Write an equation to describe the sequence below. Use n to represent the position of a term in the sequence, where n=1 for the first term. 84, 168, 252, 336, ... an

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 1 + (n-1)84

Step-by-step explanation:

to solve a sequence there's a formula-

[tex]a_{1}[/tex]+(n-1)d

where a1 is the first term, and d is the common difference

since we know the first term, and we have a few subsequent terms we can solve for d and creat the general formula for the nth term

to find d we simply check the difference between two terms-

168-x = 84

168-84 = x

84 = x

we can confirm this by checking the next two even

252- x = 168

252 - 168 = x

84 = x

now we have enough for a general formula

[tex]a_{n}[/tex] = 1 + (n-1)84


Related Questions

Henry made the scatterplot shown.
The scatterplot shows the data points, and it also shows the linear model that
Henry drew. Which statement best describes the linear model?
A The linear model describes the data well because points are scattered above
and below the line.
B The linear model describes the data well because all the points are close to
the line.
C The linear model does not describe the data well because the line does not
go through any of the points.
D The linear model does not describe the data well because most of the points
are located above the line.

Answers

Answer: The linear model does not describe the data well because most of the points are located above the line.

Step-By-Step Explanation: The scatterplot shows the data points, and it also shows the linear model that Henry drew.

Is 2g + 2d equivalent
to 2(g + d) ? Why or why not?

Answers

Answer:

Yes

Step-by-step explanation:

When opening the parenthesis of 2(g + d), the 2 is being multiplied by each addend. Therefore, 2(g + d) is 2g + 2d simplified.

Find the value of x that makes m congruent to n​

Answers

Answer:

x=10

Step-by-step explanation:

13x=130

because they are parallel we know that line m and n are equal angles

since 13x° and 130° aee both obtuse angles they are equal

so set them equal 13x=130

and solve for x

divide both sides by 13

(13x)/13 = 130/13

leaving us with x=10

Which number has an absolute value greater than 5
A -6
B -5
C 0
D 5

Answers

Answer:

A -6

Step-by-step explanation:

The reason why this is your answer is because -6's absolute value is 6

As we know, 6 is higher than 5

so hence, your answer is A -6

EXTRAS:

Absolute values of other answer choices...

-5 = 5

0 = 0

5 = 5

Answer:

The number that has an absolute value greater than 5 is -6 so that answer will be A

Help soon

There are 6 white socks, 3 blue socks, and 1 black sock in a basket. One sock is randomly picked and replaced. Then another sock is picked.

What is the probability of getting a blue sock then a black sock?




3/100

1/30

4/90

1/5

Answers

Answer:

the answer is 3/100

Step-by-step explanation:

the probability=

pr(blue)*pr(black)

=3/10*1/10

=3/100

hope this helps

please give brainest

Jace gathered the data in the table. he found the approximate line of best fit to be y = –0.7x 2.36. a 2-column table with 5 rows. the first column is labeled x with entries 0, 1, 4, 5, 7. the second column is labeled y with entries 3, 1, 0, negative 2, negative 2. what is the residual value when x = 5? –3.14 –0.86 0.86 3.14

Answers

The residual value is the difference in the value of the y coordinate between the real value and the expected value. The residual value will be equal to -0.86.

What is residual value?

The residual value is the difference in the value of y coordinate between the real value and the expected value.

Residual Value =  Real value of y - The predicted value of y

The value of y in the table is -2 when the value of x is 5. And as per the function, the value of y when the value of x is 5 can be written as,

[tex]y = -0.7x+2.36\\\\y = -0.7(5)+2.36\\\\y= -3.5+2.36\\\\y=-1.14[/tex]

Now, the residual value can be written as,

[tex]\text{Residual Value} = \text{(Value of y in the table)} - \text{(Value of y as per the function)}\\\\\text{Residual value} = -2 - (-1.14)\\\\\text{Residual value} = -2+1.14\\\\\text{Residual value} = -0.86[/tex]

Hence, the residual value will be equal to -0.86.

Learn more about Residual Value:

https://brainly.com/question/16465392

Answer:

-0.86

Step-by-step explanation:

cuz im a slay queen boss

Select the correct answer.
What is the equation of the parabola opening upward with a focus at and a directrix of ?

A. f(x) = 1/32(x - 9)^2 + 19 =
B. f(x) = 1/32(x + 9)^2 + 19 =
C. f(x) = 1/16(x - 9)^2 + 19 =
D. f(x) = 1/16(x + 9)^2 - 19 =

Answers

Answer:

b

Step-by-step explanation:

on plato

The equation of the parabola opening upward with a focus at and a directrix will be f(x) = 1/32(x + 9)^2 + 19. so option B is correct.

What is the equation of the parabola?

The equation can be written as

f(x) = 1/(4p)(x -h)^2 +(k-p)

where (h, k) is the focus, and p is half the distance between focus and directrix.

Here, We have the upward parabola;

(h, k) = (-9, 7) and p = (7 - (-9))/ 2 = 8.

So the equation is

f(x) = 1/32(x + 9)^2 + 19

The equation of the parabola opening upward with a focus at and a directrix will be f(x) = 1/32(x + 9)^2 + 19. so option B is correct.

Learn more about parabola ;

https://brainly.com/question/1561574

#SPJ5

What is the volume??

Answers

Answer:

V=828.96cm²

Step-by-step explanation:

V=(4/3)∏r³*(1/2)+(1/3)∏r²h

r=6cm

h²=(2√34)²-6²=4*34-36=100

h=10cm

V=2/3*6³∏+1/3*36*10∏=144∏+120∏=264∏=264*3.14=828.96cm²

Find the length of the unknown side

SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

c=?=13

Step-by-step explanation:

Using the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex] where a=5 and b=5, and solving for c=?

[tex]5^2+12^2=c^2[/tex]

[tex]25+144=c^2[/tex]

[tex]169=c^2[/tex]

[tex]c=\sqrt{169}[/tex]

c=13

circles can be found along the Gambia
River in western Africa. The stones
are believed to be over 1000 years old.
In one of the circles at Ker Batch,
three stones have approximate
coordinates of A(3, 1), B(4, -2),
and C-6, -2).
a. What are the coordinates of the
center of the stone circle?
b. Each unit of the coordinate
plane represents 1 ft. What is the
diameter of the stone circle?

Answers

Answer:

-6 4

Step-by-step explanation:

hope it helps you have a great day

The graph of the function y = 2x^2 + bx + 8 is shown.
What is the value of b?

Answers

The value of b is 4 and the function becomes y = 2x²-12x+8 because (2, -8) lie on the function.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

[tex]\rm y = 2x^2+bx+8[/tex]

The above function shows the equation of the parabola.

From the graph, we can see the point(2, -8) lie on the graph of the function,

So point(2, -8) will satisfy the function.

Plug y = -8 and x = 2 in the function.

[tex]\rm -8 = 2(2)^2+b(2)+8\\\\-16 = 8+2b\\-24 = 2b \\b = -12[/tex]

Thus, the value of b is 4 and the function becomes y = 2x²-12x+8 because (2, -8) lie on the function.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

(3×10^6)+(3×10^6)
give your anwser in standard form.​

Answers

Answer:

Solve in parenthesis first(exponents:

(3 x 10^6) + (3 x 10^6)

Will be:

(3 x 1,000,000) + (3 x 1,000,000)

Multiply in the parenthesis:

(3,000,000) + (3,000,000)

Add them:

= 6,000,000

Standard form:

6 x 6^10

Use the order of

PEMDAS:ParenthesisExponentsMultiplicationDivisionAdditionSubtraction!

PLEASE ANSWER! 5 STAR RATING - THANKS (PROFILE TOO) - BRAINLIEST IF I CAN
Each year, a school sends 50 students to a
conference.
Last year, the cost was $12.50 per student.
This year, the cost per student has increased
by 16%.
What is the total cost to send 50 students to
the conference this year?
a $625
b $633
c $725
d $841

Answers

Answer:

c) $725

Explanation:

Last year price: $12.50

If increased by 16%, 100% + 16% = 116%

116% * $12.50

$14.5, each student

Total cost for all 50 students

$14.5 * 50

$725

I need help with this please

Answers

Answer:

The measure of the angle is exactly x.

I need help asap pls

Answers

Answer:

C = 8π

Area = 32π

Step-by-step explanation:

Radius = 4 cm

Circle Circumference Formula: 2πr

C = 2π*4 = 8π cm

Area Circle Formula: 2πr^2
Area = 2π*4^2 = 2π*4*4 = 2π*16 = 32π cm

PLEASE HELP If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of getting exactly 1 heads?

Answers

The probability of getting exactly 1 head when a fair coin is tossed 9 times is approximately 0.017, to the nearest thousandth.

To find the probability of getting exactly 1 head when a fair coin is tossed 9 times, we can use the concept of binomial probability. The probability of getting a head on a single coin toss is 1/2, and the probability of getting a tail is also 1/2.

In this case, we want to calculate the probability of getting exactly 1 head out of 9 tosses. This can be represented as a binomial probability with parameters n (number of trials) and p (probability of success).

Using the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where n is the number of trials, k is the number of successful outcomes, and p is the probability of success.

In our case, n = 9, k = 1, and p = 1/2.

Plugging these values into the formula:

P(X = 1) = (9 choose 1) * (1/2)^1 * (1 - 1/2)^(9 - 1)

P(X = 1) = 9 * (1/2) * (1/2)^8

P(X = 1) = 9 * (1/2)^9

P(X = 1) = 9/2^9

P(X = 1) ≈ 0.017

Therefore, the probability of getting exactly 1 head when a fair coin is tossed 9 times is approximately 0.017, to the nearest thousandth.

For more such questions on probability, click on:

https://brainly.com/question/25839839

#SPJ8

Expand the logs and show work

Answers

Here’s what I’ve done.
I’m not too sure what was meant by expanding?
What I’ve found is what power you need to get the number that’s being logged.

The last question uses a, because the question uses x.

The working I’ve done should be self-explanatory.

Write the absolute value equations in the form |X-B|=C (where B is a number and C can be either number or an expression) that have the following solution sets X=15

Answers

Answer:

|x - 15| = 0

Step-by-step explanation:

|x - 15| = 0 ⇔ x - 15 = 0 ⇔ x = 15

A person going to a party was asked to bring 2 different bags of chips. Going to the store, she finds 11
varieties.
How many different selections can she make?
I

Answers

Answer:

Step-by-step explanation:

...

11C2=55

Help, with math! due soon!

Answers

Answer:

a)  (4, 5)

b)  (3, -1)

c)  (4, 4)

d)  (-3, 2)

e)  (3, 1)

f)  (7, 8)

Step-by-step explanation:

I hope this helped. If it did mark brainliest pls :)

PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
Gina is buying 24 oranges. Two stores offer the following deals:
Store A: 12 oranges for $6.48
Store B: 5 oranges for $2.65
Gina can buy oranges individually.
How much will Gina save if she buys 24 oranges at Store B?
Show your work

Answers

Answer:

12.72

2.65/5 = 0.53

0.53x24= 12.72

Step-by-step explanation:

The ratio of girls to boys in the school marching band is 3 to 2. If there are 24 boys in the marching, how many of the students in the marching band are girls.

A.42
B.28
C.32
D.36

Answers

Answer:

D. 36

Step-by-step explanation:

Ratios are a way to represent of how much there is one thing to another. It's a more simplistic representation.

For example, if there were 625 adults and 375 children, we don't say there are 625 adults to 375 children, we say there are 5 adults to 3 children.

All I did was divide both the number of children and adults by 125 and we have a ratio of 5:3 for adults to children respectively.

In this problem, we have a ratio of 3:2 for girls to boys. This 3:2 ratio is a simplistic representation of the number of girls to boys. We know that there are 24 boys.

Dividing 24/2 = 12

12 is the proportion which we multiply by the ratio to get the true numbers for boys and girls.

2 * 12 = 24 boys

3 * 12 = 36 girls

So there are 36 girls in the marching band.

BRAINLIEST! and MAX POINTS!

Given the following numbers:

π,2√5,√8,√3,√27

part A. Approximate the square root terms using the perfect squares approximation method. Your answer should be a mixed fraction. Make sure to show your work.

Please note pi does not need to be approximated by the perfect squares approximation method as it is not a square root.

part B. Order the numbers from least to greatest. Please show your answer using the original symbols and radicals provided. You may use decimals or fractions as part of your work for figuring it out.

Answers


Part A)
0.47/1=0.47x100/1x100=47/100\
Part B)
0.47=47/99
Part C)
0.47=47/99
This is what I got for the first problem

Part A, 2√5)

5=2.2360679775 5=2x2.2360679775=4.472135955=4.47

Part A, √8)
2 3
V4 8 v9

2 4/5

Part A, √3)
1 2
V1 3 v4

1 2/3 Part A, √27)
5 6
V25 27 v39

5 2/14
Part B)

1 2/3 2 3/5 4.47 5 2/14
This is what I got for the second problem
I hoped this helped! :)

Ally and Christian bought 4 pounds of butter and 2 pounds of chocolate chips for cookies. How many ounces of products did they purchase?

Answers

Answer: 96

Step-by-step explanation: Multiplying by 16 (6 × 16)

I know this is super random but I was never shown in class how to actually do this type of problem so if you could give an explanation it would be so so helpful :)
____________________________________

Winifred bought a bib necklace, which is just a big necklace in the shape of a dinner bib, at a 45% discount. If the discount saved her $63, what was the necklace's original price?​

Answers

$140 was the original price.

discount : 45%

45% ⇒ $63

1% ⇒ $(63/45)

1% ⇒ $1.4

original price is always 100%

100% ⇒ $(1.4*100)

100% ⇒ $140

Given↷Discount ⇢ 45%discount price ⇢$63To find↷Original price of the necklaceAnswer↷$140Solution↷

Let the original price of the necklace be ,'x',

then,

According to the question,

(45/100)x = 6345x = 6300x = 6300/45x =140

Hence ,the necklace she bought worths $140 without the discount given to her.

[ Thanks to starrysoul100 ]

The height of an object after it is released can be modeled by the function f (x) = negative 16 t squared v t s, where t is the number of seconds after the object is released, v is the upward speed in feet per second at release, and s is the starting height in feet. if a quarterback throws a ball from his hand 6 feet in the air at an upward speed of 25 feet per second, how much time does his teammate have to catch the ball?

Answers

The amount of time his teammate have to catch the ball is equal to 1.774 seconds.

Given the following function:

f(x) = -16t² + vt + s.Displacement, s = 6ft.Velocity, v = 25 ft/s.

How to calculate the amount of time?

In order to determine the amount of time his teammate have to catch the ball, we would evaluate the given position-time function as follows:

f(t) = -16t² + 25t + 6.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c =0

Where:

a = -16.

b = 25.

c = 6.

Solving the function by using the quadratic formula, we have:

t = [-b ± √(b² - 4ac)]/2a

t = [-25 ± √[(25² - 4(-16)(6))]/2(-16)

t = [25/32 ± (-1/32)√1009]

t = 25/32 ± (-0.993)

t = 0.781 ± 0.993

t = 0.781 + 0.993

Time, t = 1.774 seconds.

Note: We ignored the negative value because time cannot be negative.

Read more on quadratic equation here: brainly.com/question/1214333

Answer:

B

Step-by-step explanation:

The verified dude saisd so

Make n the subject of the formula y=m^2 - 4n^2

Answers

Answer:

Make n  the subject of the formula y =m² -4n² .

Step-by-step explanation:

it's the same i hope it can help.

what is 252 in index form

Answers

Answer: The factors of 252 can either be prime or composite. Subsequently, 252 is an even composite number itself which comprises of factors that are either prime or composite.

Step-by-step explanation:

Factor pair Pair factorization

2 and 126 2 × 126 = 252

3 and 84 3 × 84 = 252

4 and 63 4 × 63 = 252

6 and 42 6 × 42 = 252

solve using the square root method

Answers

two solutions
x= 14
x=0

What is the volume of the triangular prism below?

and can someone tell me how to do this

Answers

Answer:

4.5 ft^3

Step-by-step explanation:

note to convert 18 in. to feet = 1.5 feet

divide the length value by 12

Other Questions
write a response using want to.Shyam has passed BA. He How Human trafficking can campaign of human rights violation Under which conditions the temperature and pressure is a gas most soluble and water Two major components of active listening are __________________. a. effort and focus b. context Is 28110 divisible by 10? What is the measure of angle c? Select the correct answer.A polygon is translated and then stretched vertically. Which statement is correct?A. The translation does not preserve side lengths and angles, but the vertical stretch preserves side lengths and angles of the preimage.B. Neither the translation nor the vertical stretch preserves side lengths and angles of the preimage.C. The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.D. Both the translation and the vertical stretch preserve side lengths and angles of the preimage. find the vaule of 3x + 2 when 7 +x =5 What causes limp Celery to get crispy when soaked in freshwater What happens to a public policy after it has been implemented? Mis abuelos______a visitamos esta semana.A.vineB.vinisteC.vinieron D.vinimos Walt is asked to give a speech to his coworkers, and he decides to try to use a speech written by the great speaker president john f kennedy. walt is unlikely to succeed in his speech because _____. a. the audience will sense that he is being insincere b. the audience will not understand why he is speaking oddly c. the audience will lack engagement with his speech. d. all of the above please select the best answer from the choices provided a b c d Im having trouble finding these answers, its about German politics. Read the excerpt from Act I of The Importance of Being Earnest. [Lady Bracknell.] I have always been of opinion that a man who desires to get married should know either everything or nothing. Which do you know? Jack. [After some hesitation.] I know nothing, Lady Bracknell. Lady Bracknell. I am pleased to hear it. I do not approve of anything that tampers with natural ignorance. Ignorance is like a delicate exotic fruit; touch it and the bloom is gone. The whole theory of modern education is radically unsound. Fortunately in England, at any rate, education produces no effect whatsoever. What does Wildes use of humor critique in this excerpt? marriage education tradition government please help me with the question During a 6-week weight-loss regimen, Tony lost weight at a rate of 1.1 pounds per day. How much did he lose after 16 days? After weeks? Read the adapted excerpt from "What is an Aquarium?" by Shirley Hibberd.The term vivarium applies to any collection of animals-to a park of deer, a rabbit warren, a menagerie, or even a traveling show containing anasthmatic lion, a seedy cockatoo, and a pair of snakes that are hourly stirred up with a long pole. For this reason, such a term could neverconvey the very special idea of a vessel containing such specimens as form the stock of the aquarium. When this was felt, the prefix aqua wasadded to vivarium, to convey the idea of the watery medium in which the specimens are immersed.Which sentence correctly paraphrases and cites the excerpt?O A. The term vivarium applies to any collection of animals-to a parkof deer, a rabbit warren, a menagerie, or even a traveling showcontaining an asthmatic lion, a seedy cockatoo, and a pair of snakes. B. The word vivarium was insufficient to describe the unique enclosuresused to house animals that live in water, so Ne added themore specific prefix aqua to the term.O C. The word vivarium is a broader term thatapplies to any enclosure for animals, so to describe tanks made just for underwatercreatures, we created the term aqua-vivarium (Hibberd). D. The term vivarium applies to the veryspecial idea of a vessel containing such specimens as underwater creatures, conveying thewatery medium in which the specimens are immersed (Hibberd). A ________ state is one with unstable leadership, whose policies are driven by ideology rather than by economic or human costs and benefits. Simplify: 173295+33+115 Can you pls help me