In the first argument, the conclusion logically follows from the premises because if no birds have whiskers and Bob doesn't have whiskers, then it logically follows that Bob isn't a bird. In the second argument, the conclusion also logically follows from the premises because if the person is not carrying an umbrella and carrying an umbrella is a necessary condition for it to be raining, then it logically follows that it is not raining.
I will provide you with two Venn diagrams, each representing one argument, and explain whether the argument is valid or invalid.
Argument 1:
Premise: No birds have whiskers.
Premise: Bob doesn't have whiskers.
Conclusion: Bob isn't a bird.
Venn Diagram Explanation:
In this case, we have two sets: birds and things with whiskers. Since the premise states that no birds have whiskers, we can represent birds as a circle without any overlap with the set of things with whiskers. Bob is not included in the set of things with whiskers, which means Bob falls outside of the circle representing things with whiskers.
Therefore, Bob is also outside of the circle representing birds. This shows that Bob isn't a bird. The Venn diagram would show two separate circles, one for birds and one for things with whiskers, with no overlap between them.
Argument 2:
Premise: If it is raining, then I am carrying an umbrella.
Premise: I am not carrying an umbrella.
Conclusion: It is not raining.
Venn Diagram Explanation:
In this case, we have two sets: raining and carrying an umbrella. The premise states that if it is raining, then the person is carrying an umbrella. If the person is not carrying an umbrella, it means they are outside of the circle representing carrying an umbrella.
Therefore, the person is also outside of the circle representing raining. This indicates that it is not raining. The Venn diagram would show two separate circles, one for raining and one for carrying an umbrella, with the circle representing carrying an umbrella being outside of the circle representing raining.
Validity:
Both arguments are valid.
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Can someone please help me on this asap?? Im begging ill give more points and brainliest etc just please please help.
Answer:
which one and I will help
Find the product. ( 5xy) ( 7xy)
Answer:
35x^2y^2
Step-by-step explanation:
just multiply and combine like terms
Mary puts 200 fish into a pond. If the fish are guaranteed to increase at an annual rate of 14%, how many fish will be in the pond in 5 years?
Answer:
340
Step-by-step explanation: 200 * .14 = 28 then 28*5= 140 then 140+200=340
Answer:
340 in 5 years
Step-by-step explanation:
I set it up as a fraction so I could find 14% of 200.
14/100 = x/200
Then I cross multiplied
100x = 2800
Simplify
x=28
Twenty-eight is 14% of 200. Multiply 28 by 5.
28 x 5 = 140
Add 140 to 200
340
Which of the following statements describes the total number of dots in the first n rows of the triangular arrangement illustrated below?
The total number of dots in the first n rows of the triangular arrangement is equal to the sum of the first n positive integers. This can be represented by the formula: n(n+1)/2.
Based on the triangular arrangement mentioned in your question, the total number of dots in the first n rows can be described using the formula for the sum of the first n terms of an arithmetic series. This formula is:
Total number of dots = n(n + 1) / 2
Here, 'n' represents the number of rows. Using this formula, you can easily calculate the total number of dots for any given number of rows in the triangular arrangement.
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An oil tanker containing 108,000 gallons of oil releases 1/3 of its remaining volume every 2 hours. How many gallons remain in the tanker after 6 hours?
Based on the initial volume of oil and the amount being released every 2 hours, the gallons remaining after 6 hours will be 32,000 gallons.
The oil tanker initially had 108,000 gallons. This will be reduced by a third after the first two hours and the tanker will have:
= 108,000 - (108,000 x 1/3)
= 72,000 gallons
After the next two hours it will be:
= 72,000 x ( 72,000 x 1/3)
= 48,000 gallons
After the next two hours which now makes 6 hours it will be:
= 48,000 x (48,000 x 1/3)
= 32,000 gallons
In conclusion, there will be 32,000 gallons remaining.
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What is the surface area of a cylinder? Express the answer in term of x
D=8cm h=18cm
Answer:
the surface area is 552.92
Step-by-step explanation:
Answer:
\(552.92 {cm}^{2} \)
Step-by-step explanation:
\(A
=
2
π
r
h
+
2
π
{r}^{2}
\\
=
2
·
π
·
4
·
18
+
2
·
π
·
{4}^{2}
\\
≈
552.92031
\)
hope this helps
brainliest appreciated
good luck! have a nice day!
If f (x) is transformed by compressing the function vertically (making it wider) by a factor of, shifting 5 units to the left, and shifting 11 units downward, what will be the new function?
1/2f(x) +5-11
1/2f(x+5)-11
f(x+5)- 11
1/2f(x-5)-11
The new function after applying the sequence of transformation include: B. 1/2f(x + 5) - 11
What is a translation?In Mathematics and Geometry, the translation of a graph to the left means a digit would be added to the numerical value on the x-coordinate of the pre-image:
g(x) = f(x + N)
Conversely, the translation of a graph downward means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:
g(x) = f(x) - N
Since the parent function f(x) was translated 11 units downward, 5 units to the left, and vertically compressed (making it wider) by a factor of 1/2, the equation of the image g(x), we have:
g(x) = 1/2f(x + 5) - 11
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Complete Question:
If f(x) is transformed by compressing the function vertically (making it wider) by a factor of 1/2, shifting 5 units to the left, and shifting 11 units downward, what will be the new function?
Teri has $6 less than does her sister, Jennie, who has x dollars. Teri
does not spend any money and earns $4. Which of the following
is an expression for the amount of money, in dollars, Teri has?
F. 2
G. X + 2
H. x + 10
J. 2x - 2
K. X-2
The expression for the amount of money, in dollars, Teri has is x-2.
Since Jennie has x dollars while Teri has $6 less than does Jennie, this means that Teri will have: x - 6
Since Teri does not spend any money and earns $4, the the total amount that Teri has will be:
= x - 6 + 4
= x - 2
Therefore, Teri has x-2.
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Answer the following question when X₁, X₂,..., X is a random sample from an exponential family with the following probability density function. f(x 0) = exp (0T(x) + d(0)+ S(x)) a. H: 0= 0 vs H₁
Given that X₁, X₂,..., X is a random sample from an exponential family with the following probability density function, f(x 0) = exp (0T(x) + d(0)+ S(x)).
To form the hypothesis for the exponential family, we need to consider the null and alternative hypothesis.
Null hypothesis: 0= 0
Alternative hypothesis: 0 ≠ 0
Explanation: The exponential family is a class of distribution families. The density of an exponential family is given by the following expression:
f(x|θ) = h(x) exp{θT(x) − A(θ)},
where h(x) is a nonnegative function of the data that does not depend on the parameter θ and A(θ) is a normalizing function.
The parameter θ is typically called the natural parameter, and T(x) is the vector of sufficient statistics. The exponential family of distributions includes the normal, exponential, chi-squared, gamma, and beta distributions, among others. In hypothesis testing for the exponential family, we typically specify a null hypothesis and an alternative hypothesis, just as in other types of hypothesis testing. The test statistic is usually a ratio of two likelihood ratios.
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the question is in the picture sorry the pic is bad but i need the answer for the transformations of triangle abc to triangle xyz
это вопрос 10 класса? Вопрос старшеклассника??
Answer: I think its reflected
Step-by-step explanation:
Use the product notation to rewrite the following expression. (t − 6) · (t2 − 6) · (t3 − 6) · (t4 − 6) · (t5 − 6) · (t6 − 6) · (t7 − 6) = π7k = 1
The expression ((t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9) can be written in terms of product notation as Π⁷k=1 \((t^k - 9)\).
As per the question, we can write the expression as:
(t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9)
Using product notation, we can write this as:
Π⁷k =1 \((t^k - 9)\)
where Π represents the product of terms, k is the index of the product, and the subscript 7 indicates that the product runs from k = 1 to k = 7.
Therefore, the expression ((t − 9) · (t² − 9) · (t³ − 9) · (t⁴ − 9) · (t⁵ − 9) · (t⁶ − 9) · (t⁷ − 9) can be written in terms of product notation as Π⁷k=1 \((t^k - 9)\).
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A wise man once said, "400 reduced by 3 times my age is 220,"what is his age?
400-220=180
180/3=60
The answer is 60.
Describe and correct the error in setting up the trigonometric function.
The value of side length w is 13.75 .
Given right angled triangle,
Perpendicular = w
Hypotenuse = 17
Angle of triangle = 54°
So,
According to the trigonometric ratios,
tanФ = p/b
cosФ = b/h
sinФ = p/h
By using sinФ,
sinФ = p/h
sin 54° = w/ 17
0.809 = w/17
w = 13.75 .
Thus after correction w will be 13.75
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Whitney and john each take out at $24,000 loan for a nee condo. each has
HELP ME I MARK BRAIN THING
Answer:
your answer will be B
Step-by-step explanation:
have a nice day/night !!!
Answer:
A
Step-by-step explanation:
it is joined so it is symmetrical
Find the area of the region inside the circle r = 4cos(theta) and outside the cardioid r = 1 + cos(theta). Use a double integral to find the area of the region
We are asked to find the area of the region inside the circle and outside the cardioid. To do so, we will use a double integral to calculate the area of the region.
Answer:
To find the area of the region, we can use a double integral in polar coordinates. The region can be described by the inequalities 0 ≤ r ≤ 4cos(theta) and 1 + cos(theta) ≤ r ≤ 4cos(theta). The limits of integration for theta are 0 ≤ theta ≤ pi/2.
The integral for the area is given by:
A = ∫[0,pi/2] ∫[1+cos(theta),4cos(theta)] r dr dtheta
Solving this integral, we get:
A = ∫[0,pi/2] [1/2(16cos^2(theta) - (1+cos(theta))^2)] dtheta
A = ∫[0,pi/2] [7cos(theta) - 3/2cos^2(theta) - 1/2] dtheta
A = [7sin(theta) - 3/2sin^3(theta) - theta/2] evaluated from 0 to pi/2
A = (7/2) - (3/8) - (pi/4)
A = 15/8 - pi/4
Therefore, the area of the region inside the circle r = 4cos(theta) and outside the cardioid r = 1 + cos(theta) is 15/8 - pi/4 square units.
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what is the ratio for COS A?
The ratio of cos A in the right triangle is 12 / 13.
How to find the angle of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, let's find the ratio of cos A using trigonometric ratios.
Using cosine ratio,
cos A = adjacent / hypotenuse
Therefore,
adjacent side = 12
hypotenuse side = 13
cos A = 12 / 13
Therefore, the ratio is 12 / 13
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find the centroid ( ¯ x , ¯ y ) of the triangle with vertices at ( 0 , 0 ) , ( 5 , 0 ) , and ( 0 , 7 ) .
The centroid of a triangle is the point where the three medians of the triangle intersect. In this case, the triangle has vertices at (0, 0), (5, 0), and (0, 7).
First, let's calculate the average x-coordinate:
¯x = (0 + 5 + 0) / 3 = 5/3 ≈ 1.67
Next, let's calculate the average y-coordinate:
¯y = (0 + 0 + 7) / 3 = 7/3 ≈ 2.33, the centroid of the triangle with vertices at (0, 0), (5, 0), and (0, 7) is approximately (1.67, 2.33).
In summary, the centroid of the triangle with verticesvertices at (0, 0), (5, 0), and (0, 7) is located at approximately (1.67, 2.33). This point represents the average position of the three vertices and is the intersection point of the medians of the triangle.
The centroid coordinates are found by taking the average of the x-coordinates and the average of the y-coordinates of the three vertices. In this case, we add up the x-coordinates (0 + 5 + 0 = 5) and divide by 3 to get an average of 5/3, which is approximately 1.67. Similarly, we add up the y-coordinates (0 + 0 + 7 = 7) and divide by 3 to get an average of 7/3, which is approximately 2.33. These values represent the x-coordinate (¯x) and the y-coordinate (¯y) of the centroid, respectively. Therefore, the centroid of the triangle is located at approximately (1.67, 2.33).
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The city of Amsterdam, in the Netherlands, is 7 feet below sea level. The city of Berlin, in the neighboring country of Germany, is 112 feet above sea level.
How much higher is Berlin than Amsterdam?
Answer:
119
Step-by-step explanation:
Berlin is 119 feet higher than Amsterdam.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
The city of Amsterdam, in the Netherlands, is 7 feet below sea level.
Height of Amsterdam = -7 feet, since it is below sea level.
The city of Berlin, in the neighboring country of Germany, is 112 feet above sea level.
Height of Berlin = +112 feet, since it is above the sea level
Amount of difference = +112 feet - (-7 feet)
= 112 + 7
= 119 feet
Hence Berlin compared to Amsterdam is 119 feet higher.
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A textbook store sold a combined total of 452 sociology and biology textbooks in a week. The number of sociology textbooks sold was three times the number of biology textbooks sold. How many textbooks of each type were sold?
The Number of biology books is 113 and the number of sociology books is 339 books.
How to calculate the value?Based on the information given, let the number of biology books = b
The number of sociology = 3 × b = 3b
Therefore, the equation will be illustrated as:
b + 3b = 452
4b = 452
Divide
b = 452/4
b = 113
Number of biology books = 113
Number of sociology books = 3 × b
= 3 × 113
= 339 books
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What is 5 14/12 in simplest form
Answer:
the answer is probably 7/6
hope I am correct and if not I'm sorry
maggie needs to make 6 tablecloth's she uses 3 3/5 yards of fabric for each tablecloth which is the shortest roll that will have enough fabric to make all the tablecloths
Answer:
21 3/5
Step-by-step explanation:
I think the answer is 21 3/5 because
6×3 3/5=21 3/5 but I'm not positive.
9y -2x=1 solve for Y
Answer:
y = 1/9 + 2/9x
Step-by-step explanation:
9y - 2x = 1
9y = 1 + 2x (get rid of x)
y = 1/9 + 2/9x (divide 9 on both sides)
x+8y=15 -x-10y=-19
Its for math
Answer:
Simplifying
x + 8y = 15
Solving
x + 8y = 15
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8y' to each side of the equation.
x + 8y + -8y = 15 + -8y
Combine like terms: 8y + -8y = 0
x + 0 = 15 + -8y
x = 15 + -8y
Simplifying
x = 15 + -8y
what is the coordinate plane shown below?
please help me i will also give brainliest if correct
Answer:
x = -1, y = 0.125
Answer: (-1,1/8)
Step-by-step explanation:
Coordinates are given in (x,y) format. The x axis runs left to right and the y axis runs up and down.
Point P is on -1 of the x axis and appears to be between 0 and .25 on the y axis. This would be half of .25. .25 is 1/4 as a fraction. Half of 1/4 is 1/8. So the coordinates for point P are (-1,1/8)
A 2-gallon container of window cleaner costs $31.68. What is the price per quart?
Answer: $3.96 per quart
Step-by-step explanation:
2 gallons = 8 quarts
Price per quart = 31.68/8 = $3.96
Therefore, price per quart = $3.96
Answer:
$3.36 per gallon
Step-by-step explanation:
So 2 gallons is equal to 8 quarts, so then you do $31.68 divided by 8 which gives you the answer of $3.36 per gallon
Franklin school is having a Popsicle party for its nine hundred fifty four students.The secretary there will some Popsicle left over to share with the teachers. Each student will get two Popsicle. Popsicle come in boxes that have one dozen Popsicle. There are twenty-five boxes in cartoon, how many boxes of Popsicle? Show your work.
Answer:
175 boxes
Step-by-step explanation:
There are a total of 954 students since each student will get two popsicles that would mean we need a total of 1,908 popsicles (954 * 2). Since each box contains 12 popsicles then we simply divide the total number of popsicles needed by the number of popsicles that fit in each box to find the total number of boxes.
1,908 / 12 = 159 boxes
Since there are 25 boxes per carton we divide 159 by 25
159 / 25 = 6.36
Now we see that we need at least 6.36 cartons of popsicles, but since we can't get 6.36 we would need to get 7 cartons which would bring a total of
7 * 25 = 175 boxes
Finally, we would end up with 175 boxes of popsicles which would be enough for all the students and have leftover for the teachers.
Find the value of y.
The 'Y' Coordinate is written second in an order of coordinates which is /X , Y\ Prob such as /12, 5\
The state of a spin 1/2 particle in Sx basis is defined as (Ψ) = c+l + x) + i/√7 l - x) a) Find the amplitude c+ assuming that it is a real number and the state vector is properly defined. b) Find the expectation value . c) Find the uncertainty △SX.
1) The amplitude c+ is c+l
2) The expectation value is 0
3) The uncertainty ΔSX is √(3/7) c+.
Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:
Ψ = c+ |+> + c- |->
where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.
Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->
Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.
Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).
Now, |+> can be written as:|+> = 1/√2(|l> + |r>)
Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)
Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)
Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->
Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:
c+/√2 = c+l/√2 + i/(√7√2)
Therefore, c+ = c+l
The amplitude c+ is a real number and is equal to c+l
The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>
Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)
As c+ is a real number, Im(c+) = 0
Therefore, = 0
The uncertainty ΔSX in the state |Ψ> is given by:
ΔSX = √( - 2)
where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2
Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)
Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+
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Solve the matrix equation for the unknown matrix X. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) A = [7 3 4 3] B = [7 2 7 2] C = [3 3 4 0 0 8] D = [10 30 30 30 30 0] 5(X - C) = D x = []
After solving the equation 5(X - C) = D , for the given matrices , we get , the unknown matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .
In the question ,
it is given that , the matrices are
A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\) B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\) C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) .
and the equation is given as 5(X - C) = D ,
and we have to find the value of unknown matrix X .
let the matrix X be = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\)
Substituting , the given matrices A , B , C and D in the equation 5(X - C) = D ,
we get ,
5(X - C) = D ,
5X - 5C = D ,
5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) - 5\(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\)
5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) - \(\left[\begin{array}{ccc}15&15\\20&0\\0&40\end{array}\right]\)
Simplifying further ,
we get ,
5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}25&45\\50&30\\30&40\end{array}\right]\)
Dividing both sides by 5 ,
we get ,
X = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\)
Therefore , the matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .
The given question is incomplete , the complete question is
Solve the matrix equation for the unknown matrix X.
A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\) B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\) C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) . the equation is
5(X - C) = D .
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