The table would continue this pattern up to 1,800 hours
The question involves creating a table that displays the effect of earned income on government support and total income for a single mother, named Susan. Given that Susan earns $8 per hour and loses $1 in government benefits for every $1 earned, we calculate the impact of different work hours on her total income. The table will illustrate the intersection of labor and welfare economics, showing the disincentive to work that some assistance programs might create due to the reduction in benefits as earned income rises.
To provide an example for Susan's situation: If she works 500 hours at $8 per hour, her earnings from work would be $4,000. With government benefits reducing dollar for dollar, Susan's new benefits would be $16,000 - $4,000, which equals $12,000. So, her total income would be her earnings ($4,000) plus the adjusted government benefits ($12,000), totaling $16,000. The table would continue this pattern up to 1,800 hours
HELP! HELP!
The table list the frozen treats sold at the high school football concession stand by the booster club. The items along with their prices and quantities sold (given by the variables a, b, and c) are shown in the table. The expression 1.75a + 2.25b + 2.75a + 2.25c + 1.75b + 1.25c represents what the booster club sold at the last football game.
Which expression is equivalent to the part of the expression that represents the sold quantities of b and c?
A) 4.00b + 3.50c
B) 7.50 + bc
C) 7.50bc
D) 7.50(b + c)
Answer:
The answer should be C. By combining like terms you can find the answer. 1.75a+2.75a = 4.5a
2.25b + 1.75b = 4b
2.25c + 1.25c = 3.5c
Step-by-step explanation:
Answer:
The answer is A). 4.00b + 3.50c
Step-by-step explanation:
2.25b + 1.75b = 4.00b
2.25c + 1.25c = 3.50c
Which of the following is the graph of the solution
of 3x+9≤30 ?
Answer:C
Step-by-step explanation:
The required solution to the inequality is the region before x ≤ 7.
Given that,
The solution to the inequality 3x + 9 ≤ 30, is to be determined.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here, the inequality,
3x + 9 ≤ 30
subtracting 9 from both sides,
3x ≤ 21
Divide by 3 on both sides,
x ≤ 7
The solution to the inequality is the region before x ≤ 7.
Thus, the required solution to the inequality is the region before x ≤ 7.
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Which inequality is true if p= 3.4?
A. 3p < 10.2
B. 13.6 < 3.9p
C. 5p > 17.1
D. 8.5 > 2.5p
The correct inequality is B. 13.6 < 3.9p.
Explanation:To determine which inequality is true if p = 3.4, we can substitute the value of p into each inequality and see which one is satisfied. Let's do this for each option:
A. 3p < 10.2:
Substituting p = 3.4, we get 3(3.4) = 10.2 < 10.2, which is not true.
B. 13.6 < 3.9p:
Substituting p = 3.4, we get 13.6 < 3.9(3.4) = 13.26, which is true.
C. 5p > 17.1:
Substituting p = 3.4, we get 5(3.4) = 17 < 17.1, which is not true.
D. 8.5 > 2.5p:
Substituting p = 3.4, we get 8.5 > 2.5(3.4) = 8.5 > 8.5, which is not true.
Therefore, the correct inequality is B. 13.6 < 3.9p.
5 less than 18 times the number x, is less than of equal to -45. write and inequality for this statement
Answer:
18x-5≤-45
Step-by-step explanation:
The statement '5 less than 18 times the number x is less than or equal to -45' translates to the inequality '18x - 5 ≤ -45'. This can be solved to yield 'x ≤ -20/9'.
Explanation:The phrase '5 less than 18 times the number x' can be written as an expression '18x - 5'. The complete inequality saying this is less than or equal to -45 can thus be written as '18x - 5 ≤ -45'.
To clarify, this means that if you were to multiply a number 'x' by 18, and then subtract 5, the resulting number should be less than or equal to -45.
This is a type of linear inequality and can be solved in a similar way to a linear equation. Subtracting 5 from both sides yields '18x ≤ -40', and then dividing by 18 gives the solution 'x ≤ -40/18' or 'x ≤ -20/9' in simplified form.
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High Flying Airlines charges $20 to check a piece of luggage up to 40 pounds. Each additional pound over 40
pounds costs $0.25. The maximum weight for a piece of checked luggage is 80 pounds. Write a function to
represent the situation.
To represent the situation, we can define a function called calculateLuggageCost that takes the weight of the luggage as an input and calculates the cost based on the given pricing structure. The function checks if the weight is less than or equal to 40 pounds and returns $20 in that case. If the weight is between 40 and 80 pounds, it calculates the additional cost by multiplying the excess weight (weight - 40) by $0.25 and adds it to the base cost of $20. If the weight exceeds 80 pounds, it returns a message indicating that the maximum weight limit has been exceeded.
Explanation:To represent the situation, we can define a function that takes the weight of the luggage as an input and calculates the cost based on the given pricing structure. Let's call this function calculate Luggage Cost. Here's how we can define it:
function calculate Luggage Cost(weight) {This function checks if the weight is less than or equal to 40 pounds and returns $20 in that case. If the weight is between 40 and 80 pounds, it calculates the additional cost by multiplying the excess weight (weight - 40) by $0.25 and adds it to the base cost of $20. If the weight exceeds 80 pounds, it returns a message indicating that the maximum weight limit has been exceeded.
27.9 divided by 0.3.
Answer:
93
Step-by-step explanation:
Answer:
Step-by-step explanation:
93
hello solve this please!
Answer:
x = 16
Step-by-step explanation:
they are equal angles
Please mark brainliest :)
Answer:
X=16
Step-by-step explanation:
Amar and his friends went to a movie at 4:45 p.m. The movie ended at 6:20 p.m. PART A How long was the movie in hours and minutes?
Answer:
The movie was 1 hour and 35 minutes long. (Or 95 minutes long)
Step-by-step explanation:
Well let's see:
It will take 15 minutes from the start to reach 5:00 PM
4:45+0:15=5:00
Now it will be 1 hour and 20 minutes from 5:00 PM to reach the end time of the movie.
Adding the minutes and hours together:
1 hour + 20 minutes + 15 minutes = 1 hour and 35 minutes
Answer:
1:35
Step-by-step explanation:
4:45 is where you start. If you go an hour at would be 5:45. Then count to 6:20. if it's tough go to a silent place and try not to think of anything else just of what your counting to. Hope this helps!
Bethany has a circular table that she needs to carry inside her house to paint. Her front door is a rectangle and has a width of 36 inches and a height of 80 inches
Answer: 1440
Step-by-step explanation:
36 * 80 = 2880 * ½ = 1440 so the answer of the triangle is 1,440
The area of circular table top is greater than the area of rectangular front door, circular table top will not fit through front door.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, front door is a rectangle and has a width of 36 inches and a height of 80 inches.
We know that, area of a rectangle is length×breadth
Now, area of front door is 80×36
= 2880 square inches
Here, radius of circular table top is 43 inches
Area of circle = πr²
= 3.14×43²
= 5805.86 square inches
Since, the area of circular table top is greater than the area of rectangular front door, circular table top will not fit through front door.
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"Your question is incomplete, probably the complete question/missing part is:"
Bethany has a circular table that she needs to carry inside her house to paint. Her front door is a rectangle and has a width of 36 inches and a height of 80 inches. If the table top has a diameter of 86 inches, will it fit through her front door?
Find the area of the circle. Round your answer to the nearest hundredth.
00
3 in.
Answer:
Step-by-step explanation:300
Annie bakes cookies and cupcakes in a ratio of 5 to 1 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake?
Answer:
30 cookies and 6 cupcakes
Step-by-step explanation:
5+1=6
5:1=6
?:?=36
36/6=6
5x6=30
1x6=6
30 cookies
6 cupcakes
Annie will need to bake 30 cookies and 6 cupcakes for the bake sale based on the given ratio.
Explanation:Annie bakes cookies and cupcakes in a ratio of 5 to 1. To solve the problem, the first thing we need to do is determine how many 'parts' there are in total. In this ratio, there are 5 parts cookies and 1 part cupcake, making a total of 6 parts.
In the question, it is mentioned that Annie needs to make 36 desserts. Each 'part' can then be calculated as 36 (total desserts) divided by 6 (total parts), which is 6.
As a result, Annie will need to bake 30 cookies (5 parts multiplied by 6) and 6 cupcakes (1 part multiplied by 6).
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The distance between (9,10 and (9,3)
If a car can drive 62 miles on 3 gallons of gas, how many gallons of gas will it use to travel 231 miles?
Answer:
x =11.17741935 gallons
Step-by-step explanation:
We can use a ratio to solve
62 miles 231 miles
--------- = -----------
3 gallons x gallons
Using cross products
62x = 231 *3
62x =693
Divide each side by 62
62x/62 = 693/62
x =11.17741935 gallons
Answer: 11.1774194 gallons of gas
Explanation: To solve this problem, our first step is to write down the unit ratio that is involved. In this case, it's miles traveled/gallons of gas.
Next, we set up a proportion based
on the information in the problem.
We know that a car gets 62 miles for every 3 gallons so we have 62/3 and we're asked how many gallons of gas
will it use to travel 231 miles so that's 231/x.
Notice that the 231 miles must go on top in the second ratio
because our unit ratio tells us that we put miles over gallons.
Solving from here, we use the means-extremes property which states that the product of the extremes, (62)(x) equals the product of the means, (3)(231).
So we have the equation 62x = 693.
Now, dividing both sides of the equation
by 63, we find that x = 11.1774194.
This means that the car will use 11.1774194
gallons of gas to travel 231 miles.
Zoya asked the students of her class their baseball scores and recorded the scores in the table shown below:
Baseball Scores
Based on the table, what is the mean baseball score?
Answer:
Correct answer is 4.1
Step-by-step explanation:
You have to list all scores, total them and then divide by the total count:
0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6
The sum is 134 divided by the total values in the data set, 33 = 4.1
To calculate the mean baseball score, add up all the scores and then divide by the number of scores. The example provided demonstrates this process with hypothetical scores.
Explanation:The mean is calculated by adding up all the scores and then dividing by the number of scores. Let's say the scores are 10, 20, 30, and 40. Here's how you calculate it:
Add up the scores: 10 + 20 + 30 + 40 = 100Count the number of scores. In this case, there are 4 scores.Divide the total by the number of scores: 100 ÷ 4 = 25. Therefore, the mean baseball score is 25.This method applies to any group of numbers, whether they are baseball scores or other data sets.
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Which statement is true of data in a line graph?
It is discrete.
It can only have certain values.
It is given in data pairs.
It is continuous.
Answer:
the last one i think
Step-by-step explanation:
LaTasha was presented with the following data set and argued that there was no correlation between x and y. Is LaTasha correct? Use the regression equation to explain your reasoning.
Answer:
LaTasha is correct. There is no correlation between x and y. The slope of the line of best fit is zero, which shows that there is no negative or positive correlation.
No, LaTasha is not correct. To determine whether there is a correlation between x and y, we need to use the regression equation and calculate the correlation coefficient.
Explanation:No, LaTasha is not correct. To determine whether there is a correlation between x and y, we need to use the regression equation. If the regression equation is significant and the correlation coefficient is significantly different from zero, then there is a linear relationship between x and y. If the correlation coefficient is not significantly different from zero, then there is no significant linear relationship. In this case, we need to calculate the correlation coefficient and see if it is significant.
To calculate the correlation coefficient, we use the formula r = √(SSR / SST), where SSR is the sum of squared residuals and SST is the total sum of squares. If the correlation coefficient is significantly different from zero, then there is a linear relationship between x and y.
In conclusion, we cannot determine if there is a linear correlation between x and y without calculating the correlation coefficient.
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How do I solve for the value of csc0 ?
Answer:
Step-by-step explanation:
X=y
[tex]\[ \csc(\theta) = \frac{15}{12} = \frac{5}{4} \][/tex] Option C. 15/12 is the Right Choice.
In a right triangle, the cosecant ([tex]\(\csc\)[/tex]) of an angle is the ratio of the length of the hypotenuse to the length of the side opposite the angle. In this scenario, we're given an angle [tex]\( \theta \)[/tex] and the side opposite to it measures 12 units. The length of the hypotenuse is denoted as [tex]\( r \)[/tex], and the length of the other side is 9 units.
To find the length of the hypotenuse ([tex]\( r \)[/tex]), we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. So, we have:
[tex]\[ r^2 = 12^2 + 9^2 \][/tex]
[tex]\[ r^2 = 144 + 81 \][/tex]
[tex]\[ r^2 = 225 \][/tex]
Taking the square root of both sides, we get [tex]\( r = 15 \)[/tex].
Now that we have the length of the hypotenuse ([tex]\( r = 15 \)[/tex]), we can find the cosecant ([tex]\(\csc\)[/tex]) of angle [tex]\( \theta \)[/tex]. The definition of [tex]\(\csc\)[/tex] in a right triangle is:
[tex]\[ \csc(\theta) = \frac{r}{\text{opposite side}} \][/tex]
Substituting the values we have, we get:
[tex]\[ \csc(\theta) = \frac{15}{12} \][/tex]
Simplifying this expression, we find that:
[tex]\[ \csc(\theta) = \frac{5}{4} \][/tex]
Therefore, the value of [tex]\( \csc(\theta) \)[/tex] is [tex]\( \frac{5}{4} \)[/tex]. Hence, the correct answer is C. 15/12.
Find the volume, to the nearest m to the third power of a cylinder with diameter 6 m and height 8 m
Answer: [tex]226.08m^3[/tex]
Step-by-step explanation:
[tex]V=(3.14)(3m)^2(8m)\\V=(3.14)(9m^2)(8m)\\V=226.08m^3[/tex]
Answer:
226.08m³
Step-by-step explanation:
8p = 56 what does p=
Answer:
p=7
Step-by-step explanation:
What you need to do here is to isolate p.
This way, you can find the value of p.
8p=56
We can divide both sides by 8 to make this work.
This will isolate p while keeping the equation true.
8p/8=p
56/8=7
Therefore, p=7
Determine the angles A and B given the following information:
a=15
b=22
Answer:
B ≈ 55. 71°
A = 34.29°
Step-by-step explanation:
The picture demonstrate on how you could solve the angles of A and B in a triangle with a given sides a and b. Angle C is a 90° .That makes the triangle a right angle triangle.
Let us find angle B
using SOHCAHTOA principle
tan B = opposite.adjacent
tan B = b/a
tan B = 22/15
tan B = 1.46666666667
B = tan⁻¹ 1.46666666667
B = 55.7131230228 °
B ≈ 55. 71°
Let us find angle A
The sum of angle in a triangle = 180° Therefore, the angle A can be solved when you subtract angle C and B from 180°.
angle A = 180° - 90° - 55.71°
angle A = 34.29°
How can I factorize the next equation?
[tex]f(x)=x^4+2x^3-9x^2+18x[/tex]
Step-by-step explanation:
Use grouping.
f(x) = x⁴ + 2x³ − 9x² + 18x
f(x) = x³ (x + 2) − 9x (x + 2)
f(x) = (x³ − 9x) (x + 2)
f(x) = x (x² − 9) (x + 2)
f(x) = x (x − 3) (x + 3) (x + 2)
twice a number decreased by 20 is 50.
Answer:
The number is 35.
Step-by-step explanation:
Let the number be x
Twice the number: 2*x = 2x
Twice the number decreased by 20: 2x - 20
2x - 20 = 50
Add 20 to both sides
2x - 20 +20 = 50 + 20
2x = 70
Divide both sides by 2
2x/2 = 70/2
x = 35
Students are selling pies for a school fundraiser. Customers can buy cherry pies and apple pies. Jennifer sold 12 cherry pies and 3 apple pies for a total of 144. Jacob sold 2 cherry pies and 9 apple pies for a total for 126
Answer: A cherry pie costs 9 and an apple pie cost 12
Step-by-step explanation:
Let an apple pie be represented by a
Let an cherry pie be represented by c
Jennifer sold 12 cherry pies and 3 apple pies for a total of 144. This can be written as:
12c + 3a= 144
Jacob sold 2 cherry pies and 9 apple pies for a total for 126. This can be written as:
2c + 9a = 126
12c + 3a= 144 ............. i
2c + 9a = 126 ........... ii
Multiply equation i by 2
Multiply equation ii by 12
24c + 6a = 288 ........ iii
24c + 108a = 1512 ...... iv
Subtract iv from iii
-102a = -1224
a = 1224/102
a = 12
An apple pie costs 12
From equation i
12c + 3a= 144
12c + (3×12) = 144
12c + 36 = 144
12c = 144 - 36
12c = 108
c = 108/12
c = 9
A cherry pie costs 9
The problem is about solving a system of linear equations. By assigning C to represent the price of a cherry pie and A to represent the price of an apple pie, we created two equations to reflect Jennifer and Jacob's pie sales. Then solve the equations.
Explanation:The subject of the school fundraiser problem is systems of linear equations. Applying the method of simultaneous equations, we can represent this problem with two equations. Let's represent the cost of a cherry pie as C and an apple pie as A.
For Jennifer's sales, we form the equation 12C + 3A = 144. For Jacob's sales, we form the equation 2C + 9A = 126. To solve this system of equations, we can use substitution or elimination. These equations are a representation of the fact that each pie type has a consistent price, irrespective of who is selling it or how many of each are sold.
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List the angles in order from smallest to largest.
A) ∠E < ∠D < ∠F
B) ∠D < ∠E < ∠F
C) ∠F < ∠E < ∠D
D) ∠D < ∠F < ∠E
Answer: A) ∠E < ∠D < ∠F
To determine the correct order of the angles, we need to compare their sizes [tex]∠D < ∠E < ∠F[/tex] Therefore the correct option is B .
Let's analyze each option: A) [tex]∠E < ∠D < ∠F[/tex]: This is incorrect because it suggests that ∠E is the smallest, followed by ∠D, and then ∠F. B) : This seems to be the most logical answer as it indicates that ∠D is the smallest, followed by ∠E, and then ∠F. C) [tex]∠F < ∠E < ∠D:[/tex]
This option states that ∠F is the smallest angle, which contradicts the given inequality. D)[tex]∠D < ∠F < ∠E:[/tex] This is also incorrect as it suggests that ∠D is the smallest, followed by ∠F, and then ∠E. Therefore, the correct order of the angles, from smallest to largest, is [tex]∠D < ∠E < ∠F,[/tex]which is option B.
Hence the correct option is B.
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] Mr. Santiago received a job with an annual salary of $51,000. He will receive a 1.5% increase every year. How much will Mr. Santiago make in 3 years?
Answer:
He will make $53,330
Step-by-step explanation:
In this question, we are tasked with calculating how much Mr Santiago will make in three years.
To calculate the future value of his earnings, we can use the formula for the future value of the salary
Mathematically, the FV = I(1 + r)^t
Where I is the initial amount of $51,000
r is the interest rate which is 1.5% = 1.5/100 = 0.015
t is the time in years which is 3 years
We plug these values into the equation above;
FV = 51,000(1+0.015)^3
FV = 51000(1.015)^3
FV = 53,329.59 which is $53,330 to the nearest whole dollars
Sam was given a bag of 100 red and blue marbles. He believes
that half of the marbles are red. To test his hypothesis, Sam
draws a marble from the bag without looking, records its color,
and then returns it to the bag. He repeats this process 49 times.
If Sam picks 35 blue and 15 red marbles, which conclusion is
accurate?
Select one
The number of red and blue marbles is probably the same.
O
There are probably only 15 red marbles in the bag.
O
There are probably more red marbles than blue marbles in the bag.
O
There are probably more blue marbles than red marbles in the bag.
Answer:
(D) There are probably more blue marbles than red marbles in the bag.
Step-by-step explanation:
There are a total of 100 marbles in the bag.
In the experiment of 50 trials, Sam had the following outcome:
Blue=35
Red=15
Relative Frequency of Blue Marbles =35/50=0.7
Relative Frequency of Red Marbles =15/50=0.3
Since the relative frequency of blue marbles is greater than the relative frequency of red marbles, there are probably more blue marbles than red marbles in the bag.
The correct option is D.
write an expression to represent 6 less than 8 times c
Answer:
(8*c)-6
Step-by-step explanation:
Answer:
8c - 6.
Step-by-step explanation:
8 times c = 8c.
Now 6 less than this is 8c - 6.
In the table, x represents every mile driven in a cab and y represents the cost. A 2-column table with 5 rows. Column 1 is labeled x with entries 1.25, 2.50, 3.75, 5, 6.25. Column 2 is labeled y with entries 7.50, 10.0, 12.5, 15.0, 17.5. Is the slope increasing or decreasing? What is the slope for this scenario?
The slope for this scenario of X (every mile driven in cab) and Y (cost ) is 2 and the slope is increasing.
X 1.25 2.50 3.75 5 6.25
Y 7.50 10.0 12.5 15 17.5
[tex]x_{1}= 1.25 \\ x_{2} = 2.50 \\ y_{1}=7.50 \\y_{2}=10[/tex]
What is the Slope?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line. It is represented by m.
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
Substitute all the required values in Slope formula, we get
[tex]m =\frac{10-7.50}{2.50-1.25}[/tex]
[tex]m = \frac{2.50}{1.25}[/tex]
[tex]m=2[/tex]
Thus, the slope of the given scenario is 2 and X and Y are increasing simultaneously as well as slope is positive. So, we can say it is a increasing slope.
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Answer: In the table, x represents every mile driven in a cab and y represents the cost.
A 2-column table with 5 rows. Column 1 is labeled x with entries 1.25, 2.50, 3.75, 5, 6.25. Column 2 is labeled y with entries 7.50, 10.0, 12.5, 15.0, 17.5.
Is the slope increasing or decreasing?
✔ increasing
What is the slope for this scenario?
✔ 2
Step-by-step explanation:
What has to happen for a disease to become a pandemic?
Answer:
its the second one
Step-by-step explanation:
I want brainliest
Answer:
it has to spread over a large portion of the world
Explanation:
That's what a pandemic is.
If ABCD is a rhombus AD=4x+2 DC=7x-13 and BD=34 find AE (E is in the middle)
Answer: Line AE equals 14 units (approximately)
Step-by-step explanation: If you have a rhombus given, it is important to begin by highlighting the properties of a rhombus. A rhombus first of all is four-sided shape with all sides congruent, then the two opposite sides are parallel and congruent. Also, the diagonals bisect each other into two equal halves each.
Therefore, we shall examine a rhombus labelled ABCD, with side AD measuring 4x + 2, and side DC measuring 7x - 13. Then BD is a diagonal from point B to point D, and it measures 34 units. Also a diagonal is drawn halfway from point A and stops at point E (E is in the middle), where it bisects diagonal BD into two halves. Remembering that all sides of a rhombus are equal, then note that AD equals DC, that is;
4x + 2 = 7x - 13
2 + 13 = 7x - 4x
15 = 3x
Divide both sides of the equation by 3
5 = x
If AD = 4x + 2, then when x = 5
AD = 4(5) + 2
AD = 20 + 2
AD = 22
Therefore triangle ADE can now be isolated with side AD measuring 22 units and side ED measuring 17 units (midpoint between points B and D). Line AE can be calculated using the Pythagoras theorem which states as follows;
AC² = AB² + BC²
Where AC is the hypotenuse, and AB and BC are the two other sides
Substituting for values as given in the question, we now have;
AD² = ED² + AE²
22² = 17² + AE²
484 = 289 + AE²
484 - 289 = AE²
195 = AE²
Add the square root sign to both sides of the equation
√195 = √AE²
13.96 = AE
Therefore line AE ≈ 14 units (to the nearest whole number)