7.5
Length 6.2

Answers

Answer:

46.5

Step-by-step explanation:

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