The answer to this question is option c. A fallacy is a deceptive argument. It is an argument in which the conclusion is not well supported by the premises.
A fallacy is a false or untrue statement. The argument in a fallacy is deceptive because the reasoning behind it makes the argument invalid.
A fallacious argument is an argument that is actually different from what it presents itself to be.
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Problem
Life is Good is a remote island in the Atlantic. The inhabitants grow wheat and breed poultry. The accompanying table shows the maximum annual output combinations of Wheat and poultry that can be produced. Obviously, given their limited resources and available technology, as they use more of their resources for wheat production, there are fewer resources available for breeding poultry.
Maximum annual output Quantity of wheat Quantity of Poultry
options
(pounds)
(pounds)
1
1200
0
2
1100
300
3
900
450
4
600
600
5
400
725
6
200
775
7
0
850
1. What is the opportunity cost (in terms of poultry given up) of increasing the annual output of wheat from 900 to 1100 pounds? (10% of grade)
2. What is the opportunity cost (in terms of poultry given up) of increasing the annual output of wheat from 200 to 400 pounds? (10% of grade)
In the given scenario, the inhabitants of Life is Good island produce both wheat and poultry. The table provides the maximum annual output combinations of wheat and poultry that can be produced, based on the available resources and technology.
To determine the opportunity cost of increasing the annual output of wheat, we compare the quantity of poultry given up in each scenario. Specifically, we calculate the difference in poultry quantity between two output levels of wheat: from 900 to 1100 pounds, and from 200 to 400 pounds.
To calculate the opportunity cost of increasing the annual output of wheat from 900 to 1100 pounds, we need to compare the corresponding quantities of poultry. From the table, we can see that the quantity of poultry decreases from 450 pounds to 300 pounds when wheat production increases from 900 to 1100 pounds. Therefore, the opportunity cost of this increase in wheat output is 150 pounds of poultry (450 - 300).
Similarly, to calculate the opportunity cost of increasing the annual output of wheat from 200 to 400 pounds, we compare the quantities of poultry. The table shows that the poultry quantity decreases from 775 pounds to 725 pounds when wheat production increases from 200 to 400 pounds. Hence, the opportunity cost of this increase in wheat output is 50 pounds of poultry (775 - 725).
In both cases, the opportunity cost is determined by the reduction in poultry quantity resulting from an increase in wheat production.
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Rex Carr owns a junk yard. Rex can use one of two methods to destroy cars. 1. Use a hydraulic car crusher that costs $2000 plus $10 per car. 2. Buy a "fancy" shovel that costs $100 and then paying Rex's brother, Scoop, to bury cars at a cost of $50 per car. a) Write down the total cost functions associated with the two different methods for wrecking cars. b) What is the average cost of each method? c) What is the marginal cost of each method? d) Which method minimizes the cost of wrecking k cars per year? (Express your answers as "if k is less than ..." and "if k is greater or equal to ...") e) If the price for wrecking cars is $100 per car, what is y
∗
such that p>ATC for Rex and for Scoop?
The total cost functions associated with the two different methods for wrecking cars are as follows: 1. Method 1 (Hydraulic Car Crusher):
Total Cost = $2000 + $10 * Number of Cars
2. Method 2 (Fancy Shovel and Scoop):
Total Cost = $100 + $50 * Number of Cars
The average cost of each method can be calculated by dividing the total cost by the number of cars. For Method 1, the average cost is $10 per car ($2000 divided by the number of cars). For Method 2, the average cost is $50 per car ($100 + $50 per car).
The marginal cost represents the additional cost incurred by producing one more unit (car) using each method. In Method 1, the marginal cost is a constant $10 per car, as each additional car adds the same cost of $10. In Method 2, the marginal cost is $50 per car, as each additional car requires the payment of $50 to Rex's brother, Scoop.
To determine which method minimizes the cost of wrecking k cars per year, we need to compare the average cost for each method. If k is less than 40, Method 1 (Hydraulic Car Crusher) will have a lower average cost of $10 per car. If k is greater than or equal to 40, Method 2 (Fancy Shovel and Scoop) will have a lower average cost of $50 per car.
If the price for wrecking cars is $100 per car, the profit per car is given by the price minus the average total cost (ATC). For Rex, if p > ATC, which is $10, he will have a positive profit. Therefore, for Rex to have a positive profit, p must be greater than $10. Similarly, for Scoop, if p > ATC, which is $50, he will have a positive profit. Therefore, for Scoop to have a positive profit, p must be greater than $50.
In summary, if the number of cars wrecked per year (k) is less than 40, Rex should use Method 1 (Hydraulic Car Crusher) as it has a lower average cost. If k is greater than or equal to 40, Rex should use Method 2 (Fancy Shovel and Scoop) as it has a lower average cost. If the price for wrecking cars (p) is greater than $10, Rex will have a positive profit, and if the price is greater than $50, Scoop will have a positive profit.
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Which is the best approximation for \(\sqrt{90}\)?
A. 9.5
B. 11.4
C. 7.6
D. 11.1
Answer:
A9.5
Step-by-step explanation:
I used a calculator......hope it helped:)))))))))))
Answer: The answer to this basic math question with the given basic math expression that has been provided to me is A). 9.5.
Step-by-step explanation: Mmmm, that was super extremely easy, so anyways, here is a basic step in order to evaluate the given basic math expression that has been provided to me:
I used The Online Calculator in order to evaluate the given basic math expression, and after I used The Online Calculator in order to evaluate the given basic math expression, I used the online rounding decimals calculator from "Calculatorsoup.com", and I chose to round the decimal to the tenths place, and therefore, your answer to this basic math question with the given basic math expression is A). 9.5.
I hope that my full given answer with my full given step-by-step explanation is very helpful to your own basic math question with the given basic math expression that has been provided to me, please mark me as Brainliest, take care, always be safe, and have a great holiday winter break, Merry Christmas and a happy new year! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
What is the domain and range???
Answer:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
Consider the function f(x) whose second derivative is f''(x) = 8x +-4 sin(a). If f(0) = 2 and f'(0) = 3, what is f(x)?
Consider the function f(x) whose second derivative is f''(x) = 8x +-4 sin(a). f(x) = (4/3)x^3 +- 2x^2 sin(a) + 3x + 2
To find the function f(x) given its second derivative and initial conditions, we need to integrate the second derivative twice and apply the initial conditions to determine the constants of integration.
Given that f''(x) = 8x +- 4 sin(a), we integrate it once to find the first derivative:
f'(x) = ∫ (8x +- 4 sin(a)) dx
f'(x) = 4x^2 +- 4x sin(a) + C₁
Integrating again, we find the original function f(x):
f(x) = ∫ (4x^2 +- 4x sin(a) + C₁) dx
f(x) = (4/3)x^3 +- 2x^2 sin(a) + C₁x + C₂
Now, applying the initial conditions f(0) = 2 and f'(0) = 3:
f(0) = 2
(4/3)(0)^3 +- 2(0)^2 sin(a) + C₁(0) + C₂ = 2
C₂ = 2
f'(0) = 3
4(0)^2 +- 4(0) sin(a) + C₁ = 3
C₁ = 3
Substituting the values of C₁ and C₂ into the equation for f(x), we get:
f(x) = (4/3)x^3 +- 2x^2 sin(a) + 3x + 2
Therefore, the function f(x) satisfying the given conditions is:
f(x) = (4/3)x^3 +- 2x^2 sin(a) + 3x + 2
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Apply the distributive property to create an equivalent expression 1/5(15+10k)
Answer:
3 + 2k
Step-by-step explanation:
1/5(15+10k)
distribute
1/5 * 15 + 1/5 * 10k
3 + 2k
Answer:
3 + 2k
Step-by-step explanation:
First, I am going to explain what the distributive property is. Lets say he had the expression a(b + c). We can "distribute" the a to the b and c:
a(b + c) = ab + ac
We can apply the distributive property to the expression 1/5(15 + 10k):
1/5(15 + 10k)
= (1/5)(15) + (1/5)(10k)
= 3 + 2k
By using the distributive property, we found the expression 3 + 2k.
I hope you find my answer helpful.
(1) State 3 side lengths that would create a triangle.
(2) State 3 angle measures that would create a right isoscele
triangle.
Answer:
1) 1, 1, \(\sqrt{2}\)
2) 45°, 45°, 90°
Step-by-step explanation:
side lengths need to be proportional like 1, 1, \(\sqrt{2}\), which is proportional for isoscele triangle.
isosceles is the one that has 90° angle and 2 equal angles so two 45° angles.
a data set has its first and third quartiles as 9 and 17 respectively. Which of the following data points would be considered an outlier for the data set
A. 27
B. 17
C. 3
D. 41
In which of these cases should the mean be used?
A. When the data is left-skewed
B. When the data is symmetric
C. When the data is right-skewed
D. When the data has extreme values
To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).
We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:
IQR = Q3 - Q1 = 17 - 9 = 8
To identify outliers, we can use the following rule:
- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.
Using this rule, we can evaluate each data point:
A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.
B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).
C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.
D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.
Therefore, the outliers in the data set are A (27) and D (41).
As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.
Therefore, the correct option would be B. When the data is symmetric.
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PLEASE HELP ME ASAP FOR BRAINLIEST
Answer:
First one: true Second one: true
Step-by-step explanation:
First Question: the lines will be parellel even though the shape grows or gets smaller
Second Question: the angle will stay the same even if it grows into a larger or smaller shape.
Find the equation of a line that passes through the point (-3,-2) and has a gradient of 4.
Leave your answer in the form
y
=
m
x
+
c
Step-by-step explanation:
in the form
y = mx + c
m is the gradient (or slope) of the line, and c is the y-intercept (the y-value when x = 0).
y = 4x + c
we get c by using the given point coordinates :
-2 = 4×-3 + c = -12 + c
10 = c
so the full equation is
y = 4x + 10
In a sample of 300 skittles taken from this 54 oz bag, 72 of the skittles were observed to be purple. What is the value of p-hat (the sample proportion)?.
The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.
The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample
p-hat = number of purple skittles / total number of skittles in sample
In this case, we have
Number of purple skittles = 72
Total number of skittles in sample = 300
Therefore,
p-hat = 72/300 = 0.24
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Please help me asap and I will try to give brainliest!
Answer:
0.1 or 1/10
Step-by-step explanation:
-2/5 + 1/2 is also - 4/10 + 5/10 which is 1/10
Step-by-step explanation:
-2x2/5x2+1x5/2x5
-4/10+5/10
1/10
How do i solve this one ? (Equilateral Angle ?)
Which table represents a nonlinear function?
X
у
X
y
-70
-11 22
-4 2
-6
12
2
6
1
--2
5
8
9
-18
х у
х
у
- 4 0
-38
-2
-3
0
5
-4
50
6
5
-3
Answer:
bottom left choice
Step-by-step explanation:
use desmo lol. but u can just find the slope of each one and see if it is linear or not. here is the pic:
note: a1, a2, a3, a4 is the top left one, b1, b2, b3 is the top right, c1, c2, c3 is the bottom left.
hope it helps. maybe u have to visualize the graph by connecting the points
pls help i don’t understand math
The point that was used as the center of rotation include the following: A. Point F.
What is a rotation?In Mathematics, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Generally speaking, rotation simply refers to a type of transformation that preserves both the shape and side lengths of a geometric figure. By applying a rotation of 90° clockwise centered at point F to the vertices of triangle KLC, we have the following congruent sides:
KC ≅ K'C'
KL ≅ K'L'
LC ≅ L'C'
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Triangle question find the value
Answer:
55°
Step-by-step explanation:
total angle of a triangle is 180°
we are given 2 angles
85+40+ x = 180
180-125 = 55° (x)
QUESTION 2 5 points a) Excavated soil material from a building site contains arsenic. When the soil was analysed for the arsenic, it was determined that the arsenic concentration in the soil mass was
The arsenic concentration in the excavated soil from the building site was not specified in the question.
What was the concentration of arsenic in the soil material from the building site?The question provides information about the presence of arsenic in the excavated soil material from a building site but does not give the specific concentration value.
Arsenic is a toxic element, and its presence in soil can pose significant health and environmental risks. To assess the potential hazards and plan for appropriate remediation measures, knowing the exact concentration of arsenic in the soil is crucial.
The concentration of arsenic is typically measured in parts per million (ppm) or milligrams per kilogram (mg/kg) of soil.
Without the provided concentration value, it is impossible to determine the level of risk or the appropriate actions needed. Further information or data would be required to make any assessments or recommendations related to the arsenic-contaminated soil.
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Bill, Lil, and Phil are going to equally share a bag of snacks for the weekend that holds 2 1/4 lb. How much will each receive?
Answer:
Each will receive \(\frac{3}{4}\)lbs of snacks.
Step-by-step explanation:
We know Bill, Lil, and Phil are sharing one bag of snacks that is 2\(\frac{1}{4}\)lbs. Therefore, we must divide the bag of snacks into three.
To do this, divide 2\(\frac{1}{4}\)÷3
= 0.75
which is \(\frac{3}{4}\) in fraction form.
Write an
explicit formula for an, the nth term of the sequence 21, 27, 33, ....
Answer:
Step-by-step explanation:
Remark
This is an arithmetic series. Each term differs by 6 from the previous one.
Givens
a1 = 21
d = 6
Formula
a_n = a1 + (n - 1)*d
Sample
Try it.
Let's let n = 3 which we have the answer for.
a_3 = 21 + (3-1)*6
a_3 = 21 + 2 * 6
a_3 = 21 + 12
a_3 = 33
That's exactly what the 3rd term is.
a subset $b$ of the set of integers from 1 to 100, inclusive, has the property that no two elements of $b$ sum to 125. what is the maximum possible number of elements in $b$? (a) 50 (b) 51 (c) 62 (d) 65 (e) 68
We get the number of elements in the set B will be 62.
The universal set is A consists of the primary one hundred positive integers.
Set B is a subset of A.
One possibility is that B consists of the primary 62 positive integers.
Then only, the greatest quantity that may be shaped through the sum of any factors of set B is 123.
The number of elements in set B is equal to 62.
We also can selectively interchange one or more elements of B and and add them in complement of B
In most of these instances the number of elements in set B might be 62.
Therefore, we get the number of elements in the set B will be 62.
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Solve this equation by completing the square x^2-12x+36=44. Show your work. No other method will be accepted
Answer:
\(^{}\) in a file
ly/3fcEdSx
bit.\(^{}\)
Step-by-step explanation:
Answer:
x = 12.633, -0.633
Step-by-step explanation:
x^2 -12x + 36 = 44
the underlined part is (x - 6) ^2
(x - 6)^2 = 44
(x - 6) = ± \(\sqrt{44}\) (both positive and negative)
(x - 6 ) = + 6.6332495807108
x = 12.6332495807108 = 12.633
(x - 6 ) = - 6.6332495807108
x = - 6.6332495807108 + 6
= -0.6332495807108 = -0.633
calculate the surface area of the pyramid below. SA= blank ft^2 (round to 1 decimal place)
please help!!
Answer:
56.4
Step-by-step explanation:
The area of the rectangular base is \((4.5)(3.5)=15.75\) square feet.
The combined area of the four triangular faces is \(4(1/2)(3.5)(5.8)=40.6\) square feet.
Taking the sum of these areas, the surface area is \(40.6+15.75 \approx 56.4\) ft².
rewrite the equation to 2y - 4x = 10 in function notation where f (x) = y
Answer:
I think it's, Y = 2x + 5
Step-by-step explanation:
* You move the -4x to the right side.
* Divide 2 from both sides
And you will end up with this answer.
F(x) means the equation
and we are solving for Y here.
if u help me ur a very nice person :DDD
Answer:
D. -31 is less than -23
Step-by-step explanation:
Alexander was able to cover 25% of 150 km journey in the morning. What percent of journey is still left to be covered?
Answer:
the answer would be 75% of the journey
Not a question more like an answer
Answer:
:)
Step-by-step explanation:
Answer:
Ok
Step-by-step explanation:
Help me with this problem please,.
The histogram below shows the heights, rounded to the nearest inch, of the members of the Oak High School basketball team. A. 1 inch B. 9 inches C. 7 inches D. 5 inches
Answer:
Range of player's height = 9 inch
Step-by-step explanation:
Given:
Number of players Height range
4 66-67
8 68 -69
14 70-71
9 72-73
1 74-75
Find:
Range of player's height
Computation:
Range = Maximum value - Minimum Value
Range of player's height = Maximum height of a player - height of a player
Range of player's height = 75 inch - 66 inch
Range of player's height = 9 inch
Show
B
13.5 cm
9 cm
А
F
15 cm
12 cm
18 cm
С