use the distance formula and algebra to show that the set of all points (x, y) that are equidistant from the point (f, k) and the line x

Answers

Answer 1

We have proved that the set of all points (x, y) that are equidistant from the point (f, k) and the line x.

What is a parabola?

A parabola is a plane curve that is mirror-symmetrical and roughly U-shaped in mathematics. It fits several seemingly disparate mathematical descriptions, all of which can be shown to define the same curves. A point and a line are two ways to describe a parabola.

That’s a parabola in the usual orientation. y=1 is the directrix. (f, k) is the focus. Squared distance, as usual, is the fundamental quantity.

If (x,y) is a point in the set, the squared distance to y=1 is (y−1)². The squared distance to (f, k).

     (y - 1)²=(x - f)²+(y - k)²

Hence, we can say that the set of all points (x, y) is equidistant from the point (f, k) and the line x.

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Related Questions

What is the measure of angle FZJ?

Answers

Answer: 102 degrees

Step-by-step explanation:

just add 59 and 43 together

Answer:

102 degrees

Step-by-step explanation:

We are given angles JZU and UFZ already! This makes it easy to calculate FZJ, since it is an internal angle.

An internal angle like this is the sum of the other angles created by the line, in this case line segment UZ

What I'm saying is that the answer to your problem will be the sum of JZU and UFZ.

43 + 59 =

102 degrees

So, angle FZJ has a measurement of 102 degrees

Which of the following is true regarding the normal distribution?
a) It has two modes.
b) It is asymmetrical.
c) The mean, median, and mode are all equal.
d) The points of the curve meet the x-axis at z = -3 and z = 3.The correct option is c) The mean, median, and mode are all equal.
A normal distribution is a mathematical expression that defines the probability distribution of data. It is a unimodal concept, and it is symmetrical from both ends. Normal distribution emphasizes the equal mean, median, and mode of given data.

Answers

The correct option is C when the equal mean, median, and mode of the given data are highlighted by the normal distribution.

Given that,

We have to find the correct option for which of the following statements about the normal distribution is accurate.

The options are

a) It has two modes.

b) It is asymmetrical.

c) There is equality in the mean, median, and mode.

d) At z = -3 and z = 3, the curve's points intersect the x-axis.

We know that,

What is normal distribution?

The most significant continuous probability distribution in probability theory and statistics is the normal distribution, also referred to as the gaussian distribution. On occasion, it is referred to as a bell curve.

The probability distribution of data is expressed mathematically as a normal distribution. It is symmetrical from both ends and has only one mode. The equal mean, median, and mode of the given data are highlighted by the normal distribution.

Therefore, The correct option is C when the equal mean, median, and mode of the given data are highlighted by the normal distribution.

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A box with a square base, and no top made of a square piece by cutting 5 in. squares from each corner and folding up the sides. The box is to hold 6480 in3. How big a piece of cardboard is needed?

Answers

46 inches big piece of cardboard is needed.

A square box is a three-dimensional object with the shape of a cube.

As per the question,

Let the piece of cardboard   =   x inchesSide of the square( after cutting 5 in. from each corner )   =   x - 10Height of the box( when folded )   =   5The volume of the box   =   6480 in³

We know that,

                         V   =   h × w × l         →      1

where,              V  =   volume of the box

                         h  =   height of the box

                        w  =  width of the box

                          l  =   length of the box

Substitute the values V = 6480, h = 5, w = x - 10 and l = x - 10 in 1,

⇒   5 × ( x - 10 ) × ( x - 10 )   =   6480

⇒   5 × ( x² - 10x - 10x + 100 )   =   6480

⇒   5 × ( x² - 20x + 100 )   =   6480

⇒   5x² - 100x + 500   =   6480

⇒   5x² - 100x   =   6480 - 500

⇒   5x² - 100x   =   5980

⇒   5x² - 100x - 5980   =   0

⇒   5 ( x² - 50x - 1196 )   =    0

⇒   x² - 50x - 1196   =    0

By solving the equation x² - 50x - 1196   =    0 we get,

x   =   46   and   -26

⇒  We eliminate x = -26 since it is a negative value

⇒  We consider the positive value x = 46.

Therefore, 46 × 46 inches is the dimensions of the square card box.

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a top-performing seller, who sells items at an online marketplace, would like to test the claim that the average number of daily visitors to their online shop is greater than 980 visitors. to test this claim, at the 10% significance level, the top-performing seller collects the following data on a sample of 23 days and records the number of visitors. the following is the data from this study:

Answers

Parameter of interest: Considered Level of significance = 0.01 This is a right-tailed test.

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

Here the data is normally distributed and using the sample mean.

Parameter of interest :

Let u denote the population means. Considered Level of significance = 0.01 This is a right-tailed test.

Hence, the Considered Level of significance = 0.01 This is a right-tailed test.

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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

From a principal amount of $13000, the amount compounded at a rate of 3% quarterly over a time period of 5 years is $15,095.39

Compound Interest

The compound interest is the interest-based on the initial principal amount and the interest collected over the period of time. The formula for compound interest can be derived from the formula for simple interest. The formula for simple interest is the product of the principal, time period, and rate of interest (SI = ptr/100). Before looking into to derivation of the formula for compound interest, let us understand the basic difference between simple interest, compound interest computation. The principal remains constant over a period of time, for simple internet computation, but for compound interest computation the interest is added to the principal, for compound interest computation.  The compound interest formula is given below:

A = P(1 + r/n)^nt

Compound InterestP = principalr = rate n = number of times compoundedt = time

Putting the values in the formula above

A = 13000(1 + 0.03/4)^4 * 5

A = 13000(1.0075)^20

A = $15,095.39

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Trapezoid ABCD is congruent to trapezoid A′′B′′C′′D′′ . Which sequence of transformations could have been used to transform trapezoid ABCD to produce ​ trapezoid A′′B′′C′′D′′ ​ ? Responses ​ Trapezoid ABCD ​ was reflected across the y-axis and then across the x-axis. ​, , trapezoid A B C D, , ​, , was reflected across the y -axis and then across the x -axis. ​ Trapezoid ABCD ​ was reflected across the y-axis and then translated 7 units up. ​, , trapezoid A B C D, , ​, , was reflected across the y -axis and then translated 7 units up. ​ Trapezoid ABCD ​ was reflected across the x-axis and then across the y-axis. ​, , trapezoid A B C D, , ​, , was reflected across the x -axis and then across the y -axis. ​ Trapezoid ABCD ​ was translated 7 units up and then 12 units left. ​, , trapezoid A B C D, , ​, , was translated 7 units up and then 12 units left.

Answers

The sequence of transformations used to transform ABCD to A"B"C"D" is; Trapezoid ABCD ​ was reflected across the y-axis and then translated 7 units up.

How to find the sequence of transformation?

From the figure we have the pre image before transformation as Quadrilateral ABCD which is located at the bottom right of the graph.

Trapezoid ABCD and A"B"C"D" are equidistant from the x-axis

Trapezoid ABCD and A"B"C"D" are equidistant from the y-axis

Now, it is clear that Quadrilateral ABCD was first reflected across the y-axis.

Thereafter, when we look at the coordinates of the final transformed quadrilateral, it is clear that the second step of transformation was to translate the image by 7 units upwards.

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The table how the participation in a chool’ debate club during the lat four year. Year 1 2 3 4 Student 14 19 25 33 Between which to year did the club ee the greatet growth? By what percent did it grow?

Answers

The greatest growth was between years 1 and 2. The growth between those years was about 36%.

What is the greatest growth?

The process of developing; progressive expansion; the act or process of growing. size or developmental stage: It hasn't yet grown to its full potential. finished with development. growth of ritual forms: transition from a simpler to a more complex stage.

Here, we have

Given: Year 1 2 3 4, Student 14 19 25 33.

We have to calculate which year the club has the greatest growth.

19 - 14 = 5 / 14 x 100

= 35.714 > 36%

The other values by calculating the percent increase were

(from 2-3) = 31.57%

(from 3-4) = 32%

Hence, the greatest growth was between years 1 and 2. The growth between those years was about 36%.

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Given regular pentagon $ABCDE$, a circle can be drawn that is tangent to $\overline{DC}$ at $D$ and to $\overline{AB}$ at $A$. The number of degrees in minor arc $AD$ is
Define major arc DA as $DA$, and minor arc DA as $da$. Extending DC and AB to meet at F, we see that $\angle CFB=36=\frac{DA-da}{2}$. We now have two equations: $DA-da=72$, and $DA+da=360$. Solving, $DA=216$ and $da=144\Rightarrow \mathrm{(E)}$.
Let $O$ be the center of the circle. Since the sum of the interior angles in any $n$-gon is $(n-2)180^\circ$, the sum of the angles in $ABCDO$ is $540^\circ$.
Since $\angle ABC=\angle BCD=108^\circ$ and $\angle OAB=\angle ODC= 90^{\circ}$, it follows that the measure of $\angle AOD$, and thus the measure of minor arc $AD$, equals $540^\circ - 108^\circ-108^\circ-90^\circ-90^\circ=\boxed{\mathrm{(E)}144^\circ}$.

Answers

Number of degrees of minor arc is 108 degrees.

It is given that a regular pentagon ABCDE, a circle is drawn that is tangent to DC at D and to AB at A.

We need to find the number of degrees in the minor arc AD ie angle AED

A regular pentagon has all sides equal and all angles are equal.

The sum of all the angles of a pentagon is 540 degree

Each angle od a pentagon is 540/5 = 108 degree

Therefore, Number of degrees of minor arc is 108 degrees. or angle AED is 108 degrees.

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in a call center the number of received calls in a day can be modeled by a poisson random variable. we know that on average about 0.5% of the time the call center receives no calls at all. what

Answers

The average number of calls per day that can be modeled by a Poisson random variable is denoted by λ is equal to 5.29832.

A Poisson distribution in statistics is a probability distribution that is used to demonstrate how frequently an event is likely to happen over a given period of time.

Let C denotes the number of calls per day.

Given:

On average about 0.5% of the time the call center receives no calls at all.

So, P(C = 0) = 0.5% = 0.005

The formula for Poisson distribution is:

=> e^-λ . λ^x / x!

     

where x = 0,1,2,3, ....

λ = mean number of occurrences in the interval

e = Euler's constant ≈ 2.71828

=> -λ = ln (0.005)

=> λ = 5.29832

Thus, the average number of calls per day is equal to λ = 5.29832.

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find+the+standard+deviation+for+a+security+that+has+three+oneyear+returns+of+5%,+10%,+and+15%.+question+content+area+bottom+part+1+a.+25.00%+b.+8.33%+c.+16.67%+d.+5.00%

Answers

Answer:

Step-by-step explanation:

its 100%

How do you prove that an equilateral triangle is similar?.

Answers

For equilateral triangles, each side is equal. Hence the ratio between two sides of different triangles will be constant. Hence, all equilateral triangles are similar.

What is the equilateral triangle?

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal.

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here are 100 balls in a hat. 10 of them are RED, and 90 are BLACK. 3 balls are drawn at random with replacement. The following is the discrete probability distribution where R is the number of red balls drawn from the hat described above. P(R) 0.729 0.243 0.027 .001 What is the standard deviation for this probability distribution? (Be sure to use many (floating) decimals in your calculations, but round your answer to 3 decimal places.)

Answers

The standard deviation for that probability distribution is 0.520.

How to calculate standard deviation?

R = amount red ball drawn from the hat

P(R) = probability red ball drawn from the hat

σ = standard deviation

Standard deviation for probability distribution can be calculated by this formula,

σ = [tex]\sqrt{\sum R^2P(R)-(\sum RP(R))^2}[/tex]

First, we calculate [tex]\sum R^2P(R)[/tex]

[tex]\sum R^2P(R)[/tex] = [tex]0^2[/tex] × 0.729 + [tex]1^2[/tex] × 0.243 + [tex]2^2[/tex] × 0.027 + [tex]3^2[/tex] × 0.001

= 0 × 0.729 + 1 × 0.243 + 4 × 0.027 + 9 × 0.001

= 0 + 0.243 + 0.108 + 0.009

= 0.36

Next, we calculate [tex]\sum RP(R)[/tex]

[tex]\sum RP(R)[/tex] = 0 × 0.729 + 1 × 0.243 + 2 × 0.027 + 3 × 0.001

= 0 + 0.243 + 0.054 + 0.003

= 0.3

Now, we can calculate standard deviation,

σ = [tex]\sqrt{\sum R^2P(R)-(\sum RP(R))^2}[/tex]

= [tex]\sqrt{0.36-(0.3)^2}[/tex]

= [tex]\sqrt{0.27}[/tex]

= 0.51961524227

round to 3 decimal places

= 0.520

Thus, this probability distribution of red balls drawn from the hat has a standard deviation of 0.520.

Your question is incomplete, but most probably your full question was (image attached)

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There was a sample of 800 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 5.3% each year. Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams. Write an exponential function showing the relationship between y and t.After each year, the remaining mass is (1-0.053) = 0.947 times the mass at the start of the year. The exponential decay law is
y(t) = 800 (0.947)t milligrams

Answers

The exponential decay function which showing the relationship between y and t is y(t) = 800 (0.947)^t milligrams.

What is the formula for an exponential decay function?

The formula for exponential decay is f(x) = ab^x, where b denotes the decay factor. In the exponential decay function, the decay rate is given as a decimal. The decay rate is expressed as a percentage. We convert it to a decimal by simply reducing the percent and dividing it by 100.

Thus, in this case:

the initial amount of sample = 800 mg

rate of decay = 5.3%

Hence, f(x) = ab^x

y(t) = 800 (1 - 5.3/100)^t

y(t) = 800 (0.947)^t

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a(n) variable is characterized by infinitely uncountable values and can take any value within interval.

Answers

The correct answer is a countable variable is characterized by infinitely uncountable values and can take any value within interval.

A random variable is with an unknown value or a function that gives values to each of the results of an experiment.

Random variables are frequently identified by letters and fall into one of two categories: continuous variables, which can take on any value within a continuous range, or discrete variables, which have specified values.

Continuous random variables have an endless number of possible values and can represent any value that falls within a given range or interval.

An experiment that measures the amount of rain that falls in a city over the course of a year or the average height of a random group of 25 people are two examples of continuous random variables.

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Complete the square for the expression. Also, identify the resulting expression as a binomial squared. X2 + 15x + ____.

Answers

The completed square of the expression is  x² + 15x + 225/4  and the expression as binomial squared is  (x + 15/2)²  .

In the question ,

it is given that ,

the expression s given as x² + 15x + 225/4 ,

we have to complete the expression,

Dividing 15 by 2 , = 15/2

writing 15/2 as a power of 2 , (15/2)² = 225/4

the completed equation is X2 + 15x + 225/4  .

and the binomial squared of the expression is (x + 15/2)²

Therefore , the expression is  x² + 15x + 225/4  and binomial squared is (x + 15/2)²  .

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what are the coordinates of the point on the directed line segment from (-8, 5) to (-1, -2) that partitions the segment into a ratio of 5 to 2?

Answers

The coordinates of the point on the directed line segment from (-8, 5) to (-1, -2) that partitions the segment into a ratio of 5 to 2. Then the coordinates are (-3, 0).

How to determine the coordinates

Comparison in Vector

If P divides AB by the ratio AP : PB = m : n, the position vector of the point P : [tex]\boxed{\vec {p} =\frac{m\vec b + n\vec a}{m + n}}[/tex]

Suppose

The position vector of the point A (-8, 5) = a

The position vector of the point B (-1, -2) = b

Look at the picture in the attachment

Point P that partitions the segment into a ratio of 5 to 2 so that AP : PB = 5 : 2. Since m = 5 and n = 2, then:

[tex]$\begin{align} \ \vec {p} & =\frac{5\vec b + 2\vec a}{5 + 2} \\ \vec {p}& = \frac{1}{7} (5\vec b + 2\vec a) \\ \vec {p}& = \frac{1}{7} \left (5\begin{array}{c} \left[\begin{array}{cc}-1\\-2\end{array}\right] +2 \left[\begin{array}{cc}-8\\5\end{array}\right] \end{array}\right) \\ \vec {p}& = \frac{1}{7} \left (\begin{array}{c} \left[\begin{array}{cc}-5\\-10\end{array}\right] + \left[\begin{array}{cc}-16\\10\end{array}\right] \end{array}\right) \end{align}[/tex]

[tex]$\begin{align} \ \vec {p} & = \frac{1}{7} \left (\begin{array}{c} -21\\0 \end{array}\right) \\ \vec {p} & = \left (\begin{array}{c} -3\\0 \end{array}\right) \end{align}[/tex]

The coordinates that partitions the segment into a ratio of 5 to 2 is (-3, 0).

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How do I solve explain steps

Answers

Answer:

There's no real solutions to this expression.

Step-by-step explanation:

5x - (3 - 2x) = - (-x - 7) + 6x

First we need to get rid of the parenthesis and to do that we multiply inside the parenthesis with -1

5x - 3 + 2x = x + 6 + 6x (remember, negative × negative = positive)

Now add/subtract like terms:

5x + 2x - 3 = 7x - 3

x + 6x + 7 = 7x + 7

Rewrite the equation:

7x - 3 = 7x + 7, 7x will eliminate each other so we will be left with,

-3 = 7 which cannot be true so we say there's no real solutions to this expression.

You decided to get ome ice cream at Sweet Frog. The cot i $0. 30 per ounce, but you have a pride card that give you a dicount of $0. 10 off per ounce. If you buy 12 ounce of ice cream, what will be your total cot, excluding tax?

Answers

your total cost will be, excluding tax $2.4

What is a discount off?

A fixed amount off a price means subtracting the fixed amount from the original price. For example, if a service normally costs $95, and you have a $20 off coupon, you would deduct $20 from $95 to get the final price.

We have,

Initial cost per ounce = $0. 30

discount off per ounce = $0. 10

cost of 12 ounces of ice cream =?

so, the new cost per ounce will be,

$0. 30 - $0. 10 = $0. 20

cost of 12 ounces of ice cream = 12 * $0. 20

= $2.4

Hence, your total cost will be, excluding tax $2.4

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Nathaniel needs to order some new supplies for the restaurant where he works. The restaurant needs at least 381 forks. There are currently 237 forks. If each set on sale contains 8 forks, use the drop-down menu below to write an inequality representing
s

s, the number of sets of forks Nathaniel should buy.

Answers

The inequality representing  s, the number of sets of forks Nathan should buy is

s ≥ 11.75

What is inequality ?

It is the relation between two non equal comparison.

it can be denoted by ≤, ≥, < or > .

From the question, the restaurant needs at least 381 forks, i.e., if n represents the number of forks the restaurant needs, then

n ≥ 381

Also from the question, there are currently 287 forks. If y represents the number of forks the restaurant needs to buy, then

y ≥ 381 - 287

y ≥ 94

Also, each set on sale contains 8 forks. if s represents the number of sets of forks Nathan should buy, then

s ≥ 94/8

s ≥ 11.75

Hence, the inequality representing  s, the number of sets of forks Nathan should buy is

s ≥ 11.75

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What is the slope of the line that passes through the points (1, 6)(1,6) and (13, 2)(13,2)? write your answer in simplest form.

Answers

Answer:

-1/3

Step-by-step explanation:

(2-6)/(13-1)

-4/12

-1/3

What is the perimeter of rhombus lmno? 20 units 24 units 40 units 48 units

Answers

The perimeter of the rhombus LMNO is 48  units

In the rhombus LMNO,

The length of the side LM = The length of the side MN = The length of the side NO = The length of the side ON

Then,

The length of the side LM = 3x - 3

The length of the side MN = x + 7

Both are equal, then the equation will be

3x - 3 = x + 7

Group the like terms

3x - x = 7 + 3

2x = 10

x = 10 /2

x = 5

Substitute the value  in second equation

x + 7 = 5 + 7

= 12 units

The perimeter of the LMNO = 4 × 12

= 48 units

Hence, the perimeter of the rhombus LMNO is 48  units

The complete question is

What is the perimeter of rhombus LMNO ? A) 20 units B) 24 units C) 40 units D) 48 units

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a coin is flipped eight times where each flip comes up either heads or tails. how many possible outcomes: 1). are there in total? 2). contain exactly three heads? 3). contain at least three heads? 4). contain the same number of heads and tails?

Answers

There are 256 ways in total and 56 possible outcomes contain exactly three heads. The possible outcomes contain at least three heads is 219.

Consider the provided information.

A coin is flipped eight times where each flip comes up either heads or tails.

Part (a) How many possible outcomes are there in total?

Each time we flip a coin it comes up either heads or tail.

Therefore the total number of ways are: 2⁸ = 256

Hence, there are 256 ways in total.

Part (b) contain exactly three heads?

We want exactly 3 heads, therefore,

n=8 and r=3

According to the definition of combination:

To get exactly 3 heads,

n=8 and r=3

(⁸C₃ ) = 8! / 3!(5!) = 56.

Therefore, there are 256 ways in total and 56 possible outcomes contain exactly three heads. The possible outcomes contain at least three heads is 219.

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Select the correct answer. Victor solved this inequality as shown: Step 1: 3x − 5 > x + 5 Step 2: 2x − 5 > 5 Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequality B. inverse property of multiplication C. subtraction property of inequality D. transitive property of inequality

Answers

The property that justifies the work between step 3 and step 4 is division of property of inequality (option A)

What is the division property of inequality?

The division property of inequality states that if you divide one side of an inequality by a number, you can divide the other side of the inequality by the same number.

It can also be stated as if we divide both sides of an inequality by the same number, the inequality remains the same.

At step 3: 2x>10

2 is used to divide both sides

2x/2>10/2

x>5(step 4)

Therefore the property between step 3 and step 4 is division property of inequality.

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Please help. Pls. I will give you brainliest. You dont have to write 200 words Just choose a topic and write some sentences- I will do the rest ~~~Ty

Answers

Answer:

I had to screenshot from my computer because it said (you have an inappropriate word or link in your answer)    

we do things called culture monday at our school where we write about a problem and then do a discussion on it in the classroom

this was mine so nooooo plagiarism or anything.

please mark brainliest......

Answer:

World War II started on September 1st, 1939, a decade after America’s stock market crash and downfall of the economy, which was in 1929, when Germany, led by a man born in Austria called Adolf Hitler, invaded Poland. France and England immediately declared war on Germany and Germany’s allies.

Germany had two allies, Japan and Italy, Italy mostly provided food and supplies, while Japan provided manpower, along with Germany. Germany, Japan, and Italy were called the Axis powers, and England, Russia (Then called the Soviet Union), and America (When America joined the war), along with many other countries, such as China and France (Except for the four years which Germany occupied France, 1940--1944), were called the Allied powers.

Germany invaded and occupied Austria, Belgium, France, Norway, Luxembourg, Greece, Czechoslovakia, Greece, Denmark, Holland, Hungary, the Netherlands, and many other countries with the help of Italy and Japan.

The United States wanted to be neutral through World War II like the Irish and Swiss, but the Axis Powers did not let this happen. Instead, Japan bombed Pearl Harbor and utterly destroyed and sunk many ships, so the United States had no choice but to join the war and the Allied forces.

The United States both lost and won many battles, and Germany was losing battles against the Soviet Union and England. Germany lost many battles in the Soviet Union, which was fought in harsh and bitter cold, and also lost the Battle of Britain fought in the skies over England between Britain’s Royal Air Force (RAF) and Germany’s Luftwaffe.

Many people died as a result of the Battle of Britain by bombs and flying shrapnel. In order to try to get their country back to normal, Great Britain started to ration food, drafted men over eighteen to go to the war front, made shelters all over England, in cities, towns, even in the country, in case of an air raid. The Battle of Britain was mostly fought in the skies of London, but enemy planes heading towards London to fight might drop a bomb to wipe away towns, cities, or a part of country off the map.

Germany soon retreated from Great Britain and thought that England would surrender with the rest when Germany conquered and ruled the world, which was Germany’s goal, but England, after some recovery, fought Germany as hard as ever, angered by the people and planes lost because of the Battle of Britain.

In the middle of this, President Franklin Delano Roosevelt died because of a mixture of bad health, too much stress, and his polio. Americans grieved for President Roosevelt, and elected a new president, President Harry Truman.

With forces fighting with both the Soviet Union and England, and later fighting on D-Day, Germany could not last for long, even with its two allies. But the number of allies Germany had soon reduced to one, for Italy joined the Allied powers, betraying the Axis Powers. Germany  desperately tried to fight back the forces of the Allied powers, but soon surrendered days after Adolf Hitler’s death, on May 8th, 1945.

Even when its ally Germany had surrendered and Italy had gone over to the Allies, Japan still fought, even though there was very little chance they would win. This was a bad idea, an idea which would change history. The Allied powers turned their full attention on defeating Japan, which was a bad thing, since Japan could only take over a few islands in the Pacific belonging to the United States and could not defeat any others in the beginning when the Allied powers’ attention was divided. As a result, many, at least hundreds, died, deaths that were not even necessary. The United States dropped two atomic bombs from one of America’s bomber planes on Japan’s two major cities, Hiroshima and Nagasaki days apart, so Japan surrendered, unable to lose any more people then it had already.

The two atomic bombs were built in the midst of fighting and stress of World War II in Manhattan, New York by a group of people who specialized in physics, math, and chemistry. The atomic bomb’s code name was: The Manhattan Project. The Manhattan Project, when done and ready, after dropped from an American bomber plane, killed over a hundred thousand Japanese in the two major cities Hiroshima and Nagasaki, most of them regular Japanese civilians going about their daily life.

World War II was a very important war and time period that changed the world. It changed the human race. The atomic bomb, invented in World War II, soon led other countries, such as England, France, the Soviet Union (Later known as Russia), and China to build it too, which gave these countries a huge advantage in war. America’s stock market bounced back. President Harry Truman became popular for ending World War II.

Step-by-step explanation:

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Brainliest, Please!

If w = 4y and 2w = 8, find the value of y.

Answers

Answer:
y=1

Explanation:
2(4y)=8
8y=8
y=1

Answer:

y=1

Step-by-step explanation:

we can find what w is equal to first

2w=8

/2. /2

w=4

Now we fill in w to find y

4=4y

/4. /4

1=y

Hopes this helps please mark beainliest

Which congruence theorem can be used to prove ABC equals DEC?.

Answers

Because the corresponding sections of congruent triangles are congruent, you may use the Vertical Angles Congruence Theorem to demonstrate that ABC DEC. b. CAB CDE.

The AAS Theorem is what?

According to the Angle-Side-Angle Postulate (ASA), two triangles are congruent if two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.

Are AAS and SAA the same?

Two postulates that aid in determining if two triangles are congruent are ASA and AAS. While AAS stands for "Angle, Angle, Side," ASA stands for "Angle, Side, Angle." If two figures are the same size and shape, they are said to be congruent. In other words, two congruent figures are actually two separate locations of the same figure.

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the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is:

Answers

The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

What is square of correlation coefficient?

A helpful number in linear regression is the square of the correlation coefficient, or r2.

The percentage of the variance in one variable that can be partially explained by another variable is represented by this value.

The summary table in the Regression output contains the "R" value, which is the coefficient of correlation.

Coefficient of determination is another name for R square. To calculate R squared, multiply R by R.

The square of the correlation coefficient is what is meant by the term "coefficient of determination."

Hence, the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

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11) The solution to 3(x - 8) + 4x = 8x + 4 is

a) 12 b) 28 c) -12 d) -28

Answers

Answer:

d) -28

Step-by-step explanation:

Distribute the "3" on the left side of the equation, then isolate the variable on one side:

3(x - 8) + 4x = 8x + 4

3x - 24 + 4x = 8x + 4

7x - 8x = 4 + 24

-x = 28

x = -28

3(x-8) +4x = 8x+4
3x- 24 + 4x -8x =4
-x =4 +24
x = - 28
So the answer is (d).

expert that helps you learn core concepts.
See Answer
Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 23, 25, 16, 20, 13, 10, 28, 19. Use Table 2.
a. Calculate the sample mean and the sample standard deviation. (Round intermediate calculations to 4 decimal places. Round "Sample mean" to 3 decimal places and "Sample standard deviation" to 2 decimal places.)
Sample mean.
Sample standard deviation
b. Construct the 90% confidence interval for the population mean. (Round "t" value to 3 decimal places and final answers to 2 decimal places.)
Confidence interval to
c. Construct the 99% confidence interval for the population mean. (Round "t" value to 3 decimal places and final answers to 2 decimal places.)
Confidence interval to

Answers

The sample mean of the observations is 19.25 and the standard deviation is 2.15

Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.  

Sample standard deviation is the square root of the variance

mean = (23 + 25 + 16 + 20 + 13 + 10 + 28 + 19)/8

mean = 19.25

variance = (x₁ - mean)²/n(n-1)

variance = ((23 - 19.25)² + (25 - 19.25)² + (16 - 19.25)² + (20 - 19.25)² + (13 - 19.25)² + (10 - 19.25)² + (28 - 19.25)² + (19 - 19.25)²)/(8(7))

variance = 259.5/56

variance = 4.63

Standard deviation = √variance = √4.63 = 2.15

Therefore, the sample mean of the observations is 19.25 and the standard deviation is 2.15

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How do you find graph of equation?.

Answers

Step-by-step explanation:

You must know the properties of equations.

If the graph is a line, then

the form of the equation will be either

[tex]ax + by = c[/tex]

or

[tex]y = mx + b[/tex]

If the graph is shaped like a U( parabola), then our equation will be

[tex]ax {}^{2} + bx + c[/tex]

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