What is the quotient if 4/15 of 40 is divided by 1/2 of 1/8?

Answers

Answer 1

Answer:

l

Step-by-step explanation:


Related Questions

Triangle ABC is rotated 180 degrees about the origin. Describe the relationship between the corresponding angles of triangle ABC and its image

Answers

The corresponding angles of triangle ABC and its image are congruent

How to determine the relationship?

The transformation rule is given as:

A rotation of 180 degrees about the origin

The rotation transformation is a rigid transformation.

This means that it does not alter the side lengths and the angle measure of the shape being rotated

Hence. the corresponding angles of triangle ABC and its image are congruent

Read more about transformation at:

https://brainly.com/question/1548871

#SPJ1

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

H

Step-by-step explanation:

every "|" is equal to 0.1

so you count 5 points which will get you to H which is 0.5

In ΔOPQ, o = 500 cm, p = 600 cm and q=380 cm. Find the measure of ∠P to the nearest 10th of a degree.

Answers

The measure of ∠P to the nearest 10th of a degree is 84.8°

Law of Cosines

From the question, we are to determine the measure of ∠P

From the law of cosines, we can write that

[tex]cos \ P=\frac{o^{2}+q^{2}-p^{2} }{2oq}[/tex]

From the given information,

o = 500 cm

p = 600 cm

q = 380 cm

Putting the parameters into the formula, we get

[tex]cos \ P=\frac{500^{2}+380^{2}-600^{2} }{2\times 500 \times 380}[/tex]

[tex]cos \ P =\frac{34400}{380000}[/tex]

[tex]cos \ P =0.0905[/tex]

P = cos⁻¹(0.0905)

P = 84.8076

P ≅ 84.8°

Hence, the measure of ∠P to the nearest 10th of a degree is 84.8°

Learn more on the Law of Cosines here: https://brainly.com/question/20890746

#SPJ1

The table below shows some inputs and outputs of the invertible function fff with domain all real numbers.
xxx 141414 -6−6minus, 6 -1−1minus, 1 101010 -10−10minus, 10 333
f(x)f(x)f, left parenthesis, x, right parenthesis 777 -10−10minus, 10 -15−15minus, 15 141414 -4−4minus, 4 -9−9minus, 9
Find the following values:
f^{-1}(f^{-1}(7))=f
−1
(f
−1
(7))=f, start superscript, minus, 1, end superscript, left parenthesis, f, start superscript, minus, 1, end superscript, left parenthesis, 7, right parenthesis, right parenthesis, equals
7
f^{-1}(-4)=f
−1
(−4)=f, start superscript, minus, 1, end superscript, left parenthesis, minus, 4, right parenthesis, equals
(thats for the people who copied and pasted it off Khan Academy.)


PS: I DONT KNOW IF IT IS CORRECT!!!!! please, someone check it.

Answers

The value of f⁻¹(f⁻¹(7)) is 10

How to determine the value of the expression?

The expression is given as:

f⁻¹(f⁻¹(7))

We start by solving the inner expression f⁻¹(7).

The above means that we determine the x value when y = 7.

So, we have:

f⁻¹(7) = 14

Substitute f⁻¹(7) = 14 in f⁻¹(f⁻¹(7))

f⁻¹(14)

Next, we determine the x value when y = 14

f⁻¹(14) = 10

Hence, the value of f⁻¹(f⁻¹(7)) is 10

Read more about functions at:

https://brainly.com/question/4025726

#SPJ1

Answer:

20

10

Step-by-step explanation:

When Vince does 14 push-ups and 12 sit-ups, it takes a total of 52 seconds. In comparison, he needs 48 seconds to do 12 push-ups and 12 sit-ups. How long does it take Vince to do each kind of exercise?

Answers

Answer:

it takes 2 seconds to do one situp

it takes 2 seconds to do one pushup

to do 14 pushups, it takes 28 seconds.

to do 12 situps it takes 24 seconds

to do 12 pushups, it takes 24 seconds

BRAINLIEST PLEASE!

hope this helps :)

Step-by-step explanation:

14x + 12y = 52

12x + 12y = 48

^^^ this is an inequality that we can make.  

x stands for pushups

y stands for situps

if we subtract the second equation from the first, we get

2x = 4

x = 2

now we can place x in one of the equations to solve for y

12(2)+12y=48

24 + 12y = 48

12y = 24

y = 2

Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line. 5x + 15< 60

Answers

The solution to the given inequality is x < 9

What are inequality

Inequality are expressions not separated by an equal sign, Given the inequality

5x + 15< 60

Subtract 15 from both sides

5x < 60 - 15

5x < 45

Divide both sides by 5

5x/5 < 45/5

x < 9

The number line that describes the solution is attached

Learn more on inequality here https://brainly.com/question/24372553

#SPJ1

11-8(12+6)÷6²

pls answer right :)

Answers

Answer: The answer is 7

I did the math

Answer:

7

Step-by-step explanation:

11 - 8(12 + 6) / 6²

Rearrange using the order of operations.

11 - ((8 * (12 + 6)) / (6²))

((8 * (12 + 6)) = 144

(6²) = 36

(6²) / 144 = 4

(11 - 4)

= 7

im wondering what is 4.3 x 2.9

Answers

Answer:

[tex]\frac{1247}{100}[/tex], or 12.47

Step-by-step explanation:

I looked this up on my scientific calculator. I hope this helps! :)

How to find x for −x/8 < 1.5

Answers

Answer:

x>-12

Step-by-step explanation:

We want to the equation so that x is the only thing on the left-hand side.
-x/8 < 1.5 (multiply both sides by 8)
-x < 12

Now, whenever you multiply or divide by a negative when dealing with an inequality, you have to switch the sign.
x > -12.

nth term of this quadratic sequence -1,2,7,14,23

Answers

Since we know it's quadratic, the n-th term will follow the pattern

[tex]x_n = an^2 + bn + c[/tex]

for some unknown coefficients a, b, and c.

Given that [tex]x_1=-1[/tex], [tex]x_2=2[/tex], and [tex]x_3=7[/tex], we have the following conditions on these coefficients:

[tex]\begin{cases} a + b + c = -1 \\ 4a + 2b + c = 2 \\ 9a + 3b + c = 7 \end{cases}[/tex]

Solve this system to get a = 1, b = 0, and c = -2. Then

[tex]\boxed{x_n = n^2 - 2}[/tex]

To solve the system, use elimination.

[tex](4a + 2b + c) - (a + b + c) = 2 - (-1) \implies 3a + b = 3[/tex]

[tex](9a + 3b + c) - (a + b + c) = 7 - (-1) \implies 8a + 2b = 8 \implies 4a + b = 4[/tex]

[tex](4a + b) - (3a + b) = 4 - 3 \implies a = 1 \implies b = 0 \implies c = -2[/tex]

Indigo needs to order some new supplies for the restaurant where she works. The restaurant needs at least 430 knives. There are currently 269 knives. If each set on sale contains 18 knives, what is the minimum number of sets of knives Indigo should buy? (Help please)

Answers

Inequalities help us to compare two unequal expressions. The minimum number of sets of knives Indigo should buy is 8.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Let the number of sets of knives indigo should buy be represented by x.

Given Indigo needs to order some new supplies for the restaurant where she works and the restaurant needs at least 430 knives. Also, There are currently 269 knives. Now, If each set on sale contains 18 knives the inequality that can represent the minimum number of sets of knives Indigo should buy is,

269+18x≥430

18x≥430-289

18x≥141

x≥7.833

x≥8

Hence, the minimum number of sets of knives Indigo should buy is 8.

Learn more about Inequality:

https://brainly.com/question/19491153

#SPJ1

Tanya and tim clean the house in 3 hours their 3 children at the same 6 hours
how long would it take to clean the whole house if they did it together?

Answers

It will take them exactly 4hours 48 minutes.

what is rate?

Rate is a measure of a given quantity against a known or standard quantity.

Analysis:

If Tanya and Tim cleaned the house in 3 hours. Then either of them would clean the house in 2 x 3 = 6 hours.

If their 3 children cleaned the house in 6 hours, then each child would clean the house in = 3 x 6 = 18 hours

Total time for cleaning the house = 18 hours + 6 hours = 24 hours

If the five people were to do it at once then time taken to clean the house = 24/5 = 4.8 hours = 4 hours 48 minutes

In conclusion, the time for 5 people to clean the house is 4 hours 48 minutes

Learn more about rate: brainly.com/question/24304697

#SPJ1

To play a board game, a player spins the pointer of a spinner with four equal sections numbered 1–4, and then flips a fair coin. Use a tree diagram to represent the sample space. What is the probability of spinning either a 3 or a 4 AND flipping a head?

Answers

Answer:

2/8

Step-by-step explanation:

there is the 4 sections of a spinner and 2 sides on the coin when you lay it out that leaves 2 opportunities to spin a 3 or a 4 and flipping heads

What is the time in 24 hour clock for 03:50 pm?
a.0350 hrs
b.1350 hrs
c.1550 hrs
d.1650 hrs​

Answers

Answer:

Option C

Step-by-step explanation:

Any evening time on a 24 hour clock will be that hour add 12 :

3:50 pm =

3:50 + 12:00 = 15:50

Option C must be the answer

Hope this helped and brainliest please

Answer:

c.1550 hrs

Step-by-step explanation:

It Is military time to it stays going for 12:00 to 13:00 14:00 15:00 and so on

Hope This Helped

1.How many more pupils go to school by tricycle than bicycle?
A.4
B.5
C.3
D.2

2.what is the total number of pupils in grade 6 Simplicity?
A.33
B.28
C.29
D.30

3.what fraction of the pupil in grade 6 Simplicity walk to school?
A.8/33
B.12/33
C.10/33
D.3/33

4.what percentage of the pupil goes to school by walking?
A.24%
B.33%
C.9%
D.36%

Answers

B. 5
A. 33
B. 12/33
D. 36%

A caterer charges the same price for each wrap orderd.each bottle of water is also the same price. The cost of buying 50 wraps and 60 water bottles is $445. The cost of buying 60 wraps and 40 water bottles is $470 what is the price?

Answers

Answer:it’s in the explanation

Step-by-step explanation:

a. Each wrap costs $2.00, and each bottle of water costs $6.50.
b. Each wrap costs $4.70, and each bottle of water costs $4.70.
c.Each wrap costs $5.30, and each bottle of water costs $3.00.
d. Each wrap costs $6.50, and each bottle of water costs $2.00.

Answer:

The wraps are $6.50 and the water bottles are $2

Step-by-step explanation:

Fill in the missing number in this sequence:
{ } 216, 36, 6, 1

Answers

Answer:

1296

Step-by-step explanation:

times each number by 6

example: 1x6=6 6x6=36 36x6=216 216x6=1296

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to fill in the missing number in the sequence

[tex]\star~\mathrm{(~~),216,36,6,1}[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Take a look at the common ratio.

Since every number is divided by 6, we need to multiply 216 times the common ratio, 6:

[tex]\star~\mathrm{216\times6}[/tex]

Simplify!

[tex]\star~\mathrm{1296}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

24 is 12% of what number?

Answers

Answer:

200

Step-by-step explanation:

(24 x 100) / 12

Answer = 200

To solve this problem you multiply 24 by 100 and then divide the total by 12 as follows: (24 x 100) / 12

Students in a math class recorded the number of text messages they received the previous day. how many students received at least 10 messages?

Answers

Answer:

14 students

Step-by-step explanation:

You didn't include a graph, so I looked up the question to find the graph you are likely talking about.

If this graph does not match, ignore my answer (although the question is exactly the same so I'm guessing it might be the same)

{even if different , conceptually, here is what you do: }

Receiving at least 10 messages includes those who receive 10 messages.

Each X represents 1 student. So, 3 students received exactly 10 messages.

3 (who received 10)

2 (who received 15)

4 (who received 20)

5 (who received 25)

+________

14 students

14 students received ≥ 10 messages

(≥ means greater than or equal to,

< is less than (less < more)

> is greater than (more > less)

the line under includes the value _ (same or more ≥ than this value ;  same or less ≤ than this value)

hope this helps you !!

helppppppppppppppppp pleaseeeeeeeeeeee​

Answers

Greater than 6 it’s labeled as 1 through 6 a fair dice has a probability of 16

A ski resort claims that there is a 75% chance of snow on any given day in january and that snowfall happens independently from one day to the next. a family plans a four-day trip to this ski resort in january. let x represent the number of days it snows while the family is there. what are the mean and standard deviation of x? mu subscript x baseline = 1, sigma subscript x baseline = 1 mu subscript x baseline = 2, sigma subscript x baseline = 0.56 mu subscript x baseline = 3, sigma subscript x baseline = 0.75 mu subscript x baseline = 3, sigma subscript x baseline = 0.87

Answers

Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:

[tex]\mu = 3, \sigma = 0.87[/tex]

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem, we have that the parameters are given as follows:

n = 4, p = 0.75.

Hence the mean and the standard deviation are given as follows:

E(X) = np = 4 x 0.75 = 3.[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{4 \times 0.75 \times 0.25} = 0.87[/tex]

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1


There are 4 quarters, 5 nickels and 3 dimes in a jar. One coin is randomly drawn,
replaced and then another coin is drawn.
What is the probability of getting a quarter then a nickel?
5/36
9/12
9/144
1/5

Answers

Answer:

[tex]\displaystyle\frac{5}{36}[/tex]

Step-by-step explanation:

Probability is used to find how likely an outcome is to happen. Probability can be expressed as a fraction with the total outcomes as the denominator and the number of successful outcomes (what you want to happen) as the numerator.

Sample Size

The sample size is the number of possible outcomes. In this case, the sample size will be the total number of coins. To find the sample size we need to add together all of the coins.

4 + 5 + 3 = 12

This means that the sample size is 12. For this type of probability, the sample size will serve as the denominator for each probability.

Replacement

In the question, it is stated that coins are replaced. This means that the sample size will not change at any point. So, the denominator will be the same for every probability.

Creating Probability Fractions

We are looking for the probability of getting a quarter and nickel, so we need to find the fractions that represent both situations.

First, let's find the quarter. As stated in the first paragraph, the number of successful outcomes is the numerator. There are 4 quarters, so 4 is the number of successful outcomes. Therefore, 4 will be the numerator. Then, 12 will be the denominator because 12 is the sample size.

[tex]\displaystyle\frac{4}{12}[/tex]

Next, we need to find the probability of a nickel. Since there are 5 nickels, there are 5 successful outcomes. Then, the sample size is still 12 because there is replacement.

[tex]\displaystyle\frac{5}{12}[/tex]

Complex Probability

Now we have the probability of both a quarter and nickel alone. However, this question asks about the probability of both, so this is an example of complex probability. To find complex probability, you have to multiply each probability together.

[tex]\displaystyle\frac{4}{12} *\frac{5}{12}=\frac{20}{144}[/tex]

To reach the final answer we have to simplify the answer.

[tex]\displaystyle\frac{20}{144} =\frac{5}{36}[/tex]

This means that the probability of pulling a quarter and then a nickel is 5/36.

A telephone company charges a $0.25
connection fee, then $0.10 per minute for
long distance calls. Which statement is
true regarding this situation?

Answers

The value of a dependent variable is dependent on the value of an independent variable. The correct option is C.

What are independent and dependent variables?

Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.

If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.The variables who take their values based on some other variables' values are called dependent variables.

The complete question is:

A telephone company charges a $0.25 connection fee, then $0.10 per minute for long distance calls. Which statement is true regarding this situation?

A. The rate of change is $0.25 and minutes are the independent variable.

B. The rate of change is $0.25 and minutes are the dependent variable.

C. The rate of change is $0.10 per minute and minutes are the independent variable

D. The rate of change is $0.10 per minute and minute are the dependent variable.

The cost of making a call is the sum of the cost of connection fee which is one time fee and cost $0.25, and the cost charged for a minute which depends on the number of minute for which the call is been established. Therefore, the total cost can be written for a x minute call is,

Total Cost = $0.25 + $0.10(x)

Since the total cost is dependent on x, therefore, x which is the minute is the independent variable. The rate of change is $0.10 per minute and minutes are the independent variable.

Hence, the correct option is C.

Learn more about Dependent and Independent Variable:

https://brainly.com/question/27795876

#SPJ1

4. At which point does the function y = -x² + 6x - 5 reach its maximum value?

Answers

Answer:

(3,4)

Step-by-step explanation:

Hello!

To find the maximum value, we can find the vertex of the graph.

Since the coefficient of x² is negative, the graph opens downwards, meaning that the vertex would be the highest point.

To solve for the vertex, we can convert it to vertex form.

Converty = -x² + 6x - 5y = -1(x² - 6x) - 5y = -1(x² - 6x + 9) - 5 + 9y = -1(x - 3)² + 4

The vertex is (3,4)

The diagram shows a convex polygon.
What is the sum of the interior angle measures of this polygon?
°

Answers

Answer:

1080

Step-by-step explanation:

Hi, I'm in 7th grade and I'm about to fail Mathematics. Please help me...

x+7=5

Answers

Answer:

x=-2

Step-by-step explanation:

x+7=5

To find x, we subtract 7 from both sides, to get x+7-7=5-7

x=5-7

x=-2

Hope this helped!

Answer:

x = -2

Step-by-step explanation:

in order to find x u need to subtract 7 from 5 to get -2. therefore your answer is -2

Please someone help me with this

Answers

Tan (37)= x/1000
0.75355=x/1000
X=753.55

Answer is C

Answer:
Option c

Step-by-step explanation:

Since tangent = op/adj, in this case the tan37 would be x/1000.

Then, set it up as an algebra problem.

tan37 = x/1000

Multiply both sides by 1000, so 1000tan37=x

that simplifies to x = 753.6

PLEASE HELP ME I'M GIVING 20PTS AND MARKING BRAINLIEST!!!!

If sinθ=1/3, what are the values of cosθ and tanθ?

Answers

Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:

[tex]\cos{\theta} = \pm \frac{2\sqrt{2}}{3}[/tex][tex]\tan{\theta} = \pm \frac{\sqrt{2}}{4}[/tex]

What is the trigonometric identity using in this problem?

The identity that relates the sine squared and the cosine squared of the angle, as follows:

[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]

In this problem, we have that the sine is given by:

[tex]\sin{\theta} = \frac{1}{3}[/tex]

Hence, applying the identity, the cosine is given as follows:

[tex]\cos^2{\theta} = 1 - \sin^2{\theta}[/tex]

[tex]\cos^2{\theta} = 1 - \left(\frac{1}{3}\right)^2[/tex]

[tex]\cos^2{\theta} = 1 - \frac{1}{9}[/tex]

[tex]\cos^2{\theta} = \frac{8}{9}[/tex]

[tex]\cos{\theta} = \pm \sqrt{\frac{8}{9}}[/tex]

[tex]\cos{\theta} = \pm \frac{2\sqrt{2}}{3}[/tex]

The tangent is given by the sine divided by the cosine, hence:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

[tex]\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}[/tex]

[tex]\tan{\theta} = \pm \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}[/tex]

[tex]\tan{\theta} = \pm \frac{\sqrt{2}}{4}[/tex]

More can be learned about trigonometric identities at https://brainly.com/question/24496175

#SPJ1

If you roll a dice four times, what is the chance that you roll a 2?

Answers

Answer:

  about 51.77%

Step-by-step explanation:

The probability you will roll a 2 is the complement of the probability you will not roll a 2.

__

p(no 2)

A die has 6 faces, one of which is labeled with 2. The probability of rolling a 2 on any given roll is 1/6, so is 1-1/6 = 5/6 that a 2 will not be rolled. Sequential rolls of the die are presumed to be independent, so the probability of 4 rolls not showing a 2 at any time is ...

  p(no 2) = (5/6)^4 = 625/1296

p(2)

The probability that at least one 2 will show up on at least one roll is the complement of this value:

  p(some 2) = 1 -625/1296 = 671/1296 ≈ 0.517747

The chance you will roll at least one 2 is about 51.77%.

Solve for for x:
3x - 2 > 5x + 10

a. X> 6
b. x < 6
c. x < -6
d. X > -6

Answers

Answer:

[tex]x < -6[/tex]

Step-by-step explanation:

[tex]~~~~~~3x-2 > 5x+10\\\\\implies 5x+10 < 3x-2\\\\\implies 5x < 3x-2-10\\\\\implies 5x < 3x-12\\\\\implies 5x-3x < -12\\\\\implies 2x < -12\\\\\implies x < -\dfrac{12}2\\\\\implies x < -6[/tex]

Other Questions
Lines 657659: What does Judy offer Dexter? What would this mean to Dexter? What does Judy promise him? How does this relate to what you know about his dreams? Marriage According to the equal pay bill letter, what will happen if buisnesses are forced to pay women the same amount as they pay men A. The cost of goods and services will increaseB. The quality of work will decreaseC. Men will make less moneyD. The government will raise minimum wage What are the coordinates of the vertices of the image?Translate the shape A four squares right and two squares down. A trellis consists of overlapping wooden slats.1.What is the position of the indicated angles?2.What should the value of x be in order for the two slats to be parallel? 3. Which theorem or postulate will you use to prove the parallel slats? 4. Find the measure of the indicated angle. What is the next step an organization should take after capturing and collecting data? A nation with a low per capita GDP, low literacy rate, and high infant mortality rate would most likely be considered adeveloped nation.less developed country.newly industrialized country.transitional country. It is important to first define the ________ so that the writer can make documents understandable and memorable. Which phrase from the passage most helps the reader analyze whether the princess chooses the lady or the tiger?reflect upon this questiona study of the human hearther soul at a white heatwho should have him Olaudah Equino describes a what socially back home in West Africa What is the formula for the ether functional group? 9. Which of the following are nonlegislative powers held by state legislatures? Select all that apply. (3 points)amending state constitutionsapproving or rejecting executive appointmentsdefining crimes and punishmentsconducting impeachment proceedingsmaintaining public schoolssafeguarding the welfare of the peopletaxing, spending, and borrowing why is it difficult to climb on a mountain through vertical path than a curved path 10 + (2 x 3)2 4 1 over 2 to the power of 3 What frequently happened to the funds the Dakota Sioux were supposed to receive from the government Astrid travels 130 km in 2 hours and then at 85 km/h for another 3 hours to reach herdestination. On the return journey home, she travels a total of 5 hours.Determine the speed of the car that Astrid will travel to get home. Which transitions can compare and contrast the appearance of two characters in a fictional narrative?(Select two that apply)- finally- in the meantime- in the same way- however B. WORD STUDY: The Latin suffixes -ory and -ary mean "of" or "having to do with."Add the suffix to the word to create a new word. (You may have to add or subtracta letter.) Then, use the new word in a sentence.1. custom + -ary=.2. honor +-ary=_3. sense +-ory=_ Please solve (30 points) What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/7)^x Read the excerpt from President Eisenhowers State of the Union address on February 2, 1953.A cardinal ideal in this heritage we cherish is the equality of rights of all citizens of every race and color and creed.We know that discrimination against minorities persists despite our allegiance to this ideal. Such discriminationconfined to no one section of the Nationis but the outward testimony to the persistence of distrust and of fear in the hearts of men.This fact makes all the more vital the fighting of these wrongs by each individual, in every station of life, in his every deed . . .I propose to use whatever authority exists in the office of the President to end segregation in the District of Columbia, including the Federal Government, and any segregation in the Armed Forces.What is the presidents purpose for including these details?to inform his listeners about laws in the District of Columbiato inform his listeners about the work of the US militaryto persuade his listeners of the importance of equal rightsto persuade his listeners to vote for him for president