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Select all that justify the following statement. 3 + (y + 5) = y + 8 a)commutative – addition b)distributive c)associative – multiplication d)symmetric e)commutative – multiplication f)associative – addition g)identity – addition



Select all that justify the following statement. 3 + (y + 5) = y + 8 a)commutative – addition b)distributive c)associative – multiplication d)symmetric e)commutative – multiplication f)associative – addition g)identity – addition

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The quote below was part of a campaign speech given by Senator Albert J. Beveridge in 1898: “But today we are raising more than we can consume. Today we are making more than we can use. Today our industrial society is congested; there are more workers than there is work; there is more capital than there is investment. We do not need more money—we need more circulation, more employment. Therefore, we must find new markets for our produce, new occupation for our capital, new work for our labor.” Which type of policy was this statement intended to justify?


The correct answer is imperialism.

Imperialism is when one country tries to extend its power over another country or territory. This can be done through warfare or the signing of treaties/agreements. The quote by Beveridge is discussing how American society is producing more goods than its ever produced and that the US needs to expand its power and influence over other countries. This would allow the excess goods and services to be sold to new consumers, generating more profits for business owners.

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There are 150 marigold plants in a back yard. Each month, the number of marigold plants decreases by 15%. There are 125 sunflower plants in the back yard. Each month, 8 sunflower plants are removed. Part A: Write functions to represent the number of marigold plants and the number of sunflower plants in the back yard throughout the months. (4 points) Part B: How many marigold plants are in the back yard after 3 months? How many sunflower plants are in the back yard after the same number of months? (2 points) Part C: After approximately how many months is the number of marigold plants and the number of sunflower plants the same? Justify your answer mathematically. (4 points)


If a quantity A is decreased by 15%, it means that what is left is 85% of it.

85%A= frac{85}{100}A=0.85A

Part A.

Consider the 150 marigolds.

After the first month, 0.85*150 are left
After the second month, 0.85*0.85*150= (0.85)^{2} *150
After the third month, 0.85*0.85*0.85*150 =  (0.85)^{3}*150
.
.
so After n months,  (0.85)^{n}*150 marigolds are left.

in functional notation: M(n)=(0.85)^{n}*150 is the function which gives the number of marigolds after n months

consider the 125 sunflowers.

After 1 month, 125-8 are left
After 2 months, 125-8*2 are left
After 3 months, 125-8*3 are left
.
.
After n months, 125-8*n sunflowers are left.

In functional notation: S(n)=125-8*n is the function which gives the number of sunflowers left after n months

Part B.

M(3)=(0.85)^{3}*150=0.522*150=78 marigolds are left after 3 months.

S(3)=125-8*3=125-24=121 sunflowers are left after 3 months.

Part C.

Answer : equalizing M(n) to S(n) produces an equation which is very complicated to solve algebraically.

A much better approach is to graph both functions and see where they intersect.
 
Another approach is by trial, which gives 14 months

M(14)=(0.85)^{14}*150=15

S(14)=125-8*14=125-112=13

which are close numbers to each other.

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What theory was developed to justify investing in joint-stock companies for the new world?



What theory was developed to justify investing in joint-stock companies for the new world?

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Austin is comparing the prices of two truck rental companies. Company a charges $4 per hour and an additional $70 as service charges. Company b charges $5 per hour and an additional $60 as service charges. Part a: write and equation to represent each conpanys total charges for renting a truck for a certain number of hours. For both equations( one for company a and one for company b ), define the variable used. Part b: which company would charge less for renting a truck for 6 hours? Justify your answer. Part c: how much money is saved by using the services of company b instead of company a to rent a truck for 7 hours?


Company a: 70 plus 4 times (how many hours) 
company b: 60$ plus 5 times (how many hours)
PART A 70+four(x)  B 60+5x  
THE VARIABLE REPRESENTS THE HOURS THE TRUCK WAS RENTED
PART B company a charges 9four dollars to rent the truck
              company b charges 90 dollars to rent the truck
PART C: you would have to solve the equation like this to find PART C
A: 70+four(7)=98 B: 60+5(7)=95
so the answer for part c would be he saved 3 dollars 
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PLEASE HELP!!!!!! The Jonas school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student. School Low High Range Mean Median IRQ σ High School M 128 180 62 141 160 55.5 41.5 High School N 131 180 49 159 154 48.5 36.5 High School P 140 180 40 153 165 32.5 31.5 Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.


Answer:

High School P has the most consistent attendance among its students.

School N should be awarded for the highest average attendance.

Step-by-step explanation:

Consider the provided information.

Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically.

Standard deviation (σ) is a measure of how a data set is spread out.

If the standard deviation is low, this implies that the information tends to be near to the set mean, whereas a high standard deviation implies that the information points are spread across a wider spectrum of values.

Therefore, for more consistency we need to look for the low standard deviation.

From the provided table we can see that the school P has low standard deviation (σ) i.e 31.5

Hence, High School P has the most consistent attendance among its students.

Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

The formula for mean is:

Mean=frac{x_1+x_2+...+x_n}{n}

Mean is the same as average.

The sum of mean or average will be larger if each students contributes more attendance.

For highest average attendance the school with higher mean should be awarded.

Hence, School N should be awarded for the highest average attendance.

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A box contains 60 colored balls: 45 of the balls are purple, and 30 of the purple balls have stars on them. if a purple ball being randomly chosen and a ball with stars being randomly chosen are independent events, how many of the 60 colored balls have stars on them? use conditional probability to justify your answer.


You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

 = 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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PLEASE HELP ILL GIVE 40 PTS There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp. Each year, 10 new crocodiles join the swamp. Part A: Write functions to represent the number of alligators and crocodiles in the swamp throughout the years. (4 points) Part B: How many alligators are in the swamp after 4 years? How many crocodiles are in the swamp after the same number of years? (2 points) Part C: After approximately how many years is the number of alligators and crocodiles the same? Justify your answer mathematically. (4 points)


The polinomials only can have positive whole exponents, that is: 1, 2, 3, 4, 5, 6, … (you can include 0 also, because it iis the independent term).

So, if you are told that one term of the polynomial is 9 x ^ (negative something), it is necessary that the number after the negative sign be negative, given that negative times negative is positive.

Therefore, the only possible option from the answer choices is the option 3) -9.

Answer: 3) – 9

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Which dynasty used the concept of Mandate of Heaven to justify taking control of their predecessor in ancient China?


The correct answer is A) Political bosses were against women’s suffrage because they feared women might use their votes to end corruption.

What the cartoonist imply about political bosses and the issue of women’s suffrage is that Political bosses were against women’s suffrage because they feared women might use their votes to end corruption.

Political bosses of the time did not want change. They had their personal agendas and many interests with other factions. A transformation for them was out of the question. Women’s suffrage represented an option for women’s rights an the possibility to make her voice heard, among other things, against corruption and oppression.

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There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp. Each year, 10 new crocodiles join the swamp. Part B: How many alligators are in the swamp after 4 years? How many crocodiles are in the swamp after the same number of years? Part C: After approximately how many years is the number of alligators and crocodiles the same? Justify your answer mathematically.



There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp. Each year, 10 new crocodiles join the swamp. Part B: How many alligators are in the swamp after 4 years? How many crocodiles are in the swamp after the same number of years? Part C: After approximately how many years is the number of alligators and crocodiles the same? Justify your answer mathematically.

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PLEASE HELPMabel is comparing the prices of two car rental companies. Company A charges $35 per day and an additional $15 as service charges. Company B charges $42 per day and an additional $10 as service charges. Part A: Write an equation to represent each company’s total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a car for 6 days? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 10 days? (3 points)


The polinomials only can have positive whole exponents, that is: 1, 2, 3, 4, 5, 6, … (you can include 0 also, because it iis the independent term).

So, if you are told that one term of the polynomial is 9 x ^ (negative something), it is necessary that the number after the negative sign be negative, given that negative times negative is positive.

Therefore, the only possible option from the answer choices is the option 3) -9.

Answer: 3) – 9

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Draw a line segment and copy it to the right of the original segment and explain your steps and justify each step used.


The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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Which amendment would strict constructionists look to in order to justify a limited interpretation of the constitution?


The First Amendment to the Constitution says: Congress should make no law regarding a foundation of religion, or disallowing the free exercise thereof, or shortening the right to speak freely, or of the press; or the privilege of the general population serenely to amass, and to request of the Government for a review of grievances.

The First Amendment secures a few fundamental opportunities in the United States including flexibility of religion, the right to speak freely, the flexibility of the press, the privilege to gather, and the privilege to appeal to the administration. It was a piece of the Bill of Rights that was included in the Constitution December 15, 1791.

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Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal. Is Kyle’s claim incorrect or correct? In two or more complete sentences, justify your answer


Answer:

The integral roots of the equation are 0 and -2.

Step-by-step explanation:

Here, the given equation,

x^4 - 4x^3 = 6x^2 - 12x

x^4-4x^3-6x^2+12x=0

x(x^3-4x^2-6x+12)=0 ——(1),

Since, x^3-4x^2-6x+12=0 at x = – 2,

Thus, x + 2 is a factor of x^3-4x^2-6x+12=0,

By dividing x^3-4x^2-6x+12=0 by (x+2),

We get, x^2-6x+6

Hence,

x^3-4x^2-6x+12=(x+2)(x^2-6x+6)

By equation (1),

x(x^3-4x^2-6x+12)=x(x+2)(x^2-6x+6)

implies x(x+2)(x^2-6x+6)=0

implies x(x+2)(x-(3+sqrt{3}))(x-(3-sqrt{3}))=0

If x + 2 = 0 ⇒ x = -2,

While, if x – (3 ± √3 ) = 0 ⇒ x = 3 ± √ 3

Thus the roots of the given equation are, x = 0, – 2, 3 ± √3,

Since, 0 and – 2 are integers,

The integral roots of the equation are 0 and -2.

   

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O is the center of the circle. calculate the values of x and justify your answer


CPCTC stands for : corresponding parts of congruent triangles are congruent.

16)

A) ∠GAE≅∠GEA

17) if y° =22° so angle A = 2y=then angle A=44°
Since this triangle ABC is isosceles (AB=AC given), then Angle B= Angle C
In a triangle we know that the sum of all angles =180°, the 44°+2C=180
& C= (180-44)/2 = 68  (C)

18) C)BC≅CE is not necessarily true

19) Reflexive Property; Given

20) Right Triangles ABC & AED are congruent::
CB=ED (given)
Angle C = D (given)
Angle B = E =90° (given)
The 2 triangles are congruent ASA & AC = AD
Now we have the equalities:
1) BC=ED ===> x=y-1
And
2) AC=AD ===> 3x-2 = 2y+1
Let’ arrange these 2 equations:

x-y = -1
3x-2y =3

Solving this system with 2 variables x & y gives: X=5 & Y=6 (D)

 

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Which evaluation of A Vindication of the Rights of Woman makes an accurate conclusion about Wollstonecraft’s beliefs and correctly supports it with text evidence? Wollstonecraft writes, “Such deeply rooted prejudices have clouded reason.” This supports the idea that she believes people must overcome existing prejudices to reason correctly. Wollstonecraft writes, “Men, in general, seem to employ their reason to justify prejudices.” This supports the idea that she believes all men are prejudiced and are therefore unable to reason truthfully. Wollstonecraft writes, “The society is formed in the wisest manner.” This supports the idea that she believes that humans are so smart that their ability to reason is unquestionable. Wollstonecraft writes, “For why should the gracious fountain of life give us passions.” This supports the idea that she believes that people’s passions should be ignored in favor of their reason.


The correct answer is C. Demonstrates a lack of organization

Explanation:

A rubric is a tool used to assess or evaluate the quality of someone’s work such as essays or presentations. Because of this, in educational contexts, rubrics are widely used tools to assess students performance in some task assigned by the teacher. Rubrics are usually charts that work as scoring guides and that contain the criteria to evaluate some specific work, in this way, rubrics usually contain the aspects that will be evaluated such as coherence, development of ideas, grammar accuracy or organization and the levels of performance of these aspects expressed by qualifying words such as excellent, good, needs improvement or by a rate of numbers in which 1 or 0 shows the lowest level of performance. Additionally, each chart of a rubric describes the criterion according to each rate, for example, if you receive a rate of 0 for coherence the criterion for this would be “complete lack of coherence” or “a text that is not logically connected”. Considering this, the criterion that would give Dana a score of 1 in the organization category would be “Demonstrates a lack of organization” as a score of 1 is a synonym of the lowest level of performance which means Dana essay is not well organized.