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Answer 1

The phrase b2 - 4ac is referred to as the discriminant for the quadratic equation ax2 + bx + c = 0.

What is a discriminant formula?

The phrase b2 - 4ac is known as the discriminant for the quadratic equation ax2 + bx + c = 0. How many roots f(x) has is shown by the discriminant's value: - The quadratic function has two unique real roots if b2 - 4ac > 0 A repeated real root exists in the quadratic function if b2 - 4ac = 0.

D=b2 - 4ac, discriminatory

The constant term c.

In mathematics, a discriminant is a parameter of an object or system that is calculated to help with its classification or solution. For the cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc 4b3 4a3c 27c2, while the discriminant for the quadratic equation ax2 + bx + c = 0 is b2 4ac.

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Related Questions

What are the 3 steps to solving a two step equation?

Answers

Answer:

Use the following denomination (Ghana cedis 200,100,50 and 20)to find the quantities of notes

1.3584655000

2.85760000

3.146737000

4.5555627000

5.7777000

please help

Step-by-step explanation:

1. Eliminate any constant that is on the same side as the variable.

2. Use inverse operations to isolate the variable by itself.

3. Whatever you do to one side you do to the other.

A shoe store recorded the number of customers who made a purchase out of a sample of 100 customers who entered the store each day. The boxplot shown summarizes the recorded data for one year. Based on the boxplot, which of the following statements is true?

A. The range of the number of customers making a purchase is greater than 32.

B. The interquartile range of the number of customers making a purchase is 25.

C. The number of days that had at least 26 customers making a purchase is greater than the number of days that had at most 11 customers making a purchase

D. The number of days that had from 11 to 26 customers making a purchase is equal to the number of days that had at most 14 customers making a purchase.

E.The difference between the median and the lower quartile for the customers making a purchase is less than 2.

Explain your thinking.

Answers

Less than 2 units separate the median from the lower quartile for customers making purchases.

What is meant by quartile deviation?

The three values known as quartiles divide sorted data into four equal-sized portions, each with an equal number of observations. An example of a quantile is a quantile. First quartile: Also referred to as the lower quartile or Q1. The median or second quartile is also referred to as Q2. Third quartile: Also referred to as the higher quartile or Q3.

Half of the difference between the upper and lower quartiles can be used to define the quartile deviation analytically. Here, the upper quartile (Q3) and lower quartile (Q1) can be used to depict quartile deviation as the letters QD. The term "quartile deviation" is sometimes used to refer to the semi-interquartile range.

The coefficient of quartile deviation serves as a gauge for a collection of data's variability or spread. It is determined by taking the square root of the difference between the upper and lower quartiles, squaring the result, and dividing it by two. Comparing data sets is simple because it is expressed as a percentage.

Therefore, the correct answer is option E. The difference between the median and the lower quartile for the customers making a purchase is less than 2.

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For a hypothesis test of H0: p = 0. 65 against the alternative Ha: p < 0. 65, the z test statistic is found to be -2. 35. What can be said about his finding?

Answers

The finding is significant at both α = 0.05 and α = 0.01.

What is hypothesis ?

A hypothesis (plural: hypotheses), in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

Have given ,

H0: p = 0. 65 ,  Ha: p < 0. 65 and  the z test statistic is found to be -2. 35.

From the test statistic value, we can obtain the p value of the test ,

To determine if the claim is significant at both α = 0.05 and α = 0.01

We compare the Z statistic and Z critical values

If Z statistic < Z critical ; then we reject H0; if otherwise, we fail to reject H0

Z critical at 95% one tailed = - 1.645 (left tail)

Z critical at 95% one tailed = -2.326 (left tail)

- 2.35 < - 1.645

-2. 35 < 2.326

Since, Z statistic < Z critical;

The finding is significant at both α = 0.05 and α = 0.01.

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Complete the table with values for x or y that make this equation true : 3x+y=15.

Answers

Answer:

Step-by-step explanation:

So first, with the given table you need to "plug-in" the numbers that are there for x and y.

Ok, for example 2 is listed in the "x" row. So plug it 2 for "x":

3x+y=15

3(2)+y=15

6+y=15

-6      -6

y=9

So do this for all of them...the same goes with all of the values...just plug in one, complete the steps then you'll get the answer for the other variable.

Hope this helps!

Answer is in the attachment. A graph and a filled in table.

Step by step

I graphed the line and found the matching x and y points. Example, given x=2 on the table, find x =2 and find where y crosses, that’s your y value of 9. Next is a y=3, find that point on the graph, where does the line cross for x? At x=4. Continue with the remainder numbers on the table. Graph all the points.


Table as follows

2 4 6 0 3 5 2.3333
_________________________
9 3 -3 15 6 0 8

7.) On Monday the rate for a hotel suite is $299.00 a night plus 6% tax. That same room rents for $349.00 plus 6% tax on a Friday. What is the difference in costs including tax between the two nights?​

Answers

Answer:

The difference in costs including tax between the two nights is $53

Step-by-step explanation:

To find the cost of the hotel suite on Monday including tax, we first calculate the amount of tax by multiplying the room rate by 6% (0.06):

$299.00 * 0.06 = $17.94

So the total cost of the room on Monday including tax is:

$299.00 + $17.94 = $316.94

Next we find the cost of the hotel suite on Friday including tax:

$349.00 * 0.06 = $20.94

So the total cost of the room on Friday including tax is:

$349.00 + $20.94 = $369.94

Finally, to find the difference in costs between the two nights, we subtract the cost of the room on Monday including tax from the cost of the room on Friday including tax:

$369.94 - $316.94 = $53

The difference in costs including tax between the two nights is $53.

Answer:

The difference in costs including tax between the two nights is $53

--------------------------------

The cost x including a 6% tax is:

x + 6% =x + 0.06x = 1.06x

The difference in costs including tax is:

349*1.06 - 299*1.06 = (349 - 299)*1.06 = 50*1.06 = 53

What’s is
2^x=1/32•x=

Answers

Answer:

I believe it would be x=-5

Step-by-step explanation:

..

The total number of books sold from 2010-2015 from
Amazon can be modeled by the function
3
2
f(x) = 40x + 8x + 14824x + 33000and the number of kinds
of books at Amazon from that same time period can be modeled
as g(x): =
10x + 22, where x is the number of years since
2010. What is the average number of each kind of book
Amazon sold?

Answers

Answer:

If you want to find out how many print copies the book is selling, just click the Paperback or Hardcover edition of the book on Amazon, scroll down to Product Details on that page, and find the Amazon Best Sellers Rank for the print edition.

Step-by-step explanation:

Tank 1: 36 inches long, 18 inches wide, and 12 inches tall. How many gallons of water is in the tank?


I need a step-by-step explanation please

Answers

In a tank that is 36 inches long, 18 inches wide, and 12 inches tall have approximately 33 gallons of water.

How to calculate volume of a tank?

The rectangular tank's volume may be calculated using the formula V = l*b* h, where "l" stands for the tank's length, "b" for its width, "h" for its height, and "V" for its volume.

Define volume.

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Volume = length*width*height

V=36*18*12

V=7776 inches^3

which is approximately 33 gallons.

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A container has cups of milk in it. The container is 1/3 full. How many cups does the container hold? Explain or show your reasoning.

Answers

Answer:

Step-by-step explanation:

2 or 6 i think im probaly wrong

Answer:

The container can hold 6 cups.

Step-by-step explanation:

Since the container is 1/3 full, and it currently has 2 cups, we know that it can only hold 6 cups as 3 × 2 is equal to 6.

a) What is the size of angle ABC? b) Use your answer to part a) to work out the size of reflex angle CBD. Give your answers to the nearest degree. ​

Answers

Answer:

a) 110

b) 250

Step-by-step explanation:

Read the top row of numbers for a.  We are starting at zero and going to 110

Reflex is when two angles add up to 360

360 - 110 = 250

You have an ant farm with 22 ants . The population of ants in your farm will double every 3 months

Answers

The number of ants in 6 months will be 88 ants.

How to calculate the value?

The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this situation, in an ant farm with 22 ants and the population of ants in your farm will double every 3 months.

The number of ants in 6 months will be:

= 22 × (6/3)²

= 22 × 2²

= 88 ants

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Complete question

You have an ant farm with 22 ants . The population of ants in your farm will double every 3 months. What is the number of ants in 6 months.

If it took a speed-boat 9 hours to travel
a distance of 1 080 km, what was its
average speed, in kmh-¹?

Answers

Answer:

120 km/h

Step-by-step explanation:

average speed=total distance÷time

=1080÷9

=120 km/h

Solve the system of equations using subtraction.
2x-6y = -2 - 2y
-6x - 4y = -38 -2x

Answers

Answer:

y=7/2 and x=6

Step-by-step explanation:

2x−6y=−2y−2 can be turned into x=2y−1.

Now you can substitute the equations.

−6x−4y=−2x−38

−6(2y−1)−4y=−2(2y−1)−38

Then you can simplify.

−12y+6=−36

−12y=−42

y=7/2

Then you can substitute y to find x.

x=2y−1

x=2(7/2)-1

x=6

And then our answers are y=7/2 and x=6.

Hope this helped! :)

Find the area of the polygon with the given vertices. N(-2,1), P(3,1), Q(3,-1), R(-2,-1)

Answers

Answer:

10

Step-by-step explanation:

no explanation just math-way

The table shows the approximate area

in square miles of the largest and smallest

states in the United States. What is the

difference between the areas in

square miles?

State

Area (mi?)

873

Alaska

Rhode Island

392

Answers

The difference between the areas is 481 square miles.

Given information:

Alaska is 873 sq miles in size, as well as Rhode Island, is 392 sq miles in total.

To determine the difference between the areas in square miles, the following calculation must be performed: subtract Alaska from Rhode Island square miles then we get:

Let X be the total difference:

873 - 392 = X

481 = X

Therefore, the difference in the areas in square miles is 481.

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Select all that are equivalent to sin∠GFH

A. Sin∠GEJ

B. Sin∠EGJ

C. Cos∠FGH

D. Cos∠GEJ

E. Cos∠GFH

F. Tan∠GEJ

Answers

All that is the equivalent angle to the given angle sin∠GFH is cos∠GEJ.

Corresponding angles are those angles which are created in the matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

From the image, we get JE and HF are parallel.

So ∠GFH and ∠GEJ are corresponding angles. That means they are equal.

⇒sin(∠GFH) = sin(∠GEJ).

From triangle GFH, ∠GFH + ∠FGH = 90.

⇒sin(∠GFH) = cos(∠FGH).

Again ∠FGH = ∠EGJ.

⇒sin(∠GFH) = cos(∠EGJ)

All that is equivalent to sin∠GFH is cos(∠EGJ).

Thus, the correct answer is D.

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What type of quadrilateral is ABCD? Move segments and words to the blanks to classify quadrilateral ABCD.


The slope of

6-4

The slope of

جانا جاتا

Ini

6-

The slope of

The slope of

The slopes indicate that

Therefore, quadrilateral ABCD is a

is

to

and that

is

to

AB

BC

CD

DA

congruent

parallel

perpendicular

parallelogram

rectangle

rhombus

square

Answers

The type of quadrilateral is ABCD is parallelogram.

There are some properties of parallelogram:

If Two pairs of opposite sides are parallel and equal in length.The two pairs of opposite angles are equal in measure and one pair of opposite sides is parallel and equal in length.The diagonals bisect each other, and the adjacent angles are supplementary.Each diagonal divides the quadrilateral into two congruent triangles, with the sum of the squares of the sides equals the sum of the squares of the diagonals.

The coordinate of quadrilateral ABCD  are A=(2,4) B=(5,6) C=(4,3) D=(1,1)

By using the coordinates we can find the slope:

slope=y2-y1/x2-x1

the slope of AB =6-4/5-2

AB=2/3

the slope of AD =1-4/1-2

AD=3/1

the slope of CD =1-3/1-4

CD=2/3

the slope of BC =3-5/3-6

BC=2/3

The slope indicates that the slope of AB is equal to BC and the slope of AD is equal to CD

Therefore, as per the properties, quadrilateral ABCD  is Parallelogram

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The graph represents an object that is shot upwards from a tower and then falls to the ground. The independent variable is time in seconds and the dependent variable is the object’s height above the ground in meters.

A How tall is the tower from which the object was shot?

B When did the object hit the ground?

C Estimate the greatest height the object reached and the time it took to reach that height. Indicate this situation on the graph.

Answers

A b and c is correct

A triangle has 2 sides of length 2 and 18 what compound inequality describes the possible lengths for the third side length

Answers

I'm pretty sure the answer is 72 :))



PLEASE HELP ME :((((


Jaya has a points card for a movie theater.

• She receives 85 rewards points just for signing up.

• She earns 8. 5 points for each visit to the movie theater.

• She needs 153 points for a free movie ticket.

Equation :

Answer v=

Answers

The number of visits Jaya can make to earn his first free movie ticket is 8

Total reward points received for signing up by Jaya = 85 rewards point

Total reward points received for each visit to the theatre by Jaya = 8.5 rewards point

Total reward points needed to Jaya for getting a free movie ticket = 153 rewards point

Let x represents the number of visits to the movie theatre

According to the question,

We can write it as:

85 + 8.5x  ≥  153  ------(i)

Now subtract 85 from both the side of equations,

We will get it as follows:

85 + 8.5x - 85 ≥ 153 - 85

8.5x ≥ 68

Further solving we will get it as:

x ≥ (68/8.5)  ≥ 8

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what are the conditions for using the normal approximation for a sampling distribution of proportions g

Answers

The normal approximation for sampling distributions of proportions can be used when the sample size is large enough.

What prerequisites must be met for a sampling distribution of proportions g in order to use the normal approximation?The conditions for using the normal approximation for a sampling distribution of proportions are as follows: The sample size (n) must be sufficiently large (usually 30 or more). The sample proportion (p) should not be close to 0 or 1. The population distribution should be normally distributed.The general rule is that if the sample size (n) is greater than or equal to 30, then the normal approximation can be used. When using the normal approximation for a sampling distribution of proportions, the sample size must be greater than or equal to 30 and the population proportion (p) must be between 5% and 95%. Furthermore, the sample size must be large enough that the expected number of successes (np) and expected number of failures (nq) are both greater than or equal to 10. Finally, the sampling distribution should be approximately normal and the sample should be randomly selected from the population. The normal approximation is a useful tool for estimating confidence intervals and the probability of extreme values, as well as for hypothesis testing. It can be used to estimate the probability of success in a given sample of proportions, which can be helpful when making decisions about a population or understanding the behavior of a system.

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A veterinarian weighs three cats. The
American Shorthair weighs 13.65 pounds.
The Persian weighs 13.07 pounds, and
the Maine Coon weighs 13.6 pounds.
List the cats in order from least to
greatest weight.

Answers

Answer:

Least to greatest.

Persian, Maine Coon, and American Shorthair

[tex]h + 54 = 4 {}^{2} - 16 \div 4[/tex]

Value of h = ???​

Answers

Answer:

[tex]h = -42[/tex]

Step-by-step explanation:

First, subtract 54 from both sides.

[tex]h = 4^2 - 16 \div 4 - 54[/tex]

Then, evaluate the right-hand expression using the order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

We'll first evaluate the exponent in 4²:

[tex]4^2 = 4 \times 4 = 16[/tex]

[tex]h = 16 - 16 \div 4 - 54[/tex]

Next, we can evaluate the division:

[tex]16 \div 4 = 4[/tex]

[tex]h = 16 - 4 - 54[/tex]

Finally, perform the subtraction.

[tex]16 - 4 - 54 = -42[/tex]

[tex]h = -42[/tex]

Answer:

[tex] \sf \: h = - 42[/tex]

Step-by-step explanation:

Given equation,

→ h + 54 = 4² - 16 ÷ 4

Now the value of h will be,

→ h + 54 = 4² - 16 ÷ 4

→ h + 54 = 16 - 4

→ h + 54 = 12

→ h = 12 - 54

→ [ h = -42 ]

Hence, value of h is -42.

Questions with Bounds:

1) Andy Mann is building a garden fence out of planks. The planks are 10cm wide to the nearest cm. He needs to make 75 m of fencing altogether, correct to the nearest meter. How many planks does he need to order to make sure he has enough to complete the fence?

Answers

A total of 785 planks Andy Mann needs to order to make sure he has enough to complete the fence.

As the planks are 10cm wide to the nearest cm.

The total length of the fencing is = 75 m

From above, we can conclude that,

Range of the planks' lengths: 9.5 cm <= Plank's length < 10.5 cm

Range of fencing needed: 74.5 m <= Fence length < 75.5 m

We should consider the worst-case scenario where all the planks are 9.5 cm.

To complete the job, he only needs 74.5 m in total.

So, the total number of planks needed for completing the Job will be

= (74.5 * 100) / 9.5 = (7.84210*100) = 784.210

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Tlaloc pumped up 565656 ball. He pumped up 555 dodge ball for every 999 other ball. Complete the table. Original ratio Number Tlaloc pumped up
Dodge ball 555
Other ball 999
Total ball
5656

Answers

20 dodgeballs have been pumped up by Ttaloc.

Ttaloc has 36 additional pumped-up balls.

The complete ball's original number is 14.

The relationship between two or more numbers is expressed by the ratio. It displays the frequency of how often one value is encapsulated by another value (s).

The number of dodgeballs Ttaloc pumped up = (5/14) x 56 = 20

The number of other balls Ttaloc pumped up = (9/14) x 56 = 36.

A ratio in mathematics demonstrates how many times one number is present in another.

A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.

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Solve the quadratic by factoring. 3x^{2}+7=-8x+3 3x 2 +7=−8x+3

Answers

The roots of the given quadratic equation are x = -2/3 and x = -2.

What is a quadratic equation?

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is a quadratic equation as follows -

3x² + 7 = - 8x + 3

The given quadratic equations are -

3x² + 7 = - 8x + 3

3x² + 8x = 3 - 7

3x² + 8x + 4 = 0

(x + 2/3)(x + 2) = 0

(x + 2/3) = 0   and   (x + 2) = 0

x = -2/3   and   x = -2    

Therefore, the roots of the given quadratic equation are x = -2/3 and x = -2.

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Mr. Nunez brought 2 1/2 cake to chool for her cla. If there are 15 people in the cla ,including Mr. Nine, how much of the cake will each peron receive

Answers

Each person present in Mrs. Nunez's class is going to receive 1/6th part of the cake when they get it cut.

Mr. Nunez brought 2 ½ cakes for 15 people which means, 2 ½ cakes will be equally divided into 15 pieces and distributed to each person. Since 2 ½ is a mixed fraction we have to convert it into a regular fraction which will be equal to 5/2. So, the amount of cake a person will receive is equal to (5/2)/15 which is 1/6, which is roughly 0.167 part of the whole cake.

The given problem has been solved by using the properties of fractions.

The complete question that you might be looking for is-

Mrs. Nunez brought 2 1/2 cake to school for her class. If there are 15 people in the class, including Mr. Nine, how much of the cake will each person receive?

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help. pls.
-photo attached !

Find the measures of the numbered angles.


(the angles i need to find)

<1 _?
<2 _?
<3 _?
<4 _?
<5 _?
<6 _?
<7 _?
<8 _?

Answers

Answer:

<1=75°[corresponding angles are equal]

<2=180-<1=(180-75)°=105°[sum of st.angles is supplementary]

<3=<2=105°[Vertically opposite angles are equal]

<4=75°[Alternate angles are equal]

<6=<2=105°[Corresponding angles are equal]

<7=<6=105°[Vertically opposite angles are equal]

<8=75°[Vertically opposite angles are equal]

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Is the function f/x )= x x − 4 − − − − √ is continuous on the interval 4 [infinity]?

Answers

No, the function f(x) = x - √x - 4 is not continuous on the interval [4, infinity].

Here's why, A function is considered continuous if the function is defined at every point in its domain and there are no breaks or jumps in the function's graph. In this case, the function f(x) = x - √x - 4 is defined for all x > 4, However, the function includes a square root of x-4, which is defined only for non-negative real numbers, thus for x < 4, the function is undefined. Therefore, the function is not continuous on the interval [4, infinity].

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please help i need it by tomarrow

Answers

Answer:

2-6

3-9

5-15

6-18

2-6

4-12

5-15

8-24

Step-by-step explanation:

Multiply by 3

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What was the significance of the Glorious Revolution in England in 1688 that deposed King James II and replaced him with king William and Queen Mary? 11. Solve the inequality.g-6> -1 50 POINTS!! Pls make sure the answers are correct and the work is shown Answer all pls and show work The use of simple and vigorous words in A Farewell to Arms reflectsthe harsh and powerful reality of war.the reality of life during the early 1900s.the plain and boring nature of battle.the difficulties of Hemingways life. In florida and some other states, cellular emergency calls are directed to the state police (*__________ on your cellular phone) I need help with this. Is it FPH FHP HPF HFP What is the best definition of economic data brainly? Why did US foreign policy change between 1920 and 1941? Which of the following movements most directly led to the Enlightenment? Scholasticism Protest Reformation Catholic Reformation Scientific Revolution How do you know if its logarithmic or exponential? ____________________ are concerned with the judgement principles of right and wrong in relation to human actions and character. Ratification was the process of ...A. Adding new states to the U.S.B. Making changes to the U.S. ConstitutionC. Voting for a new president and vice presidentD. Approving and adopting the U.S. Constitution Questions and problems 1) Why at the maximum height, the acceleration of projected object does not equal to zero? 2) What is meant by freely fall acceleration is equal to 9.8m/s? 3) Describe the characteristics of uniform motion 4) Define these terms. a) distance 5) Explain the difference between distance and displacement. b) displacement d) speed d) velocity e) motion f) rest 6) Distinguish between average speed and instantaneous speed. 7) Give reason when an object falls freely from rest increases its velocity. 8) A car has covered a distance of 600 km in 10 hours. What is its average speed? 9) A body moves at speed of 180 km/h. Calculate the distance it covers in a minute. 10) Calculate the average velocity in km/h for an athlete who covered a distance of 4000 m in 30 minutes. Define the term Project brief? why is it important to do planning?Atleast 2 paragraph. The lines represented by the equations y= -1/3x+2and 5y+15x=-40 In the event that a man died without a son, a _____, a brother or next of kin, redeemed the dead man's property and married his widow. The following is an excerpt from the novel All Quiet on the Western Front written by Erich Maria Remarque in 1929. The book vividly relays the extreme physical and emotional trauma of World War I as experienced through a German soldier stationed on the front lines.I am young, I am twenty years old; yet I know nothing of life but despair, death, fear, and fatuous superficiality cast over an abyss of sorrow. I see how peoples are set against one another, and in silence, unknowingly, foolishly, obediently, innocently slay one another. I see that the keenest brains of the world invent weapons and words to make it yet more refined and enduring. And all men of my age, here and over there, throughout the whole world see these things; all my generation is experiencing these things with me. What would our fathers do if we suddenly stood up and came before them and proffered our account? What do they expect of us if a time ever comes when the war is over? Through the years our business has been killing; -- it was our first calling in life. Our knowledge of life is limited to death. What will happen afterwards? And what shall come out of us?1)Due to the war, what does this soldier know of life?2)How has the war affected this soldier?3)Do you think this soldiers experiences will make it more likely or less likely for him to want to become involved in any future wars? Why or why not?4)Highlight or underline the two sentences of parts or sentences that you believe to be most powerful. Why did you choose these? What do they mean to you?PLEASE HELP ITS DUE TODAY! Which expression is equivalent to (ab6)4? a4b24 ab24 a5b10 ab28 how do I find the slope of these points(8,-4) and (2,-4) A 62.3 kg base runner begins his slide into second base while moving at a speed of 4.49 m/s. He slides so that his speed is zero just as he reaches the base. The acceleration of gravity is 9.8 m/s. What is the magnitude of the mechanical energy lost due to friction acting on the run- ner? In order to quickly teach a dog to roll over on command, you would be best advised to use:O Operant Conditioning - Classical ConditioningO Immediate reinforcers rather than delayed reinforcersO Negative ReinforcmentO Retrieve sticks and balls