There are no fallacies of relevance committed by the given argument.
The following arguments commits fallacy: argumentum ad baculum. Argumentum ad baculum is a Latin phrase which means argument from a stick or appeal to force. It is a type of logical fallacy in which someone tries to persuade another person by using threats of force or coercion rather than using evidence or reasoning.
The above statement is an example of the argumentum ad baculum fallacy as it tries to use fear to convince people to join their protective organization. They are using the threat of potential losses to convince people to join. It is a manipulative strategy that attempts to scare people into joining by threatening the safety of their business.No fallacy is committed. There are no fallacies of relevance committed by the given argument.
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CAN SOMEONE PLEASE HELP ME OUT HERE with as much work as possible
URGENT PLEASE HELP!!
Given that f(x)=x^2+3x-7, g(x)=3x+5 and h(x)=2x^2-4, find each of the following. Solve each of the problems showing work.
f(g(x))
h(g(x))
(h-f) (x)
(f+g) (x)
Explain what method you used when had a squared term that had to be multiplied out.
For the given functions, f(x)=x²+3x-7, g(x)=3x+5 and h(x)=2x²-4, f(g(x))= 9x² + 30x + 33, h(g(x))= 18x² + 60x + 46, (h-f)(x)= x² - 3x + 3, (f+g)(x)= x² + 6x - 2.
Describe Function?In mathematics, a function is a mathematical object that takes an input (or several inputs) and produces a unique output. It is a relationship between a set of inputs, called the domain, and a set of outputs, called the range.
Formally, a function f is defined by a set of ordered pairs (x, y) where x is an element of the domain, and y is an element of the range, and each element x in the domain is paired with a unique element y in the range. We write this as f(x) = y.
Functions can be represented in various ways, such as algebraic expressions, tables, graphs, or verbal descriptions. They can be linear or nonlinear, continuous or discontinuous, and may have various properties such as symmetry, periodicity, and asymptotic behavior.
To solve these problems, we substitute the function g(x) for x in f(x) and h(x) and simplify the resulting expressions.
f(g(x)):
f(g(x)) = f(3x+5) = (3x+5)² + 3(3x+5) - 7 (using the definition of f(x))
= 9x² + 30x + 33
h(g(x)):
h(g(x)) = h(3x+5) = 2(3x+5)² - 4 (using the definition of h(x))
= 18x² + 60x + 46
(h-f)(x):
(h-f)(x) = h(x) - f(x) = (2x² - 4) - (x² + 3x - 7) (using the definitions of h(x) and f(x))
= x² - 3x + 3
(f+g)(x):
(f+g)(x) = f(x) + g(x) = x² + 3x - 7 + 3x + 5 (using the definitions of f(x) and g(x))
= x² + 6x - 2
When multiplying out a squared term, such as (3x+5)², we can use the FOIL method, which stands for First, Outer, Inner, Last. We multiply the first terms, then the outer terms, then the inner terms, and finally the last terms, and then add up the results. For example:
(3x+5)² = (3x)(3x) + (3x)(5) + (5)(3x) + (5)(5)
= 9x² + 15x + 15x + 25
= 9x² + 30x + 25
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Probability - Li has t toy bricks. She only has red bricks and blue bricks.
Answer:
The value of t is 16
please help!! there are multiple parts that i dont get
Answer:
(a, b) alternate interior angles at M and N, and at A and B are congruent
(c) the triangles are congruent by SAS and by ASA (and MX = NX)
(d) angles are no longer congruent, so the triangles are not congruent. The radii are given as congruent, but the chords cannot be shown congruent.
Step-by-step explanation:
Given same-size circles A and B, externally tangent to each other at X, each with chords MX and NX, you want to know what can be concluded if AM║BN, and what is unprovable if those segments are not parallel.
Same-size circlesThe circles being the same size means all the radii are congruent. This is shown by the single hash marks in the attached diagram.
(a) AnglesAlternate interior angles where a transversal crosses parallel lines are congruent. If AM║BN, this means the angles marked with a single arc are congruent, and the angles marked with a double arc are congruent. These are the alternate interior angles at transversal MN and at transversal AB.
(b) Corresponding partsIf AM║BN, in addition to the given congruences, we also know ...
all radii are congruent — given in the problem statementangles M and N are congruent (see above)angles A and B are congruent (see above)the vertical angles at X are congruent to each other and to angles M and N (isosceles triangles) (AMBN is a parallelogram.)(c) Congruent triangles∆AMX ≅ ∆BNX by SAS or ASA (take your pick).
(d) Not parallelIf AM and BN are not parallel, MN is not a straight line through X, the angles at A and B are not congruent, and the angles at M and N are not congruent. (We assume segment AB still goes through X.)
__
Additional comment
Triangles MAX and NBX are isosceles, so their base angles are congruent. If X lies on MN, then AM and BN must be parallel, since the vertical angles at X will be congruent along with the other base angles at M and N. If AM and BN are not parallel, point X cannot lie on segment AB.
A number is increased by 70% and the result is 42.5. What is the number?
A. 29.75
B. 27.5
C. 25
D. 17
E. 12.75
120% is 30 of what number
120 is 30 percent of 400
a committee of 4 is being formed randomly from the employees at a school: 6 administrators, 37 teachers, and 5 staff. what is the probability that all 4 members are teachers?
The probability that all 4 members are teachers from a committee of 4 being formed randomly from the employees at a school which includes 6 administrators, 37 teachers, and 5 staff is 0.0147.
How do we calculate the probability?The probability that all 4 members are teachers from a committee of 4 being formed randomly from the employees at a school which includes 6 administrators, 37 teachers, and 5 staff is:
Probability of selecting 1 teacher out of 37 teachers, P(teacher) = 37/482)
Probability of selecting 2 teachers out of 37 teachers, P(teacher and teacher) = 37/48 * 36/473)
Probability of selecting 3 teachers out of 37 teachers, P(teacher and teacher and teacher) = 37/48 * 36/47 * 35/464)
Probability of selecting 4 teachers out of 37 teachers, P(teacher and teacher and teacher and teacher) = 37/48 * 36/47 * 35/46 * 34/45
Now, the probability that all 4 members are teachers,P(all teachers) = P(teacher and teacher and teacher and teacher)= 37/48 * 36/47 * 35/46 * 34/45= 0.0147
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Given that the number 33,554,432 is equal to 2^25 , explain how you know that 33,554,432 is not a square number
First of all, perfect squares do not end in 2.
The exponent has to be an even number when 2 is the base. For example 2^8 = 64. 8 is an even number. So 64 is a square number.
The points (-7,4) and (r,19) lie on a line with slope 3. Find the missing coordinate r.
Answer:
r = -2
Step-by-step explanation:
We can use the slope formula to find r.
m = ( y2-y1)/(x2-x1)
3 = ( 19-4)/(r- -7)
3 = 15/(r+7)
Multiply each side by (r+7).
3 ( r+7) = 15
Divide each side by 3.
r+7 = 15/3
r+7 = 5
Subtract 7 from each side.
r+7-7 = 5-7
r = -2
Jamal found the median and interquartile range for the heights of players on the basketball team and the baseball team. The results are as follows.
Basketball:
median = 73
interquartile range = 5
Baseball:
interquartile range = 6
median = 72
Which of the following best describes how the data compared?
A Players on the basketball team are generally taller than players on the baseball team.
B Players on the baseball team are generally taller than players on the basketball team.
D There is less variation in heights on the baseball team than on the basketball team.
C Players on the baseball team are generally the same height as players on the basketball team.
Answer: The answer is A) Players on the basketball team are generally taller than players on the baseball team. This is the most likely conclusion we can draw based on the information given.
Step-by-step explanation:
We know that the interquartile range (IQR) is the range of the middle 50% of the data. So for the basketball team, the heights of 50% of the players lie within the range of 73 ± 2.5 (since the IQR is 5). Similarly, for the baseball team, the heights of 50% of the players lie within the range of 72 ± 3 (since the IQR is 6).
Comparing the medians, we see that the basketball team has a median height of 73, while the baseball team has a median height of 72.
Based on this information, we can conclude that:
A) Players on the basketball team are generally taller than players on the baseball team - this is the most likely answer, as the median height of the basketball team is higher.
B) Players on the baseball team are generally taller than players on the basketball team - this is not supported by the given information.
D) There is less variation in heights on the baseball team than on the basketball team - we cannot determine this based on the given information.
C) Players on the baseball team are generally the same height as players on the basketball team - this is not supported by the given information.
2,500 x 10
250,000/100
2,500/10
Which number is not equal to one of the following expressions
Answer:
b is not a part of that equation
At the beginning of a snowstorm, Ellie had 8 inches of snow on her lawn. The snow
then began to fall at a constant rate of 1 inch per hour. Assuming no snow was
melting, how much snow would Ellie have on her lawn 5 hours after the snow began
to fall? How much snow would Ellie have on her lawn after t hours of snow falling?
Answer:
If the snowfall began with 8 inches on Ellie's lawn and then continued to fall at a constant rate of 1 inch per hour, then after 5 hours, the amount of snow on her lawn would be:
8 inches (initial amount) + 1 inch per hour × 5 hours = 8 + 5 = 13 inches
Therefore, after 5 hours of snowfall, Ellie would have 13 inches of snow on her lawn.
If t represents the number of hours of snowfall, then the amount of snow on Ellie's lawn after t hours would be:
8 inches (initial amount) + 1 inch per hour × t hours = 8 + t inches
Therefore, after t hours of snowfall, Ellie would have 8 + t inches of snow on her lawn.
Which of the following statements is false?
08≤8
02≥8
02≤8
02<8
Answer:
the secound one
Step-by-step explanation:
actually im not sure
2 is greater than or equal to 8 is false
2 [tex]\geq[/tex] 8 is false because 2 isn't greater or equal to 8. The sign, >, means greater than or equal to.
match each of the following concepts with its definition: estimator answer 1 a random variable that depends on the information in the sample. estimate answer 2 a specific value of a random variable that approximates an unknown parameter. unbiasedness answer 3 when the expected value of the estimator is equal to the population parameter. bias answer 4 the difference between the expected value of the estimator and the population parameter. most efficient estimator answer 5 an unbiased estimator that has the minimum variance. relative efficiency
A relative efficiency greater than 1 means that the estimator is less efficient than the most efficient estimator. A relative efficiency less than 1 means that the estimator is more efficient than the most efficient estimator.
Estimator: A random variable that depends on the information in the sample.Estimate: A specific value of a random variable that approximates an unknown parameter.Unbiasedness: When the expected value of the estimator is equal to the population parameter.Bias: The difference between the expected value of the estimator and the population parameter.Most Efficient Estimator: An unbiased estimator that has the minimum variance.Relative Efficiency: Relative efficiency is a measure of the efficiency of an estimator. It is a ratio of the variance of an estimator to the variance of the most efficient estimator. A relative efficiency of 1 means that the estimator is as efficient as the most efficient estimatorfor such more questions on relative efficiency
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The volume of a storage unit needs to be 400 cubic feet with a width of 10ft and a lengths of 8ft. What does the height of the unit needs to be?
The height of the storage unit needs to be 5 feet according to mentioned length, width and volume.
The volume is calculated using the formula -
Volume = length × width × height. We have all the values except height. Thus, it can be easily calculated from the formula.
Rewriting the formula -
Height = Volume/ (length × width)
Height = 400/ (10 × 8)
Performing multiplication in denominator
Height = 400/80
Performing division and cancelling zero on Right Hand Side of the equation
Height = 5 feet
Hence, the height of the unit needs to be 5 feet.
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In a 7-sided figure, three of the angles are equal
and each of the other four angles is 150 greater
than each of the first three. Find the angles.
The sum of the angles of an N-sided convex figure is (n-2)*180 - a simple proof of which is just to decompose the figure into triangles, each of which has all of its vertices the same as three of the vertices of the original figure. (Cut a quadrilateral into two triangles along a diagonal, for instance).
So, a 7-sided figure has angles totaling 5*180 = 900. Now set up a simple equation:
3x + 4(x+15) = 900
7x + 60 = 900
7x = 840
x = 120
The figure has three angles of 120 degrees, and four angles of 135 degrees.
x cos y = 1, (2, pi/3), Find the derivative.
The derivative of the implicit function x · cos y = 1 at point (2, π / 3) is equal to y' = √3 / 6.
How to find the derivative of a function by implicit differentiation
In this problem we find the case of a implicit function of the form f(x, y), whose derivative must be found. This can be done by implicite differentiation, whose procedure is shown:
Derive the function by derivative rules.Clear y' within the resulting expression. Substitute x and y.Step 1 - Derive the expression by derivative rules:
cos y - x · sin y · y' = 0
Step 2 - Clear y' within the expression:
y' = cos y / (x · sin y)
Step 3 - Clear x and y in the resulting expression:
y' = cos (π / 3) / [2 · sin (π / 3)]
y' = 1 / [2 · tan (π / 3)]
y' = √3 / 6
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f(x) = x². What is g(x)?
-5
g(x) s
A. g(x) = -x²
B. g(x)=x²-3
C. g(x)=x²-3
D. g(x)=-3x²
f(x) = x²
Answer:
g(x)= x²-3
Step-by-step explanation:
C. g(x)=x²-3
A company finds that if it charges x dollars for a cell phone, it can expect to sell 1,000−2x phones. The company uses the function r defined by r(x)=x⋅(1,000−2x) to model the expected revenue, in dollars, from selling cell phones at x dollars each. At what price should the company sell their phones to get the maximum revenue? x i tercept
The company should sell their phones for $250 each to get the maximum revenue.
What do you mean by maximum revenue?
Maximum revenue refers to the highest possible amount of income that can be generated from a particular product or service. In the context of the given problem, it means finding the price at which the company can sell its cell phones to earn the highest amount of revenue.
Finding the price at which the company should sell their phones to get the maximum revenue:
We need to find the vertex of the parabolic function [tex]r(x)=x(1,000-2x)[/tex], which represents the revenue as a function of the selling price.
To find the vertex of the function r(x), we need to first rewrite it in standard form by expanding the product:
[tex]r(x) = 1000x - 2x^2[/tex]
Now we can see that the function is a quadratic polynomial in standard form, with [tex]a=-2, b=1000[/tex], and [tex]c=0[/tex]. To find the x-coordinate of the vertex, we can use the formula:
[tex]x = -b / (2a)[/tex]
Substituting the values of a and b, we get:
[tex]x = -1000 / (2\times(-2)) = 250[/tex]
Therefore, the company should sell their phones for $250 each to get the maximum revenue. To find the maximum revenue, we can substitute this value of x into the function r(x):
[tex]r(250) = 250\times(1000-2\times250) = $125,000[/tex]
So the maximum revenue the company can expect to earn is $125,000 if they sell their phones for $250 each.
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when a vertical beam of light passes through a transparent medium, the rate at which its intensity i decreases is proportional to i(t), where t represents the thickness of the medium (in feet). in clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity i0 of the incident beam. what is the intensity of the beam 10 feet below the surface? (give your answer in terms of i0. round any constants or coefficients to five decimal places.)
The intensity of the beam 10 feet below the surface can be calculated using Beer-Lambert's law, which states that the rate of decrease in intensity of light through a transparent medium is proportional to the thickness of the medium. This means that the intensity i of the beam at a depth t below the surface is given by the equation i = i0 * e^(-kt), where i0 is the initial intensity of the incident beam, k is a constant, and e is Euler's number.
For the given scenario, we know that the intensity at a depth of 3 feet is 25% of the initial intensity i0. Substituting the known values into the equation, we can calculate the value of k:
i = i0 * e^(-3k)
0.25i0 = i0 * e^(-3k)
0.25 = e^(-3k)
ln(0.25) = -3k
k = ln(0.25) / -3
k = 0.0451
Therefore, the intensity of the beam 10 feet below the surface can be calculated as follows:
i = i0 * e^(-0.0451 * 10)
i = i0 * e^(-0.451)
i = 0.6139i0
Rounding any constants or coefficients to five decimal places, the intensity of the beam 10 feet below the surface is 0.6139i0.
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Help me solve it I need to show my work please help
Step-by-step explanation:
5x - 30 = 3x
2x = 30
x = 15
that's the answer
Can 3 feet, 3 feet and 7 feet create a triangle explain why or why not
The given lengths of 3 feet, 3 feet, and 7 feet cannot form a triangle because they do not satisfy the Triangle Inequality Theorem, which is the sum of the lengths of any two sides is greater than the length of the third side.
To form a triangle, the sum of the lengths of any two sides of the triangle must be greater than the length of the third side. This is known as the Triangle Inequality Theorem.
Let's apply this theorem to the given lengths of 3 feet, 3 feet, and 7 feet:
The sum of the first two sides is 3 + 3 = 6 feet, which is less than the length of the third side of 7 feet. So, the first two sides cannot form a triangle.
The sum of the first and third sides is 3 + 7 = 10 feet, which is greater than the length of the second side of 3 feet. However, the sum of the second and third sides is 3 + 7 = 10 feet, which is also greater than the length of the first side of 3 feet.
Therefore, neither of the two combinations of sides satisfy the Triangle Inequality Theorem, and so it is impossible to form a triangle with sides of 3 feet, 3 feet, and 7 feet.
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The equation y=mx+b represents a line perpendicular to the line 3x+6y=18 that passes through the point (3,0) . What is the value of b ?
Therefore , the solution of the given problem of equation comes out to be B has a value of -6.
What is an equation?Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. Instead of a distinct algorithm that divides 12 into two parts and can be used to assess data received from y + 7, normalization in this case yields b + 7.
Here,
The initial line can first be expressed in slope-intercept form as follows:
=> 3x + 6y = 18
=> 6y = -3x + 18
=> y = (-1/2)x + 3
Therefore, the initial line has a slope of -1/2. The negative reciprocal, or 2, is the inclination of the line that is perpendicular to it.
Now that we know the equation of the line parallel to the initial line and passing through the point (3, 0), we can use the point-slope form of a line to determine it:
=> y - 0 = 2(x - 3)
=> y = 2x - 6
So, through position (3, 0), y = 2x – 6 is true.
Y = mx + b, where m = 2 is the slope and b = -6 is the y-intercept, is the slope-intercept version of this equation.
B therefore has a value of -6.
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25.71 rounded to 2 Decimal Place
Answer:
25.71 (2 d.p)
Step-by-step explanation:
[tex].[/tex]
.help me additional solve 2 step word problems. All operations
Answer:
1x + 2y = z
Step-by-step explanation:
Here x is the price of jeans and y is the price of T-shirts
z is total money spend
how to Reduce following factors
Answer:
Step-by-step explanation:
divide
Write each of these ratios in its simplest form:
a) 7:21:35
b) 9 min: 600 s
Answer:
a) 1:3:5
b) 9:10
Step-by-step explanation:
a) 7:21:35
Simplify by 7, we get the ratio
1:3:5
b) 9 min: 600 seconds
9 min = 540 seconds
540 seconds: 600 seconds
Simplify by 60, we get the ratio
9:10
Answer:
a) 1:3:5
b) 3 min: 200 s
Step-by-step explanation:
a) find a common factor you can divide them all by, in this case it would be 7.
7÷7=1
21÷7=3
35÷7=5
=1:3:5
b) find the common factor (3)
Divide all the numbers by the factor
9÷3=3
600÷3=200
=3 mins: 200 s
FeCl3 + 3 NH4OH → Fe(OH)3 + 3 NH4Cl
4.2712 moles of Fe(OH)3 are produced, how many moles of NH4Cl will also be produced?
If 4.2712 moles of Fe(OH)3 are produced, 12.8136 moles of NH4Cl will be produced as well.
What is Equation?An equation is a mathematical statement that expresses two expressions as equal. It is typically written using an equals sign (=) and consists of two expressions separated by an equals sign. The expressions in the equation represent a relationship between the two terms, and the equation can be used to solve for an unknown value. Equations can involve numbers, variables, and constants.
To determine the number of moles of NH4Cl that will be produced, we can use the mole ratio from the balanced chemical equation. According to the equation, for every 1 mole of Fe(OH)3 that is produced, 3 moles of NH4Cl will also be produced. Therefore, if 4.2712 moles of Fe(OH)3 are produced, 12.8136 moles of NH4Cl will be produced as well.
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For every 4 moles of Fe(OH)3 produced, 3 moles of NH4Cl are also produced. Since 4.2712 moles of Fe(OH)3 are produced, then 3 x 4.2712 = 12.8136 moles of NH4Cl will also be produced
What is Equation?An equation is a mathematical statement that expresses two expressions as equal. It is typically written using an equals sign (=) and consists of two expressions separated by an equals sign. The expressions in the equation represent a relationship between the two terms, and the equation can be used to solve for an unknown value. Equations can involve numbers, variables, and constants.
The reaction of FeCl3 with 3 moles of NH4OH produces 4.2712 moles of Fe(OH)3 and 3 moles of NH4Cl. This can be determined by using the balanced chemical equation for the reaction:
FeCl3 + 3 NH4OH → Fe(OH)3 + 3 NH4Cl
Since the reaction produces 4.2712 moles of Fe(OH)3, then the amount of NH4Cl produced can be calculated using the mole ratio. The mole ratio of NH4Cl to Fe(OH)3 is 3:4.2712, which can be simplified to 3:4. Therefore, for every 4 moles of Fe(OH)3 produced, 3 moles of NH4Cl are also produced. Since 4.2712 moles of Fe(OH)3 are produced, then 3 x 4.2712 = 12.8136 moles of NH4Cl will also be produced.
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suppose the vertical distance between the points (0, a) and (0, b) is 5. if her wealth increased from $1,050 to $1,350, then a. britney's subjective measure of her well-being would increase by more than 5 units. b. britney would change from being a person who is not risk averse into a risk-averse person. c. britney would change from being a risk-averse person into a person who is not risk averse. d. britney's subjective measure of her well-being would increase by less than 5 units.
The correct answer is d. Britney's subjective measure of her well-being would increase by less than 5 units.
We have, The vertical distance between points (0, a) and (0, b) is 5.
Her wealth increased from $1,050 to $1,350.Britney's subjective measure of her well-being would increase by less than 5 units. Option (d) is correct. Because the vertical distance between the points (0, a) and (0, b) is 5.
If the horizontal distance is the same as the vertical distance, then the slope is 1.
The slope of the straight line joining two points is given by;
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where the points are [tex](x_1,y_1), (x_2,y_2)[/tex]
Let's assume the two points are [tex](0, a) \ and \ (0, b)[/tex].
The slope of the line connecting these two points is;
[tex]\displaystyle m=\frac{b-a}{0-0}=\frac{b-a}{0}[/tex]
This is undefined as we cannot divide by 0.Hence, there is no horizontal distance, and there is no slope.
Therefore, if the vertical distance between two points is 5, and there is no horizontal distance, then she will experience less than 5 units of well-being.
Therefore, Britney's subjective measure of her well-being would increase by less than 5 units.
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7) A long piece of wire of length 90 cm is bent to form an equilateral triangle. What will be the length of each side of the triangle?
Answer:
30cm
Step-by-step explanation:
Perimeter of an equilateral triangle = 3L
Mathematically we have;
P = 3L
Where P = perimeter of the triangle
L = Length
Therefore;
90 = 3L
Divide both side by 3
L = 30cm
Therefore, the length of each side of the triangle is 30cm.