12.1 arithmetic sequences evaluate homework and practice

Answers

Answer 1

A small template to work with arithmetic sequences is given in this problem.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

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

In which [tex]a_1[/tex] is the first term.

The sum of the first n terms is given by:

[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]

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Related Questions

Why does the speaker in "the tropics in new york" weep at the end of the poem? question 1 options: he is hungry and cannot buy fruit to eat. He has lost his belief in religion. He is overwhelmed with nostalgia for the home of his past. He has lost his vision and cannot see clearly

Answers

The speaker in "the tropics in New York" weep at the end of the poem because He is overwhelmed with nostalgia for the home of his past.

Why does the speaker in the tropics in New York weep?

In "The Tropics in New York," is known to be a poem that tells about the memories of the speaker.

The reason why I think the speaker weeps is that  The poet is trying to remembering her homeland and as such, he weeps because she misses it.

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Answer:

HE IS OVERWHELMED WITH NOSTALGIA FOR THE HOME OF HIS PAST

Explanation:

I HOPE THIS HELPS

Our school starts at 10 o'clock change into when question

Answers

When does school start?

Which monomials are perfect squares? select three options

Answers

Answer:

what are the options

Explanation:

what are the options

What is another word that can be used to describe "homeostasis"?

Answers

another word for “homeostasis” is equilibrium

peripheral used in a sentence

Answers

Answer:

They hadn't traveled far down the trail before she got a peripheral view of the building.

Explanation:

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By applying the strategy of containment, the united states hoped to prevent the

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By applying the containment strategy, the United States' objective was to prevent the expansion of the Soviet Union's influence in the world.

What is the containment strategy?

It can be understood as a foreign policy strategy to prevent the spread of the communist system, being the policy that guided the Cold war, which took place between the USA and the USSR after the end of the second world war.

Therefore, the containment strategy is a foreign policy that aimed to influence the allies to prevent the strengthening of communism.

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Message left on voicemail: "hi nikki! just landed at the airport. How about dinner this evening if you're available. Call me!" which of the following characteristics of useful information is absent in the situation described above?

Answers

Answer:

Option C

Explanation:

Options:
A) relevant

B) reliable

C) complete

D) timely

E) understandable

F) verifiable

G) accessible

Your answer is option C or "complete." The person who is messaging Nikki did not complete the voicemail. She didn't tell Nikki where to meet for dinner or at what time she just said this evening which gives Nikki no information on when and where to meet this person for dinner. This is a incomplete voicemail which means one of the important characteristics of useful information missing from this voicemail is the complete voicemail for Nikki.

Hope this helps.

In which one of the following situations will there be an increase in kinetic energy?

Answers

The situation that will result to an increase in kinetic energy is when a ball starts from rest and freely rolls downhill.

What is a kinetic energy?

A kinetic energy refers to an energy generated by an object as a result of the its motion.

When a ball starts from rest and freely rolls downhill, its generates an energy from its free motion.

Therefore, the Option B is correct.

Missing options "A) A projectile approaches its maximum height, B) A ball starts from rest and freely rolls downhill, C) A box is pulled across a rough floor at constant speed, D) A satellite travels in a circular orbit around the earth at fixed altitude, E) A stone at the end of a string is whirled in a horizontal circle at constant speed."

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Which measure of center should you use to describe two data sets that are both not symmetric?

Answers

Im sure its Mean & median or if its one answer its median

The process of labelling deviants is also known as

Answers

Answer:

Labeling theory.

meaning: Labeling theory is an approach in the sociology of deviance that focuses on the ways in which the agents of social control attach stigmatizing stereotypes to particular groups, and the ways in which the stigmatized change their behavior once labeled.

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Write a note to your pen pal about the kinds of music you like best. In addition, write about any instruments you might play. Be sure you use at least 5-6 complete spanish sentences in your response. You will be graded on (a) appropriateness of your response, (b) correct verb usage, (c) vocabulary usage and (d) overall quality of your response

Answers

Answer:

u can play the drums?

Explanation:

bc u can make drums out of anythig in the olden days

Nucleophilicity is a kinetic property. A higher nucleophilicity indicates that the nucleophile will easily donate its electrons to the electrophile and that the reaction will occur at the faster rate. The reaction rate also depends on the nature of the electrophile and solvent. Rank the following reactions from fastest to slowest based on the nucleophilicity of the nucleophile

Answers

From the fastest to the slowest based on the nucleophilicity of the nucleophiles, the order is represented as:

[tex]\mathbf{(CH_3)_2N^- +CH_3 -Br \to (CH_3)_2NCH_3+Br^- \ }\\ \\ \\ \mathbf{CH_3NH^- +CH_3 -Br \to CH_3NHCH_3+Br^- \ } \\ \\ \\ \mathbf{H_3N^- +CH_3 -Br \to CH_3NH_2 + Br^- \ }[/tex]

What are Nucleophilic functional groups?

Nucleophilic functional groups include electron-rich atoms capable of donating an electron pair in order to establish a new chemical covalent bond. The most frequent nucleophilic functional groups are:

Water, Alcohols, Phenols, Amines, Thiols,  etc

The protonation state of these functional groups has an effect on their nucleophilicity. Also, the trend of nucleophilicity goes from:

Tertiary,Secondary, Primary

The following reactions that we are supposed to find their order is given as follows:

[tex]\mathbf{CH_3NH^- +CH_3 -Br \to CH_3NHCH_3+Br^-} \\ \\ \\ \mathbf{(CH_3)_2N^- +CH_3 -Br \to (CH_3)_2NCH_3+Br^-} \\ \\ \\ \mathbf{H_3N^- +CH_3 -Br \to CH_3NH_2 + Br^-}[/tex]

From the fastest trend of the nucleophilicity of the nucleophile to the slowest, the correct arrangement is as follows:

[tex]\mathbf{(CH_3)_2N^- +CH_3 -Br \to (CH_3)_2NCH_3+Br^- \ \ \ ---(2'' \ ^0) \ \\}\\ \\ \\ \mathbf{CH_3NH^- +CH_3 -Br \to CH_3NHCH_3+Br^- \ \ \ \ ---(1^0) } \\ \\ \\ \mathbf{H_3N^- +CH_3 -Br \to CH_3NH_2 + Br^- \ \ \ --- \ \ \ \ (1^0)}[/tex]

The first reaction has two functional groups of methyl (-CH_3) attached to it which increases its nucleophilicity to the second one which has one methyl functional group attached to it.

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Dani sells roses in a competitive market where the price of a rose is $8. Use this information to fill out the revenue columns in the table below

Answers

Filling the total revenue, average revenue, and marginal revenue table for Dani is as follows:

Quantity       Total revenue ($)      Average revenue      Marginal revenue

of roses  

1                             $8.00                      $8.00                        $8.00

2                           $16.00                      $8.00                        $8.00

3                          $24.00                      $8.00                        $8.00

4                          $32.00                      $8.00                        $8.00

5                         $40.00                       $8.00                       $8.00

How to calculate the different revenues?Total revenue = Quantity x Sales PriceAverage revenue = Total revenue/QuantityMarginal revenue = Difference between Initial Revenue and Current Revenue

Data and Calculations:

Quantity       Total revenue ($)      Average revenue      Marginal revenue

of roses  

1

2

3

4

5

Price per rose = $8

Thus, when Dani sells 5 units of roses, he will get a total revenue of $40, though the marginal and average revenues remain at $8, respectively.

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Micah is 1 of 28 students in a class. Micah's teacher is going to randomly select 3 students from their class to
visit a classroom of younger students.
What is the probability Micah is included in the group of students chosen?

Answers

Answer:

10.71%

The probability of her getting picked is unlikely :)

Explanation:

3/28 = 10.71%

The probability of her getting picked is unlikely

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Note that the probability that Micah is included in the group of students chosen is approximately 0.000305, or about 0.03%.

How to compute the above probability

Micah's probability of being included in the group of students chosen can be calculated using combinations. There are a total of 28 students in the class, and the teacher is selecting 3 students.

The probability of Micah being chosen can be calculated as:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

Number of favorable outcomes = 1 (Micah being selected)

Total number of possible outcomes = Number of ways to choose 3 students out of 28 = C(28, 3) = 3276

Probability = 1 / 3276

≈ 0.000305

So, the probability that Micah is included in the group of students chosen is approximately 0.000305, or about 0.03%.

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The explicit rule for a sequence is given. An=12(43)n−1 enter the recursive rule for the geometric sequence

Answers

Answer:

a1=1/2 an=4/3 x an−1

Explanation:

Write down an expression for the range of k consecutive integers

Answers

We will find that the range of this set is k - 1.
The range of a set is given by the difference between the largest number and the smallest number.
Two consecutive integers are written as:
N and (N + 1).
Where N is a given integer.
Then the set of k consecutive integers is:
{N, N + 1, ..., N + k - 1}
The range is just the difference between the largest and the smallest number, we will get:
(N + k - 1) - N = k - 1
The range of this set is k - 1

The object will have a minimum gravitational potential energy at point

Answers

The Height is minimum
Hope this helps
Good luck

The upper limit of the zone of saturation is known as

Answers

It is known as the water table.

Max (mass = 15 kg) is hanging from one end of a 13-m long bungee cord that has its other end fixed to a bridge above. The bungee cord has a circular cross section with a diameter of 2. 5 cm, and a young’s modulus of 17 mpa. What is the stress in the bungee cord due to max’s weight?

Answers

The stress experimented by the bungee cord due to Max's weight is approximately 299.680 kilopascals.

How to find the stress experimented by the bungee cord

Let suppose that the stress ([tex]\sigma[/tex]), in pascals, experimented by the bungee cord is entirely elastic and uniform. By Newton's Laws we know that the tension ([tex]T[/tex]), in newtons, experimented by the cord equals Max's weight. The stress on the bungee cord is axial and is described by following formula:

[tex]\sigma = \frac{m\cdot g}{\frac{\pi\cdot D^{2}}{4} }[/tex]   (1)

Where:

[tex]m[/tex] - Max's mass, in kilograms[tex]g[/tex] - Gravitational acceleration, in meters per square second[tex]D[/tex] - Diameter of the circular cross section, in meters

If we know that [tex]m = 15\,kg[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]D = 0.025\,m[/tex], then the stress experimented by the bungee cord is:

[tex]\sigma = \frac{(15\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}{\frac{\pi}{4}\cdot (0.025\,m)^{2} }[/tex]

[tex]\sigma \approx 299679.845\,Pa\, (299.680\,kPa)[/tex]

The stress experimented by the bungee cord due to Max's weight is approximately 299.680 kilopascals. [tex]\blacksquare[/tex]

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According to the article how are true friends identified

Answers

Answer:

True friends can also be your best friends they are identified by being there for you and tell ya every thang

In peas, purple flowers are dominant over white flowers. If two heterozygotes are crossed, what fraction of the population will have white flowers?

Answers

The fraction of the population will have white flowers after the crossing of the heterozygotes is; 1/2

What is the result of the heterozygote crossing?

P = purple gene

p = white gene

Punnet squares shows the possible genotypes and probabilities of each genotype in the offspring of a cross:

Purple flower genotype (heterozygous) = Pp

White flower genotype = pp

Potential genotypes for offspring are Pp and pp;

According to the Punnett square, 2 of 4 offspring will have the Pp genotype and the other 2 will have pp genotypes;

This means 2 should be purple and 2 white which translates to the fact that there is a 50% chance of having either genotype, of being purple or white.

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A food worker needs to thaw a package of chicken wings

Answers

Answer:

When the frozen chicken is thawed, it should be placed in the refrigerator. The frosted chicken should be placed in a zip-lock bag

The frozen chicken is thawed, it needs to be kept in a refrigerator and the frosted chicken should be placed into a ziplock bag.

What does defrost means ?

The deforst or thaw is a piece of snow or ice that is used by the food worker for making and keeping the food items intact and for this they need to be kept in a refrigerator for some time so that they can be processed and hence are stored at certain temperatures. Thus later on moved into a zip bag.

Find out more information out the thaw.

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What is the length of line segment mn? 4 units 6 units 18 units 24 units

Answers

A line segment is regarded as a portion of a line that has two endpoints. The length of line segment MN is 18 units.

What are line segments?

A line is known to be  kind of uni-dimensional shape that is said to range from  both directions that is said to never ends. A line segment is said to be a portion of the line and it is said to be the smallest distance between the two points that are said to be measured.

Note that if 2 chords intersect in a circle, what is gotten of their segments are said to be equal.

Therefore 9 * (x +1) = 15 * (x -1)

9x +9 = 15x -15

24 = 6x

x = 4

Therefore:

Line AD = 9 + x + 1

Line AD = 14

Line MN = 15 + x -1

Line MN = 18

So the correct option is 18 units.

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Answer:

18

Explanation:

Trait theorists are generally more interested in __________ rather than __________. please select the best answer from the choices provided assessing abnormal behavior. . . explaining why behavior occurs explaining why behavior occurs . . . predicting behavioral patterns assessing abnormal behavior . . . describing patterns of behavior describing patterns of behavior . . . explaining why behavior occurs

Answers

Trait theorists are generally more interested in explaining why behavior occurs  rather than predicting behavioral patterns.

What is Trait theorists?

Trait theorists serves as one that focus on the behavior as well as how the behavioroccurred.

Therefore it is more on behavioral patterns which focus on the attitude of individuals.

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Answer:

explaining why behavior occurs.... . predicting behavioral patterns

Explanation:

yea

The half life of a radioactive substance is 15 years

Answers

Answer is: s(t)=200(1/2)^t/13

You get a $60,000 loan for a new dump truck. With the truck, you can generate $500 more business each week at 80% margin. Your interest rate on the loan is 8. 6%. Does the additional margin generated cover the interest payments?

Answers

Assuming your interest rate on the loan is 8. 6%. The additional margin generated will cover the interest payments.

Additional margin

Let determine the weekly interest

Weekly interest= 8.6% /12 x 60,000

Weekly interest= $99.23

Let calculate the amount left since the business generates $500 at a margin of 80

Amount left= 500 x 80%

Amount left= $400

Based on the above calculation we can see that the amount of $400 is sufficient enough to cover the $99.23 payments.

Inconclusion  the additional margin generated cover the interest payments.

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What property justifies the statement ""any real number is always equal to itself.""?

Answers

The property that justifies the statement "any real number is always equal to itself." is; Reflexive Property

What is reflexive property?

In algebra, the reflexive property of equality is a property of algebra which states that a number is always equal to itself. Thus, if x is a number, then. x = x.

Reflexive properties are also used even in congruency theorems and similarity theorems of triangles.

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Which of the following observations would provide the strongest evidence that two plants belong to different biological species?

Answers

Answer:They produce viable but sterile offspring.

Explanation:

Big ideas math: record and practice journal (blue) answers

Answers

A conditional statement, symbolized by p → q, can be written as an “if-then

statement” in which p is the hypothesis and q is the conclusion. Here is an example.

hypothesis, conclusion,

If a polygon is a triangle, then the sum of its angle measures is 180 .

p q

°  

What was one of the tests that lavoisier performed to prove the law of conservation of mass?

Answers

Answer:

Lavoisier carefully checked that the mass of reacted water (the mass loss of the retort subtracted from the mass increase of the collecting bottle) equaled the total mass of hydrogen collected in the bell jar and oxygen calculated from iron weight increase.

Explanation:

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