Based on its number of terms, what is the

polynomial 2p2 – 2p called?


PLS HELP

Answer:

7r² - 6r + 9

Step-by-step explanation:

Simply combine like terms to find our final polynomial:

8r² - 7r - 9 - r² + r

7r² - 6r + 9

Answer:

7r^2-6r-9

Step-by-step explanation:

8r^2-7r-9-r^2+r

(8r^2-r^2)+(-7r+r)-9

bring to standard form

7r^2-6r-9

Answer:

corresponding angles postulate

Step-by-step explanation:

just took the test ;)

Answer: Corresponding angles postulate

Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Given solution of a question done by two people.

Jenna's method

5(30+4)

(5)(30)+(5)(4)

150+20=170

Mia's method

5(30+4)

5(34)=170

We are required to find why they have achieved at the same answer.

Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.

Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Learn more about multiplication at https://brainly.com/question/10873737

#SPJ1

To determine whether the given sequence converges or diverges, we will examine each of the provided sequences and find their respective limits as n approaches infinity.

1. an = (-1)^n

The sequence alternates between -1 and 1 as n increases. Since it does not approach a specific value, the sequence diverges. Your answer for this sequence is NONE.

2. an = n^2 * e^(-n)

To find the limit as n approaches infinity, we can apply L'Hopital's Rule:

lim (n^2) / (e^n) as n approaches infinity.

Applying L'Hopital's Rule twice, we get:

lim (2n) / (e^n) and then lim (2) / (e^n).

As n approaches infinity, the denominator (e^n) increases without bound, so the limit becomes 0. The sequence converges to 0.

3. an = (3n - 1)! / (3n + 1)!

To find the limit as n approaches infinity, let's rewrite the sequence as:

an = 1 / [(3n)(3n + 1)]

As n approaches infinity, the denominator (3n)(3n + 1) increases without bound, and the sequence converges to 0.

In summary:
1. The sequence (-1)^n diverges (NONE).
2. The sequence n^2 * e^(-n) converges to 0.
3. The sequence (3n - 1)! / (3n + 1)! converges to 0.

Learn more about sequence converges or diverges:

https://brainly.com/question/18371499

#SPJ11

There are total 95040 number of different groups of 5 items can be selected from 12 distinct item.

According to the given question.

Total number of items, n = 12

Total numbers of items to be selected, r = 5

Since, we have to determine the number of different groups of 5 items that can be selected from 12 distinct items. So, we will find the number of different groups by permulation formula i.e.

\(^{n} P_{r} = \frac{n!}{(n-r)!}\)

Where,

\(^{n} P_{r}\) is the total number of permutations.

n is the total number of objects.

r is teh total number of objects to be selected.

Therefore,

The number of different groups or permutaions of 5 items that can be selected from 12 distinct group

\(^{12} P_{5}\)

\(= \frac{12!}{(12-5)!}\)

\(= \frac{12!}{7!}\)

\(= \frac{12\times11\times10\times9\times8\times7!}{7!}\)

= 12 × 11 × 10 × 9 × 8

= 95040

Hence, there are total 95040 number of different groups of 5 items can be selected from 12 distinct item.

Find out more information about permuation here:

https://brainly.com/question/1216161

#SPJ4

Answer:

π/4

Step-by-step explanation:

45 * π/180 = π/4 radians.

"The revenue is always more than the cost," is the incorrect statement in relation to the profit business model. It is untrue that the revenue is always greater than the cost since the cost of manufacturing and providing the service must be considered as well.

The profit business model is a business plan that helps a company establish how much income they expect to generate from sales after all expenses are taken into account. It outlines the strategy for acquiring customers, establishing customer retention, developing the sales process, and setting prices that enable the business to make a profit.

It is important to consider that the company will only make a profit if the total revenue from sales is greater than the expenses. The cost of manufacturing and providing the service must be considered as well. The revenue from selling goods is reduced by the cost of producing those goods.

To know more about profit visit:

https://brainly.com/question/32864864

#SPJ11

The limit is finite and non-zero, the series Σ((-1)^(11n - 3))/(10n + 3) is divergent by the nth term test.

To test the convergence or divergence of the series Σ((-1)^(11n - 3))/(10n + 3) from n = 1 to infinity, we need to find the limit of the expression (11n - 3)/(10n + 3) as n approaches infinity.

To determine the highest power of n in the fraction, we can observe the exponents of n in the numerator and denominator. In this case, the highest power of n is n^1.

Let's calculate the limit:

lim(n→∞) [(11n - 3)/(10n + 3)]

To find the limit, we can divide the numerator and denominator by n:

lim(n→∞) [(11 - 3/n)/(10 + 3/n)]

As n approaches infinity, the terms with 3/n become negligible, and we are left with:

lim(n→∞) [11/10]

The limit evaluates to 11/10, which is a finite value.

Since the limit is finite and non-zero, the series Σ((-1)^(11n - 3))/(10n + 3) is divergent by the nth term test.

To know more about convergence refer to

https://brainly.com/question/15415793

#SPJ11

9514 1404 393

Answer:

  A. 15

  B. -3

  C. x

Step-by-step explanation:

C. Since we want different values of g(f(x)), it is convenient to find that first.

  g(f(x)) = g(2x +9) = ((2x +9) -9)/2 = 2x/2

  g(f(x)) = x

__

A. g(f(15)) = 15

__

B. g(f(-3)) = -3

Answer:

a(b+c) = a into b + a*c

So, 79(457+35) = 79*457 + 79*35

Step-by-step explanation:

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

To more on Progression:
https://brainly.com/question/30442577
#SPJ8

The following distributions has a mean that varies

II. The distribution of sample data

III. The sampling distribution of the sample mean

The correct answer is option v) II and III."

Here, we have,

In the context of statistical distributions:

I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.

II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.

III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.

Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).

To learn more on distribution click:

brainly.com/question/14651443

#SPJ4

In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.

In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.

The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.

It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.

About Milgram's first study of obedience here:

https://brainly.com/question/30462620

#SPJ11

Answer:

The first one (highlighted one)

Step-by-step explanation:

The answer is the one selected. When multiplying and subtracting numbers, you do the combination that is multiplying before you subtract-unless there are numbers in parenthese. You work parentheses first. In all of the other options, you are multiplying first so not subtracting from 3. For example  the second option, you would multiply 4x7 BEFORE you subtract from 3 which doesn’t work. You are also multiplying first in options 3 and 4.

The angle ∠AGB and ∠EGD are equal angles / opposite angles / vertical angles.

Given,

∠AGB and ∠EGD

We need to find what types of angles are ∠AGB and ∠EGD.

Vertical angles are angles that are opposite of each other when two lines cross.

Vertical angles are always equal.

We have,

∠AGB and ∠EGD are vertical angles

∠AGB = 30 = ∠EGD

∠CGD and ∠AGF are vertical angles.

∠CGD = 50 = ∠AGF

∠BGC and ∠FGE are vertical angles.

∠BGC = ∠FGE = 2x

We know that,

A straight angle is 180.

∠FGC =180

∠FGC = ∠AGF + ∠AGB + ∠BGC

180 = 50 + 30 + ∠BGC

180 - 50 - 30 = ∠BGC

180 - 80 = ∠BGC

∠BGC = 100

∠FGE = 100

We also see that,

∠FGC = ∠FGE + ∠EGD + ∠CGD

180 =  100 + ∠EGD + 50

180 - 150 = ∠EGD

∠EGD = 30

We see that,

∠EGD = 30°

∠AGB = 30°

Thus, the angle ∠AGB and ∠EGD are equal angles / opposite angles / vertical angles.

Learn more about Vertical angles here:

https://brainly.com/question/24460838

#SPJ1

Answer: the solutions to the quadratic equation 4x^2 + 8x - 2 = 0, found by completing the square, are x = -1 + √2 and x = -1 - √2.

Step-by-step explanation:

To solve the quadratic equation 4x^2 + 8x - 2 = 0 by completing the square, we can follow these steps:

   Divide both sides of the equation by 4 to get a coefficient of 1 for the x^2 term:

   x^2 + 2x - 1/2 = 0

   Move the constant term to the right-hand side of the equation:

   x^2 + 2x = 1/2

   Add and subtract the square of half the coefficient of the x term to the left-hand side of the equation. Half the coefficient of the x term is 1, so we need to add and subtract 1^2 = 1:

   x^2 + 2x + 1 - 1 - 1/2 = 1/2

   Group the perfect square trinomial on the left-hand side and simplify:

   (x + 1)^2 - 3/2 = 1/2

   Add 3/2 to both sides of the equation:

   (x + 1)^2 = 2

   Take the square root of both sides of the equation, remembering to include both the positive and negative square roots:

   x + 1 = ±√2

   Subtract 1 from both sides of the equation to isolate x:

   x = -1 ± √2

Therefore, the solutions to the quadratic equation 4x^2 + 8x - 2 = 0, found by completing the square, are x = -1 + √2 and x = -1 - √2.

Answer:

C

Step-by-step explanation:

There is a difference of 16 between consecutive terms, that is

259 - 243 = 275 - 259 = 291 - 275 = 16

This indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 243 and d = 16 , then

\(a_{n}\) = 243 + 16(n - 1) = 243 + 16n - 16 = 227 + 16n → C

Answer:

its c  look at god

Step-by-step explanation:

The answer to the question is an option D.

The numerical value that represents the part of the whole is termed a Fraction. A fraction consists of a numerator and a denominator. The numerator is the parts taken out from the whole and the denominator refers to the total part of the whole.

Example  =  \(\frac{4}{7}\) where 4 is the numerator and 7 is the denominator.

As per the question,

\(\dfrac{\frac{5}{7}}{\frac{1}{3}} = \dfrac{5 \times 3}{7 \times 1}\)

\(= \dfrac{15}{7}\)

Thus the value of the option  D is correct  i. e.

Learn more about fractions here :

https://brainly.com/question/10354322

# SPJ2

Answer:

m= - 1/4  

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

got it right

The correct null hypothesis for the given problem is \(H_0\) : μ = 8000.

To obtain the correct null hypothesis for the given problem, follow the given below steps:

Firstly, recall that the null hypothesis ( \(H_0\) ) is a statistical assumption used in hypothesis testing.

It is a statement that is assumed to be true until it is proven false by the alternative hypothesis.

Secondly, recall that the null hypothesis is the opposite of the alternative hypothesis (\(H_1\)), which is the statement that researchers want to prove to be true.

Thirdly, recall that the null hypothesis for a population mean is as follows:

 \(H_0\) : μ = \(\mu_o\)

where μ represents the population mean and

\(\mu_o\) represents the hypothesized population mean.

Therefore, for the given problem, the correct null hypothesis is:

 \(H_0\) : μ = 8000.

for such more question on null hypothesis

https://brainly.com/question/25263462

#SPJ11

By the symmetric property of congruence is  ∠FSJ ≅∠UPR.

It is required to find the solution.

Symmetry is defined as a proportionate and balanced similarity that is found in two halves of an object, that is, one-half is the mirror image of the other half. A 2D shape is symmetrical if a line can be drawn through it and either side is a reflection of the other.

Given:

The symmetric property is if y = x then x = y. The order of what is on the left or right side of the equation does not matter. It's like saying 2+3 = 5 is the same as 5 = 2+3.

According to given question we have,

This idea can be extended to congruences because congruent angles have the same measure.

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other.

So, ∠UPR ≅∠FSJ, then ∠FSJ ≅∠UPR.

Therefore, by the symmetric property of congruence is  ∠FSJ ≅∠UPR.

Learn more details about symmetry here:

https://brainly.com/question/14466363

#SPJ1

Answer:

He worked for 3 hours.

Step-by-step explanation:

you can solve this by muiltipling the amount of hours by the kilograms done in   an hour.

Answer:

3 hours

I hope its right

The number of different ways a viewer can complete the poll if exactly one response is given to each question is 243.

This is a question of permutations and combinations.

It is given in the question that an opinion poll is to be conducted among cable tv viewers. There are five multiple-choice questions, each with three possible answers.

We have to find the number of different ways a viewer can complete the poll if exactly one response is given to each question.

A viewer can do a question with three possible answer in 3 ways, by choosing any one of them.

Hence,

Number of different ways a viewer can complete the poll with 5 questions if exactly one response is given to each question = 3*3*3*3*3 = 243.

To learn more about permutations, here:-

https://brainly.com/question/1216161

#SPJ4

Answer:

26. length=7cm  width=4cm

27. length=12cm  width=5cm

28. length=12 cm  width=9cm

29. length=7 cm

30. length=2cm

The amount of flour needed to make the recipe with 1 cup of sugar is 2 cups of flour.

The amount of flour and sugar needed to make the recipe is given as:

Amount of sugar = 0.75 cups.

Amount of flour = 1.5. cups.

We need to find the number of cups of flour needed if we use 1 cup of sugar instead of 0.75 cups to make the recipe.

To make the recipe:

Let,

cups of flour = f.

cups of sugar = s.

For 1.5 cups of flour, we need 0.75 cups of sugar

we can write this statement in equation form:

1.5 f = 0.75 s ................(1)

Now, we are asked how many cups of flour are needed if we use 1 cup of sugar.

We can find it by making the left-hand side of equation (1) one.

Divide both sides of the equation (1) by 0.75.

We get,

1.5 f / 0.75 = 0.75 s / 0.75

(1.5/0.75) f = (0.75/0.75) s

2 f = 1 s  .................(2)

Similarly, equation (2) implies that,

To make the recipe, we use 2 cups of flour and 1 cup of sugar.

Thus we see that if we use one cup of sugar to make the recipe we will need 2 cups of flour.

Learn more about proportion word problems here:

https://brainly.com/question/15300557

#SPJ1

or, x=180

or,34=180

or,180-34

or x=146

Now,

or, y=146

or,18=146

or146-18

or, y=128

there is x is 34 and its all side angle is 180 degree So put x =180 and then put x value is 34 =180 and there is no values in front of 34 so there will be + and if +so in another side it will be - and then after put 180-34=146

The missing portions of the proof are:

2) ∠4 ≅ ∠1 ; ∠3≅∠2 - Corresponding Angles Theorem

3) CDB ≅CEA           -     AA Similarity

The other information that could have been stated to proof that Angle - Angle similarity is: Angle C ≅ angle C

Reflexive Property

The reflexive property of equality in algebra asserts that a number is always equal to itself. Equality has a reflexive attribute. If an is a positive integer, then a = a.

When two parallel lines cross by any other line (i.e. the transversal), corresponding angles are generated in matching corners or corresponding angles with the transversal.

So in the above proof, ∠4 ≅ ∠1 ; ∠3≅∠2 because they are a pair of corresponding angels because they are created in matching corners.

Looking at the shape, we can see that CDB  and CEA   are triangles since we have established that their angles are similar, hence, the Angle Angle Similarity postulate.

Learn more about Corresponding Angles;
https://brainly.com/question/1597341
#SPJ1

There are 10 students in a class: 6 boys and 4 girls. If the teachers chooses 3 at random, then the probability that everyone in the group is a girl is 1/30

It is given that,

Total number of students = 10

Number of boys = 6

Number of girls = 4

Total number of ways to select 3 students from 10 students.

10C3= 10!/ 3!7!= 120

Total number of ways to select 3 students from 4 girls

4C3 = 4!/ 3!=4

The probability that everyone in the group is a girls is

P = 4/120

  = 1/30

Hence ,  the probability that everyone in the group is a girl is 1/30

learn more about of probability here

https://brainly.com/question/9696825

#SPJ4

Answer:

3=4 and 1=2 or its the other way around...i cant remember