Answer:
The lines are not perpendicular
Explanation:
We are to calculate the slope from the information given to us and to determine if the lines are perpendicular. This is shown below:
Orange line
\(\begin{gathered} slope,m=\frac{rise}{run}=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ slope,m=\frac{y_2-y_1}{x_2-x_1} \\ \text{From the ordered pair that lie along the orange line, we have:} \\ (x_1,y_1)=(0,0) \\ (x_2,y_2)=(3,2) \\ \text{Substitute these into the formula, we have:} \\ slope,m=\frac{2-0}{3-0} \\ slope,m=\frac{2}{3} \end{gathered}\)Blue line
\(\begin{gathered} slope,m=\frac{rise}{run}=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ slope,m=\frac{y_2-y_1}{x_2-x_1} \\ \text{From the ordered pair that lie along the blue line, we have:} \\ (x_1,y_1)=(0,0) \\ (x_2,y_2)=(-1,2) \\ \text{Substitute these into the formula, we have:} \\ slope,m=\frac{2-0}{-1-0} \\ slope,m=\frac{2}{-1}=-\frac{2}{1} \\ slope,m=-\frac{2}{1} \end{gathered}\)For perpendicular lines, the relationship between their slope is that they are negative reciprocals of each other. This is given by the formula:
\(\begin{gathered} m=-\frac{1}{m_{perpendicular}} \\ \text{If the orange and blue lines are perpendicular, then this should be true:} \\ m_{orange}=-\frac{1}{m_{blue}} \\ \frac{2}{3}=\frac{-1}{-2} \\ \frac{2}{3}=\frac{1}{2}(FALSE) \\ \frac{2}{3}\ne\frac{1}{2} \\ \\ \therefore\frac{2}{3}\ne\frac{1}{2} \end{gathered}\)Therefore, the lines are not perpendicular
Solve the equation 4(2x + 1) = 6x - 12
x=-13/2
x = -8
x = 8
X=11/2
what is the length of x ??
a question was asked by a teacher to a student. She gave the student a jumbled word and told him to make words out of it. The jumbled word is gzeysktqix. Now you know what to do. see ya!
The teacher's question, the student can provide a List of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."
Let unscramble the jumbled word "gzeysktqix" and find the possible words that can be formed.
Upon unscrambling, we can find several possible words:
1. Sixty
2. Zesty
3. Skit
4. Site
5. Size
6. Exit
7. Yeti
8. Kits
9. Kite
10. Ties
These are some of the words that can be formed from the jumbled letters "gzeysktqix." There may be additional words that can be created, depending on the specific rules or restrictions given by the teacher.
Unscrambling words can be a fun and challenging exercise that helps improve vocabulary, word recognition, and problem-solving skills. It allows students to enhance their language abilities and discover new words they might not have known before.
Remember, the key is to rearrange the given letters systematically and try different combinations until meaningful words are formed.
So, in response to the teacher's question, the student can provide a list of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."
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What
is an arithmetic sequence with a common difference of −2?
Answer:
An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.
To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.
Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is
20,18,16,14,12
In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.
the GCF of each pair of monomials
24, 48m
Two houses on the same side of the street have house numbers that are consecutive
even integers. The sum of the integers is 58. What are the two house numbers?
Answer:
28 and 30
Step-by-step explanation:
'x' = 1st consecutive #
'x+2' = 2nd consecutive #
x + x+2 = 58
2x + 2 = 58
2x = 56
x = 28
x+2 = 30
17. Rob purchased a boat three years ago. The boat decreased by 7% each year. Three years
later, the value of the boat was $32,174.28. Which equation initially models the value of Rob's
boat?
A. y = 40,000(0.93)*
B. y = 40,000(1.07)*
C. y = 32,174.28 (0.93)*
D. y = 32,174.28 (1.07)*
Answer:
The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.
Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:
y = 40,000(0.93)^3
where y is the value of the boat after three years, and 40,000 is the initial value of the boat.
Simplifying this equation, we get:
y = 40,000(0.7951)
y = 31,804
However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.
To find the correct equation, we can use the formula for exponential decay:
y = a(1 - r)^t
where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.
In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.
So we can set up an equation:
32,174.28 = 40,000(0.93)^3
Simplifying this equation, we get:
32,174.28 = 31,804.00
This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:
y = 40,000(0.93)^t
where t is the time in years.
there are 25 student in a class. five of then scored A and 10 of them score B while the other scored C for Biostatistics. if a student is selected at random, calculate the probability that the selected student scored A or B in biostastics.
There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.
To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.
Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):
Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.
Therefore, the probability that a randomly selected student scored A or B
in Biostatistics is:
Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.
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In JKL, the measure of L=90 degrees, KJ=41, JL=40, and LK=9. What ratio represents the cosine of J ?
Given:
\(\begin{gathered} \angle L=90^{\circ} \\ KJ=41 \\ JL=40 \\ LK=9 \end{gathered}\)To find the cosine of angle J
By using cosine ratio,
\(\begin{gathered} \cos J=\frac{adjecent\text{ side}}{\text{hypotenuse}} \\ \cos J=\frac{JL}{JK} \\ \cos J=\frac{40}{41} \end{gathered}\)The ratio of cosine of angle J is 40/41.
Vector v has an initial point at (7, 6) and a terminal point at (-11, 16). What is v?
(9,-5)
(-9,5)
(9,5)
(-9,-5)
The value of v is: v = (-9, 5).
Open angled bracket negative 9 comma 5 close angled bracket.
Then the correct option is B.
We have,
The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
Vector v has an initial point at (7, 6) and a terminal point at (−11, 16).
Then the vector v is given as
v = 1/2 [(-11 - 7), (16 - 6)]
v = 1/2 [(-18), (10)]
v = (-9, 5)
Then the correct option is B.
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can someone help me with this
Answer:
31°
Step-by-step explanation:
If ∠dab=55° and ∠cab=24° and ∠cab+∠dac=∠dab then all you need to do is subtract 55° and 24° to get 31°
The difference of -10 and the product of p and q
The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10
Writing the algebraic expression in algebraic notationFrom the question, we have the following parameters that can be used in our computation:
The difference of -10 and the product of p and q
The numbers are given as
p and q
The product of p and q means pq
So, we have the following
The difference of -10 and pq
The difference of -10 and pq means
pq + 10
Hence, the expression is pq + 10
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In ADEF, f= 33 inches, ZF=140° and ZD=5°. Find the length of e, to the nearest 10th
of an inch.
The length of e is 29.53 inches.
what is Sine Law?In the following, the law of sine is presented in detail: In a triangle, the sine of angle A divided by side "a" equals the sine of angle B divided by side "b" equals the sine of angle C divided by side "c".
Given:
f= 33 inches
<F= 140, <D = 5
Now,
<E= 180 - (<F+ <D) = 180 - (140 + 5) = 35
Using Sine law
sin F / f = sin E/ e
sin 140 / 33 = sin 35 / e
0.642/ 33 = 0.573 / e
0.0194 e= 0.573
e= 29.53 inches
Hence, the length of e is 29.53 inches.
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Which sequence shows the numbers in order from least to greatest?
A. -2.14<3.16227766017<2.8
B. 2.8<3.16227766017<2.14
C. 2.14<3.16227766017 <2.8
D. 2.14<2.8<3.16227766017
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.
They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:
< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?
A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.
The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.
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should i give up with math it to hard and i try every time
Answer:
No as hard as math is it’s a great feeling when you get that “OHH I GET IT” moment. And plus if your in school your kinda. Stuck with it anyway
Step-by-step explanation:
Find x
14.2
18.5
find correct answer
From the circle the value of angle x is 90 degrees
We have to find the value of x
The radius of the circle is 18.5
As we observe the figure the angle x is opposite to the 90 degrees
The angle x and angle 90 degrees are vertical angles
We know that the vertical angles are equal or same
∠x = 90 degrees
Hence, the value of angle x is 90 degrees from the circle
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What is the surface area of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius is 10mm and the height is 5mm
Answer:
942 square millimeters.
Step-by-step explanation:
The formula for the surface area of a cylinder is:
S = 2πr^2 + 2πrh
where S is the surface area, r is the radius, and h is the height.
Substituting the given values, we get:
S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5
S = 628 + 314
S = 942
Therefore, the surface area of the cylinder is 942 square millimeters.
The water level in a burette is 30cm3 if 55 drops of water fall from the burette and the average volume of one drop is 0.12cm3 what is the final water level in the burette ?
Answer:
The final water level in the burette is \(23.4\ cm^3\)
Step-by-step explanation:
It is given the water level in a burette is \(30\ cm^3\). The burette loses 55 drops, each one with an average volume of \(0.12\ cm^3\).
If each drop has a volume of \(0.12 cm^3\), then 55 drops have a volume of \(55*0.12\ cm^3=6.6\ cm^3\)
The new level of water in the burette is the subtraction of the original contents minus the volume loss.
New volume = \(30\ cm^3-6.6\ cm^3\)
New volume = \(23.4\ cm^3\)
The final water level in the burette is 23.4\ cm^3
Write an equivalent expression for 2(3x + 5).
Answer:
I suggest that you use Socratic to solve this.
Step-by-step explanation:
\(\huge\text{Hey there!}\)
\(\huge\textbf{This equation requires us to do}\\\huge\textbf{distributive property.}\)
\(\huge\textbf{If you're unsure what the}\\\huge\textbf{distributive property formula is,}\\\huge\textbf{it is: }\)
\(\large\textbf{a(b + c)}\)
\(\large\textbf{= a(b) + a(c)}\)
\(\large\textbf{= ab + ac}\)
\(\huge\textbf{Now, that we have that information}\\\huge\textbf{out of the way, we can find the}\\\huge\textbf{result of your given equation.}\)
\(\huge\textbf{Your equation that you provided:}\)
\(\large\textbf{2(3x + 5)}\)
\(\large\textbf{= 2(3x) + 2(5)}\)
\(\large\textbf{= 6x + 10}\)
\(\huge\textbf{Do you see how interesting it was to}\\\huge\textbf{find the result to the question? }\huge\boxed{:)}\)
\(\huge\textbf{Anyway! Let's label our result since}\\\huge\textbf{we found it already while working it out.}\)
\(\huge\textbf{Thus, your answer should be: \boxed{\mathsf{6x + 10}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjo your day!}\)
~\(\huge\boxed{\frak{Amphitrite1040:)}}\)If HI=square root 20, classify this triangle by sides. *
10
6
8
b
6
in
4
3₂2
(4
H
scalene
isosceles
3 4
O equilateral
none
I
5
6
7
G
8 9
10
According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:
what is a sequence?A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.
We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.
Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.
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The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable.
Is the relation a function? Explain.
O Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
O No, because for each input there is not exactly one output
O No, because for each output there is not exactly one input
To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.
When does a relation represents a function?A relation represents a function when each input value is mapped to a single output value.
In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.
Missing Information
The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.
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Looking at the table above ,
A. What would you consider as the independent variable in this situation ? Introduce the symbol/ name (x,t,...) you will use to represent this variable . Remember to include the units.
B. What is the dependent variable ? Introduce the symbol /name for this variable . Remember the units .
The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).
The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.
The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.
The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.
An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.
In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).
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Pls,pls,pls,help me I will give lots of pound 100+ points
Answer:
3log(10) -2log(5) ≈ 1.60206no; rules of logs apply to any base. ln(x) ≈ 2.302585×log(x)no; the given "property" is nonsenseStep-by-step explanation:
1.The given expression expression can be simplified to ...
3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)
= log(1000/25) = log(40) . . . . ≠ log(5)
≈ 1.60206
Or, it can be evaluated directly:
= 3(1) -2(0.69897) = 3 -1.39794
= 1.60206
__
2.The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...
ln(x) = log(x)/log(e) ≈ 2.302585·log(x)
__
3.The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:
\(\log(a)\log(b)=\log(a^{\log(b)})=\log(b^{\log(a)})\)
Numerical evaluation of Mr. Kim's expression would prove him wrong.
log(3)log(4) = (0.47712)(0.60206) = 0.28726
log(7) = 0.84510
0.28726 ≠ 0.84510
log(3)log(4) ≠ log(7)
I have provided a picture
The regression equation is y = 28.0 + 0.0510x.
The best predicted temperature at a time when the cricket chirps 3000 times in 1 minute, based on the regression equation is 181°F.
What is wrong with this predicted temperature: B. It is unrealistically high. The value 3000 is far outside of the range of observed values.
How to determine the line of best fit?In this scenario, the chirps in 1 min would be plotted on the x-axis (x-coordinate) of the scatter plot while the temperature would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
From the scatter plot (see attachment) which models the relationship between the chirps in 1 min and the temperature, a regression equation or an equation for the line of best fit is given by:
y = 28.0 + 0.0510x
When x = 3000, the temperature can be calculated as follows;
y = 28.0 + 0.0510(3000)
y = 181°F
In conclusion, a temperature of 181°F is unrealistically too high because a chirps of 3000 times in 1 min is an outlier.
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how to solve this w2-64= by facturing
Answer: (x+8)(x-8)
Step-by-step explanation:
hope this helped :)
giving brainliest ! :))
Answer:
I did this before ok gh and jk is 5
Step-by-step explanation:
People at an airport can pass through security on one of two levels: level A or level B. Suppose that, on average, it takes people
22
2222 minutes to pass through security on level A with a standard deviation of
7
77 minutes. On level B, the mean and standard deviation are
20
2020 and
6
66 minutes, respectively.
Every day, the airport looks at an SRS of
100
100100 people who use level A, and an independent SRS of
150
150150 people who use level B. They calculate the mean time for each sample, then look at the difference
(
A
−
B
)
(A−B)left parenthesis, start text, A, end text, minus, start text, B, end text, right parenthesis between the sample means.
What are the mean and standard deviation (in minutes) of the sampling distribution of the difference in sample means?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
μ
x
ˉ
A
−
x
ˉ
B
=
2
σ
x
ˉ
A
−
x
ˉ
B
=
7
2
+
6
2
250
μ
x
ˉ
A
−
x
ˉ
B
σ
x
ˉ
A
−
x
ˉ
B
=2
=
250
7
2
+6
2
(Choice B)
B
μ
x
ˉ
A
−
x
ˉ
B
=
2
σ
x
ˉ
A
−
x
ˉ
B
=
7
2
100
+
6
2
150
μ
x
ˉ
A
−
x
ˉ
B
σ
x
ˉ
A
−
x
ˉ
B
=2
=
100
7
2
+
150
6
2
(Choice C)
C
μ
x
ˉ
A
−
x
ˉ
B
=
21
σ
x
ˉ
A
−
x
ˉ
B
=
7
2
+
6
2
250
μ
x
ˉ
A
−
x
ˉ
B
σ
x
ˉ
A
−
x
ˉ
B
=21
=
250
7
2
+6
2
(Choice D)
D
μ
x
ˉ
A
−
x
ˉ
B
=
21
σ
x
ˉ
A
−
x
ˉ
B
=
7
2
100
+
6
2
150
μ
x
ˉ
A
−
x
ˉ
B
σ
x
ˉ
A
−
x
ˉ
B
=21
=
100
7
2
+
150
6
2
The mean and standard deviation (in ) of the sampling distribution of the difference in sample means \(\sigma_1\) - \(\sigma_2\) = (7)² ÷100+ 6² /150.
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given:
Level A:
S.D. = 7
Level B: Mean = 20
S.D. = 6
So, \(\nu_1\) = 22
\(\nu_2\) = 20
Then, \(\nu_1\) - \(\nu_2\) = 22-20=2
and, \(\sigma_1\) - \(\sigma_2\)
= (7)² ÷100+ 6² /150
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Are the triangles similar?choice:Not similar.Yes, by the SSS rule.Yes, by the AA rule.Yes, by the SS rule
Answer:
To find whether the given triangles are similar, if it is similar, then to define the rule used.
Explanation:
From the two given triangles, two corresponding angles are equal.
That is,
\(\begin{gathered} \angle C=\angle C\text{'} \\ \angle D=\angle D\text{'} \end{gathered}\)Since two corresponding angles the equal, the other angle of the triangles must be equal to each other.
\(\angle A=\angle A\text{'}\)we have that,
The AA criterion for triangle similarity states that if the three angles of one triangle are respectively equal to the three angles of the other, then the two triangles will be similar.
By AA rule, we conclude that the triangles are similar.
Answer is: Yes, by the AA rule.
I'm in 6th grade what is 9p=72 solved mentally
Answer:
p=8
Step-by-step explanation:
Brennan knew his parents had set up their will some years ago. Neither he nor his sister, Maureen, had ever discussed the will with their parents. When both parents passed away, they met with the family lawyer about the will. What they found was that the money their parents had been giving them over the last few years was a gift and part of their estate planning. The gifts reduced the size of the estate to ensure the value of the estate upon their passing would be under the tax-free limit.
Their parents had not really talked with Brennan or Maureen about how the “gift” money they had been receiving would affect their final inheritance. As they listened to
the estate lawyer give them details of their inheritance, they were shocked to learn there was less than what they had thought.
1. Discuss your thoughts on how Brennan’s and Maureen’s parents handled the informationin the will prior to their passing. Should the parents have explained more clearly about the “gift” money and how it affected their inheritance?
2. What responsibility did Brennan and Maureen have to discuss the will with their parents?
3. What experience do you have with a family member’s will? How would you approach
the topic of writing a will with a family member?
1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.
2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.
3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.
1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.
2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.
3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.
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