Identify the infinite sequence generated by the formula an = (−1)n ⋅ 2n.

Answers

Answer 1

Answer:

E2020

Step-by-step explanation:

Identify The Infinite Sequence Generated By The Formula An = (1)n 2n.
Answer 2

The infinite sequence can be written as -2, 4, -6, 8 ..... with common difference -2.

What is a geometric sequence?

In a geometric sequence, the ratio of two consecutive terms are always equal.

The general expression for the nth term is given as aₙ = a₁ × rⁿ⁻¹ .

The sum of n terms for this sequence is given as Sₙ = (rⁿ - 1)/(r - 1).

The expression for the general term for the given sequence is as below,

aₙ = (-1)ⁿ2n

The various terms can be written for different values of n as follows,

⇒ a₁ = (-1)¹ × 2 × 1 = -2

⇒ a₂ = (-1)² × 2 × 2 = 4

⇒ a₃ = (-1)³ × 2 × 3 = -6

⇒ a₄ = (-1)⁴ × 2 × 4 = 8

The common ratio can be given as a₂/a₁ = 4/-2 = -2

Hence, the given infinite sequence can be written as -2, 4, -6, 8 ..... with common ratio -2.

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Related Questions

Does this graph represent a function? Why or why not?
10
8
8
+
-10-8-042
2
4
0
8
10
4
-8
-8
-10
O A. Yes, because it is a curved line.
O B. No, because it is not a straight line.
O C. No, because it fails the vertical line test.
O D. Yes, because it passes the vertical line test.

Answers

Answer:

Step-by-step explanation:

D.

No, basically because it fails the vertical line test. The correct option is C.

What is vertical line test?

The vertical line test determines whether a relationship between two variables defines a function. If and only if vertical lines intersect the graph at least once, a relation is a function.

The graph fails the vertical line test because vertical lines intersect it at more than one point.

This means that some x-values correspond to multiple y-values, which violates the definition of a function.

In other words, for each x-value, there should be only one y-value, but this is not the case for all x-values. As a result, the graph does not depict a function.

Thus, the correct option is C.

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Please answer this question

Answers

Answer:

2 : 3

Step-by-step explanation:

There are 24 red and 24 black cards in the pack since ratio is 1 : 1

8 red cards are removed leaving 16 red cards, thus

ratio of red : black = 16 : 24 = 2 : 3 ← in simplest form

Can someone help me with this question?
I have been struggling to answer it.

Answers

Final answer:

The question is about the difficulty in satisfying multiple chemical conditions at once, particularly kinetically favorable conditions and thermodynamically stable conditions, which is a complex task often tested in advanced placement chemistry exams.

Explanation:

The question pertains to the challenges associated with satisfying multiple conditions simultaneously in the context of a Chemistry Advanced Placement (AP) Examination. Students often find it difficult to address complex problems where multiple variables must be considered and optimized at the same time. In chemistry, achieving this can involve understanding and balancing various principles such as reaction rates, equilibrium positions, and thermodynamic stability.

In reference to the AP Chemistry exam, students might come across questions that require not just recall of facts or formulas but also the application of these in dynamic scenarios. For instance, satisfying both the kinetic and thermodynamic requirements in a chemical reaction is often challenging. This is because conditions favorable for kinetics, which may involve higher temperatures to increase reaction rates, might adversely affect the thermodynamics by shifting the equilibrium away from the desired products. On the other hand, conditions that favor thermodynamic stability might result in slower reaction rates. Therefore, finding a balance where both kinetics and thermodynamics conditions are optimized is a complex task and is a concept featured in advanced placement chemistry content.

The examination of such complex issues can involve analyzing various aspects and outcomes of a reaction, predicting how changes in conditions could influence the course of the reaction, and understanding the conceptual underpinnings that govern these processes. It is a clear representation of the depth and detail expected at the college level of chemistry education, particularly AP level studies.

Simplify to create an equivalent expression
8k - 5(-5k + 3
Choose 1 answer:
A.33k +15
B.33k – 15
C.3k +3
D.3k-3

Answers

B 33k- 15 hope it helps

A school buys pens and pencils from a supplier. The supplier charges $0.05 for each pencil and $0.25 for each pen. The school pays $400 for the pens and pencils. If the school bought 1500 pencils, how many pens did the school buy?

Answers

Answer:

1460 pens

Step-by-step explanation:

0.05 x 1500 = $75

400 - 75 = $325

325 divided by 0.25
= 1300

the school bought 1300 pens



Find the measure of

Answers

sorry been trying to find something to say but i don't have a answer for it  wish i could help

Answer:

28 degrees

Step-by-step explanation:

since DBE is 90 degrees, ABE is 90 degrees as well

given that BEF is 62 degrees

you need to subtract 90 from 62

to get 28 degrees as your answer

The value of the expression 2x + x(100 – 15x) when x = 5 is
119
129
135
145

Answers

Answer:

[tex]135[/tex]

Step-by-step explanation:

[tex]2(5) + 5(100 - 15(5))\\10 + 500-375\\135[/tex]

The value of the expression 2x + x(100 – 15x) when x = 5 is 135.

What is an expression?

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

The given expression is,

2x + x(100 – 15x)

Now we have to find the value of expression when x = 5

Put the value of x in the given expression we get,

2(5) + 5(100 – 15*5)

solving the brackets we get,

10 + 5( 100 - 75)

10 + 5*25

10 + 125

135

hence, the value of the expression 2x + x(100 – 15x) when x = 5 is 135.

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The function f (x) = -x^2 + 4x - 3 is graphed in the xy-coordinate plane as shown based on the graph of the function which of the following statements are true. Select all that apply

Answers

Answer:

In the picture attached, the function f(x) = -x² + 4x - 3 is shown.

Based on the graph of the function, the following statements are true:

f(x) < 0 on the interval x < 0f(x) < 0 on the interval 0 < x < 1f(x) > 0 on the interval 1 < x < 3f(x) < 0 on the interval x > 3

FOR BRAINLIEST BRAINLIEST!! EASY MATH, Give EXPLANATION with it.

Answers

Answer:

Just about 5-6-7. In that range

Step-by-step explanation:

you have to count up all the fully shaded in squares. And then what u have to do is try and put together the half of squares and so on while counting them up. It is an esta=mation question- mostly.

Answer:

you make squares around it to find the area

Step-by-step explanation:

hope this helps

The following data show the scores Gina obtained on 12 IQ tests:

93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86

The box plot below represents the data:

box plot has minimum value equal to 74, lower quartile equal to 83, median equal to 86.5, upper quartile equal to 89 and maximum value equal to 94

Which of the following is shown incorrectly in the box plot? (5 points)


Median

Lower quartile

Upper quartile

Maximum value

Answers

Answer:
The Upper Quartile is incorrect

Explanation:
Hope it helps :)

The upper quartile is shown incorrectly in the box plot. So, the third option is correct.

It is given that,

Data values are: 93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86.Box plot has a minimum value equal to 74, lower quartile equal to 83, median equal to 86.5, upper quartile equal to 89, and a maximum value equal to 94.

Explanation:

Arrange the data values in ascending order.

74, 74, 83, 83, 83, 86, 87, 90, 92, 93, 93, 94

Divide the data in 4 equal parts.

(74, 74, 83), (83, 83, 86), (87, 90, 92), (93, 93, 94)

Now,

Minimum value: 74

First quartile: [tex]\dfrac{83+83}{2}=83[/tex]

Median: [tex]\dfrac{86+87}{2}=86.5[/tex]

Third quartile: [tex]\dfrac{92+93}{2}=92.5[/tex]

Maximum value: 94

The value of the upper quartile in the box plot is 89 which is not equal to 92.5. Thus, the third option is correct.

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58

72

55

65

70

81

66


Consider the speed in miles per hour that Officer Williams clocked the last seven drivers at with his radar. Find the interquartile range of the speeds.

Answers

Answer:

Answer: 14

Step-by-step explanation:

14

interquartile range = upper quartile - lower quartile

first, order the scores from least to greatest

55, 58, 65, 66, 70, 72, 81

thus, UQ = 72 and LQ = 58

IQR = UQ - LQ = 72 - 58 = 14

How did you use similarity to find the areas and circumferences of circles? How are the radius and diameter of a circle related?

Answers

To find areas and circumferences of circles using similarity, we scale proportions from known circles to unknown circles. The diameter is twice the radius (d = 2r), allowing us to use formulas C = 2πr for circumference and A = πr^2 for area.

To determine the area and circumference of circles using similarity, we can scale up or down from a known circle to an unknown one. The relationships between circles of different sizes but with proportional radii allow us to use the similarity concept. For example, if a small circle has a radius that is half the radius of a larger circle, the area and circumference will also be in proportion to the squares and the linear dimensions, respectively.

The radius (r) and diameter (d) of a circle are directly related by the equation d = 2r. This means that diameter is twice the radius. Given the radius, we can determine the circumference of a circle (C = 2πr) and its area (A = πr2) easily. The role of π (approximately 3.14159) is critical as it provides the constant of proportionality in these equations.

(ANSWER ALL QUESTIONS FOR 60 POINTS AND BRAINLYEST)
Question 1 (1 point)
The coordinate (0,0) is a point on the graph y = 2x.

Question 1 options:
True
False
Question 2 (1 point)
The coordinate (1,2) is a point on the graph of y = 2x.

Question 2 options:
True
False
Question 3 (1 point)
Which coordinate is a point on the graph of y = 2x + 2

Question 3 options:

(2,4)


(0,0)


(1, 3)


(2,6)

Question 4 (1 point)
Which equation has the coordinate (0, 2) as a point on its graph?

Question 4 options:

y = x - 2


y = x + 2


y = 2


y = 2x

Question 5 (1 point)
In slope intercept form, y = mx + b.

Which variable represents the slope of this equation's graph?

Question 5 options:

b


x


m


y

Answers

Answer:

answer to q1= True

q2= true

q3= x2y6

q4= y+x+2

q5= y

Answer:

Answer to question 1. True

Answer to question 2. True

Answer to question 3.  2,6

Answer to question 4. I think it is y=x+2

Answer to question 5. I'm pretty sure it is M

I hope this helped if they were wrong I'm sorry.

given f(x)=2x^2-3 and g(x) = x+4 What is (fg)(x)?

Answers

Answer: [tex]f(g(x))=2x^2+16x+29[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-3\\g(x)=x+4[/tex]

f of g of x means "function f, replace x by the value of g of x"

[tex]f(g(x))=2x^2-3\\f(g(x))=2(x+4)^2-3\\f(g(x))=2(x^2+8x+16)-3\\f(g(x))=2x^2+16x+32-3\\f(g(x))=2x^2+16x+29[/tex]

Answer:

2x^3+8x^2−3x−12

Step-by-step explanation:

Given f(x)=2x^2−3 and g(x)=x+4.

What is (fg)(x)?

2x^3+8x^2−3x−12

32. What is the degree of the monomial?
7x^8
A-7
B-8
C-15
D-56​

Answers

Answer:

B - 8

Step-by-step explanation:

The answer is 8 because when determining the degree of any polynomial you find the sum of all the exponents that are attached to variables.

Since there's only one variable then you only have to take the number attached to the variable "x" which is 8.

Combine the like terms to create an equivalent expression:
- k + 3k

Answers

Answer:

2k

Step-by-step explanation:

- k + 3k

3k - k

2k

You Are Planting a garden in the shape of an equilateral triangle as shown in the diagram. You want to find the area of the garden to determine how much topsoil you will need. Substitute the values of b and h in the formula A = 1/2 • b • h for the area of the garden.

Answers

The area of the garden 16√3 ft².

Given: garden base = 8 ft

Find:

Garden surface area =?

First, we must determine the height of the triangle.

82 42 = Height

Height = 64 - 16

Height = 48 cm

43 inches in height

Calculating the garden's area

Garden area = half of bxh

Garden surface area = 1/2 8 43

Garden surface area = 16v/3 ft2

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Factor completely 3x2 − x + 5.

Answers

Factor completely would be -x+11
2x+7
Is there supposed to be a plus sign before 2?

PLEASE HELP!!!
Adele is paid a weekly salary of $685. She is paid an additional $23.50 for every hour of overtime she works. This week her total pay, including regular salary and overtime was $849.50. how many hours of overtime did Adele work this week?

Answers

Answer:

7

Step-by-step explanation:

$849.50-$685=$164.50 which is less than 685 so it all had to be overtime hours then I did 164.50 ÷ $23.50 and got 7

Solve for x 7(x - 9) = 8x - 6

Answers

Answer:

x= -57

Step-by-step explanation:

7x-63+8x-6

-x-63-7

-x=57

x=-57

Answer:

x = -57

Step-by-step explanation:

Simplify both sides of the equation:

Distribute:

(7)(x) + (7)(-9) = 8x + -6

7x + -63 = 8x -6

7x - 63 = 8x - 6

Subtract 8x from both sides

7x−63−8x=8x−6−8x

−x − 63 = −6

Add 63 to both sides

−x − 63 + 63 = −6 + 63

-x = 57

Divide both sides by -1

-x / -1 = 57 / -1

Therefore, you get x = -57

Marissa is an event organizer for a charity group. She is organizing a five-hour dinner event being held to raise funds for the charity. The
following list shows the costs for hosting the event.
• Facility Rental: $150 per hour of event
• Linens: $2 per attendee
• Food: $20 per attendee
• Table Decorations: 33 per attendee
. Musical Entertainment: $1,800 (flat fee)
• Cleaning Fee: $250 (Mat fee)
The total cost of the event, with n attendees, is represented by the given expression
25 + 2,800

Answers

2825 is the answer for your problem

What is the value of x ? Special right triangle

Answers

Uuuuuuuuuuuuuuuuuuuuu

You flip a fair coin.


What is \text{P(tails})P(tails)start text, P, left parenthesis, t, a, i, l, s, end text, right parenthesis?


If necessary, round your answer to 222 decimal places.

Answers

Question:

You flip a fair coin. What is P(tails)?

If necessary, round your answer to 2 decimal places.

Answer:

P(tail) = 0.5

Step-by-step explanation:

Given:

A fair die

Required

P(Tails)

A fair die has 2 sides, the head and the tail; each of the sides have equal probability.

The number of head in a die is 1 and the number of a tail in a die is 2.

Let P(tail) represent the probability of obtaining a tail.

P(tail) is calculated by number of tail divided by number of sides of a die.

Hence, P(tail) = ½

P(tail) = 0.50

"The probability of getting tails when flipping a fair coin is [tex]\(\frac{1}{2}\)[/tex] or 0.5.

A fair coin has two equally likely outcomes: heads or tails. Since a fair coin has no bias towards either side, the probability of landing on tails is the same as the probability of landing on heads.

The probability of an event E, denoted as P(E), is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the event E is getting tails. There is one favorable outcome for getting tails, and there are two possible outcomes in total (heads or tails).

Therefore, the probability of getting tails, P(tails), is given by:

[tex]\[ P(\text{tails}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{2} \][/tex]

This fraction simplifies to 0.5, which is the correct probability of getting tails when flipping a fair coin. There is no need to round to 222 decimal places as the probability is exact.

Choose four endpoints and connect them to make a trapezoid with only 1 pair of opposite sides that are paraell

Answers

we can;t answer question that need a graph without you showing the graph

A chef keeps track of the temperature of his refrigerator in degrees Celsius. What is the level of measurement of data?

Answers

Answer:

interval level of measurement

Step-by-step explanation:

Interval level of measurement is numeric and allows for mathematical operations like mean. It is quantitative and in fixed units, i.e changes in values are as a result of a phenomenon. It does not have a zero point i.e a value of zero does not mean what you are measuring is absent, for example a temperature of 0°C do not mean there is no heat applied. It specifies the distance between intervals.

Compare the two figures. How many times bigger or smaller is the cone to
the pyramid? Round your answer to the nearest tenth. Explain how you
found your answer and show your work. Write your answer in the space
provided and explain your answer in relation to the problem.

Answers

Answer:

The proportion of the volume of the cone to the volume of the pyramid is: 3.14 times bigger.

Step-by-step explanation:

Given the information of the cone:

The height: 12 inchesThe radius of the base is : 10/2= 5 inches

=> the volume of the cone

= 1/3π[tex]r^{2} *h[/tex]

= 1/3*3.14*[tex]5^{2} *12[/tex]

= 314 cubic inches

Given the information of the pyramid:

the height: 12 inchesThe base is a suqare with a side lengh = 5 inches  

=> the volume of the pyramid:

= 1/3*Bh            (where B is the area of the base)

= 1/3*5*5*12

= 100 cubic inches

The proportion of the volume of the cone to the volume of the pyramid is:

= 314 /100

= 3.14 times bigger.

Hope it will find you well

Lindsay shot a model rocket over an area that consists of two grassy areas shown in green and an area without grass, shown in white. What is the probability that his rocket landed in the area WITHOUT grass?


A. 3/5

B. 4/5

C. 3/4

D.3/10

Answers

Answer: 3/5

Step-by-step explanation:

If 30 acres are without grass and 20 acres have grass then you set up a fraction with the area without grass on top and the total area on the bottom which would be 30/50 then simplify to get 3/5

find the exact length of the third side

Answers

Answer:

[tex] \sqrt{74} [/tex]

Step-by-step explanation:

Use the Pythagorean theorem.

[tex] a^2 + b^2 = c^2 [/tex]

We are solving for the hypotenuse, c.

[tex] c^2 = a^2 + b^2 [/tex]

[tex] c^2 = 5^2 + 7^2 [/tex]

[tex] c^2 = 25 + 49 [/tex]

[tex] c^2 = 74 [/tex]

[tex] c = \sqrt{74} [/tex]

Answer: [tex] \sqrt{74} [/tex]

(1, 13)
(-2,4)
O
A. y- 4 = 3(x+2)
B. y- 4 = 3 (x-2)
C. y-1 = 3(x - 13)
D. y- 2 = 3(x - 4)

Answers

D is the answer because the y =-2 so that's why that's the answer

There are 12 sixth graders, 14 seventh graders,
and 7 eighth graders in a gym class. The gym
teacher randomly selects one student to collect
balls. In how many ways can choosing not a
seventh grader occur?

Answers

The requried there are 19 ways to choose a student who is not a seventh grader.

What is arithmetic?

Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.

There are a total of 12 + 14 + 7 = 33 students in the gym class.

The number of ways to choose a student who is not a seventh grader is equal to the number of ways to choose a sixth grader or an eighth grader.

The number of ways to choose a sixth grader is 12, and the number of ways to choose an eighth grader is 7.

So the total number of ways to choose not a seventh grader is:

12 + 7 = 19

Therefore, there are 19 ways to choose a student who is not a seventh grader.

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Final answer:

The requried there are 19 ways to choose a student who is not a seventh grader.

Explanation:

In this scenario, we need to find the ways of choosing not a seventh grader from the gym class.

To do this, we calculate the total number of ways to select a student from the gym class and then subtract the ways of selecting a seventh grader.

The total number of ways to select a student from the gym class is 12 (sixth graders) + 14 (seventh graders) + 7 (eighth graders) = 33.

The number of ways of selecting a seventh grader is 14 (since there are 14 seventh graders).

Therefore, the number of ways of not choosing a seventh grader is 33 - 14 = 19 ways.

So, there are 19 ways to choose not a seventh grader.

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Red Blossom Corporation transferred its 40 percent interest to Tea Company as part of a complete liquidation of the company. In the exchange, Red Blossom received land with a fair market value of $545,000. The corporation's basis in the Tea Company stock was $500,000. The land had a basis to Tea Company of $780,000. What amount of gain does Red Blossom recognize in the exchange and what is its basis in the land it receives Kayla has 36 yellow stickers, 27 red stickers, and 18 blue stickers. She wants to distribute the stickers into bags so that each bag contains only one color of stickers and every bag has the same number of stickers. How many stickers can Kayla put in each bag? as the angle of incidence of light increases, what happens to the angle of refraction? Olivia ordered a shirt online that cost her $38 total.The package arrived late so the seller took 16% offthe price. How much did she end up paying?I NEED UT TODAY Select the indicated angle of rotation in standard position.A positive angle coterminal to 132A.492B.497C.502D.487A positive angle cotermincal to 132 is . 14. Why was the poll tax effective?(Help please) PLEASE HELP ITS AN EMERGENCY . Which three-dimensional figure is modeled by the net below?F. rectangular prismG. triangular prismH. square pyramid I. rectangular pyramid Early in your own development, a subset of diploid cells called ____________ began to develop within your pre-ectodermal tissue. These cells will eventually lodge in the gonadal ridge. Still later they will go through meiosis and give rise to primary oocytes or primary spermatocytes. A square has a side that measures 5.5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for , and round your answer to the nearest hundredth. Which of the following is an example of countercyclical monetary policy posing a danger of overreaction? Select all that apply: Loose monetary policy seeking to end a recession goes too far and triggers inflation. Tight monetary policy seeking to reduce inflation goes too far and begins a recession. Tight fiscal policy seeking to reduce inflation goes too far and begins a recession. Loose fiscal policy seeking to end a recession goes too far and triggers inflation. Insigne Co. uses a periodic inventory system. Beginning inventory on January 1 was overstated by $31,700, and its ending inventory on December 31 was overstated by $16,300. In addition, a purchase of merchandise costing $74,000 was incorrectly recorded as a $7,400 purchase. None of these errors were discovered until the next year. As a result, taxable income for this year was: 5) Plasma osmolarity is approximately:a) 300mOsmb) 0.3 Osmc) 300 x 10-3 Osmd) They are all correct Please help me out! I have only 1 hour left! I will give brainlist to correct answers. 5 stars and thanks for ALL answers, even asking for details. Select all the expressions that have a valuealwaysgreater than 18,204.A. 18,204 x 6B. 18,204 xlengthC. 18,204 x 1use anglesD. 18,204 x310E. 18,204 BRAINLIEST!!1. Solve log2 x = 5.PLZ HELP Write down the number that is equal to the fifth power of 10 When Holly injures her shoulder playing baseball, she uses an instant ice pack to reduce the swelling. She breaks the inner, activator portion of the instant cold pack releasing the solid urea into the surrounding water. What process does Holly observe as she uses the cold pack? A)Urea absorbs and releases heat energy into the surroundings. B)When the urea dissolves it absorbs heat and the cold pack gets colder. C)The urea causes the surroundings heat up as the cold pack releases energy. D)As the urea mixes in the water it releases heat making the cold pack colder. What is the measure of angle f? 3.Lines 361382: What does the dialogue between Dexter and Judy in these lines reveal about each character? Steam Workshop Downloader