What is the Algebraic Notation for this reflection?

A (x,y) ---> (y,x)
B (x,y) ---> (-x,y)
C (x,y) ---> (-y,-x)
D (x,y) ---> (x,-y)

Answer:

x<16

Step-by-step explanation:

it is proportional

cause it is trust me

Answer: it's proportional

Step-by-step explanation:

The fraction of the grapes Bob eat 13/14 of the grapes in his lunch.

The fraction of grapes that Bob eat, to the total number of grapes he had and subtract the number of grapes he eat.

Bob packed twenty grapes and a pear in his lunch,

so he had a total of 20 + 1 = 21 items in his lunch.

He eat thirteen grapes and the pear,

which means he consumed a total of 13 + 1 = 14 items.

To calculate the fraction of grapes he eat, divide the number of grapes he ate (13) by the total number of items he consumed (14),

Fraction of grapes Bob ate = 13/14.

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The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.

A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.

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The solutions to the questions are given below

a)

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25

b)R =0.75

c)

The table below shows sample means in the table.

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25

b)

Generally, the equation for is  mathematically given as

variation in the sample means

R =maximum -minimum

R=4.25-3.5

R =0.75

c)

In conclusion, In most cases, the mean of many samples will provide a more accurate estimate than the mean of a single sample.

They may have a higher level of confidence in their estimate if the range of the sample means is closer to 0 than it is now.

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i would love to help but i just need free points

Step-by-step explanation:

The amount of grain can the container hold is 953.78 inch³ as it in the form of cylinder

Diameter of cylinder = 9 in

Radius of cylinder = 9 / 2 in

Radius of cylinder = 4.5 in

Height of cylinder = 15 inch

Volume of cylinder = Amount of grain can this container hold

Volume = πr²h

Substitute the values of radius and height

Volume = (3.14)(4.5)²(15)

Amount of grain can this container hold = 953.78 inch³

Hence, the amount of grain can the container hold is 953.78 inch³

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Answer:

Mary has 7 flowers

Peter has 1 flower

John has 2 flowers

Step-by-step explanation:

M + P + J = 10

J = 2P

M + P + 2P = 10

M + 3P = 10

P = 1

M + 3 = 10

M = 7

The correct answer is The standard deviation for Portfolio P is less than 25

This response is accurate because a portfolio made up of two stocks with a correlation of less than one will always have a standard deviation that is lower than the standard deviation of the stocks added in accordance with their weight in the portfolio. For example, in this scenario, both stocks have a weight of 50% and a standard deviation of 25%, so their sum will be.

The portfolio standard deviation will be smaller than 25% since (0.5*25%) + (0.5*25%) = 25%.

Therefore, the standard deviation for Portfolio P is less than 25

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Answer:

(x-y)(x+y+z)

Step-by-step explanation:

\(x^{2} +xz-y^{2} -yz\\x^{2} -y^{2} +z(x-y)\\(x+y)(x-y)+z(x-y)\\(x-y)(x+y+z)\\\)

Answer:

(x - y)(x + y + z)

Step-by-step explanation:

Given

x(x + z) - y(y + z) ← distribute both parenthesis

= x² + xz - y² - yz ← rearrange

= x² - y² + xz - yz ← x² - y² can be factored as a difference of squares

= (x - y)(x + y) + z(x - y) ← factor out (x - y) from each term

=(x - y)(x + y + z)

The estimated number of pieces of mail are sent each year worldwide is equal to 425 billion.

Percent of world's total mail US Postal Service handles = 40% .

Let X be the total number of pieces of mail sent worldwide each year.

The US Postal Service handles pieces of mail each year   = 170,000,000,000 .

Which is equal to 40% of X.

Required equation for the estimated data we have,

170,000,000,000 = 0.4X

Solve for X.

Divide both sides of the equation by 0.4 we get,

⇒ X = 170,000,000,000 / 0.4

⇒ X = 425,000,000,000

Therefore, it is estimated that approximately 425 billion pieces of mail are sent each year worldwide.

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The given question is incomplete, I answer the question in general according to my knowledge:

The U.S postal service handles 170,000,000,000 pieces of mail each year. this is 40% of the worlds total. How many pieces of mail are sent each year?

Answer:

15%

Step-by-step explanation:

3162.50-2750=412.50

changed÷original×100

=412.50÷2750×100

=15%

The mean of the following data is 0.1800

acc to our question-

hence,The mean of the following data is 0.1800

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We need to use mathematical logic to prove that the cardinality of the cross product of two sets is the cardinality of each individual set multiplied by each other.

     Let's take an example of two sets A and B.

      Let's say, A={a, b} and B={1, 2, 3}

      To find the cardinality of the cross-product of A and B, we need to make all possible ordered pairs with A and B.

             {(a, 1), (a, 2), (a, 3), (b, 1), (b, 2), (b, 3)}

 Counting the number of ordered pairs, we get six.

  So, the cardinality of the cross-product of two sets A and B equals the cardinality of each set multiplied by the other. Here,

           |A| = 2 and |B| = 3,

          so |A x B| = 2 x 3

                           = 6.

          Therefore, it is proved that the cardinality of the cross product of two sets is the cardinality of each individual set multiplied by each other.

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Answer:

y=-4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Total money earned=40*8.95=358

Total money earned after deductions=358-(35.24+24.82+21.33)=276.61

The image of the point (0,4) after a 180° counterclockwise rotation about the origin is (0, -4).

To find the image of a point (0,4) after a 180° counterclockwise rotation about the origin, we can follow these steps:

Therefore, the image of the point (0,4) after a 180° counterclockwise rotation about the origin is (0, -4).

By performing a 180° counterclockwise rotation, we essentially mirror the point across the origin, with the y-coordinate changing sign while the x-coordinate remains unchanged.

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Answer:

-32

Step-by-step explanation:

a = -4

x = 4

7(-4) - (4)

-28 - 4

-32

Answer:

-32

Step-by-step explanation:

=7a-x

=7(-4)-(4)  (When a=-4 ,x=4 )

=-28-4

= -32

Answer:

  1.6 L or 1600 mL

Step-by-step explanation:

You want to know the total volume of one 0.9 L box and two 350 mL boxes.

The units are related by ...

  1 L = 1000 mL

Then the volumes of the given boxes are ...

  0.9 L = 900 mL

  350 mL = 0.35 L

You can add the volumes in either of the like units:

  900 mL + 2 × (350 mL) = 1600 mL

  0.9 L + 2 × (0.35 L) = 1.6 L

The total volume of the juice boxes is 1.6 L or 1600 mL.

__

Additional comment

You can convert the units a couple of ways.

Because the fraction has equal measures in the numerator and denominator, it does not change the size of the volume. It only changes the units of the volume.

The distance between the two cyclists changing exists 38.4 meters per second.

A differential equation in mathematics exists an equation that links the derivatives of one or more unknown functions. Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.

A differential equation in mathematics is an equation that includes one or more functions and their derivatives. The rate of change of a function at a place is determined by the derivatives of the function. It is mostly employed in disciplines like physics, engineering, biology, and others.

There exists at least a couple of ways to work this. One exists to write the equation for the distance between the cyclists and differentiate it.

d² = (3900 + 32t)² + (5200 + 24t)²

simplifying the above equation, we get

(2d)d/dt = 2(3900 + 32t)(32) +2(5200 + 24t)(24)

At t = 0,

dd/dt = (32·3900 + 24·5200)/√(3900² + 5200²)

simplifying the above equation, we get

= (124800 + 124800)/√(15210000 + 27040000)

= 249600/6500 = 38.4 meters per second

Therefore, the distance between the two cyclists changing exists 38.4 meters per second.

The complete question is:

A road running north to south crosses a road going east to west at the point P. Cyclist A is riding north along the first road, and cyclist B is riding east along the second road. At a particular time, cyclist A is 39 hundred meters to the north of P and traveling at 32 meters per second, while cyclist B is 52 hundred meters to the east of P and traveling at 24 meters per second. How fast is the distance between the two cyclists changing?

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Answer:

70.4

Step-by-step explanation:

the aquare root of 40.96 is 6.4

so,64+6.4=70.4

Answer: No

Step-by-step explanation:

The -5 in the x value repeats itself. There can only be one x value for it to be a function.

Answer:

No

Step-by-step explanation:

It does not pass the vertical line test.

Vertical Line Test -Draw | anywhere at an x -coordinate and no x should repeat, we can see in the picture that two points have the x=coordinate of -5

(A ∩ B)' is the complement of A ∩ B, or the set of all elements in the universal set U that do not belong to A ∩ B.

A ∩ B is the intersection of A and B, or the set of all elements common to both A and B.

We have

A = {q, s, u, w, y}

B = {q, s, y, z}

so that

A ∩ B = {q, s, y}

Then

(A ∩ B)' = {r, t, u, v, w, x, z}

which makes (c) the answer.

Answer:

(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") ... This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

Step-by-step explanation:

The equation of parabola will be x² = 3y.

A parabola is a curve which forms by joining all the points which are at an equal distance from a fixed point (the focus) and a fixed straight line (the directrix).

Given is a parabolic headlamp has a bulb placed at the focus. A cross-section of the parabola is 6 cm deep and 12 cm wide.

The general equation of a parabola that opens up with vertex at the origin as -

x² = 4py

We have -

x = 6 cm

y = 12 cm

So, we can write -

36 = 4p x 12

4p = 3

p = 3/4

So the equation of parabola would be -

x² = 4py

x² = 4(3/4)y

x² = 3y

The equation of the parabola will be x² = 3y

Therefore, the equation of parabola will be x² = 3y.

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The fifth-degree Taylor polynomial for g(x) about x=0. is\(g(x) = 1 + x - x^{3}/3! + x^{5}/5! - x^{7}/7! + x^9/9!\)

We are given the function f(x) and the function g(x) defined by:

g(x) = 1 + ∫[0, x] f(t) dt

We need to find the first three nonzero terms and the general term of the Taylor series for cos(x) about x=0, and then use this series to write the first three nonzero terms and the general term of the Taylor series for g(x) about x=0. Finally, we will use the Taylor series for g(x) to determine whether f(x) has a relative minimum, maximum, or neither at x=0.

The Taylor series for cos(x) about x=0 is given by:

\(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

The first three nonzero terms are:

\(cos(x) = 1 - x^2/2! + x^4/4!\)

The general term of the series is:

\((-1)^n x^{(2n)} / (2n)!\)

Now, we can use this series to write the Taylor series for g(x) about x=0. We have:

g(x) = 1 + ∫[0, x] f(t) dt

Taking the derivative of g(x), we get:

g'(x) = f(x)

Taking the derivative of g'(x), we get:

g''(x) = f'(x)

And so on, we can take the nth derivative of g(x) to get:

\(g^{(n)(x)} = f^{(n)(x)\)

Using the Taylor series for cos(x), we can  write:

g(x) = 1 + ∫[0, x] f(t) dt

\(= 1 + x - x^3/3! + x^5/5! - x^7/7! + .\)..

= cos(x) + ∫[0, x] (f(t) - cos(t)) dt

The first three nonzero terms are:

\(g(x) = 1 + x - x^3/3!\)

The general term of the series is:

(-1)^n ∫[0, x] (f(t) - cos(t)) dt * x^(2n) / (2n)!

To determine whether f(x) has a relative minimum, maximum, or neither at x=0, we need to look at the sign of the second derivative of g(x) at x=0. We have:

g''(x) = f''(x)

Therefore, g''(0) = f''(0). Since we don't have any information about the sign of f''(0), we cannot determine whether f(x) has a relative minimum, maximum, or neither at x=0.

Finally, to write the fifth-degree Taylor polynomial for g(x) about x=0, we need to include the first five nonzero terms of the series:

\(g(x) =1 + x - x^3/3! + x^5/5! - x^7/7! + x^9/9!\)

This is the fifth-degree Taylor polynomial for g(x) about x=0.

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Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.

Consider a standard normal random variable z. If the area to the right of z is 0.3336, the value of z can be found using the standard normal distribution table. The standard normal distribution table gives the area to the left of a given z-score. Since we are given the area to the right of z, we subtract 0.3336 from 1 to get the area to the left of z. This gives us an area of 0.6664 to the left of z on the standard normal distribution table. The closest value of z that corresponds to this area is 0.43. Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43. The value of z, when the area to the right of z is 0.3336, is approximately 0.43.

Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.

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