In which group of statements is the conclusion not justified by the previous pair of statements?
A. All cooks work in the kitchen . Mary is a cook. Mary works in the kitchen.
B. All dinosaurs are extinct. A triceratops is a dinosaur. All triceratops are extinct.
C. All squares are rectangles. All rectangles are parallelogram. All squares are parallelograms.
D. All fish live in the water. Some snakes live in the water. Some snakes are fish.
Option D is not justified because living in water doesn't necessarily mean that the snakes are fish. This logical fallacy is known as the undistributed middle. Options A, B, and C present logically justified conclusions.
Explanation:The conclusion that is not justified by the previous pair of statements is found in option D: 'All fish live in the water. Some snakes live in the water. Some snakes are fish.' In this scenario, the fact that some snakes live in the water does not logically lead to the conclusion that those snakes are fish. This is because belonging to the category 'fish' is not determined simply by living in water. Therefore, the conclusion is not supported by the given premises.
In contrast, for options A, B, and C, the conclusions are logically justified by the premises:
A. All cooks work in the kitchen. Mary is a cook. Conclusion: Mary works in the kitchen.B. All dinosaurs are extinct. A triceratops is a dinosaur. Conclusion: All triceratops are extinct.C. All squares are rectangles. All rectangles are parallelograms. Conclusion: All squares are parallelograms.Each of these sets uses deductive reasoning to draw conclusions that are supported by the premises. However, option D is an example of a logical fallacy known as the undistributed middle, leading to an erroneous conclusion.
Evaluate y= 50 X (0.3)^x for x= 2
A: 4.5
B: 750
C: 45
D: 225
Explain why this statement isn’t completely accurate.
The biggest problem when using metals (or cowry shells) for trading is what ?
PRE CAL
f(x)=x^3+x^2+4x+4
Solve with Synthetic division and find all zeros of the function
Solve 1/3x^2 + 11x - 75 < 105
a. -45 < x < 12
b. -5 < x < 12
c. x < -45 or x > 12
HELP PLEASE. A function f (x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
The function rule in slope-intercept form is y = 3x + 9.
Explanation:The function rule in slope-intercept form is given by the equation y = mx + b, where m represents the slope of the line and b represents the y-intercept.
In this case, the given y-intercept is 9, so b = 9.
The slope of the line is 3, which means that for every increase of 1 on the horizontal axis (x-axis), there is a rise of 3 on the vertical axis (y-axis). Therefore, m = 3.
Putting these values into the slope-intercept form, we get the function rule to be y = 3x + 9.
Which equation represents a line with a greater slope and lesser y intercept than the line shown?
Erica is buying a $205,000 home. She has decided to purchase 2 points in order to lower her interest rate. The appraisal fee is $450, the processing fee is $575, and the title fee is $600. What is her total in closing costs?
Answer: $5,725
Step-by-step explanation:
Given: The cost of home = $205,000
If there is no down payment, then the mortgage amount = $205,000
We know that one point costs 1 % of mortgage amount .
2 points = 2 % of the mortgage amount =[tex]0.02\times205,000=\$4,100[/tex]
[tex]\text{Closing costs=}\text{cost of points + appraisal fee+processing fee+ title fee}[/tex]
[tex]=\$4,100+\$450+\$575+\$600=\$5,725[/tex]
Hence, her total in closing costs = $5,725.
find the interval(s) over which the function is increasing
To find the intervals over which a function is increasing, you need to find its derivative, set it greater than 0 and solve for x. The solutions give the intervals where the function is increasing.
Explanation:In mathematics, to find the intervals over which a function is increasing, you first need to find its derivative. The derivative of a function at a certain point gives the slope of the tangent line at that point. If the derivative is positive, the function is increasing. If it's negative, the function is decreasing.
For example, let's say we have a function f(x) = x^3 - 3x. The derivative of this function is f'(x) = 3x^2 - 3. To find the interval where the function is increasing, we set the derivative greater than 0 and solve for x: 3x^2 - 3 > 0. The solution to this inequality gives the intervals over which the function is increasing .
Learn more about Increasing Intervalshttps://brainly.com/question/27998402
#SPJ3
dj14ven
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
12.7 units
16.9 units
24.0 units
33.9 units
The answer came from Rgwoot Ambitious
from another post in case anyone else needs it
What we know:
shape is rectangle which means the 2 long sides have equal distance and the 2 short sides have equal distance
we just need to find the distance of one long side and one short side for the perimeter which is the outline of the rectangle. Imagine the perimeter is the fence around the rectangle that you would probably have to paint every 3 years and the area would be where the grass would grow in the rectangle which you would probably have to cut every weekend.
perimeter=2l+2w
What we need to find: PERIMETER
Using pythagorean method a² +b²=h² to find length:
From point (-6,1) to point (3,8) is a rise of 9 and a run of 9 right to get from one point to another, those are my a and b in the pythagorean formula.
a² +b²=h²
(9)²+(9)²=h² substitution
81+81=h² simplified
162=h²
√162=√h2 used radical properties
√162=h length =√162
Using pythagorean method a² +b²=h² to find width:
From points (-6,-1) to point (-3,-4) is a down 3 units and left 3 units to reach from one point to another, these are my a and b for the pythagorean formula.
a² +b²=h²
(3)²+(3)²=h²
9+9=h²
18=h²
√18=√h²
√18=h this is the width=√18
Now we find perimeter:
p=2l+2w
p=2(√162)+2(√18)
p≈33.9
D. 33.9 units
Read more on Brainly.com - https://brainly.com/question/6780060#readmore
Planes A and B intersect.
Which describes the intersection of plane A and line m?
line k
line n
point X
point W
In analytic geometry, the intersection of a line and a plane in three-dimensional space can be the empty set, a point, or a line:
it is the entire line if that line is embedded in the plane,it is the empty set if the line is parallel to the plane but outside it. Otherwise, the line cuts through the plane at a single point (see attached picture for details).In your case line m is not parallel to the plane A and is not embedded in the plane, then the intersection is the point. Since point X is common point of the line m and the plane A, then the intersection of plane A and line m is point X.
Answer: correct choice is C.
Point X as it is the only point common in the both , Therefore Option C is the correct answer.
What is the point of intersection ?The point of intersection is the unit place where the two lines or planes meet each other .
In the given figure it can be seen that the the intersection of plane A and line m is given by Point X as it is the only point common in the both.
Therefore Option C is the correct answer.
To know more about Point of Intersection
https://brainly.com/question/14217061
#SPJ5
B is the midpoint of AC. If AB =x +5 and BC = 2x -11, find the measure of AB
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What’s the solution set of this problem?
Answer:
B (-∞, -21]
Step-by-step explanation:
edge
To start the school year, a teacher spends $54.35 in school supplies for her classroom. During the course of the year, she will restock her supplies and will spend $22 each time she restocks the supplies. The expression below describes this situation.
22x + 54.35
In this expression, what is the coefficient and what does it describe?
A.) x, which describes the number of times she restocks her supplies
B.) 22, which describes the amount she spends each time restocking her supplies
C.) 22x, which describes the total amount she spends each time she goes to the store
D.) 54.35, which describes the amount she originally spends on supplies
30 POINTS!!!!
Tom and Martin both worked 9 hours this week and sold $360 worth of meals. Their hourly wages are $2.15 and $2.50, respectively. In addition, Tom's percent of tips was 15% while Martin's was 20%. Who made the most money this week between Tom and Martin?
Given
Tom and Martin both worked 9 hours this week and sold $360 worth of meals
Tom's percent of tips was 15% while Martin's was 20%
Find out the most money this week between Tom and Martin
To proof
In this question take two cases
FIRST CASE
Martin worked 9 hours
sold worth of meals = $360
Martin's percent of tip = 20%
First convert 20% in decimal form
= [tex]\frac{20}{100}[/tex]
= 0.20
than the equation becomes
Martin makes money = 9 × 2.50 + 0.20 × 360
= 22.5 + 72
= $ 94.5
SECOND CASE
Tom worked 9 hours
Tom's percent of tips = 15%
sold worth of meals = $360
First 15 % is written in decimal form
= [tex]\frac{15}{100}[/tex]
= 0.15
than the equation becomes
Tom makes money = 9 × 2.15 + 0 .15× 360
= 19.35 + 54
= $ 73.35
Thus martin makes money is $94.5
Thus tom makes money is $73.35
Hence Martin makes more money than tom
Hence proved
Answer: Tom made more money than Martin
Step-by-step explanation:
Test results said this was the right answer
Which sentence best describes the independent and dependent variables in the following problems ?
Y = 3x + 5 step 1 of 3: determine the slope and y-intercept of the equation above
What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y=x/3−1 ? Enter your answer in the box.
Lines can be parallel, perpendicular or have no relationship at all.
The equation of the line is: [tex]\mathbf{y = -3x + 14}[/tex]
First, we calculate the slope of: [tex]\mathbf{y = \frac x3 - 1}[/tex]
A linear equation is represented as:
[tex]\mathbf{y = mx + c}[/tex]
Where:
m represents the slope
So, by comparison:
[tex]\mathbf{m = \frac 13}[/tex]
From the question, we understand that the required line is perpendicular to [tex]\mathbf{y = \frac x3 - 1}[/tex]
This means that, the slope (m2) of the required line is:
[tex]\mathbf{m_2 = -\frac 1m}[/tex]
So, we have:
[tex]\mathbf{m_2 = -\frac 1{1/3}}[/tex]
[tex]\mathbf{m_2 = -3}[/tex]
The equation of the line is:
[tex]\mathbf{y = m_2(x - x_1) + y_1)}[/tex]
Where:
[tex]\mathbf{(x_1,y_1) = (4,2)}[/tex]
So, we have:
[tex]\mathbf{y = -3(x - 4) + 2}[/tex]
Open bracket
[tex]\mathbf{y = -3x + 12 + 2}[/tex]
[tex]\mathbf{y = -3x + 14}[/tex]
Hence, the equation of the line is: [tex]\mathbf{y = -3x + 14}[/tex]
Read more about equations of perpendicular lines at:
https://brainly.com/question/4115243
John runs 4 miles in 30 minutes. at the same rate, how many miles would he run in 48 minutes?
Assembly Line A produces 45 units in the same time that it takes Assembly Line B to produce 37 units. If Line B produces 555 units, how many units does Line A produce during the same time?
To determine the number of units produced by Assembly Line A when Line B produces 555 units, we use the ratio of their production rates (45/37) to find that Assembly Line A would produce 675 units.
The question asks how many units Assembly Line A produces when Assembly Line B produces 555 units, given that Line A produces 45 units in the same time that it takes Line B to produce 37 units. To find the answer, we can use the concept of ratio and proportion.
Since Line A produces 45 units at the same time Line B produces 37 units, we have a ratio of 45/37. With Line B producing 555 units, we can set up a proportion to find how many units Line A produces:
45/37 = x/555
Multiplying both sides of the equation by 555, we get:
x = (45/37) * 555
Calculating the value of x gives us:
x = 675
Therefore, Assembly Line A produces 675 units in the same time that Assembly Line B produces 555 units.
Which is larger 1 meter or 105 centimeters?
Please help ASAP!
If -3 is a zero of P(x) = 2x^3 + 3x^2 - kx - 27, Find the value of k. Show steps, please.
The value of k is 18, If -3 is a zero of P(x) = 2x^3 + 3x^2 - kx - 27.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
-3 is a zero of P(x) = 2x^3 + 3x^2 - kx - 27
so,
We can just input the value of -3 into the equation to find value of k.
now, we get,
0=2(-3)^3 + 3(-3)^2 +3k -27
27= -54 +27 + 3k
27= -27 = 3k
27+27 = 3k
54/3 = k
18 =k
Hence, The value of k is 18, If -3 is a zero of P(x) = 2x^3 + 3x^2 - kx - 27.
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
Choose the point slope form of the equation below that represents the line passing through the point (-6,4) and (2,0)
Answer:
So, the point-slope form of the equation that represents the line passing through the points [tex]\((-6,4)\) and \((2,0)\)[/tex] is:
[tex]\[ y - 4 = -\frac{{1}}{{2}}(x + 6) \][/tex]
Explanation:
To find the equation of the line passing through the points [tex]\((-6,4)\) and \((2,0)\)[/tex] , we can use the point-slope form of the equation of a line:
[tex]\[ y - y_1 = m(x - x_1) \][/tex]
Where [tex]\((x_1, y_1)\)[/tex] is a point on the line, and [tex]\(m\)[/tex] is the slope of the line.
First, let's find the slope [tex]\(m\):[/tex]
[tex]\[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \][/tex]
Using the coordinates of the given points:
[tex]\[ m = \frac{{0 - 4}}{{2 - (-6)}} \][/tex]
[tex]\[ m = \frac{{-4}}{{2 + 6}} \][/tex]
[tex]\[ m = \frac{{-4}}{{8}} \][/tex]
[tex]\[ m = -\frac{{1}}{{2}} \][/tex]
Now that we have the slope, let's choose one of the given points to plug into the point-slope form. We'll use [tex]\((-6,4)\):[/tex]
[tex]\[ y - 4 = -\frac{{1}}{{2}}(x - (-6)) \][/tex]
[tex]\[ y - 4 = -\frac{{1}}{{2}}(x + 6) \][/tex]
[tex]\[ y - 4 = -\frac{{1}}{{2}}x - 3 \][/tex]
Now, let's simplify and put the equation in slope-intercept form:
[tex]\[ y = -\frac{{1}}{{2}}x - 3 + 4 \][/tex]
[tex]\[ y = -\frac{{1}}{{2}}x + 1 \][/tex]
what would be the maximum value for f(x) = −5x2 + 9
Introduction to ordering decimals 0.86 and 0.88
9.40 and 9.4
9.3 and 9.04
If two or more points are____ they lie on the same plane.
A. Collinear
B. Rays
C. Segments
D. Complementary
If two or more points are collinear they lie on the same plane.
What are collinear points?Collinear points are points that lie on the same straight line. In other words, if three or more points are collinear, they can be connected by a straight line.
Collinear points are important in geometry and are used in many geometric proofs and constructions. The concept of collinearity is also used in other fields, such as physics and engineering, where it is used to describe the motion of objects along a straight line or to define the direction of forces acting on an object.
Given data ,
Let the points be represented as A , B and C
Now , when A , B and C are lying on the same line , we say the points are collinear or collinear points
So , If two or more points are collinear they lie on the same plane.
Hence , the collinear points are solved
To learn more about collinear points click :
https://brainly.com/question/2284415
#SPJ7
After my salary was increased by 12%, it was $62,720$. What was my salary before the increase?
33.33333333333333 in a fraction
The hypotenuse of a right triangle is 8 feet less than three times the shorter leg and the longer leg is 8 feet more than twice the shorter leg. find the lengths of the three sides of the triangle.
The sides of the right angle triangle are 20, 48, and 52.
We have given that,
The hypotenuse of a right triangle is 8 feet less than three times the shorter leg and the longer leg is 8 feet more than twice the shorter leg.
Suppose the shortest leg is x, the hypotenuse is then 3x-8, and the longer leg is 2x+8
We use the Pythagorean theorem
What is the Pythagorean theorem?[tex]hypotenous^2=side^2+side^2[/tex]
Therefore by using Pythagorean theorem
[tex]x^2+(2x+8)^2=(3x-8)^2\\x^2+(4x^2+32x+64)=(9x^2-48x+64)\\4x^2-80x=0[/tex]
x=0 or x=20
So the sides are 20, 48, and 52.
To learn more about the Pythagorean theorem visit:
https://brainly.com/question/343682
#SPJ2