Answer:
y = - x + 6===========================
GivenLine q with equation of y = - x + 2,Line r with the point (9, - 3) and parallel to line q.To find Equation of line r.SolutionWe know parallel lines have equal slopes, so line r has the slope of - 1.
Line r is:
y = - x + b, where b- the y-interceptSubstitute the coordinates of the point into this equation and find the value of b:
- 3 = - 9 + bb = - 3 + 9b = 6The equation of line r is:
y = - x + 6Mai is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.Company A charges $97 and allows unlimited mileage.Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.For what mileages will Company A charge less than Company B?Use m for the number of miles driven, and solve your inequality for m.
Answer:
m>60
Explanation:
Let the number of miles driven = m
Company A charges $97 and allows unlimited mileage.
[tex]\text{ Total Charge for Company A}=\$97[/tex]Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.
[tex]\text{ Total Charge for Company B}=55+0.70m[/tex]When the charge for Company A is less than that of Company B:
[tex]97<55+0.70m[/tex]We then solve the inequality for m:
[tex]\begin{gathered} 97\lt55+0.70m \\ \text{ Subtract 55 from both sides} \\ 97-55\lt55-55+0.70m \\ 42\lt0.70m \\ \text{ Divide both sides by 0.7} \\ \frac{42}{0.70}<\frac{0.70m}{0.70} \\ 6060 \end{gathered}[/tex]Company A will charge less than Company B when the number of miles driven, m is greater than 60.
The average daily high temperature in Montreal last week was 12°. This week's average daily high temperature is supposed to be 24° lower. If the high temperature on Friday is equal to this week's average daily high temperature, which of the following could be Friday's high temperature? A. -36° B. -3° C. -12° D. 2°
If the high temperature on Friday is equal to this week's average daily high temperature, the option that could be Friday's high temperature is: C. -12°.
How to find the temperature?Using this formula to find the high temperature
High temperature= Last week average daily high temperature + ( -This week average daily high temperature)
Let plug in the formula
High temperature = 12° + (-24°)
High temperature= -12°
Therefore the correct option is C.
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Question 15 only, I inserted a picture. Please show your work. graph the solution to the in equality
You have the following inequality:
√x > 2
Consider that only positive values of x result in real solutions. Moreover, if you squared both sides of the inequality, you obtain:
x > 4
The graph of the inequality is shown below:
Write an equation in standard form of the line that passes through the given point and has the given slope.
(-6, -10); m =
6
Answer:
Below
Step-by-step explanation:
First , write it in point (-6, -10) slope ( 6 ) form then manipulate it to standard form:
(y- -10) = 6 ( x - -6)
y+10 = 6x + 36
6x - y = -26
The graph of a function fis shown below.
Use the graph of the function to find its average rate of change from x=-9 tox=-1.
Simplify your answer as much as possible.
The average rate of change from x = -9 to x = -1 of the graph of the given function is 0.
We know that the rate of change of a function is nothing but the slope of the line.
The slope of the line is given by;
Slope = Change in y-coordinate / change in x-coordinate
We are given the graph of a function.
We need to find the average rate of change from x = -9 to x = -1.
Let us find the value of y or f(x) for the given value of x.
For x = -9, y = 2
For x = -1, y = 2.
Put the values of x and y in the slope formula, we will get;
Slope = (2 - 2) / (- 1 - (-9)) = 0
So, the rate of change of function is 0.
Thus, the average rate of change from x = -9 to x = -1 of the graph of the given function is 0.
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What are the domain and range of the function represented by the set ofordered pairs?{(-13, 9), (-7,-5), (5, 14), (11,-10)}
Solution:
Given the ordered pairs;
[tex]\lbrace(-13,9),(-7,-5),(5,14),(11,-10)\rbrace[/tex]The domain, x, of the function is;
[tex]x=\lbrace-13,-7,5,11\rbrace[/tex]Then, the range, y, is;
[tex][/tex]If the following fractions were converted to decimals, which one would result in a repeating decimal?
A. 3⁄7
B. 1⁄9
C. 3⁄4
D. 5⁄11
3/7 and 5/11 are fraction when converted in decimals resulted in repeating decimals.
Repeating decimals also known as recurring decimals means after decimals , a particular digit or sequence of digits keep repeating itself indefinitely . They are non terminating numbers means which don't have a end. Bars are used over that repeating digits .
Dividing the fractions :
A . 3/7 = 0.42857
It has different values after decimals
B. 1/9 = 0.111111
it has single value 1 which is repeating itself
C . 3/4 = 0.75
two different values after decimals
D. 5/11 = 0.4545454
after decimals 45 a sequence of number is repeating itself
3/7 and 5/11 are fraction which resulted into repeating decimals.
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Write an equation of the line in point-slope form that passes through the given points. (-2,8) and (7,-4)
The equation of the line is y-8 = [tex]\frac{-4}{3}[/tex] ( x+2) .
What is equation of the line ?
A line's coordinate plane equation can be expressed in two point form. Depending on the information at hand, a line's equation can be discovered using a variety of techniques. One approach is the two-point form. When two points that are on the line are known, this is used to find the equation of the line. The slope intercept form, intercept form, point slope form, and other crucial forms for representing the line equation.
Here the given two points are ,
[tex](x_1,y_1)=(-2,8)\\(x_2,y_2)=(7,-4)[/tex]
Now using slope formula,
slope m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
=> slope m = [tex]\frac{-4-8}{7+2}[/tex]
=> slope m = [tex]\frac{-12}{9}= \frac{-4}{3}[/tex]
Now using equation formula,
=> [tex]y-y_1 = m(x-x_1)\\[/tex]
=> y-8 = [tex]\frac{-4}{3}[/tex] ( x+2)
Hence the point slope form of the equation is y-8 = [tex]\frac{-4}{3}[/tex] ( x+2) .
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The number of bacteria in a refrigerated food product is given by N(T) = 27T^2 - 155T + 66, 6 < T < 36, where T is the temperature of the food.When the Food is removed from the refrigerator, the tempersture is given by T(t) = 6t + 1.7, where t is the time in hours.Find the composite function N(T(t)): N(T(t)) =Find the time when the bacteria count reaches 26087. Time needed = ____ hours
Okay, here we have this:
Considering the provided information, we are going to calculate the requested composition and time, so we obtain the following:
Composite function N(T(t)):
[tex]\begin{gathered} N(6t+1.7)=27\mleft(6t+1.7\mright)^2-155\mleft(6t+1.7\mright)+66 \\ =27\mleft(36t^2+20.4t+2.89\mright)-155\mleft(6t+1.7\mright)+66 \\ =972t^2+550.8t+78.03-155\mleft(6t+1.7\mright)+66 \\ =972t^2-379.2t-119.47 \end{gathered}[/tex]Finally we obtain that N(T(t)) is equal to 972t^2-379.2t-119.47.
Now, let's the time when the bacterias count reaches 26087:
[tex]undefined[/tex]pleaneu help us were in class and we don't know the answer guys
The slope of the given linear function is found as -3/4.
What is meant by the linear function?A straight line just on coordinate plane is represented by a linear function.The formula for a linear function is f(x) = mx + b, where m and b are real numbers. Isn't it resembling the slope-intercept form of a line, represented by the equation y = mx + b.For the given question, the values for the x and y coordinates are given .
Consider two points;
(x1, y1) = (4, 6)
(x2, y2) = (8, 3)
Slope = m = (y2 - y1)/(x2 - x1)
Put the values.
m = (3 - 6)/(8 - 4)
m = -3/4
Thus, the slope of the given linear function is found as -3/4.
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Point A is at (6,1) and point C is at (2,-7)
Find the coordiantes of ppint b on line segamnt AC such that AB= 1/3BC
Answer:
A (6. 1) C (2. -7)
6-2 = 4 1- (-7) = 8
as AB= 1/3 BC = AB= 1/4 AC
so x=6-4/4 =5
y= 1-8/4 =-1
so B(5, 1)
Answer:
B(5, - 1)----------------------------------
GivenPoints A(6, 1) and C(2,- 7),Point B that partitions AC as AB : BC = 1 : 3.Find point BUse the section formula
[tex]P=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )[/tex], where P- point to be found, m : n is the ratio and the (x,y) are coordinates of endpointsSubstitute and find the point B:
[tex]B=(\dfrac{1*2+3*6}{1+3} ,\dfrac{1*(-7)+3*1}{1+3} )=(20/4,-4/4)=(5,-1)[/tex]draw the lewis structure for nh3. what are the approximate bond angles, in degrees, around the n atom?
Trigonal pyramidal is the NH3 molecule's molecular shape. The hydrogen atoms are attracted to the lone pair of electrons on the nitrogen atom, which causes the NH3 bond angle to be 107 degrees.
What is Hybridisation?The process of merging two atomic orbitals to produce a new variety of hybridized orbitals is described as hybridization.
Usually, this mixing creates hybrid orbitals with entirely distinct energies, forms, and other characteristics.
Atomic orbitals with the same energy level are principally responsible for hybridization.
However, if the energies of the orbitals are equivalent, the process can involve both fully filled and partially filled orbitals.
We can better understand bond formation, bond energies, and bond lengths by using the hybridization concept, which is an extension of valence bond theory.
Hence, Trigonal pyramidal is the NH3 molecule's molecular shape. The hydrogen atoms are attracted to the lone pair of electrons on the nitrogen atom, which causes the NH3 bond angle to be 107 degrees.
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PLEASE HELP NEED THIS NOW DUE IN AN HOUR!!
Write and simplify an expression to represent the perimeter of the triangle shown. What is the perimeter of the triangle if y equals 3 feet?
(Please show work)
The perimeter of the triangle if y equals 3 feet is 31 feet.
Given:
sides of the triangle are y+5, 4y-3 and 3y+5 feet.
y = 3 feet
Let a = y + 5 = 3+5 = 8.
so a = 8 feet.
b = 4y - 3
= 4*3 - 3
= 12 - 3
b = 9 feet.
c = 3y+5
= 3*3+5
= 9+5
c = 14 feet.
Perimeter of the triangle = a+b+c
= 8 + 9 + 14
= 17 + 14
= 31 feet.
Therefore the perimeter of the triangle if y equals 3 feet is 31 feet.
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China produces about 196 million metric tons of rice per year. the Philippines produces about 16 million metric tons of rice per year. how many times did Philippine yearly rice production does China produce?
For the information given in the statement let:
*C the million metric tons of rice that China produces per year
*P the million metric tons of rice that Philippines produces per year
So, you have
[tex]\begin{gathered} C=kP \\ \text{ Where k is the number of times the annual rice production of the Philippines} \\ 196=k\cdot16 \\ \text{ Divide by 16 into both sides of the equation} \\ \frac{196}{16}=\frac{k\cdot16}{16} \\ 12.25=k \end{gathered}[/tex]Therefore, annually China produces 12.25 times the amount of rice that the Philippines produces.
Answer:
12.25 times
Step-by-step explanation:
196/16 = 12.25
1. Evaluate the expression using the order of operations. Show your work.
(due right now) Will mark brainliest + 20 points
Answer:
0.5
Step-by-step explanation:
-1 + 3[(10-12)³÷(-16)]
Step 1: (10 - 12)³ — Bracket
(-2)³ = -8
Step 2: -8 ÷ (-16) — Division
-8/-16
= 1/2
Step 3: 3(1/2) — Multiplication
= 3/2
Step 4: 1 + 3/2 — Addition
= 0.5
You can also type it straight into the calculator to confirm.
Find the derivative of y with respect to z.y = ln (sinh 9z)
The given function is:
[tex]y=\ln (\sinh 9z)[/tex]Differentiate w. r. t. z to get:
[tex]\begin{gathered} \frac{dy}{dz}=\frac{d}{dz}(\ln \sinh 9z) \\ =\frac{1}{\sinh9z}\frac{d}{dz}(\sinh 9z) \\ =\frac{1}{\sinh9z}\cosh 9z(\frac{d}{dz}9z) \\ =\frac{9\cosh 9z}{\sinh 9z} \\ =9\cot h9z \end{gathered}[/tex]Hence the derivative is 9cot9z.
if i have figure A (R=5ft) and figure B is (R=2ft) and the volume =(88 cu ft) what is the answer
we get that
[tex]h_b=\frac{88}{4\cdot\pi}\approx7[/tex]as the figure are congruent we get
[tex]h_a=\frac{5}{2}\cdot7=17.5[/tex]so the volume is
[tex]V_a=\pi\cdot5^2\cdot17.5=1375ft^3[/tex]If I have 69,420 gallons of cream, and my friend chugs 420 gallons of my cream how many gallons do I have that have not been downed by my friend? And if after, my friend chugs another 6,900 of my gallons of cream, how many gallons of my cream has my friend enjoyed?
Answer: 62,110 Gallons left of icecream after his friend ate 7320 Gallons
NOT ENOUGH INFO TO PROVE HOW MUCH FRIEND HAS ENJOYED
Step-by-step explanation:
To find out how much icecream is left do
69,420 Gallons -420 Gallons =69000 Gallons leftthen do 69000 Gallons -6900 Gallons =62110 Gallons leftTherefore there is 62,110 gallons left of icecream
To find out how much icecream his friend has ate
add 420 Gallons +6900 Gallons =7320 GallonsTherefore his friend has ate
7320 Gallons
I WILL BRAINIEST!!!
The two-way frequency table contains data about how students access courses.
Traditional Online Row totals
Computer: |28| |62| |90|
Mobile device: |46| |64| |110|
Column totals: |74| |126| |200|
What is the joint relative frequency of students who use a mobile device in an online class?
Answer: 32%
Step-by-step explanation:
The reason on why this answer is 32% is because in order to calculate joint relative frequency, you must have two values.
The first value is the one the question is asking you about. For this, it's mobile device in online classes, which is 64 on the table. Simply divide this number by the total of the table, which is normally on the bottom right. In this case, it's 200.
Now all that needs to be done is this:
[tex]\frac{64}{200}[/tex] = 0.32, which is 32%.
The answer is 32%, C.
The joint relative frequency of students who use a mobile device in an online class will be 32% as the "Student who use a mobile device in online class=64 and total students=200".
What is joint relative frequency?The ratio of a frequency that is not in the total row or column to the total number of values or observations is known as joint relative frequency. In a two-way frequency table, the marginal frequency is the entry in the "total" for the column and the "total" for the row. These are the frequencies in a given category divided by the total number of data values. The term "joint frequency" refers to the joining of one variable from the row and one variable from the column. The ratio of the frequency in a specific category to the total number of data values is known as joint relative frequency.
Here,
Title Traditional Online Row totals
Computer: |28| |62| |90|
Mobile device: |46| |64| |110|
Column totals: |74| |126| |200|
The joint relative frequency of students who use a mobile device in an online class,
Student who use a mobile device in online class=64
Total students=200
64/200=0.32
0.32*100=32%
As "Students who use a mobile device in an online class=64 and total students=200," the joint relative frequency of students who use a mobile device in an online class will be 32%.
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The x-coordinates of the points of intersection of the given function graphs are;
1) x = 0 and x = 2
2) x = -1
3) x = 0
What is the point of intersection of the graph?The point of intersection of a graph is defined as the point or coordinates where two lines or curves meet each other.
1) In the first graph, we are given the functions as;
f(x) = -³/₄x² + 3x + 1
g(x) = 2ˣ
Thus;
From the graph, f(x) = g(x) is at (2,4 and (0, 1)
2) In the first graph, we are given the functions as;
f(x) = x² + 4x + 2
g(x) = (¹/₂)ˣ + 1
Thus;
From the graph, f(x) = g(x) is at (-1. 3)
C) In the third graph, we are given the functions as;
f(x) = -⁷/₃x - 3
g(x) = 2ˣ - 4
Thus;
From the graph, f(x) = g(x) is at (0, -3)
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Andrew is home one winter day studying for an exam. It is lunchtime and he is hungry. Instead of making a sandwich from roast beef in the fridge, he drives to taco bell and spends $5 for 2 tacos, a burrito, and a dr. Pepper. He reasons that he can make $10 per hour cutting lawns so he really saves $5 by going to taco bell rather than preparing his own meal. What's wrong with andrews argument?.
Answer:
He cannot save $5 when he is buying something instead of making it himself.
Step-by-step explanation:
He makes $10 from lawn mowing and spends $5 on Taco Bell. He has $5 left.
If he made is lunch, He would have had $10 dollars.
Andrew's argument is flawed because he is not considering all of the costs and benefits associated with his decision to go to Taco Bell instead of preparing his own meal.
What is the argument?An argument is a collection of claims, the premises of which are provided in support of another statement, the conclusion.
There are a few problems with Andrew's argument.
First, he is assuming that the only cost of preparing his own meal is the price of the ingredients. However, there are also opportunity costs associated with preparing his own meal, such as the time he spends making it and the opportunity to do something else during that time (such as study for his exam).
Second, Andrew is assuming that he would have spent the same amount of money on ingredients as he did on his meal at Taco Bell. However, it is possible that the ingredients he would have used to make his own meal would have cost less than $5, in which case he would not have saved as much money as he thinks.
Finally, Andrew is assuming that he would have spent the same amount of time preparing his own meal as he did going to Taco Bell. However, it is possible that it would have taken him longer to prepare his own meal, in which case the opportunity cost of his time would have been even higher.
Overall, Andrew's argument is flawed because he does not evaluate all of the expenses and advantages of his decision to eat at Taco Bell instead of cooking his own dinner.
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11 The table below shows pairs of values that satisfy a linear function.2 -53 64 175 286 397 50What is the y-intercept of the graph of this function?
10)
we get the points from the table are (2,12) and (8,0).
Consider the line equation.
[tex]y=mx+b[/tex]where b is the y=intercept.
Substitute x=2 and y=12, we get
[tex]12=m(2)+b[/tex][tex]12=2m+b[/tex][tex]12-b=2m[/tex][tex]\frac{12-b}{2}=m[/tex]Substitute x=8 and y=0 in the line equation, we get
[tex]0=8m+b[/tex]Substitute m value in this equation to find the value of b.
[tex]0=8(\frac{12-b}{2})+b[/tex][tex]0=4(12-b)+b[/tex][tex]0=4\times12-4b+b[/tex][tex]0=48-3b[/tex][tex]3b=48[/tex]Dividing both sides by 3, we get
[tex]b=\frac{48}{3}=16[/tex]Hence the y-intercept is 16.
11)
we get the points from the table are (2,-5) and (4,17).
Consider the liner function.
[tex]y=mx+b[/tex]where b is the y-intercept.
Substitute x=2 and y=-5, we get
[tex]-5=2m+b[/tex][tex]-5-b=2m[/tex][tex]\frac{-5-b}{2}=m[/tex][tex]m=\frac{-5-b}{2}[/tex]Substitute x=4 and y=17 in the equation, we get
[tex]17=4m+b[/tex]Substitute the value of m in this equation to find the value of b.
[tex]17=4(\frac{-5-b}{2})+b[/tex][tex]17=2(-5-b)+b[/tex][tex]17=-10-2b+b[/tex][tex]17+10=-b[/tex][tex]b=-27[/tex]Hence the y-intercept is -27.
Find all points on the y-axis that are 5 units from the point (4, 6). (smaller y-value)(x, y) = (larger y-value)
Step 1:
Write the parent coordinates
(4 , 6)
Step 2
The point can bo on the positive y-axis or on the negative y-axis.
New coordinates
( 4 + 5, 6 + 5)
= (9 , 11)
Or
( 4 - 5, 6 - 5)
= (-1 , 1)
Final answer
Smaller y-value = 1
Larger y-value = 11
The equation of a circle centred at the origin with a radius of 3 units is defined by X^2 + Y^2=9. Determine the equations of the line passing through the point (0,5) that intersects the circle at exactly one point
The equations of the lines that pass through the point (0,5) and intersect the circle at exactly one point are y = 4/3x + 5 and y = -4/3x + 5.
The equation of a circle centred at the origin with a radius of 3 units is defined by x² + y² = 3². The coordinates of the point are (0, 5). Let the equation of the tangent be y = mx + c.
y = mx + c
5 = m(0) + c
c = 5
The equation of the tangent is of the form mx -y + 5 = 0. The distance of the centre of the circle from the tangent must be equal to the radius of the circle.
d = |ax + by + c|/√(a² + b²)
3 = |m(0) + (-1)(0) + 5|/√[m² + (-1)²]
√[m² + (-1)²] = 5/3
m² + 1 = 25/9
m² = 16/9
m = ±4/3
The equations of the tangents are y = 4/3x + 5 and y = -4/3x + 5.
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60 feet per second = how many kilometers per hour?
For solving this problem we have to know the transformations between feeds and kilometers and seconds to hours:
[tex]\begin{gathered} 1\operatorname{km}=3280.84ft \\ 1h=3600\text{ seg} \end{gathered}[/tex]Now we can make the transformation:
[tex]60\frac{ft}{seg}=60\frac{1}{3280.84}\frac{3600}{1}=65.8\frac{\operatorname{km}}{h}[/tex]Please assist me with this too if you don't mind.
The equation when solved for k is of:
k = y - a(x - h)².
The domain for the relation is:
x ≥ 0.
How to solve the equation for k?The equation is defined as follows:
y = a(x - h)² + k
To solve for k, we have to isolate the variable k, moving the term a(x - h)², which doesn't have the variable k, to the other side with inverted signal, hence the solution for k is obtained as follows:
y - a(x - h)² = k.
k = y - a(x - h)².
What is the domain for a relation?The domain of a relation is the set containing all the values assumed by the input in the relation.
For the table, the input is the number of miles driven, which assumes values of zero and greater, hence the domain of the relation is defined as follows:
x ≥ 0.
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What is the approximate length of the track in miles
Explanation
Opposite sides are 5 miles each and for each semicircle we have:
[tex]\frac{2\pi *\frac{1}{2}}{2}=\frac{\pi}{2}\text{ miles}[/tex]Then the lenght of the track is:
[tex]5+5+\frac{\pi}{2}+\frac{\pi}{2}=10+\pi[/tex]Approximately 13.1416 miles
Solve the inequality. Graph the solution.
3x≤−5/4
The solution is
The resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.Use the following steps to solve an inequality: Step 1 Eliminate fractions by multiplying all terms by the fractions' lowest common denominator. Step 2 Combine like terms on both sides of the inequality to simplify. Step 3 Obtain the unknown on one side and the integers on the other by adding or subtracting quantities.So, solve the inequality as:
3x ≤ −5/4x ≤ −5/4-3x ≤ -5/4 × 1/3x ≤ -5/12Now, plot x ≤ -5/12 on the graph as follows:
(Refer to the graph attached below)Therefore, the resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.
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On Sunday, Steve, Jo, Lucy, Max, and Alex decide to throw aparty. On Monday, they each invite 3 friends. On Tuesday, thefriends that were invited on Monday each invite 3 more people.On Wednesday, the people who were invited on Tuesday eachinvite 3 more people.If this continues, how many people will be invited on Saturday toattend the party?
Step 1. The party will be thrown by Steve, Jo, Lucy, Max, and Alex --> 5 people.
On Monday, each invites 3 friends. So for, the number of people invited is:
[tex]5\times3=15[/tex]Step 2. On Tuesday, the friends that were invited (15) invited 3 more people each. The number of people invited now is:
[tex]15\times3=45[/tex]Step 3. On Wednesday, the 45 people invited on Tuesday, each invite 3 more people. The number of people invited again multiplies by 3:
[tex]45\times3=135[/tex]Step 4. The trend continues so for Thursday, the number of people invited on the previous day multiplies by 3:
[tex]135\times3=405[/tex]Step 5. On Friday the number of people invited is:
[tex]405\times3=1,215[/tex]Step 6. Finally, on Saturday, the day of the party, the number of people invited is multiplied one last time by 3:
[tex]1,215\times3=3,645[/tex]Answer:
3,645
8. An outlier is going to be added to a data set. Which is most likely to occur? A. an increase in the MAD, but not the IQR B. a decrease in the MAD, but not the IQR C. an increase in the IQR, but not the MAD D. a decrease in the IQR, but not the
Answer;
It causes an increase in the MAD, but not the IQR
Explanation;
Mathematically, we know that an outlier in a dataset represents a value that is at least 2 standard deviations away from the mean value
While MAD represents the mean absolute deviation, IQR represents the interquartile range
It is expected that the outlier affects the value of the standard deviation
By calculating the MAD, we have to subtract values from the mean and square them and this makes the mean absolute deviation affected by the outlier
Hence, we can conclude that the presence of an outlier increases the mean absolute deviation
For the interquartile range, it only moves the lower quartile and the upper quartile same way and thus, it has no effect on it