which is the characteristic of a line

The right-hand rule is used to determine the direction of angular velocity and angular momentum when an object rotates 180 degrees. If the rotation is counterclockwise, the thumb points up, and if clockwise, it points down.

The Counterclockwise and Clockwise Rules for 180 degrees of rotation are principles used to determine the direction of angular velocity and angular momentum in a rotating system.

When an object rotates counterclockwise as viewed from above, the right-hand rule can be used to find the direction of its angular quantities.

To do this, point your thumb upward while the fingers of your right hand curl in the direction of rotation; your thumb will then point in the direction of the angular velocity vector and angular momentum.

Conversely, if the rotation is clockwise, the thumb would point downward, indicating the opposite direction for angular velocity and angular momentum.

An understanding of these rules is crucial in physics, especially when studying rotational motion and the effects of torque.

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b. 113 + 154 = 267 is a way of estimation to check 267 - 154 = 113.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given a numerical expression 267 - 154 = 113.

The correct elimination is we must add 154 to both sides to eliminate 154 on LHS and add 154 on RHS.

∴ 267 - 154 = 113 is

267 + 154 - 154 = 113 + 154,

113+154=267

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Answer:

  (d)  m < -2k -9d +5

Step-by-step explanation:

You want to solve for m in the inequality 18d + 2m + 9k < 5k + 10.

We notice m is in a linear term on one side of the inequality. We can identify the other terms there, and subtract them from both sides. This gives ...

  [tex]18d + 2m + 9k < 5k + 10\qquad\text{given}\\\\18d + 2m + 9k -(18d +9k) < 5k + 10 -(18d +9k)\qquad\text{subtract terms without m}\\\\2m < -4k-18d+10\qquad\text{simplify}\\\\\dfrac{2m}{2} < \dfrac{-4k-18d+10}{2}\qquad\text{divide by 2}\\\\\boxed{m < -2k-9d+5}\qquad\text{matches choice D}[/tex]

Set builder notation is elements of solution set of inequality is greater than 4.

The given inequality is 9t - 4 > 32.

A set-builder notation describes the elements of a set instead of listing the elements. For example, the set {5, 6, 7, 8, 9} lists the elements. We read the set {x is a counting number between 4 and 10} as the set of all x such that x is a number greater than 4 and less than 10.

The solution to the inequality 9t - 4 > 32 can be solved as follows:

Add 4 on both the sides of the inequality.

That is, 9t - 4 + 4 > 32 + 4

⇒ 9t > 36

Divide 9 on both the sides of the inequality.

That is, 9t ÷ 9 > 36 ÷ 9

⇒ t > 4

Set builder notation is elements of solution set is greater than 4.

Therefore, set builder notation is elements of solution set of inequality is greater than 4.

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The value of each blank tenth is 0.5 for the 3 groups of blanks.

To solve this problem, we can set up an equation. Let's use 'x' to represent the number of blanks tenths.

An expression in mathematics is a grouping of digits, variables, operators, and symbols that depicts a connection or calculation. It may consist of a single phrase or a group of terms joined together by operators.

The problem states that 3 groups of blank tenths equals 1.5. This can be written as 3x = 1.5.

To isolate x, we divide both sides of the equation by,

3x/3 = 1.5/3.

x = 0.5.

Therefore, the value of each blank tenth is 0.5.

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Answer:

324

Step-by-step explanation:

Given : y varies directly as the square of x

To Find : Find y when x=9

Solution :

We are given that y varies directly as the square of x

[tex]\Rightarrow y \propto x^2[/tex]

So, [tex]\Rightarrow y= kx^2[/tex] ---1

where k is the constant of proportionality

Now we are also given that y=100 when x=5.

Substitute the values in 1

[tex]100= k(5)^2[/tex]

[tex]100= 25k[/tex]

[tex]\frac{100}{25}=k[/tex]

[tex]4=k[/tex]

So, equation becomes  [tex]y= 4x^2[/tex]

Now substitute  x= 9

[tex]y= 4(9)^2[/tex]

[tex]y=324[/tex]

Hence The value of y when x is 9 is 324

Point E(0,-2) is a vertex of a square DEFG, After a 90degrees clockwise rotation of the square about the origin has point E(2, 0).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, Point E(0,-2) is a vertex of a square DEFG, After a 90degrees clockwise rotation of the square about the origin,

∴ Rotating 90 degrees clockwise, you (x, y) becomes (-y, x).

So, point E will have a location of (-(-2), 0) which is (2,0).

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1 hour = 60 minutes

divide 60 by 3/4

60/1 / 3/4 = 60/1 * 4/3 = 340/3 = 80 times

Answer:

amount of salad by each person  = 0.21  pounds

Step-by-step explanation:

Lilian bought 2.52 pounds of  tomatoes and 1.26 pounds of lettuce to make salad for 18 people.  That means the combined weight in pounds of tomatoes and lettuce is the weight of the salad.

The weight of the salad = 2.52 + 1.26

The weight of the salad = 3.78  pounds

The total weight of the salad is 3.78 pounds . He shared the weight to 18 people and each person collected the same amount.

To find the amount each person got, we divide 3.78 by 18 people.

amount of salad by each person = 3.78/18

amount of salad by each person  = 0.21  pounds

Final answer:

Mr. Brown's retirement account with a principal of $410,000 at an annual interest rate of 3.85% will earn $15,785 each year.

Explanation:

Mr. Brown has an investment in a retirement account with a principal amount of $410,000 that earns an annual interest rate of 3.85%. To calculate the amount of interest earned each year, we can use the simple interest formula:

Interest = Principal × Rate × Time

Since we want to find the interest for one year, Time is equal to 1. Plugging in the numbers:

Interest = $410,000 × 0.0385 × 1

Interest = $15,785

Therefore, Mr. Brown's investment will earn $15,785 per year at an interest rate of 3.85%.

There are 50 yards in 150 feet.

To convert feet to yards, we need to know that there are 3 feet in a yard. Therefore, to find out how many yards are in 150 feet, we divide the number of feet by the conversion factor of 3.

150 feet ÷ 3 = 50 yards

So, there are 50 yards in 150 feet.

To understand why this conversion works, we can think about the relationship between feet and yards. One yard is defined as 3 feet, meaning it is three times longer than a single foot. Therefore, when we have a certain number of feet, we can divide it by 3 to determine how many times the length of one yard fits into that measurement. In this case, 150 feet can be divided evenly into 50 groups of 3 feet, which gives us 50 yards.

In summary, there are 50 yards in 150 feet, and this conversion is derived from the fact that one yard is equivalent to 3 feet.

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The domain and range of the relation will be [−4, −1, 1, 2, 2] and [−3, 1, 2, 5, 7], respectively. The relation is a function.

The domain means all the possible values of x and the range means all the possible values of y.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given in the form of a coordinate.

f = {(2, 1), (−4, 5), (1, 7), (2, −3), (−1, 2)}

The domain of the function will be

D = [−4, −1, 1, 2, 2]

And the range of the function will be

R = [−3, 1, 2, 5, 7]

The domain and range of the relation will be [−4, −1, 1, 2, 2] and [−3, 1, 2, 5, 7], respectively.

The relation is a function because the values of the ordinate are different.

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Answer:

First  friend gets $18, second  friend gets  $27, third  friend gets  $45

Step-by-step explanation:

The ratio means that each person get different quantity.

The total amount must be divided between the 3 persons in the following way

First  person gets 2 parts

Second  person gets 3 parts

Third  person gets 5 parts

If we add all parts,  we get 10 parts,if we divide the total payment we get how much is each part,  in this case $90 / 10 , so $9

Each part is $9. To get how much will get each friend , we multiple the quantity of parts by the value of them.

First  person gets 2 parts, that means $18

Second  person gets 3 parts that means $27

Third  person gets 5 parts that means $45

Answer: By measuring its density which should come out to be [tex]10.5cm^3[/tex] at [tex]20^0C[/tex]

Step-by-step explanation:

Density is defined as the mass contained per unit volume.

[tex]Density=\frac{mass}{Volume}[/tex]

Density of a substance is an intensive property and it does not depend on the amount of matter contained in the substance. It is specific of a compound and thus can be used to know the purity of substances.

Density of silver is [tex]10.5g/cm^3[/tex] at [tex]20^0C[/tex].

Thus if density comes out to be different from the standard value , it means the silver is impure.