4) Brazil has won one of the last
six world cup championships.
If they win this year, what will
their winning fraction be?

The determinant of matrix C is 0.

(a) To compute the determinant of the matrix PAPT, we can use the property that the determinant of a product of matrices is equal to the product of the determinants of the individual matrices. Therefore:

det(PAPT) = det(P) * det(A) * det(P)

Substituting the given determinant values:

det(PAPT) = det(P) * det(A) * det(P) = 2 * 5 * 2 = 20

So, the determinant of the matrix PAPT is 20.

(b) To find the determinant of matrix C, we can expand along the first row or the first column. Let's expand along the first row :

C = | a 006 |

| 0 0 1 |

| 0 1 0 |

Using the expansion along the first row:

det(C) = a * det(0 1) - 0 * det(0 1) + 0 * det(0 0)

| 1 0 |

We can simplify this:

det(C) = a * (1 * 0 - 0 * 1) = a * 0 = 0

Therefore, the determinant of matrix C is 0.

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Answer:

if the formela right

so this is the answer

From the information given,

selling price of house = 125000

down payment = 20%

Thus,

down payment = 20/100 x 125000 = 25000

Loan amount or mortgage = selling price - down payment = 125000 - 25000

mortgage = 100000

1 mortgage point is 1% of the mortgage amount

2 mortgage points is 2% of the mortgage amount = 2/100 x 100000 = 2000

Thus,

cost of the two points of the mortgage = $2000

Answer:

The correct inequality is

\(x \geqslant 4\)

Answer:

g(x) = \(\frac{x+3}{x-3}\)

Step-by-step explanation:

From the picture attached,

Given function is,

f(x) = x + 1

We have to find the value of g(x) if the composite function has been given as,

f[g(x)] = g(x) + 1 = \(\frac{2x}{(x-3)}\)

g(x) = \(\frac{2x}{(x-3)}-1\)

      = \(\frac{2x-(x-3)}{(x-3)}\)

      = \(\frac{(x+3)}{(x-3)}\)

Therefore, g(x) = \(\frac{x+3}{x-3}\) will be the answer.

Answer: SSS

Step-by-step explanation:
all the sides are given , those lines across the triangle means that they are equal in size , and the line in the middle of both the triangles are common to each other so they have the same size

The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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The inequality represents all values to the left of 3.25 on the number line.

To solve and graph the inequality 4x < 13, we need to isolate the variable x and determine the solution set. Here's the process:

Divide both sides of the inequality by 4: (4x)/4 < 13/4, which simplifies to x < 13/4 or x < 3.25.

The solution set for this inequality consists of all real numbers x that are less than 3.25. In interval notation, the solution can be written as (-∞, 3.25).

To graph the solution, draw a number line and mark a closed circle at 3.25 to represent the endpoint. Then, shade the region to the left of the circle to indicate all values less than 3.25.

Note: If the inequality sign was ≤ instead of <, the circle would be open to indicate that 3.25 is not included in the solution set.

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The greatest sum Greg can obtain is 975 by adding two numbers. Greg should use the digits 6,5 and 4 for the first number and 3,2 and 1 for the second number

Greatest sum :

                               654 + 321 = 975

To get the greatest sum, Greg should use the digits 6,5 and 4 for the first number and 3,2 and 1 for the second number. This is because these are the largest digits and by putting them in the leftmost side of the number, it will make the number the largest possible number.

The greatest sum is the maximum value that can be obtained from adding two or more numbers. It is the largest possible outcome from an addition operation. The answer or result obtained by adding two or more numbers or terms is known as the sum. As a result, the sum is a way to combine things. To put it another way, adding two or more numbers together to get a new total is called the sum.

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Answer:

3808

Step-by-step explanation:

Given the sequence: 13,19,25

First Term, a=13

Common Difference, d=19-13=25-19=6

Since we have a common difference, the sequence is an arithmetic sequence.

We determine the sum of any nth term of an arithmetic sequence using the formula:

\(S_n=\frac{n}{2}[2a+(n-1)d] \\n=34, a=13, d=6\\$Therefore:\\S_{34}=\frac{34}{2}[2(13)+(34-1)*6]\\=17[26+33*6]\\=17[26+198]\\=17*224\\S_{34}=3808\)

The sum of the first 34 terms is 3808.

Answer: 19

Step-by-step explanation:

Answer:

Step-by-step explanation:

thats an allien ow may gad

Answer:

Answer:

A: (1,3)

A': (1,-3)

---

B: (5,1)

B': (5,-1)

---

C: (-2,2)

C': (-2,-2)

---

D: (-5,4)

D': (-5,-4)

The reflection of the given points over the x-axis is:

(-5, -4), (-2, -2), (1, -3), (5, -1)

By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.

As per the given data:

We are given a graph, and we have to find the reflection of the points in the graph over the y-axis.

From the graph given, the points are as as follows:

Let's assume the points as A, B, C and D

A = (-5, 4)

B = (-2, 2)

C = (1, 3)

D = (5, 1)

The reflection over the x-axis are as follows:

A' = (-5, -4)

B' = (-2, -2)

C' = (1, -3)

D' = (5, -1)

Hence, the reflection of the given points over the x-axis is:

(-5, -4), (-2, -2), (1, -3), (5, -1)

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The value of cos A in the triangle is 1 / 9.

The triangle is given as ABC. The side lengths are a, b and c. Therefore, cos A of the triangle can be found using cosine rule as follows:

a² = b² + c² - 2bc cos A

a = 4

b = 3

c = 3

Therefore,

4² = 3² + 3² - 2(3)(3) cos A

16  = 9 + 9 - 18 cos A

16 - 18 = - 18 cos A

-2 = - 18 cos A

divide both sides by - 18

cos A = - 2 / - 18

cos A = 1 / 9

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Answer:

78 + b

Step-by-step explanation:

he had 78 and he added the unknown amount or b

pls mark brainliest

Answer:

N<3

Step-by-step explanation:

Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

a) "Every student in this class has taken exactly two mathematics classes at this school."

In this statement, we have two main quantifiers:

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.

Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.

So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."

b) "Someone has visited every country in the world except Libya."

In this statement, we also have two main quantifiers:

Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.

So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."

In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.

Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

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Answer:

1/10

Step-by-step explanation:

1/5 * 1/2 = 1/10

4. f(x,y) is homogeneous of degree 2.

5. a) f(x,y) is homothetic with h(x,y) = xy and g(x) = x-1

4. Show that f(x,y)=\(x^2\)y is homogeneous, and find its degree of homogeneity:

A function is said to be homogeneous of degree k, if it satisfies the condition:

f(tx,ty) = \(t^k\)f(x,y)

We have f(x,y) = \(x^2\)y. Let’s check if it satisfies the above condition:

f(tx,ty) = \((tx)^2(ty) = t^3x^2y = t^2(x^2y\)) = \(t^2\)f(x,y)

Hence f(x,y) is homogeneous of degree 2.

5. Which of the following functions f(x,y) are homothetic? Explain.

(a) f(x,y)=\((xy)^2\)+1

(b) f(x,y)=\(x^2+y^3\)

Let us first understand the meaning of homothetic transformation.

A homothetic transformation is a non-rigid transformation of the Euclidean plane that preserves the direction of the straight lines but not their length. It stretches or shrinks the plane by a constant factor called the dilation.

Let’s now find out whether the given functions are homothetic or not.

(a) f(x,y)=\((xy)^2\)+1

In order to check if f(x,y) is homothetic or not, we need to check if the function satisfies the following condition:

f(x,y) = g(h(x,y))

where g is a strictly monotonic function and h is a homogeneous function with degree 1

We have

f(x,y) = \((xy)^2\)+1

Let’s assume g(x) = x - 1, then g(x+1) = x

Similarly, let’s assume h(x,y) = (xy), then h(tx,ty) = \(t^2\)h(x,y)

Now, we have

g(h(x,y)) = h(x,y) - 1 = (xy) - 1

Thus f(x,y) is homothetic with h(x,y) = xy and g(x) = x-1

(b) f(x,y)=\(x^2+y^3\)

We can’t write this function in the form f(x,y) = g(h(x,y)) where h(x,y) is a homogeneous function with degree 1. Hence this function is not homothetic.

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Answer:

the numbers are

-2

-3.5

-3

-2 1/2

2.5

plss help

Answer:

a=3

Step-by-step explanation:

p(x)=x^2-x-6 and f(x)=x^2+3x-18

they have a common factor x=a

so, when they are devided by x-a leave 0 as the remainder ( by remainder theorem)

p(a) =0

f(a)=0

SO, p(a) =f(a)

a^2-a-6=a^2+3a-18

a^2-a^-a-3a= -18+6

-4a= - 12

a=3

Step-by-step explanation:

Add 10 to the age you are now and get an answer.

Your age will be 10 years old.

A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.

Riddles are of two types: enigmas, which are problems generally expressed in metaphorical or allegorical.

Given that we need to find if you were born 10 years ago how old would you be,

So, you will be 10 years old.

It because when you born 10 years ago, The same as your age.

Thats the puzzle when someone's questions, that called Riddle.

A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.

Hence Your age will be 10 years old.

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Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.

Let's begin the iterations:

Iteration 1:

\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)

The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).

Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)

Iteration 2:

\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)

The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).

After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).

Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

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Answer:

D

Step-by-step explanation:

I did the test

\(\large\huge\green{\sf{Answer:-}}\)

➡90° +(x+x+x)= 180°

➡90° + 3x = 180°

➡3x= 180°-90°

➡3x= 90°

➡x = 90°/3= 30°

➡90°+x+y = 180°

➡90°+ 30° +y = 180°

➡120+y = 180°

➡y= 180°-120°

➡30 is correct answer

➡option b is correct

Answer:

4 spaces to the right

Step-by-step explanation:

hope this helps!

Answer:

See below

Step-by-step explanation:

x=a-2by^2   Subtract 'a' from both sides

x -a = - 2 by^2     divide both sides by - 2b

(a-x)/2b = y^2    sqrt both sides

y =  +- sqrt ( (a-x)/2b))

Answer:

y = ± \(\sqrt{\frac{(a-x)}{2b}}\)

Step-by-step explanation:

x = a - 2by²

Take -2by² to the left side.

x + 2by² = a

Take x to the left side.

2by² = a - x

Divide both sides by 2b.

y² = \(\frac{(a-x)}{2b}\)

Now remove the y square.

y = ± \(\sqrt{\frac{(a-x)}{2b}}\)

Approximately 24.5 square centimeters of metal is needed to make the can of soup.To calculate how much metal is needed to make the can of soup, we need to use the formula for the surface area of a cylinder. A cylinder has two circular bases and a curved lateral surface.

The formula for the surface area is:

Surface Area = 2πr² + 2πrh

Where r is the radius of the circular base, h is the height of the cylinder, and π is approximately equal to 3.14.

The can of soup has a diameter of 6 centimeters, which means the radius is 3 centimeters. The height of the can is 10 centimeters. Using the formula above, we can calculate the surface area:

Surface Area = 2π(3)² + 2π(3)(10)
Surface Area = 2π(9) + 2π(30)
Surface Area = 18π + 60π
Surface Area = 78π

To round our answer to the nearest tenth, we need to multiply the result by 10 and round it to the nearest whole number, then divide by 10 again. So:

78π ≈ 245.04
245.04 ≈ 245.0
245.0 ÷ 10 ≈ 24.5

Therefore, approximately 24.5 square centimeters of metal is needed to make the can of soup.

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0.8973 is the probability that the next tornado will occur within the next seven months.

Applying the rule of three, we can infer that since the average number of tornadoes in a year is 3.9, the average number of tornadoes in a nine-month period is 3.9*7/12 = 2.275. It is reasonable to believe that the distribution of tornadoes over time is Poisson. Let's refer to X as the number of tornadoes in a seven-month period. X has a Poisson distribution with a parameter of 2.27.

The probability of X being greater than or equal to 1 is equivalent to the likelihood that the next tornado will occur within the next seven months.. However P(X≥1) = 1-P(X=0), and

\(p(X=0) = (e^{2.275} * 2.275^{0}) / 0!\) = 0.1027  

Thus, the probability that the next tornado comes within the next 7 months is 1-0.1027  = 0.8973.

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