Answer
the answer is x = 9 root 3
Jennifer made these measurements on ABC,BC must be-?
Answer:
between 10 and 12
Step-by-step explanation:
Given the measure of angles:
m∠B = 70°
m∠C = 60°
m∠A = 50°
We know m∠B = 70° because the sum of interior angles in a triangle is equal to 180°.Following this information, since the side lengths are directly proportional to the angle measure they see:
Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.
Angle C is the smallest angle, so the side AB is the shortest side.
Therefore, side BC must be between 10 and 12 inches.
Policies Current Attempt in Progress On May 1, 2021, Sheffield Company sells office furniture for $300000 cash. The office furniture originally cost $746800 when purchased on January 1, 2014. Depreciation is recorded by the straight-line method over 10 years with a salvage value of $80200. What gain should be recognized on the sale? (Hint: Use 7.333333 for years used in calculation.) O $44540. O $22220. O $84080. O $42040. Save for Later -/5 = 1 Attempts: 0 of 1 used Submit Answer
To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.
First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.
Depreciation per year = (Cost - Salvage Value) / Useful Life
Depreciation per year = ($746,800 - $80,200) / 10 years
Depreciation per year = $66,160
Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.
Accumulated Depreciation = Depreciation per year × Years
Accumulated Depreciation = $66,160 × 7.33 years
Accumulated Depreciation = $484,444.80
Now, we can calculate the book value of the furniture:
Book Value = Cost - Accumulated Depreciation
Book Value = $746,800 - $484,444.80
Book Value = $262,355.20
Finally, we can calculate the gain on the sale:
Gain on Sale = Sale Price - Book Value
Gain on Sale = $300,000 - $262,355.20
Gain on Sale = $37,644.80
Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.
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The gain that should be recognized on the sale of the office furniture is $84,080.
The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.
Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.
For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420
Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.
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List two multiples of 17
What is(are) the intercept(s) of the exponential function shown below?
Answer:
option D
Step-by-step explanation:
for x intercept
the curve crosses the x asis at 1
then for y intercept it crosses the y axis at-2
that's all...have fun
What is the perimeter of a square with side length:
3cm
Answer:
12
Step-by-step explanation:
Does anybody have the answer to this???? Thank You
Answer:
Step-by-step explanation:
h(4)=2w+3
4=2w+3
Collect like terms (c. I. T)
4-3=2w
1=2w
Divide both sides by 2(d.b.s)
1/2=2w/2
0.5=w
h=0.5w
You weigh six packages and find the weights to be 28, 22, 52, 25, 49, and 46 ounces. If you include a package that weighs 142 ounces, which will increase more,
the median or the mean?
A. The median and mean are affected the same amount.
OB. The median and the mean will stay the same.
C. The median increases more.
D. The mean increases more.
Answer:
chk photo
Step-by-step explanation:
pleasseeee helppppppp
Let X = the score out of 3 points on a randomly selected quiz in a Prob
& Stat course. The table gives the probability distribution of X.
Value
0
1
2
3
Probability
0. 05
0. 15
0. 60
A) Find the missing value for P(X = 1) in the probability distribution.
B) P(X 2 2) =
C) P(X > 2) =
D) The probability of "At least 2" is equivalent to
A. The missing value for P(X = 1) is 0.20.
B. The value of P(X ≤ 2) is 0.85.
C. The value of P(X > 2) is 0.15.
D. The probability of "At least 2" is equivalent to P(X >= 2), which is 0.75.
In probability theory, a probability distribution is a function that assigns probabilities to each possible value of a random variable.
In this Problem, we have a probability distribution for the score on a quiz, with X being the random variable and the table providing the probability of each possible score. In this answer, we will use the given probability distribution to answer the questions posed.
A) Find the missing value for P(X = 1) in the probability distribution.
To find the missing value for P(X = 1), we need to use the fact that the sum of the probabilities for all possible values of X must be equal to 1. Therefore, we can set up an equation:
P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 1
Substituting in the given probabilities, we get:
0.05 + P(X = 1) + 0.60 + 0.15 = 1
Simplifying, we get:
P(X = 1) = 0.20
Therefore, the missing value for P(X = 1) is 0.20.
B) P(X ≤ 2) =
To find P(X ≤ 2), we need to add up the probabilities of X being less than or equal to 2. This is equivalent to:
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
Substituting in the given probabilities, we get:
P(X ≤ 2) = 0.05 + 0.20 + 0.60 = 0.85
Therefore, P(X ≤ 2) is 0.85.
C) P(X > 2) =
To find P(X > 2), we need to add up the probabilities of X being greater than 2. This is equivalent to:
P(X > 2) = P(X = 3)
Substituting in the given probabilities, we get:
P(X > 2) = 0.15
Therefore, P(X > 2) is 0.15.
D) The probability of "At least 2" is equivalent to P(X >= 2)
To find the probability of "At least 2," we need to add up the probabilities of X being greater than or equal to 2. This is equivalent to:
P(X ≥ 2) = P(X = 2) + P(X = 3)
Substituting in the given probabilities, we get:
P(X ≥ 2) = 0.60 + 0.15 = 0.75
Therefore, the probability of "At least 2" is equivalent to P(X ≥ 2), which is 0.75.
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What defines the symbols used in architectural plans?.
The legend defines architectural symbols and notations used in the plans.
Floor plan symbols make up their own language, just as construction workers have their own vocabulary that they use to communicate when working on projects as it’s essential for architects, designers and builders to understand this language, a floor plan includes an important element called a legend, which acts as a key that helps viewers interpret the drawing.
Therefore, the The legend defines architectural symbols and notations on the plan. Many standard symbols usually appear there for specific projects. However, there can be variations in how symbols look and what they represent, which makes consulting the legend for each project is essential.
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Solve the equation below for c. Fill in the blanks to give the steps used in this process.
P = 2c + 5
need answer ASAP
The equation when solved for the variable 'c' is c = P-5/ 2
What is subject of formula?A subject of formula can be defined as the variable that is written or denoted in terms of other variables in an equation or expression.
It is known as the variables being worked out in an equation. It is allowed to stand on its own over the equality sign.
Given the equation;
P = 2c + 5
To make the variable 'c' the subject of formula, we take the following steps:
Take 5 over the equality sign
P - 5 = 2c
Now, divide both sides by the coefficient of 'c' which is 2
2c/ 2 = P - 5/ c
Find the quotient
c = P-5/ 2
Thus, the equation when solved for the variable 'c' is c = P-5/ 2
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Romero trained 15.5 hours in one particular week. He spent 3/4 of these hours running, while thr rest of the time he spent weight training. How many hours did Romero spend weight training that week.
Answer:
3.875 hours (you might have to round)
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
3 7/8 or 3.875 hoursStep-by-step explanation:
Total training hours = 15.5 hoursRunning = 3/4 training hoursWeight training = ?Hours of weight training:
15.5 - 15.5*3/4 = 15.5( 1 - 3/4) = 15.5*1/4 = 155/10*1/4 = 155/40 = 3 35/40 = 3 7/8 or 3.875 hourshelp me please consider the diagram of supplementary angles. what is the value of x
Answer:
x = 33
Step-by-step explanation:
You want to know the value of x, given that angles 104°, x°, and (x+10)° form a linear angle.
Linear angle
The measure of the linear angle is 180°. The three parts of it have that total.
104° +x° +(x+10)° = 180°
2x = 66 . . . . . . . . divide by °, subtract 114
x = 33 . . . . . . . . . divide by 2
The value of x is 33.
<95141404393>
2x - 6y = 6
6x- 4y = 2
Answer:
3/7y= -8/7
Step-by-step explanation:
reduce the greatest common factor on both sides of th equation
\( {18e}^{ - 3x} \geqslant 0\)
PLZ help
Greetings from Brasil...
Note the graph of the function eˣ (or e⁻ˣ). We conclude that for any value of X, the result will be between 0 and +∞.\
So there is no value for X that the result of m.eˣ (or m.e⁻ˣ) is negative.
So you can answer:
For the equation of the statement of the question, with any value of X, we will always obtain a number greater than zero
S = {X | X∈ ℝ}(OBS: we'll never get zero. We can get very close, but never zero)
Solve the inequality. Graph the solution. |4x+6| ≤ 30
Answer:
− 9 ≤ x ≤ 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Read the problem below about Uncle Ralph. You are asked to solve it in two different ways and then reflect on your method of solution.
Uncle Ralph says that if you can tell him the number of each type of coin in his pocket, then you can have the money. He gives you this information.
• He has only dimes and quarters.
• He has 17 coins in his pocket.
* The coins are worth $3.35
Can you get Uncle Ralph's money?
a. Solve the problem graphically. (Desmos?)
b. Solve the problem algebraically.
The total value of all the coins in Uncle Ralph's pocket is $3.35, which is represented by the number of each sort of coin.
what is solution ?addressing a problem by a method or action; giving a justification for the remedy. a number of different variable values that all agree with an equation, specifically The solution is any value of a variable in an equation that makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal and so fulfills the equality. The act of solving an equation entails locating its solution or solutions. One approach to express a solution's concentration is as a percentage of a solute in the solvent. The mass of the solute to the mass of the solution ratio or the mass of the solute to the mass of the solution ratio are two other ways to calculate the percentage.
given
q represents the number of quarter
17 - q represents the number of dimes
0.25q + 0.10(17 - q) = 3.35
The total value of all the coins in Uncle Ralph's pocket is $3.35, which is represented by the number of each sort of coin.
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Mandatory upload of work for this problem. Be sure to put the test question number at the start of your work. In the upload, your work must be legible (meaning both your handwriting and the image of the sheet) and logically show how you obtained your answer. The formula of allicin, the compound responsible for the smell of garlic, is C 6
H 10
OS 2
. Write each answer with the correct number of sig figs. The molar mass of allicin is g/mol. A sample of allicin contains 3.06×10 24
atoms of carbon. a) How many moles of allicin are present? mol b) How many grams of allicin are present?
a)Moles of allicin = (3.06 × \(10^(24)\) carbon atoms) / (6.022 × \(10^(23)\)atoms/mol) = 5.08 moles (rounded to three significant figures).
b)Molar mass of allicin = (6 × 12.01 g/mol) + (10 × 1.008 g/mol) + (16.00 g/mol) + (2 × 32.07 g/mol) = 162.32 g/mol (rounded to four significant figures).
a) The formula of allicin, C6H10OS2, tells us that there are 6 carbon atoms in one molecule of allicin. We are given that there are 3.06 × 10^24 carbon atoms. To find the number of moles, we divide the number of carbon atoms by Avogadro's number (6.022 × \(10^(23)\)):
Moles of allicin = (3.06 × \(10^(24)\) carbon atoms) / (6.022 × \(10^(23)\) atoms/mol) = 5.08 moles (rounded to three significant figures).
b) The molar mass of allicin can be calculated by adding up the atomic masses of carbon (C), hydrogen (H), oxygen (O), and sulfur (S) in the formula:
Molar mass of allicin = (6 × atomic mass of carbon) + (10 × atomic mass of hydrogen) + (atomic mass of oxygen) + (2 × atomic mass of sulfur)
Using the atomic masses from the periodic table (carbon: 12.01 g/mol, hydrogen: 1.008 g/mol, oxygen: 16.00 g/mol, sulfur: 32.07 g/mol), we can calculate the molar mass:
Molar mass of allicin = (6 × 12.01 g/mol) + (10 × 1.008 g/mol) + (16.00 g/mol) + (2 × 32.07 g/mol) = 162.32 g/mol (rounded to four significant figures).
To find the grams of allicin, we multiply the number of moles obtained in part (a) by the molar mass:
Grams of allicin = (5.08 moles) × (162.32 g/mol) = 821.86 grams (rounded to three significant figures).
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Find each angle measure. SEE EXAMPLE 3
19. m21
20. m22
2.
123°
1
SOWAT
Step-by-step explanation:
as , sum of both the angles on the same side of transversal is 180°
so,
Angle 2 + angle 5 = 180°
123° + angle 2 = 180°
Angle 2 = 180° - 123° = 57°
angle 2 = 57°
and
angle 1 = 123° ( Alternate Interior Angle )
hope this answer helps you dear...take care!
Sophie earns a weekly retainer of $355 plus a commission of 10% on sales. What are Sophie’s total earnings for each week if she made the following sale: $760
Answer:
431Step-by-step explanation:
760:100*10+355 =
7.6*10+355=
76+355=
431
Triangle ABC has a perimeter of 22cm.
AB=8cm
BC=5cm
By calculation deduce, whether triangle ABC is a right angled triangle
Answer:
Step-by-step explanation:
perimeter=22
AB+BC+AC=22
8+5+AC=22
AC=22-13
AC=9
Apply the Pythagorean theorem:
AB²+AB²=AC²
8²+5²=64+25=89
AC²=9²=81
no it is not a right triangle because it failed the Pythagorean theorem
using the net below, find the surface area of the triangular prism.
4cm
4cm
7cm
5cm
5cm
8cm
PLEASE HELP
Answer:
\(\boxed{\underline{\tt Surface\: area= 123 cm^2}}\)
Step-by-step explanation:
Surface area of the triangular prism:
\(\tt [(5\times4)+(7\times 5)+(8\times 5)+1/2(7\times 4)+1/2(7\times4)] cm^2\)
\(\tt [20+35+40+14+14] cm^2\)
\(\tt [60+63]cm^2\)
\(\tt 123cm^2\)
~
g what does t-statistic indicate? the standard error of the sample estimate the deviation of the sample estimate from the hypothesized value. the value of the sample estimate. the deviation of the sample estimate from 0.
The t-statistic is a measure of how far the sample estimate deviates from the hypothesized value in terms of standard error.
The t-statistic indicates the deviation of the sample estimate from the hypothesized value, relative to the standard error of the sample estimate.
It is used to determine the significance of a sample estimate and can be calculated using the following formula: t = (sample estimate - hypothesized value) / standard error of the sample estimate)
The t-statistic allows us to compare the sample estimate to a theoretical distribution (t-distribution) to determine the likelihood that the observed deviation occurred by chance alone.
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A flower pot is approximately in the shape off a cylinder. The diameter is 10 inches and the height is 6 inches. Find the surface area off the flower pot round to the nearest inch
The surface area of the cylindrical flower pot to the nearest inch is equal to \(346\;in^2\)
Given the following data:
Diameter = 10 inches.
Height = 6 inches.
Radius = \(\frac{diameter}{2} =\frac{10}{2}\) = 5 inches.
How to calculate surface area.Mathematically, the surface area (SA) of a cylinder is given by this formula:
\(S.A = 2\pi rh + 2\pi r^2\)
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
\(S.A = 2\pi (5)(6) + 2\pi (5)^2\\\\S.A =188.52+157.1 \\\\S.A = 345.62\\\\S.A=346\;in^2\)
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At a five-star restaurant, a waiter earns a total of t dollars for working h hours in which he receives 198 in tips and makes 2.50 per hour.
b. If the waiter earned a total of 213 , how many hours did he work?
To find the number of hours the waiter worked, subtract the tip amount (198 dollars) from the total earnings (213 dollars) to get the base pay of 15 dollars.
Divide the base pay by the hourly wage (2.50 dollars per hour) to determine that the waiter worked for 6 hours.
To solve this problem, we need to use the given information and set up an equation:
Let's assume the total earnings of the waiter for working h hours is t dollars.
Given:
Tips received = 198 dollars
Hourly wage = 2.50 dollars per hour
Total earnings = 213 dollars
We can set up the equation as follows:
Total earnings = Base pay + Tips
213 = Base pay + 198
To find the base pay, we subtract the tips received from the total earnings:
Base pay = 213 - 198
Base pay = 15 dollars
Now, we can use the base pay and the hourly wage to calculate the number of hours worked:
Number of hours = Base pay / Hourly wage
Number of hours = 15 / 2.50
Number of hours = 6 hours
Therefore, the waiter worked for 6 hours to earn a total of 213 dollars.
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Answer: a. total amount the waiter earns for x hours is 2.50
b. the waiter worked for 6 hours.
The given information states that a waiter earns a total of t dollars for working h hours, in which he receives 198 in tips and makes 2.50 per hour.
To find out how many hours the waiter worked if he earned a total of 213 dollars, we can set up an equation based on the given information.
Let's denote the number of hours the waiter worked as x.
According to the given information, the waiter earns 2.50 per hour. Therefore, the amount he earns for x hours is 2.50x.
Additionally, the waiter receives 198 dollars in tips.
So, the total amount the waiter earns for x hours is 2.50x + 198.
According to the question, the waiter earned a total of 213 dollars.
Setting up the equation, we have:
2.50x + 198 = 213
To solve this equation, we can start by subtracting 198 from both sides:
2.50x = 213 - 198
Simplifying, we get:
2.50x = 15
Next, we can divide both sides by 2.50 to solve for x:
x = 15 / 2.50
Evaluating the expression, we find:
x = 6
Therefore, the waiter worked for 6 hours.
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A food distributor ships, eight cases of regular soda for every three cases of diet soda Mrs. Locket asks students to find a number that could represent the number of cases of diet soda The food distributor could ship. which students completed the task correctly.
Barrie with 27 marina with 16 Jordan with 36 Hai with 20 Valerie with 11 in Coleman with 51
only Marina with 16 cases of diet soda is a valid answer, as it results in a whole number of cases. Therefore, Marina completed the task correctly
A natural number is what?In mathematics, natural numbers are employed for count and ranking. Ordinal numbers are used for organisation, while cardinal numbers are used for counting.
To count or sort them, use the zeros and on and on. An integer sum is one that is made up of only integers. not utilising fractions or decimals. Decimals or fractions are not what integers are.
Although there is only one type of integer Not all integers too are integers or unnatural numbers (just as all of them are natural numbers). For instance, the number -5 is neither a natural number nor an integer, but both.
Based on the given information, we know that the ratio of regular soda to diet soda being shipped is 8:3. We can use this ratio to find the number of cases of diet soda for each student who completed the task correctly.
Let's calculate the number of cases of diet soda for each student:
Barrie: 27
Number of cases of diet soda = 27 * 3/8 = 10.125 (rounded to the nearest whole number) - This is not a valid answer as the number of cases of diet soda should be a whole number.
Marina: 16
Number of cases of diet soda = 16 * 3/8 = 6
Jordan: 36
Number of cases of diet soda = 36 * 3/8 = 13.5 (rounded to the nearest whole number) - This is not a valid answer as the number of cases of diet soda should be a whole number.
Hai: 20
Number of cases of diet soda = 20 * 3/8 = 7.5 (rounded to the nearest whole number) - This is not a valid answer as the number of cases of diet soda should be a whole number.
Valerie: 11
Number of cases of diet soda = 11 * 3/8 = 4.125 (rounded to the nearest whole number) - This is not a valid answer as the number of cases of diet soda should be a whole number.
Coleman: 51
Number of cases of diet soda = 51 * 3/8 = 19.125 (rounded to the nearest whole number) - This is not a valid answer as the number of cases of diet soda should be a whole number.
Based on the calculations, only Marina with 16 cases of diet soda is a valid answer, as it results in a whole number of cases. Therefore, Marina completed the task correctly.
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i need help with this.. help please?? :,))
Answer:
C: adding on the right and subtracting on the left; n = 4S: dividing on the left and subtracting on the right; y = 2J: multiplying on the left and dividing on the right; b = 512Step-by-step explanation:
You want the solutions to three equations, and the error in the work shown.
Cullen: -6n +22 = -4n +14Seraphina: 8.4y -6.8 = -3.2y +16.4Jasper: 7/8b -32 = 3/4b +32CullenThe correct solution is ...
\(-6n+22=-4n+14\\\\22=2n+14\qquad\text{add $6n$}\\\\8=2n\qquad\text{subtract 14}\\\\\boxed{4=n}\)
Cullen's error was adding 4n to one side, and subtracting 4n from the other side of the equation. (The same operation must be done to both sides.)
SeraphinaThe correct solution is ...
\(8.4y -6.8 = -3.2y +16.4\\\\11.6y-6.8=16.4\qquad\text{add $3.2y$}\\\\11.6y=23.2\qquad\text{add 6.8}\\\\\boxed{y=2}\)
Seraphina's error was dividing one side of the equation by 11.6 and subtracting 11.6 from the other side. (The same operation must be done to both sides.)
JasperThe correct solution is ...
\(\dfrac{7}{8}b -32 = \dfrac{3}{4}b +32\\\\\dfrac{1}{8}b-32=32\qquad\text{subtract $\dfrac{3}{4}b$}\\\\\dfrac{1}{8}b=64\qquad\text{add 32}\\\\\boxed{b=512}\qquad\text{multiply by 8}\)
Jasper's error was multiplying one side of the equation by 8 and dividing the other side by 8. (The same operation must be done to both sides.)
Which of the following is the best description for this pair of angles?
Answer:
Acute
Step-by-step explanation:
Because angles which are less than 90 degrees are called acute angles
Since it is less than 90 degrees the right answer is acute
Find the area of this parallelogram. Be sure to include the correct unit in your answer. 8 in, 15 in, and 6 in
Answer:
90 in²
Step-by-step explanation:
The diagram isn't attached :
However, taking the base of the parallelogram, b as 15 in
The height as 6 in
And the Slant height as 8 in
The Area of a parallelogram is given as :
Area, A = Base, b multiplied by height, h
A = b * h
Hence, Area of the above parallelogram is:
A = 15 in * 6 in
A = 90 in²
I research or chooses a random sample of registered voters in Kingsville he found that three out of every five voters surveyed said they would vote for Miguel Miller for mayor if there are 80 eligible voters in Kentsville protects how many of these voters would choose Miguel Miller for mayor
Why would the sample Above be good for which to draw a valid inference?
a. The sample above is taken from a convenience sample there for the people who are easiest to reach answering the questions
B. The sample Bob is not a good one for which to draw a valid inference
C. The sample book was choosing randomly therefore each member of the population had a same chance of being selected
D. The Stemple above was taken from volunteers there for their responses were based on strong opinions