In the diagram below of triangle BCD, E is the midpoint of BD and F is the midpoint of CD. If EF = 43-4x, and BC = 32-2x, what is the measure of EF?

In The Diagram Below Of Triangle BCD, E Is The Midpoint Of BD And F Is The Midpoint Of CD. If EF = 43-4x,

Answers

Answer 1

The measure of the length EF of the triangle is; 21

How to solve similar triangles?

We are given the the triangle BCD and we are told that;

E is the midpoint of BD.

F is the midpoint of CD

Now, since we have those midpoints, it means that by the concept of similar triangles, that;

DF/DC = EF/BC

Since F is the midpoint of DC, then it means that;

2DF = DC

We are given;

EF = 43 - 4x, and BC = 32 - 2x

Thus, we now have;

DF/(2DF) = (43 - 4x)/(32 - 2x)

1/2 = (43 - 4x)/(32 - 2x)

Cross multiply to get;

32 - 2x = 43 - 4x

4x - 2x = 43 - 32

2x = 11

x = 11/2

x = 5.5

Thus;

EF = 43 - 4(5.5)

EF = 43 - 22

EF = 21

Thus, we conclude that the side length EF is 21.

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Related Questions

Twice the measure of an angle is 18° more than the complement of the angle. Find the measure of the angle and the measure of its complement.

Answers

Answer:

Below

Step-by-step explanation:

angle = x

complement = 90 - x

  complement also is given as   2x-18

      2x-18 = 90 - x

       3x = 108

         x = 36°       then complement = 90-x = 54°

Assume that each Box object has the properties x, y, width, height and have their origin at their center, and that neither the objects nor the bounding boxes rotate.

Answers

As you stated, a convention is as follows: x, y, w, h; likewise, the origin of the picture is from top left, not really the bottom left, as indicated by your drawing. The clusters for top left the box's corner are x, y, and w, h.

The bounding box for object detection may be located in what way?

Box Bounding In order to characterize the target position in object recognition, we often utilize a bounding box. Both x and y axis values there at upper-left corner as well as the x and y axes coordinates inside the bottom part of the rectangular define the bounding box, which is a rectangular box.

How can I determine the rectangle's bounding box?

The x - axis and y axis values at the upper-left corner as well as the x and y axis values inside the bottom part of a rectangle define the bounding box, which is a rectangular box. Based on the image, we will create the bounding boxes for the dog and cat.

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33. Express regularity in repeated reasoning. If
5 miles is the distance a cyclist travels in
20 minutes, then how many miles does the cyclist
travel in 1 minute?

Answers

5 miles is the distance a cyclist travels in 20 minutes, then 0.25 miles does the cyclist travel in 1 minutes.

What is miles unit in distance?

A mile was equivalent to 1,000 Roman strides, with a stride being equal to two paces. The term "mile" is derived from the Latin "mille passus," which means "one thousand paces." The English Parliament established the Mile at eight furlongs (one furlong is 660 feet) in 1592. 5,280 feet, 1,760 yards, or around 1,609 meters make up a mile. On July 1, 1959, an international agreement established the mile's precise measurement at 1609.344 metres. Currently, the mile is the only unit of measurement used in the US and UK.

So, a mile is one of many different distance units.

Given that,

In 20 minutes a cyclist travels distance of 5 miles

So, in 1 minutes cyclist travels distance of [(5/20) × 1] miles

                                                                     = 0.25 miles

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Callie and her friend Elena are reading through different novels they checked out from their school library last Tuesday. Callie's progress
Calculator:
Neutral
through her novel can be modeled by the function p(d) = -25d. +
318, where p(d) represents the number of pages remaining to be read and dis the number of days since receiving the book. Elena's progress through her novel is modeled by the graph below.I

Answers

Answer: 69

Step-by-step explanation: jamal

How many quarts of pute antifreeze must be added to 3 quarts of a 20% antifreeze solution to obtain a 40% antifreeze solution

Answers

Answer: 0.6

Explanation: I am going to break them into steps, so that you can understand them more clearly.

Step 1: Find how much the amount of water is needed:

0.4(3 quarts + x quarts) = (0.6 quarts + x)

Step 2: Find how much the quarts is divided by 0.6:

1.2 + 0.4x = 0.6 + x

Step 3: each quart is equal to 1 therefore:

x = 1 quart - which is 0.6

Message: If this was helpful, let me know by giving me a thanks! :)

Y = -1/4x + 7 solve for slope

Answers

Answer:

-1/4

Step-by-step explanation:

y=mx+b

m-slope

b-  y-intercept

here, m = -1/4. Slope =-1/4

The four members of a singing quartet are buying new outfits. The shirts are $21, the pants are $26, the hats are $6 and the canes
are $13. What is the total cost of the new outfits for all the members?
O $264
O $284
O $244
O $224

Answers

The total cost of the new outfits for all the members is $264. So, the correct answer is option A.

What is total?

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Given that, the shirts are $21, the pants are $26, the hats are $6 and the canes are $13.

Here, the cost of outfits for a person is

(21+26+6+13)=66

The cost of outfits for the four members is

66×4=$264

Therefore, option A is the correct answer.

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Please help I DONT understand!!

Answers

Equal or less than 7.

Answer:7 meter

Step-by-step explanation:8 meter and 5meter are both sides and perimeter is all side added together so 8+5 is 13 meter and u must have 20 so take the 13 m and subtract it 20m-13m=7m

and there you get answer

Graph line with slope -5 and y-intercept 6

Answers

Answer:

y=-5x+6

Step-by-step explanation:

y=mx+b

y=-5x+6

What is 2+2?
A. 4
B. 2
C. 1
D. 0

Answers

Answer:

A. 4

Step-by-step explanation:

2+2=4

Adding

A. 4 because adding 2 fingers to another 2 fingers make 4 fingers.

A pilot study of electro-mechanical protection devices used in electrical power systems showed that of 193 devices that failed when tested, 75 failed due to mechanical parts failures. (a) How large a sample is required to estimate the population proportion to within an error of 0.03 with 95% confidence? (b) what would your answer be if no information from a pilot study are available?

Answers

(a) A sample size of 784.44 is required to estimate the population proportion to within an error of 0.03 with 95% confidence.

(b) A sample size of 393.22 would be required if no information from a pilot study is available.

What is a sample size?

Sample size refers to the number of observations or measurements that are taken from a larger population as part of a statistical study. In statistical analysis, a sample is a subset of the population being studied, and the sample size is the number of observations or units of analysis included in the sample.

To answer this question, we need to use the formula for the sample size of a proportion:

[tex]n = \frac{Z^2 * p * (1 - p))}{e^2}[/tex]

Where n is the sample size, Z is the z-score corresponding to the desired confidence level (in this case, Z = 1.96 for a 95% confidence level), p is the estimated population proportion (in this case, p = 0.75 based on the information provided in the question), and e is the desired margin of error (in this case, e = 0.03).

Plugging these values into the formula, we get:

[tex]n = \frac{(1.96^2 * 0.75 * 0.25)}{0.03^2} \\\\n= 784.44[/tex]

If no information from a pilot study is available, we would need to use a default value for p (such as p = 0.5) in the formula. In this case, we would get:

[tex]n = \frac{(1.96^2 * 0.5 * 0.5)}{0.03^2}\\\\n= 393.22[/tex]

Hence,

(a) A sample size of 784.44 is required to estimate the population proportion to within an error of 0.03 with 95% confidence.

(b) A sample size of 393.22 would be required if no information from a pilot study is available.

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a pineapple which was bought for $1.00 was sold at $1.30. calculate the profit percent

Answers

Answer: 30%

Step-by-step explanation:

First, calculate the difference between the original number and the new number:

1.30 - 1.00 = 0.30

Second, divide the difference by the original number.

0.30/1.00 = 0.3

Third, multiply the answer by 100 to get the percentage. (Remember cent means 100!)

0.3 * 100 = 30

Therefore, the profit per cent was 30%.

Hoped this helped!

question 1: Find the percent of change to the nearest tenth of a percent for Centerville
question 2: Which town had the greatest percent of change
question 3: What was the percent of change? (From your answer in Part B) Do Not Include 'Increase' or 'Decrease.' Round to the nearest whole percent.

Answers

The Population Changes table indicate the following percent of change of the three towns

Question 1: The percent of change for Centerville is about 29.6%

Question 2: The town with the greatest percent of change is Riverview

Question 3: The percent of change for Riverview is about 51%

What is a percent of change?

A percent of change is the change in the value of a parameter, expressed as a percentage.

Question 1: The population Centerville in 2000 = 37,065

The population of Centerville in 2010 = 26,102

The percentage change can be found using the formula;

[tex]Percentage \ change=\dfrac{New \ value - Initial \ value}{Initial\ value} \times 100[/tex]

The percentage change for Centerville is therefore;

[tex]Percentage \ change=\dfrac{Population \ in \ 2010-Polulation \ in \ 2000}{Population \ in \ 2000} \times 100[/tex]

From which we get;

[tex]Percentage \ change \ for \ Centerville=\dfrac{26102-37065}{37065} \times 100 \approx -29.6\%[/tex]

The percentage of change for Centerville is a reduction in the population by about 29.6%

Question 2:

The percent of change for the town of Lakeside is found as follows;

Percentage change = ((45,863 - 51,342)/(51,342)) × 100 ≈ -10.7%

The percent of change of the population of Riverview is found using the percentage change formula as follows;

Percentage change = ((63017 - 41726)/(41726)) × 100 = 51%

Therefore, the town that had the greatest percent of change is is Riverview

Question 3: The percent of change for Riverview is about 51%

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Find the opposite of 4p3+9p−2 .

Answers

The opposite of the given polynomial 4p³ + 9p - 2 is; -4p³ - 9p + 2

What is the opposite of the number?

The opposite of a number is basically its additive inverse. This means the sum of a number and its opposite is zero. We refer to this as the property of opposites.

Thus, we can say that the opposite of −888 is 888 ; the opposite of 25 is −25 ; the opposite of 4 is −4 .

Now, we want to find the opposite of the polynomial given as;

4p³ + 9p - 2

Applying the concept of opposite numbers gives us;

-4p³ - 9p + 2

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Wanda drove for w hours on a trip. Wanda's husband
drove 3 hours more than she did. Which expression
represents the total time they spent driving?
A. w+6
B. 2w+3
C. w-6
D. 2w -3

Answers

By using the concept of addition, it can be calculated that-

The total time they spent driving = 2w + 3

Option b is correct

What is addition?

Suppose there are many numbers, and we need to find the sum total of all those integers, then the operation used in this case is called addition

This is a word problem on addition

Wanda drove for w hours on a trip.

Wanda's husband drove 3 hours more than she did.

Time for which Wanda's husband drove = w + 3

The total time they spent driving = w + w + 3

                                                       = 2w + 3

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Consider the Matrices

Answers

The dimensions of the product matrix are:

BD = 2 x 1

DA = 1 x 2

DC = 2 x 3

What is a matrix?

A matrix is a form of writing items in rows and columns.

The dimensions of the matrix are written as m x n.

Where m is the number of rows and n is the number of columns.

We have,

The matrix A has dimensions 3 x 2.

The matrix B has dimensions 2 x 2.

The matrix C has dimensions 1 x 3.

The matrix D has dimensions 2 x 1.

The dimensions of the product of two matrices is given as,

A = p x q

B = q x r

AB = p x r

Thus,

The dimensions of the product matrix of BD.

= 2 x 1

The dimensions of the product matrix of CA.

= 1 x 2

The dimensions of the product matrix of DC.

= 2 x 3

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I need help desperately

Answers

Answer:

0.5

Step-by-step explanation:

Find g(x), where g(x) is the translation 4 units left of f(x)=3x–10.
Write your answer in the form mx+b, where m and b are integers.

Answers

The function f(x) after translation by 4 units left is g(x) = y = 3x + 2.

What is an expression? What is a expression? What is a mathematical equation? A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the function as -

f(x) = 3x - 10.

We have the function -

y = 3x - 10

We can write the function f(x) after translation by 4 units left as -

y = 3(x + 4) - 10

y = 3x + 12 - 10

y = 3x + 2

Therefore, the function g(x) can be written as y = 3x + 2

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Challenge An airplane is preparing to land at an airport it is 42,000 feet above the ground and is descending at the rate of 3,500 feet per minute. At the same airport, another airplane is taking
off and will ascend at the rate of 2,500 feet per minute When will the two airplanes be at the same astude and what will that altitude be? Use pencil and paper. Use two other methods to solve
the problem.

Answers

Answer:

To solve this problem, we first need to find out how much time it will take for the airplane that is descending to reach the same altitude as the airplane that is ascending. To do this, we can use the formula d = r * t, where d is the distance, r is the rate, and t is the time.

In this case, the distance is the difference between the starting altitudes of the two airplanes, which is 42,000 feet for the descending airplane and 0 feet for the ascending airplane. The rate is the rate at which the descending airplane is descending, which is 3,500 feet per minute. Plugging these values into the formula, we get:

d = r * t

d = (3,500 feet/minute) * t

d = 42,000 feet

Solving for t, we get:

t = d / r

t = (42,000 feet) / (3,500 feet/minute)

t = 12 minutes

So it will take 12 minutes for the descending airplane to reach the same altitude as the ascending airplane.

To find the altitude at which the two airplanes will be at the same altitude, we can use the formula d = r * t, where d is the distance, r is the rate, and t is the time. In this case, the distance is the altitude at which the two airplanes will be at the same altitude, the rate is the rate at which the ascending airplane is ascending, which is 2,500 feet per minute, and the time is the time it will take for the descending airplane to reach the same altitude as the ascending airplane, which we calculated to be 12 minutes.

Plugging these values into the formula, we get:

d = r * t

d = (2,500 feet/minute) * (12 minutes)

d = 30,000 feet

Therefore, the altitude at which the two airplanes will be at the same altitude is 30,000 feet.

There are several other ways we could have solved this problem. For example, we could have used the formula d = r * t to find the altitude of the ascending airplane at the same time that the descending airplane reaches the same altitude, and then subtracted the starting altitude of the ascending airplane (0 feet) from this value to find the altitude at which the two airplanes will be at the same altitude.

Another way to solve this problem is to use the formula d = (v1 + v2) * t / 2, where d is the distance, v1 and v2 are the rates at which the two airplanes are moving, and t is the time. In this case, we can set d equal to the difference between the starting altitudes of the two airplanes, v1 equal to the rate at which the descending airplane is descending, v2 equal to the rate at which the ascending airplane is ascending, and t equal to the time it will take for the descending airplane to reach the same altitude as the ascending airplane.

Plugging these values into the formula, we get:

d = (v1 + v2) * t / 2

d = (3,500 feet/minute + 2,500 feet/minute) * (12 minutes) / 2

d = (6,000 feet/minute) * (12 minutes) / 2

d = (72,000 feet) / 2

d = 36,000 feet

Therefore, the altitude at which the two airplanes will be at the same altitude is 36,000 feet.

We can also solve this problem using a table to track the altitude of the two airplanes over time. We can start by making a table with

Alan opened a $10,000 line of revolving credit at the bank. How
much can he borrow if he has already borrowed $2,000 and paid
back $500 of that amount?

Answers

The amount that Alan can be able to borrow for credit balance is $8,500.

What is credit balance?

The capacity to access products or services or borrow money with the idea that you'll pay for them later is known as credit. An amount that the card issuer owes you can be seen as a credit balance on your billing statement. With each payment you make, credits are added to your account. When you return something you purchased with a credit card, a credit might be added.

Given, total limit =  $10,000

Borrowed amount = $2,000

paid back = $500

So, remaining amount that he can borrow = $10,000 - $2,000 + $500

                                                                      = $8,500

Hence, he can be able to borrow $8,500.

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Write the Roman Numeral CXXXIV in standard???

Answers

Answer:

Step-by-step explanation: C is 100 X is 10 IV is 4 since the smaller number is in the front so you subtract instead of add

C=100 3X=30 IV=4

100+30+4=134

CXXXIV=134

find the slope of the line passing through the points (7, -1 ) and ( 3, -6)

Answers

Answer:

1

Step-by-step explanation:

m = y2-y1 / x2-x1

m = -6+1 / 3-7

m = -5/-5

m = 1

Answer:

Slope = -5/4

Step-by-step explanation:

Use the remainder theorem to find P(1) for P(x)=-x⁴+3 x³+4 x²-9.
Specifically, give the quotient and the remainder for the associated division and the value of P(1).
Quotient =
Remainder =
P(1)=

Answers

By using remainder theorem , value of P(1) = (-1)

P(1) = 1 + 3 + 4 - 9

P(1) = (-1)

Remainder Theorem is an approach of Euclidean division of polynomials. According to this theorem, if we divide a polynomial P(x) by a factor ( x – a); that isn’t essentially an element of the polynomial; you will find a smaller polynomial along with a remainder. This remainder that has been obtained is actually a value of P(x) at x = a, specifically P(a)

For finding the value of P(1) we have to put the value of 1 on the place of x, then we can get  P(1) = (-1)

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Can you please help mee pls

Answers

Answer: D

Step-by-step explanation: I had this same question before

How do you solve these problems?

Answers

Answer: Just look at how far each point is from the x=-3 line and then count to the left of the line how far away it is on the same y-cord and that is the point.

so poin U is 2 away from the x=-3 line so stay at the y line of 4 and then count to the left of the line x=-3 two and you get the point at (-5,4)

Step-by-step explanation:

Given the conditional statement ~p q, which statement is logically equivalent? p ~q. ~p ~q. ~q ~p. ~q p.​

Answers

Answer: contrapositive ⌝Q→⌝P.

θ is an acute angle. Find the value of θ in degrees.
sec(θ)=2

Answers

The value of θ is 60° and the the value of the equation sec 60° = 2

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the angle be represented as θ

Now , given that the angle θ is acute

Acute angles measure less than 90 degrees

So , the value of θ < 90°

when the value of sec θ = 2

cos θ = 1/sec θ

So , cos θ = 1/2

The value of θ when cos θ is 1/2 is when the angle θ is 60°

Therefore , the value of θ is 60° and sec 60° = 2

Hence , The value of θ is 60° and the the value of the equation sec 60° = 2

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Find the vertex of x^2-4x+3=0.
Is the vertex a minimum or maximum. Explain.
You must show all work to receive full credit.

Answers

I asked you if you typed it correctly, and you said that it was typed correctly.

x^2 - 4x + 3 = 0

This is not the equation of a graph, it is vertical lines with infinite slope.

But, if it were a regular function

x^2 - 4x + 3 = y

a        b      c

To find the vertex, use the vertex formula

-b/2a

-(-4)/2(1)=4/2 = 2.  

The vertex is at x = 2

4-8+3=y

y = -1

Coordinates of vertex is (2,-1)

It is a minimum because the coefficient a is a positive number

Hope this helps :)

-Jeron

Please help! No work needed!!!!

Answers

The limit intercepted by the given function, f'(8) is [tex]\lim_{n \to \8} \frac{\sqrt[3]{(x-8)} -8 }{x-8}[/tex]

What is limit?

A limit is a value toward which an expression converges as one or more variables approach certain values, a limit tells us the value of a function when its input closes to a certain value. Limits are used to define continuity, derivatives, and integrals. The limit of a product is equal to the product of the limits. The limit of a quotient is equal to the quotient of the limits. The limit of a constant function is equal to the constant.

Given that a function, f(x) = ∛x

The formula for applying the limit is :-

The first derivative is given by,

f'(x) = limx->c (f(x) - f(c))/(x-c)

Applying limit, we get,

f'(x) = [tex]\lim_{n \to \8} \frac{\sqrt[3]{(x-8)} -8 }{x-8}[/tex]

Hence, The limit intercepted by f'(8) is [tex]\lim_{n \to \8} \frac{\sqrt[3]{(x-8)} -8 }{x-8}[/tex]

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Choose true or false.

There is more than one way to find a job.

True
False

Answers

Answer:

true

Step-by-step explanation:

Answer:

true.

Step-by-step explanation:

Other Questions
Which word in the passage supports kings purpose of making listeners believe they deserve equality?Check all that apply.A.architectsB.magnificentC.heirD.promiseE. guaranteedF. concerned Correct - C.D.E. Number 15 is the question The red strip will be cut into pieces that are 1/2 foot long. How many pieces will there be? Read the following excerpt from John F. Kennedy's "Address at Rice University on the Nation's Space Effort" Then, respond to the question that follows.If this capsule history of our progress teaches us anything, it is that man, in his quest for knowledge and progress, is determined and cannot be deterred. The exploration of space will go ahead, whether we join in it or not, and it is one of the great adventures of all time, and no nation which expects to be the leader of other nations can expect to stay behind in the race for space.Those who came before us made certain that this country rode the first waves of the industrial revolutions, the first waves of modern invention, and the first wave of nuclear power, and this generation does not intend to founder in the backwash of the coming age of space. We mean to be a part of itwe mean to lead it. For the eyes of the world now look into space, to the moon and to the planets beyond, and we have vowed that we shall not see it governed by a hostile flag of conquest, but by a banner of freedom and peace. We have vowed that we shall not see space filled with weapons of mass destruction, but with instruments of knowledge and understanding.Yet the vows of this Nation can only be fulfilled if we in this Nation are first, and, therefore, we intend to be first. In short, our leadership in science and in industry, our hopes for peace and security, our obligations to ourselves as well as others, all require us to make this effort, to solve these mysteries, to solve them for the good of all men, and to become the world's leading space-faring nation.We set sail on this new sea because there is new knowledge to be gained, and new rights to be won, and they must be won and used for the progress of all people. For space science, like nuclear science and all technology, has no conscience of its own. Whether it will become a force for good or ill depends on man, and only if the United States occupies a position of pre-eminence can we help decide whether this new ocean will be a sea of peace or a new terrifying theater of war. I do not say the we should or will go unprotected against the hostile misuse of space any more than we go unprotected against the hostile use of land or sea, but I do say that space can be explored and mastered without feeding the fires of war, without repeating the mistakes that man has made in extending his writ around this globe of ours.There is no strife, no prejudice, no national conflict in outer space as yet. Its hazards are hostile to us all. Its conquest deserves the best of all mankind, and its opportunity for peaceful cooperation may never come again. But why, some say, the moon? Why choose this as our goal? And they may well ask why climb the highest mountain? Why, 35 years ago, fly the Atlantic? Why does Rice play Texas?We choose to go to the moon. We choose to go to the moon in this decade and do the other things, not because they are easy, but because they are hard, because that goal will serve to organize and measure the best of our energies and skills, because that challenge is one that we are willing to accept, one we are unwilling to postpone, and one which we intend to win, and the others, too To be sure, we are behind, and will be behind for some time in manned flight. But we do not intend to stay behind, and in this decade, we shall make up and move ahead.The growth of our science and education will be enriched by new knowledge of our universe and environment, by new techniques of learning and mapping and observation, by new tools and computers for industry, medicine, the home as well as the school. Technical institutions, such as Rice, will reap the harvest of these gains.And finally, the space effort itself, while still in its infancy, has already created a great number of new companies, and tens of thousands of new jobs. Space and related industries are generating new demands in investment and skilled personnel, and this city and this State, and this region, will share greatly in this growth. What was once the furthest outpost on the old frontier of the West will be the furthest outpost on the new frontier of science and space. Houston, your City of Houston, with its Manned Spacecraft Center, will become the heart of a large scientific and engineering community John F. Kennedy's "Address at Rice University on the Nation's Space Effort?" contains numerous examples of figurative language. Examine the speech, paying close attention to the figurative language devices used.In a well-written paragraph of 57 sentences:select two figurative language devices from President Kennedy's speechidentify each deviceexplain how the use of the figurative language contributed to the overall message and purpose of the speechPLEASE PUT THIS IN EXPLANATION Do you think cheer dancing can increase motivation and performance of the athletes during the sports competition? Find the inequality represented by the graph. Why does the author include the point that there are 7 million square feet of green roofs planted across the city of Chicago? what happen on 13 April in India A rectangular prism has a volume of 960 cubic units. The area of the base is 80 square units.What is the height of the prism? What is the non fiction meaning? You are selling hats and mittens at a craft fair. You hope to have $240 in sales. Hats cost $10 and mittens cost $6. a) write an equation in standard form. b) Graph the equation using x- and y- incercepts. (Show your work) what are the complementary colors? according to the belt of stability radionuclides having high neutron-to-proton ratios will likely decay in what manner? Create a marketing plan for your own product. Include your mission statement, product details, target market, pricing, budget, and marketing strategies. 22) by producing less, a firm can reduce: group of answer choices a) its variable costs but not its fixed costs b) its fixed costs and its variable costs c) its fixed costs but not its variable costs d) neither its variable costs nor its fixed costs purchasing activities include a. choosing suppliers. b. negotiating contracts. c. managing buyer-supplier relationships. d. all of these choices are correct. why do you think people spend so much money on their wants despite the financial costs? What is the purpose of irony in Act 3 of the crucible? Why did the European colonies assist their colonial parent country in the war? ovement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.Solve for k, the constant of variation, in an inverse variation problem, where x = 3.3 and y = 24.Ok = 79.2Ok = .14Ok=7.3Ok = 20.7SubmitPass