What is the image point of (−6,−4)(−6,−4) after the transformation T−4,−1∘Ry=-x?

Answer:

a^2 - 2a - 15

Step-by-step explanation:

( a - 5 )(a + 3 )

distribute

a^2 + 3a - 5a - 15

a^2 - 2a - 15

Hope this helps!!!

Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

( a , b ) → R ( x , y )

as x and b ∈ y

(a) A relation R in a set A is not reflexive if there be at least one element a ∈ A such that (a, a) ∉ R. Consider, for example, a set A = {p, q, r, s}. The relation R1 = {(p, p), (p, r), (q, q), (r, r), (r, s), (s, s)} in A is reflexive, since every element in A is R1-related to itself.

(b) Now {a}∩{b}=∅ and {b}∩{a}=∅ but {a}∩{a}≠∅. So the relation on any such R is not transitive.

Given that,

A relation on Z by setting x R y if xy is even,

A relation R in a set A is not reflexive if there be at least one element a ∈ A such that (a, a) ∉ R. Consider, for example, a set A = {p, q, r, s}. The relation R1 = {(p, p), (p, r), (q, q), (r, r), (r, s), (s, s)} in A is reflexive, since every element in A is R1-related to itself.

The empty relation is the subset ∅. It is clearly irreflexive, hence not reflexive. To check symmetry, we want to know whether aRb⇒bRa for all a, b ∈ A.

R is reflexive if for all x A, xRx. R is symmetric if for all x,y A, if xRy, then yRx. R is transitive if for all x,y, z A, if xRy and yRz, then xRz. R is an equivalence relation if A is nonempty and R is reflexive, symmetric and transitive.

That is: don't use more than two elements; and don't use any particular elements. Be generic. Now {a}∩{b}=∅ and {b}∩{a}=∅ but {a}∩{a}≠∅. So the relation on any such S is not transitive.

Remember that the domain of R in this instance refers to the subset of X for which R is defined. The error occurs when we think that the domain R encompasses the entire set X, yet it is possible that R is not defined for all of X's components.

Remember the following instance:

X = {2,4,6}.

R can be defined as follows: (2,2, 4, 4, 2, 4, 2). Since we lack the element (6,6), we can easily verify that this relation is transitive and symmetric, but it is not reflexive.

Therefore,

( a , b ) → R ( x , y )

as x and b ∈ y

(a) A relation R in a set A is not reflexive if there be at least one element a ∈ A such that (a, a) ∉ R. Consider, for example, a set A = {p, q, r, s}. The relation R1 = {(p, p), (p, r), (q, q), (r, r), (r, s), (s, s)} in A is reflexive, since every element in A is R1-related to itself.

(b) Now {a}∩{b}=∅ and {b}∩{a}=∅ but {a}∩{a}≠∅. So the relation on any such R is not transitive.

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Answer:

4x² + 16x + 13

Step-by-step explanation:

4(x² + 4x + 2) + 5

4x² + 16x + 8 + 5

4x² + 16x + 13

Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.

Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.

So the expression becomes:

-14 + 8

To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:

(-14) + (8) = -14 * 1 + (-14) * 8

This can be simplified as:

-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)

Finally, we can add the two negative numbers to get the result:

-14 + (-112) = -126

Therefore, the expression -14 - (-8) factors completely as -126.

We may predict that, when rοunded tο the clοsest whοle number, 185 persοns οught tο be present at Sοcial Prοblems οn Sunday.

Detailed numbers the set οf integers that cοntains zerο and the natural numbers. nοt a decimal and fractiοn. Integer 0 thrοugh 2, 3, 4, 5, 6, 7, 8, 9, 10, and sο οn. a cοunting number, a negative number, οr zerο.

The library saw a sum οf 416 + 448 + 341 = 1205 visitοrs οn Saturday. By dividing the entire number οf visitοrs by the number οf visitοrs whο visited Sοcial Prοblems, and then multiplying the result by 100% tο represent the results as a percentage, we can determine what percentage οf these visitοrs visited Sοcial Issues:

Percentage οf visitοrs whο went tο Sοcial Issues = (448 ÷ 1205) x 100%

Percentage οf visitοrs whο went tο Sοcial Issues ≈ 37.18%

We may assume that a similar percentage οf Saturday's visitοrs will return οn Sunday in οrder tο estimate the number οf persοns whο can be expected tο attend Sοcial Prοblems οn that day. Tο determine hοw many peοple will visit Sοcial Prοblems οn Sunday, we can utilize the prοpοrtiοn mentiοned abοve:

Estimated number οf visitοrs tο Sοcial Issues οn Sunday = (37.18% οf 500 visitοrs)

Estimated number οf visitοrs tο Sοcial Issues οn Sunday ≈ 185

We may calculate that, if we rοund tο the next whοle number, 185 persοns shοuld be anticipated tο attend Sοcial Prοblems οn Sunday.

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The number of solutions to the equation y = ( 7/10 )x + 6y is infinite number of solutions as the equations are the same

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

y = ( 7/10 )x + 6y   be equation (1)

Let the second equation be represented as B

The value of B is

y = ( 7/10 )x + 6y   be equation (2)

Now , on simplifying both the equations , we get

equation (1) = equation (2)

Substituting the values in the equation , we get

( 7/10 )x + 6y = ( 7/10 )x + 6y

So,  the system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.

Hence , the number of solutions to the equations are infinite

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1. The mean age of the team is 21 years.

2. The age of the new player is 34 years

1. From the information, the following can be deduced:

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

Mean = Age × Frequency / Sum of frequency

= [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]

= 38 + 60 +21 + 88 + 23 = 230

Sun of frequency = 2 + 3 + 1 + 4 + 1= 11

Mean(X) = 230 / 11

X = 21

The mean is 21 years.

2. A new player joins and raises it to 22 years. Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

Cross multiply

264 = 230 + y

y = 264 - 230

y = 34 years

The age is 34 years.

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Complete question

The table shows the ages of players on a football team.

Age

Frequency

a) Work out the mean age of the team.

Round your answer to 1 decimal place.

19

2.

20

3

21

1

b) A new player joins the team and raises

the mean age to 22.

22

4

23

1

Work out the age of this new player

Answer:

The drug have effect on lowering the cholesterol.

Step-by-step explanation:

H₀ : μ₁ - μ₂ = 0

⇒ H₀ : μ₁ =  μ₂

H₁ : μ₁ - μ₂ < 0

⇒H₁ : μ₁ <  μ₂

Now,

given , n₁ = 23 , n₂ = 23

∴ Degree of freedom = v = n₁ + n₂ - 2

                                         = 23 + 23 - 2 = 44

⇒v = 44

Now,

Given, level of significance = 5% = 0.05

For the given significance level, critical time t = 1.68

As

Decision rule states that'if t < 1.68 , reject H₀

Now,

For Drug:

mean = m₁ = 195

SD = d₁ = 35

People = n₁ = 23

For placebo :

mean = m₂ = 245

SD = d₂ = 31

People = n₂ = 23

Now,

Variance = \(\frac{(23-1)35^{2} + (23-1)31^{2} }{23 + 23 - 2}\)  = 1093

Standard Deviation, S = 33.06

Point estimate = m₁ - m₂ = 195 - 245 = -50

Standard deviation error = S×(\(\frac{1}{n_{1} } + \frac{1}{n_{2} }\) ) = 9.75

Now,

Test statistics = \(-\frac{50}{\sqrt{9.75} } = -5.13\)

⇒ t < 6.13

⇒Reject H₀

⇒The drug have effect on lowering the cholesterol.

Answer:

F

Step-by-step explanation:

This is very simple. 1/4 of 180 is 45. Do 180-45 to get 135. 1/3 of 180 is 60. Do 135-60 to get 75. F is the answer.

Answer:

F. 75

Step-by-step explanation:

\(\frac{1}{1}\) is equal to all the kids in the class.

\(\frac{4}{4}-\frac{1}{4}=\frac{3}{4}\) = Kids who did not get an A

\(\frac{3}{4}-\frac{1}{3}\\\frac{9}{12}-\frac{4}{12} =\frac{5}{12}\) Kids who did not get an A or a B (got a C)

180 * \(\frac{5}{12}\) = 75

75 kids got a C.

Have a nice day!

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- Heather

we get that the temperature at 9Am was:

-6°F

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

Answer:

x = 12

Step-by-step explanation:

5x - 30 = 2x + 6

3x = 36

x = 12

Answer:

x=12

Step-by-step explanation:

1) distribute values:

5x-30=2x+6

2) add 30 to both sides

5x=2x+36

3) subtract 2x from both sides

3x=36

4) divide by 3

x=12

The incorrect statement is the reflection is over x-axis.

Given that an image has been reflected to form another image, we need to find the incorrect statement from the given options,

A reflection is known as a flip.

A reflection is a mirror image of the shape.

An image will reflect through a line, known as the line of reflection.

A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

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The incorrect statement is the reflection is over x-axis.

Given that,

an image has been reflected to form another image, we need to find the incorrect statement from the given options,

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

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Answer:

Step-by-step explanation:

Diameter = 84 km

Radius = 84/2 = 42 km

Area of circle = πr²

                      = 3.14 * 42 * 42

                      = 5538.96 km²

Answer:

f(- 1) = 10

Step-by-step explanation:

using the rule of exponents

\((\frac{a}{b}) ^{-1}\) = \((\frac{b}{a}) ^{1}\) = \(\frac{b}{a}\)

to find f(- 1) substitute x = - 1 into f(x)

f(- 1) = 5\((\frac{1}{2}) ^{-1}\) = 5 × \(\frac{2}{1}\) = 5 × 2 = 10

Answer:

1= 41

2= 85

3= 95

4= 85

5= 36

6= 49

7= 106

Step-by-step explanation:

I'm going to go in the order I filled them in.

3: angles that are across from each other are the same. 3 is across from the angle measured 95, so that's what 3 is.

4: We know that a line is 180 degrees. So, subtract 95 from 180:

180 - 95 = 85.

2: same for four, because two angles across from each other are the same.

5: Similar to 2 and 4. A line is 180. So, we subtract 144 from 180:

180 - 144 = 36

7: Use the large triangle on the right (the one with 38, number 7, and number 5). A triangle's angles always add up to be 180. So, subtract 38 and 36(answer to number 5) from 180:

180 - 38 - 36 = 106

6: Use the small triangle in the middle (angles 3, 5 and 6). We know angle 3 is 95 and angle 5 is 36. A triangle's angles are 180, so subtract:

180 - 95 - 36 = 49

1: Use the left triangle (angles 1, 6 and the 90 degree angle). We know angle 6 is 49, so subtract. Remember, a square in the corner is 90 degrees:

180 - 90 - 49 = 41

I hope this helps :)

The measure of angles are;

Angle 1= 41, Angle 2= 85, Angle 3= 95, Angle 4= 85, Angle 5= 36, Angle 6= 49, Angle 7= 106

Two angles whose sum is 90° are called complementary angles.

Third angles that are across from each other are the same. 3 is across from the angle measured 95, so,

We know that a line is 180 degrees. So, subtract 95 from 180:

180 - 95 = 85.

Now same for four, because two angles across from each other are the same.

Similar to 2 and 4. A line is 180. thus, we subtract 144 from 180:

180 - 144 = 36

Now Use the large triangle on the right (the one with 38, number 7, and number 5).

A triangle's angles always add up to be 180. then, subtract 38 and 36(answer to number 5) from 180:

180 - 38 - 36 = 106

The measure of angles are;

Angle 1= 41, Angle 2= 85, Angle 3= 95, Angle 4= 85, Angle 5= 36, Angle 6= 49, Angle 7= 106

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Answer:

The new, 2 person ATV can travel 91 more miles than the new, 6 person ATV

Step-by-step explanation:

26% more than 350 = 441
441 miles - 350 miles = 91 more miles

Answer:

8 yd = 7.2192 m

4.79 ft = 1.4499 m

7.2192 m + 1.4499 m = 8.6691 m

8.6691 m x 100 cm = 866.91 cm

Answer:

i wish i could understand what you sre saying so i could help

Answer:

Step-by-step explanation:gày 24/01/2014, Báo Người Lao động đưa thông tin: “Số liệu thống kê cho thấy nếu năm 2010, lượng

kiều hối đổ về Việt Nam đạt mức 8,26 tỉ USD thì đến năm 2011 đã tăng 9 tỉ USD. Năm 2012, con số

này cán mức 10 tỉ USD, đưa Việt Nam lọt vào danh sách 10 nước nhận kiều hối cao nhất thế giới. Đến

năm 2013, Việt Nam tiếp tục đón dòng kiều hối lên đến 11 tỉ USD, cao hơn so với mức dự báo 10,6 tỉ

USD của Ngân hàng Thế giới (WB) và tiếp tục đứng trong danh sách 10 quốc gia nhận kiều hối nhiều

nhất thế giới.”

a. Trong điều kiện các yếu tố khác không đổi thì việc lượng kiều hối tăng mạnh sẽ ảnh hưởng

như thế nào đến tỷ giá hối đoái tại thị trường Việt Nam (giải thích ngắn gọn) và minh họa bằng

đồ thị mô hình cung, cầu ngoại tệ.

b. Giả sử Việt Nam áp dụng chế độ tỷ giá cố định thì Ngân hàng Trung ương cần làm gì để ổn

định tỷ giá trong trường hợp nêu ở câu

Answer:

master card

Step-by-step explanation:

Cause master card would charge me low interest from the rest of the cards.

So ,to save money I would choose master card

Answer:

$7,256.07

Step-by-step explanation:

A = p(1+r/n)^nt

A = 4000(1+.06/4)^(10*4)

The value of x in this problem, considering the intersecting chords, is given as follows:

x = 10.

A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Hence the value of x is obtained as follows:

12x = 15 x 8

12x = 120

x = 10.

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If Point A is located at (1, 2) and Point B is located at (4, 6), the length of the line between points A and B is 5 units.

To determine the length of the line between points A and B, we can use the distance formula, which is a formula used to calculate the distance between two points in a coordinate plane. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.

Using the coordinates of points A and B, we can substitute their values into the distance formula to find the length of the line between them:

d = √((4 - 1)² + (6 - 2)²)

d = √(3² + 4²)

d = √(9 + 16)

d = √25

d = 5

Rounded to the nearest whole number, the length of the line is also 5 units.

In conclusion, we can use the distance formula to find the length of the line between two points in a coordinate plane. The distance formula uses the coordinates of the two points to calculate the distance between them. The resulting distance can be rounded to the nearest whole number, if needed.

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Answer:

A) 15 m, 20 m, 25 m forms a right triangle.

Answer:

4/35

Step-by-step explanation:

Probability of 1 student having no hw is 4/7, then 3/6, then 2/5

4/7 x 3/6 x 2/5 reduces to 4/35

Answer:

Step-by-step explanation:

To show that x-3 and x+5 are factors of x^4+2x^3-16x^2-2x+15, we can use polynomial division, synthetic division, and the Remainder theorem.

Using long division, we can divide x^4+2x^3-16x^2-2x+15 by x-3:

x^4 + 2x^3 - 16x^2 - 2x + 15

÷ x - 3

_________________________

  x^3 + 5x^2 - 14x - 12

   |__________

      -3x^3 + 17x^2 + 26x + 36

          |_________

                -14x^2 - 23x - 36

                     |_________

                          -15x + 72

                               |___

                                  57

So, the remainder is 57, which means x^4 + 2x^3 - 16x^2 - 2x + 15 = (x - 3)(x^3 + 5x^2 - 14x - 12) + 57.

Using synthetic division, we can divide x^4 + 2x^3 - 16x^2 - 2x + 15 by x+5:

1   2    -16   -2   15

   x + 5 |x^4 + 2x^3 - 16x^2 - 2x + 15|

____________________________

        x^3 - 3x^2 + 21x + 75

So, the remainder is 0, which means x^4 + 2x^3 - 16x^2 - 2x + 15 = (x + 5)(x^3 - 3x^2 + 21x + 75).

Using the Remainder theorem, we know that if a polynomial p(x) is divided by x-a, the remainder is p(a). So, when we plug in x=3, the remainder should be p(3) = 57. When we plug in x=-5, the remainder should be p(-5) = 0. This confirms that x-3 and x+5 are indeed factors of x^4 + 2x^3 - 16x^2 - 2x + 15.

Answer:

794.1 ÷ 76.1= 10.4349.54

Round to the nearest whole number = 6

Round to the nearest tenth=5.6

Round to the nearest Hundredths=5.63

Round to the nearest Thousandth=5.635

Answer:

28

Step-by-step explanation:

4 x 7 = 28