Please help me solve this problem, thank you.

Please Help Me Solve This Problem, Thank You.

Answers

Answer 1

Step-by-step explanation:

first you need to find the 17 and 8 triangles missing sides length so we do a squared plus b squared equals c square and since we have c which is 17 we subtract 8 squared or 64 from 17 square and we get 225. next the missing line from the next one is done the same way 225 minus 9 squared or 81 and we get 144 and the square root of that is 12 we do 12 squared 144 minus 6 squared because we already know that the side is six because it gives it to us and we get 10.392


Related Questions

Ted wanted to determine if one brand of paper towels​ (Brand A) was stronger than another brand​ (Brand B). He performed a study where he randomly selected 25 sheets from each of the two​ brands, placed each sheet in an embroidery hoop​ (and tightened the​ hoop), placed 30 drops of water on each paper​ towel, and placed weights on each sheet until the sheet broke. He recorded the maximum weight on the paper towel before it broke. Which of the following statements is​ correct?
A) A​ two-tail test will be performed since the alternative hypothesis contains a​ "less than"
B) A​ one-tail test will be performed since the alternative hypothesis contains a​ "not equal​ to".
C) A​ one-tail test will be performed since the alternative hypothesis contains a​ "less than".
D) A​ two-tail test will be performed since the null hypothesis contains a​ "not equal​ to"
E) A​ two-tail test will be performed since the alternative hypothesis contains a​ "not equal​ to".

Answers

Answer:

C) A​ one-tail test will be performed since the alternative hypothesis contains a​ "less than".

Step-by-step explanation:

Test may be categorized as being one tailed or two tailed depending on the inequality sign used when defining the hypothesis ` ; Hypothesis whereby the alternative hypothesis takes a not equal to (≠) are categorized as two talked as the direction of does not point to either the left or right. Conversely, alternative hypothesis which takes a less Than sign or takes a greater Than sign are classed as being one tailed as the they point to a specified direction..

For the scenario given : we are to test the claim that one is stronger than the other ;

For this knid if test it has been stated explicitly that one is greater than another ;

H0 : μ = μ

H0 : μ < μ

40 percent of the teachers at a meeting are male.
Of the male teachers at the meeting, 20 percent
teach mathematics. Which of the following
could be the possible number of teachers at the
meeting?
(A) 60
(B) 64
(C) 72
(D) 75
(E) 80

Answers

Answer:

D. 75

Step-by-step explanation:

To find the possible number of teachers at the meeting, find which answer choice creates a whole number answer when calculating the 40% of teachers that are male and the 20% of them that teach math.

This number is answer choice D, 75.

40% of 75 is 30.

Of those 30 teachers, 20% of 30 is 6.

So, since each quantity is a whole number, this could be the possible number of teachers at the meeting.

The correct answer is D. 75

Identify the decimals labeled with the letters A B and a C

Answers

Answer:

A = 0.46, B = 0.61 and C = 0.46

Step-by-step explanation:

From the number line given, we can see that the distance between 0.5 and the next value is by 0.01, hence to get B, we will add 0.01 to the value of 0.6 as shown;

B = 0.6 + 0.01

B = 0.61

To get A, we will add 0.03 to 0.5 as shown:

A = 0.5 + 0.03

A = 0.53

To get the value of C, we will subtract 0.04 from  0.5

as shown:

C = 0.5 - 0.04

C =0.46

Hence A = 0.46, B = 0.61 and C = 0.46

the ratio of sadia's age to her father's age is 3:6. The sum of their age is 96 .What is sadia's age​

Answers

We have,

[tex]a:b=3:6,a+b=96[/tex]

Introduce variable [tex]x[/tex] such that [tex]a=3x,b=6x[/tex]

The sum [tex]a+b=96[/tex] is therefore [tex]9x=96\implies x=10.\overline{6}[/tex]

So,

[tex]a=3\cdot10.\overline{6}=\boxed{32}[/tex] (sadia's age)

[tex]b=6\cdot10.\overline{6}=\boxed{64}[/tex] (father's age)

Hope this helps :)

Hello my ''brainiest intelligent minds'' once again I'm counting on you, lol, I'm trying to figure this out.
f(x)=2x+3
g(x)=3x+2
What does (f+g)(x) equal?

Answers

Answer:

(f + g)(x) = 5x + 5

General Formulas and Concepts:

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x + 3

g(x) = 3x + 2

Step 2: Find

Substitute in function values:                                                                              (f + g)(x) = 2x + 3 + 3x + 2Combine like terms:                                                                                         (f + g)(x) = 5x + 5

Given HM=24 and mHKˆ=66∘, find x and y.

Answers

= 66 B) x = 90, y = 66 ... - Brainly.com
Jul 27, 2017 · 2 answers
Answer: C) x=90°, y=24°. Step-by-step explanation: The two sections into which A is split, are the same size as indicated.

The value of x and y is C) x=90°, y=24°.

What are trigonometry ratios?

Trigonometric ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

various ratios are:-

sin=perpendicular/hypoteneusecos=base/hypotenusetan=perpendicular/base   (tan30°)=5/bcot=base/perpendicularsec=hypotenuse/basecosec= hypotenuse/perpendicular

The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric.

Learn more about trigonometry here:-https://brainly.com/question/24349828

#SPJ2

What is the inverse of the function ? f(x)=x+1 over x?
plato

Answers

Answer:

[tex]f { - 1}^{} = \frac{1 - x}{x - 1} [/tex]

Step-by-step explanation:

bxhrrrhi5u44ftj7gttjoy

Answer:

x = (y+1)/y

xy = (y+1)

xy -y = 1

y(x-1)=1

y = 1/(x-1)

Step-by-step explanation:

What is the common ratio for this geometric sequence?
27, 9, 3, 1, ...

Answers

Answer:

a multiple of 3.

Step-by-step explanation:

1x3=3

3x3=9

9x3=27

The National Oceanic and Atmospheric Administration tracks the amount of oysters harvested from the Chesapeake Bay each year:

Find the exponential regression equation that models this data.

Answers

The EXPONENTIAL REGRESSION equation obtained by fitting the data is [tex]y = 58.031(0.964)^x[/tex]

To obtain the exponential regression equation which models the data, we could use technology, we involves Inputting the data into an EXPONENTIAL REGRESSION CALCULATOR or EXCEL

Using an exponential regression calculator :

The regression equation obtained is :

[tex]y = 58.031(0.964)^x[/tex]

The general function of an exponential regression function is : [tex]AB^x[/tex]

A = 58.031 = Initial value ; B = Decay factor

Hence, the EXPONENTIAL REGRESSION EQUATION obtained using technology is : [tex]y = 58.031(0.964)^x[/tex]

Learn more :

https://brainly.com/question/11169800

The Susan B. Anthony dollar has a radius of 0.52 inches. Find the area of one side of the coin to the nearest
hundredth.

Answers

the area is 1.70 inches

Answer:

0.85 in²

Step-by-step explanation:

really ? you need help with that ? you could not find the formula for the area of a circle on the internet and type it into your calculator ? I can't do anything else here.

a circle area is

A = pi×r²

r being the radius.

and pi being, well, pi (3.1415....)

r = 0.52 in

so,

A = pi×0.52² = pi×0.2704 = 0.849486654... in²

the area of one side of the coin is 0.85 in²

The table below shows the educational attainment of a country's population, aged 25 and over. Use the data in the table, expressed in millions to find the probability that a randomly selected citizenaged 25 or over , was a man with 4 years of college (or more)

Answers

Answer:

The answer is "[tex]\bold{\frac{22}{171}}[/tex]"

Step-by-step explanation:

There are 22 million males that have completed four years of undergraduate, according to the data below: (or more). This is predicated on a population of 171 million.

The chances we're searching about [tex]\frac{(22\ million)}{(171\ million)} = \frac{22}{171}[/tex]

however

This proportion could be further reduced because 22 and 171 have no common features (other than 1).

Convert 2933 in base 10 to base 2

Answers

Answer:

1011011101012

Step-by-step explanation:

Converting 2933 to base 10.

2*103=2000

9*102=900

3*101=30

3*100=3

Adding all to get Ans=293310

Step2 converting 293310 to 2

The equation calculation formula for 293310 number to 2 is like this below.

2|2933

2|1466|1

2|733|0

2|366|1

2|183|0

2|91|1

2|45|1

2|22|1

2|11|0

2|5|1

2|2|1

2|1|0

2|1|1

Ans:1011011101012

6. 5x = -25
a. X= 5
b. X=-5
c. x=2

Answers

Answer:

x = -5

Step-by-step explanation:

5x = -25

Divide each side by 5

5x/5 = -25/5

x = -5

Answer:

[tex]Option\ B,\ x = -5[/tex]

Step-by-step explanation:

Step 1:  Divide both sides by 5

[tex]5x = -25[/tex]

[tex]5x / 5 = -25 / 5[/tex]

[tex]x = -25/5[/tex]

[tex]x = -5[/tex]

Answer:  [tex]Option\ B,\ x = -5[/tex]

(1+y²)dx + (1+x²)dy = 0

Answers

This differential equation is separable:

(1 + y²) dx + (1 + x²) dy = 0

(1 + y²) dx = - (1 + x²) dy

dy/(1 + y²) = -dx/(1 + x²)

Integrating both sides gives

arctan(y) = -arctan(x) + C

and solving for y gives (over an appropriate domain)

y = tan(C - arctan(x))

(the domain being -1 ≤ y ≤ 1).

25 scores from all of the students who took the test. She sees that the mean score is 134 with a standard deviation of 6.0547. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 13. Is there evidence that the standard deviation of test scores has decreas

Answers

Answer:

WE fail to reject the Null and conclude that ; Standard deviation of test hasn't decreased.

Step-by-step explanation:

The hypothesis :

H0 : σ = 13

H1 : σ < 13

Using the Chisquare Square statistic :

χ² = (n-1)*s²/σ²

Sample size, n = 25

s² = 6.0547²

σ² = 13²

χ² = (25 - 1)*6.0547² / 13²

χ² = 879.82541016 / 169

χ² = 5.206

The degree of freedom, df = 25 - 1 = 24

The Pvalue(5.206, 24) = 0.99981

Reject H0, if Pvalue < α ;

Since Pvalue > α ; WE fail to reject the Null and conclude that ; Standard deviation of test hasn't decreased.

find the value of the trigonometric ratio​

Answers

Answer: 12/13

Explanation:

The sin of any angle in a right triangle is its opposing side/hypotenuse

12 is opposing angle X, 13 is the hypotenuse.

12/13

Hope this helps, brainliest would be appreciated :)
sin x =opposite /hypotenusesin x=12/13

Suppose that a group of 10 people join a weight loss program for 3 months. Each person's weight is recorded at the beginning and at the end of the 3-month program. To test whether the weight loss program is effective, the data should be treated as:

Answers

To test the effectiveness of the weight loss program, a PAIRED SAMPLE test distribution is used.

The weight loss data collated for the program for both the beginning and end of the program period was obtained with one subject or person having two separate readings, these shows that the samples are NOT INDEPENDENT.

When performing a test which involves DEPENDENT or MATCHED samples, whereby means of two measurements taken from the SAME subject are involved, a PAIRED SAMPLE TEST DISTRIBUTION IS ADOPTED.

Therefore, the effectiveness of the weight loss programme will be accurately evaluated using a PAIRED SAMPLE TEST.

Learn more : https://brainly.com/question/17143411

Exhibit 10-7 In order to estimate the difference between the average hourly wages of employees of two branches of a department store, two independent random samples were selected and the following statistics were calculated. Downtown Store North Mall Store Sample size 25 20 Sample mean $9 $8 Sample standard deviation $2 $1 Refer to Exhibit 10-7. A 95% interval estimate for the difference between the two population means is _____. Selected Answer: b. .071 to 1.928

Answers

Answer:

[tex]E(x)=1[/tex]

Step-by-step explanation:

From the question we are told that:

Sample mean 1 [tex]\=x_1=$9[/tex]

Sample mean 1 [tex]\=x_2=$8[/tex]

Sample standard deviation 1 [tex]\sigma_1 = $2[/tex]

Sample standard deviation 1 [tex]\sigma_2 = $1[/tex]

Generally the equation for Point estimate is mathematically given by

[tex]E(x)=\=x_1-\=x_2[/tex]

[tex]E(x)=9-8[/tex]

[tex]E(x)=1[/tex]

What is a8 for the geometric sequence 6,561;−2,187;729;−243;….

Answers

Answer:

In geometric sequence you divide the terms. As I will show you the calculations step by step. Hopefully this becomes clear and helpful to you

Step-by-step explanation:

-2187÷6561

= -0.3333...

a8=a1 r^8-1

=(4374)(-0.3)^8-1

=(4374)(-0.3)^7

=(4374)(-4.572473708×10^-4)

=-2

Therefore a8= -2

Easy dividend dont equal 7+10

Find f such that f'(x) = 8x – 3. f(4) = 0​

Answers

Answer: y=29 / (4,29)

Step-by-step explanation:

By graphing [tex]f(x)=8x-3[/tex] and [tex]f(4)=0[/tex] on Desmos. You'll be able to find that when x is 4, y is 29.

Similarly, you can plugin 4 into the original equation ([tex]f(x)=8x-3[/tex]) Which looks like:

[tex]8(4)-3\\32-3=29[/tex]

Additionally, you can change [tex]f(x)=[/tex] to [tex]y=[/tex] as it is the exact same thing. With that in mind, you can do the same with [tex]f(x)=0[/tex] and just change it to x=4. As you're wanting to know what the y-value is when x=4.

Answer:

4x²-3x+c is our original equation

Step-by-step explanation:

we have an independent number I called this number c

put 4 from x and try to find c

f(4)=4*(4²)-3*(4)+c=0

we have to be careful about f(4) is 0

64-12+c=0 and c is -52 so our original equation is 4x²-3x-52

What is the volume of the pyramid if the
base area is 25 square feet and the
height is 16 feet?

Answers

Answer:

133.3

Step-by-step explanation:

Volume of pyramid: 1/3 Base Area×height

Volume=

[tex] \frac{25 \times 16}{3} [/tex]

133.333 Sq. feet

Brainliest please~

find area and perimeter of shaded area and the perimeter is not 96

Answers

Answer:

picture not clear what is the length

how do i convert 134five to base ten

Answers

Answer:

44

Step-by-step explanation:

1×5² + 3×5¹ +4×5⁰

25+15+4

44

Determine whether each of the following is a proposition. If so, write its negation. You may use symbols to help organize your thinking, but each negation should be given in plain English. a. All dogs go to heaven. b. Do you have a Nintendo Switch or a PlayStation 5

Answers

Answer:

a). Not a proposition

b). Proposition

Step-by-step explanation:

A statement or a proposition is defined as a statement which is known to be true or it is known to be false. But a proposition cannot be both false and true.

If the sentence is not known to be true or false then the sentence is not considered to be a proposition or a statement.

a). All dogs go to heaven.

We do not have any idea that whether all dogs go to heaven or not. Since we do not know whether the sentence is true or false, hence it is not a proposition or a statement.

b). Do you have a Nintendo Switch or a PlayStation 5

In this sentence, I can have either a Nintendo Switch or a PlayStation 5. So the sentence can be either true or false. Since we know the sentence is can be either true or can be false, thus it is a proposition.

What is the greatest common factor of 10 and 13?
ANSWER IN LESS THEN 3 MINS AND I'LL GIVE BRAINLIEST

Answers

Answer:

the answer for this would be 1

what are the answers to the questions below?

Answers

Answer:

You have to follow PEMDAS or parenthesis, exponents, multiplication, division, addition, and subtraction. It's an order to solve equations. I listed the steps and the answers for you below :) I have throughly checked them so they should be correct! yw :D

Step-by-step explanation:

1. 5x + 4x - 6x = 24

9x - 6x = 24

3x = 24

24/3 = 8

x = 8

2. 8y + 5 - 4y + 1 = 46

8y - 4y = 4y

5 + 1 = 6

4y + 6 = 46

4y = 46 - 6

4y = 40

40/4 = 10

y = 10

3. 33 = 5 ( x + 8 ) + 3

33 =  5x + 40 + 3 (because we distributed)

33 = 5x + 43

5x + 43 = 33 (just rewriting it to make it easier)

5x = 33 - 43

5x = -10

-10/5 = -2

so x = - 2

4. 2m + 3 ( m - 8 ) = 1

2m + 3m - 24 = 1

we got 3m - 24 because we distributed the 3

5m - 24 = 1

5m = 25

25/5 = 5

m = 5

5. p + p - 2p + 4p = - 48

2p - 2p + 4p = - 48

4p = - 48

- 48 / 4 = - 12

p = - 12

6. 2 ( y + 5 ) + 3y = 25

2y + 10 + 3y = 25

5y + 10 = 25

5y = 25 - 10

5y = 15

15/5 = 3

y = 3

7. 1/4 h + 3/4 h + 1/2 h + 2 = 5

1/4 h + 3/4 h + 1/2 = 3/2 h

3/2 h + 2 = 5

3/2 h = 5 - 2

3/2 h = 3

h = 2

8. 60 = 4 ( k + 3 ) + 2 ( k - 3 )

60 = 4k + 12 + 2k - 6

4k + 12 + 2k - 6 = 60

6k + 6 = 60

6k = 60 - 6

6k = 54

k = 9

9. - 2 ( d + 1.4 ) - 1.8 = 20.6

-2d + - 2.8 - 1.8 = 20.6

-2d - 2.8 = 22.4

-2d = 25.2

d = - 12.6

10. 8 - 2 ( w + 4 ) = 10

8 + - 2 w + - 8 = 10

-2w + 9 + - 8 = 10

-2w = 10

10 / -2 = -5

w = -5

3x-x+4=5x-8 . respuesta de esa ecuciojn

Answers

Answer:

x=4

Step-by-step explanation:

Combine like terms

Subtract  4  from both sides of the equation

Simplify  

Subtract  5  from both sides of the equation

Simplify  

Divide both sides of the equation by the same term  

Simplify

Answer:

x=4

Step-by-step explanation:

Combine like terms:

2x+4=5x-8

2x+4-4=5x-8-4

Simplify:

2x=5x-12

2x-5x=5x-12-5x:

-3x=-12

Divide both sides by -3:

-3x/3=-12/-3

Answer:

x=4

Ian and Keith make extra money in the summer picking strawberries. Yesterday, they picked 384 pounds of strawberries altogether. Ian is more experienced and picked 3 times as many pounds as Keith. How many pounds of strawberries did Keith pick yesterday?

Answers

Keith Picked 96 strawberries

For the graph find a) b) c) and d)

Answers

Answer:

[tex]f(0) = -1[/tex]

[tex]f(\pi) = 1[/tex]

Domain: All real numbers

[tex]Range = [-1,1][/tex]

Step-by-step explanation:

Given

The attached graph

Solving (a): f(0)

On the attached graph

[tex]f(x) = -1[/tex] when [tex]x =0[/tex]

So:

[tex]f(0) = -1[/tex]

Solving (b): f(pi)

On the attached graph

[tex]f(x) = 1[/tex] when [tex]x =\pi[/tex]

So:

[tex]f(\pi) = 1[/tex]

Solving (c): Domain

There is no restriction on x.

Hence, the domain is the set of all real numbers

Solving (d): Range

In the attached graph

[tex]y_{min} = -1[/tex]

[tex]y_{max} = 1[/tex]

So, the range is:

[tex]Range = [-1,1][/tex]

A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. Make a 3 x 3 matrix showing the wire requirements. Assign the cable types to the rows and the wire types to the columns.
A) [2 1 2 1 2 1 2 1 3].
B) [3 3 2 1 2 1 2 1 1].
C) [3 1 2 3 2 1 2 1 2].
D) [2 1 3 1 2 1 2 1 2].

Answers

Answer:

The answer is (B) but with 2 as the last item in the matrix, instead of 1.

Step-by-step explanation:

The grand topic is MATRICES.

In Matrices, there are rules to follow when creating a matrix - which is a 'row by column' arrangement of objects or figures.

Rule 1: Identify your rows and columns.

What is a row? A row is a 'left to right' arrangement of items; also called a horizontal arrangement of items. What is a column? A column is an 'up to down' arrangement of items; also called a vertical arrangement of items.

Rule 2: Start your arrangement by rows.

Before reaching the instruction in the question, I already arranged the data for cables on the rows and the data for wire colors on the columns. You should follow this rule always; from the first information given in the question.

Rule 3: Nomenclature

This is the naming of a given matrix. In naming a matrix, consider the rows first before the columns. For example, a matrix with three rows and four columns with be called a 3 by 4 matrix and not a 4 by 3 matrix. In the case of this question, there is an equal number of rows and columns, so even if you counted the columns first, it wouldn't be noticed. Nevertheless, always count the rows first.

Having arranged the figures in a 3 by 3 matrix,

The full data on Cable A appears on the first row. The full data on Cable B appears on the second row. The full data on Cable C appears on the third row.

The full data on Black wires appears on the first column. The full data on White wires appears on the second column. The full data on Red wires appears on the third column.

So the answer is [tex]\left[\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right][/tex]

Kudos!

Other Questions
90139is theIn the following decay equation,90Sy 38et9039-1A. alpha particleB. parent elementC. daughter elementD. beta particle Does the table represent a function? Why or why not? Find the sum of the geometric series given a1=2, r=3, and n=8. A.the number of representatives new york decreased from 1972 to 2008.B.from 1972 to 2008 new york lost population while california and texas grew larger.C.the number of representatives from california and texas increased from 1972 to 2008.D.in 1972 california had the least number of representatives but in 2008 it had the most. First responding nurses would NOT use _____ as an indicator to identify victims of human trafficking.(1)- unwanted pregnancy(2)-childhood vaccination records(3)-trauma similar to domestic violence(4)-AIDS Please help!! The question is the image below VVVAnswers are also images after the picture. Logan has $1.95 in dimes and quarters in his pocket. He has 2 more dimes than quarters. (Keep in mind that dimes are worth 10c and quarters 25c.)1. Write an equation that will help you determine the number of quarters.2. Solve the equation showing all your steps.3. Tell how many quarters and dimes he has. Find the measure of the numbered angles.Angle 1 = Angle 2 =Angle 3 =Angle 4 =Angle 5 = Angle 6 =Angle 7 =Angle 8 = Welcome Inn Hotels is considering the construction of a new hotel for $90 million. The expected life of the hotel is 30 years, with no residual value. The hotel is expected to earn revenues of $26 million per year. Total expenses, including depreciation, are expected to be $15 million per year. Welcome Inn management has set a minimum acceptable rate of return of 14%.a. Determine the equal annual net cash flows from operating the hotel. b. Calculate the net present value of the new hotel. Use 7.003 for the present value of an annuity of $1 at 14% for 30 periods. c. Does your analysis support construction of the new hotel? The number seventeen and seven thousand in decimal form is Both authors would most likely agree with with statement? When preparing a production budget, the required production equals:________ a. budgeted sales beginning inventory desired ending inventory. b. budgeted sales - beginning inventory desired ending inventory. c. budgeted sales - beginning inventory - desired ending inventory. d. budgeted sales beginning inventory - desired ending inventory. Cost-volume-profit analysis includes all of the following assumptions except:_________. a. all units produced are sold. b. changes in activity are the only factors that affect costs. c. the behavior of costs is curvilinear throughout the relevant range. d. costs can be classified accurately as either variable or fixed. The area of the triangle shown is represented by A=s(s21)(s17)(s10), where s is equal to half the perimeter. What is the height h of the triangle? (x^2-4x)^2+(x-2)^2+10 surface area of cylinder what is the volume of the cylinder The primary reason that Warren G. Harding was willing to seize the initiative on the issue of international disarmament was that a he feared renewed war in Europe. b he recognized that Japan and the United States might enter a dangerous arms race. c businesspeople were unwilling to help pay for a larger United States Navy. d he did not want the League of Nations to take the lead on this problem. e American public opinion strongly supported peacemaking efforts. What is 8% of 1125? PLEASE HELP DUE! I WILL GIVE BRAINLISTWhat should Ontario's Minister of Education, Stephen Lecce, consider as he prepares to return to school for the 2021-22 school year? Keep in mind that these programmes may be completely face-to-face with existing health legislation, entirely online, or a combination of the two. What does he need to know about students' emotions?Share your insights from a student perspective in the form of a formal letter.The letter should have at least three main ideas and be approximately 250 words.