Which is an empty set?

{x|x € U andx is prime}

O {x|x E U and 2x is prime}

{x|x € U and x can be written as a fraction}

{x|x E U and 2x can be written as a fraction}

Options 3 and 4 are **empty sets**.

Well-defined collection of objects or elements is called sets in mathematics. Set having no elements is known as empty set.

We can also define finite and infinite **sets **based on the number of elements in a set. An **empty set** is denoted by the symbol '∅' and is read as 'phi'.

**Given** U = {x|x is a positive integer greater than 1},

It is not an empty set ,if the set has elements such that x is prime or 2x is prime( positive integer greater than 1).

As the elements in the option 3 and 4 are **fractions**, therefore they are **empty set **as integers don't include fractions or decimals. **Intege**r, also known as whole number, is any positive or negative number in which decimal parts or fractions is not included.

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25y²-90y+81

Factor the polynomial completely

**Answer:**

The answer is

[tex] {(5y - 9)}^{2} [/tex]

**Step-by-step explanation:**

factor

[tex] {(25y }^{2} - 90y + 81)[/tex]

get the GCF of 25,-90,81=1

get the square root of leading terms

[tex] \sqrt{25 {y }^{2} } = 5y \: and \: \sqrt{81} = 9[/tex]

the final answer is

[tex] {(5y -9) }^{2} [/tex]

Draw a coordinate plane on your paper. Then

plot the points on your coordinate plane.

A(3, 1) B(2, 4) C(4, 1) D(1, 5)

**Answer:**

**yw:) have a good day :)**

Wes wants to treat his friends to some arcade games. He has 50 game tokens. Which three responses show a number of friends Wes could divide his tokens among evenly?

The three **responses** that can show a number of friends Wes could divide his tokens among evenly include:

25 tokens each for 2 friends.

5 tokens each for 5 friends.

10 **tokens** for 5 friends.

From the information, **Wes** wants to treat his friends to some arcade **games**. He has 50 game tokens.

It should be noted that this information simply wants you to illustrate the **factors** of 50.

Therefore, the factors are 2, 5, 10, 25 and 50.

Therefore, 25 for 2 friends will be 50. Same with 5 for 10 **friends**. In this case, it should be noted that 25 × 2 = 50 and 5 × 10 = 50. This gives the original value and shows how he can divide the **game** **tokens** equally.

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write an equation which relates the figure number x to the number of tiles y

Write an equation which relates the figure number x to the number of tiles y

x= increase a row of 4 per image

y = 1 + 4*x

Figures

1

y = 1 + 4*(1) = 5

2

y = 1 + 4*(2) = 11

3

y = 1 + 4*(3) = 13

__________________

Answer

The equation which relates the figure number x to the number of tiles y is

y = 1 + 4x

_

Can you see the updates?

Do you have any questions regarding the solution?

please help me!! 25 points!

The **location** of **point** P such that the **ratio** AP / PB = 2 / 3 is (1, - 2).

What are the coordinates of a point that partition a line segment?

In this question we have the location of two **endpoints** of a **line segment**, **point** A (3, 0) and **point** B (- 2, - 5). About the line segment, we are asked to find the **coordinates** of a point P such that the following **ratio** is met:

AP / PB = 2 / 3

3 · AP = 2 · PB

3 · [P(x, y) - A(x, y)] = 2 · [B(x, y) - P(x, y)]

3 · P(x, y) - 3 · A(x, y) = 2 · B(x, y) - 2 · P(x, y)

5 · P(x, y) = 3 · A(x, y) + 2 · B(x, y)

P(x, y) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)

P(x, y) = (3 / 5) · (3, 0) + (2 / 5) · (- 2, - 5)

P(x, y) = (9 / 5, 0) + (- 4 / 5, - 10 / 5)

P(x, y) = (9 / 5, 0) + (- 4 / 5, - 2)

P(x, y) = (1, - 2)

The **location** of **point** P is (1, - 2).

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Amy runs 7 miles in 53 minutes how many miles per minute

The **distance** run by Amy per minute is 0.132 miles.

Given,

The distance run by Amy = 7 miles

**Time taken** by Amy to cover this distance = 53 minutes

We have to find the distance covered by Amy in one minute.

So,

Distance covered by Amy per **minute** = x

Then,

7 / 53 = x / 1

7 × 1 = x × 53

Here,

x = 7/53

Then,

x = 0.132

That is,

The** distance **run by Amy per minute is 0.132 miles.

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the populations of towns a, b, and c vary exponentially with respect to time. the population of town a increases by 26% every 11 years. what is the annual percent change in the population of town a? % the population of town b decreases by 39% every 13 years. what is the annual percent change in the population of town b? % the population of town c triples every 5 years. what is the annual percent change in the population of town c?

a. 11 year **growth factor** = 1 + (26/100) = 1.26

1-year growth factor = (1.26)^1/11 = 1.0210

Therefore,

1-year **growth percent** = 1.0210 - 1 = 0.0210 %

Answer: 2.10

b. 13-year decay factor = 1 - (39/100) = 0.61

1-year **decay factor** = (0.61)1/13 = 0.9631

Therefore,

13-year decay factor = 1 - 0.9631 = 0.03686 = 3.68%

Answer: 3.68

c. 5-year growth factor = 3

1-year growth factor = (3) ^1/5 = 1.245

Therefore,

1-year **growth factor** = 1.2457 - 1 = 0.2457 = 2.45%

Answer:2.45

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A dealership tracks the correlation between the age of its used cars and asking price for the car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.

Which statements are true regarding this model? Check all that apply.

For every one year in age, the price is predicted to increase by $930.

For every one year in age, the price is predicted to decrease by $930.

If the car is new, the car is predicted to cost $12,338.

If the age of the car is 1 year, the price is predicted to be $12,338.

**Answer:**

**Step-by-step explanation:**

The reasonable price of the car after 4 years will be $8618.

What is regression analysis?

Regression analysis is a group of statistical procedures used in statistical modelling to determine the associations between a dependent variable and one or more independent variables.

Given that a dealership tracks the correlation between the age of its used cars and asking price for a car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.

The price of the car after 4 years will be calculated as follows:-

y = 12338 - 930x

y = 12338 - ( 930 x 4 )

y = 12338 - 3720

y = $8618

Therefore, the reasonable price of the car after 4 years will be $8618.

Answer:

B - For every one year in age, the price is predicted to decrease by $930

C- If the Car is new, the car is predicted to cost $12,338.

Step-by-step explanation:

correct on edge 2022

what are the coordinates of point E

(-8,2) because it is a reflection it only changes the x in (x,y) which would become negative due to nothing changing except the fact that it is on the other side of the y-axis

**Step-by-step explanation:**

E = (-8, 2)

reflected across the y axis means that there is kind of a mirror along the y-axis.

and when you look into that mirror, you see point D as point E all the way on the other side of the mirror, at the same distance from the mirror as point D is. and point E has the same "height" (y) as point D.

since the other side of the mirror represents the negative numbers, the same distance to the mirror means the same amount of negative units away from the mirror for E, as we have positive units away from the mirror for D.

PLEASE HELP SUPER FAST AND ILL GIVE BRAINLEST

Describe in words a sequence of transformations that maps ∆ABC to ∆A''B''C''.

Write an ordered-pair rule for each transformation in the sequence.

**Transformations** that maps ∆ABC to ∆A''B''C'' is [tex]A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)[/tex]

A **coordinate plane** is a** two-dimensional** surface made up of two number lines. It is produced when a horizontal line crosses the origin, which is the location where the **X-axes** and** Y-axes** meet. The numbers on a **coordinate** grid are used to find points. Using a coordinate plane, you may graph points, lines, and many other things. It functions as a map and gives precise driving instructions between two spots.

Reflection about x - axes (x,y)→(x,-y)

Reflection about y - axes (x,-y)→(-x,-y)

combined reflection is reflection about origin.

[tex]A^{'}(5,-3) \\B^{'}(2,-3)\\[/tex]

[tex]C^{'}(4,-1)[/tex]

Shift upward by 1 unit and on right hand side by 3 units

(x,y)→(x+3;y+1)

=[tex]A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)[/tex]

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Could someone help me with this question?

Select the correct answer.

Aster Inc. paid salaries of $28,000 to its employees. How are the balance sheet and income statement affected by this transaction?

Based on the fact that Aster Inc. paid **salaries **to its employees, the effect on the **balance sheet **and the** income statement** is A. Assets ↓ Expenses ↑.

When the **salaries **were **paid **by Aster Inc. to its employees, the effect was that the **assets **decreased. This is because cash was used to pay the salaries and cash is an asset.

**Expenses **will increase because when there is a payment of expenses to employees, it is recorded as a debit to the relevant asset account so this is an increase that will decrease income.

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Solve negative a minus four sevenths equals two thirds for a.

a equals negative 26 over 21

a equals 26 over 21

a equals negative 2 over 21

a equals 2 over 21

The solution for the **linear equation** is a = -26/21, so the correct option is the first one counting from the top.

Here we have a** mathematical statement** that can be written as the following **linear equation:**

-a - 4/7= 2/3

To solve this for a, we just need to isolate a in one of the sides of the **equation**, so let's do taht.

-a - 4/7 = 2/3

a = -4/7 - 2/3

Now we need a** common denominator **in the right side, i will use 21.

a = -12/21 - 14/21 = -26/21

So the correct option is the first one.

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Point P represents a ship outside of a danger circle.What is mZĀC?68°110°84°D81°2658°

26 = (110 - x)/2

52 = 110 - x

x = 110 - 52

**x = 58°**

help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!

**Answer: 9 square inches**

**Step-by-step explanation:**

Can some one pls help!? I have no clue what I’m doing. And I’ve not been given a book to look from

The unknown **angles** are as follows:

An **angle bisector** in geometry is the ray, line, or segment which divides a given** angle** into two equal parts.

In other words, a line that splits an **angle** into two equal **angles**.

Therefore, a bisector of an **angle** 120 degrees bisect the angle into 60 degrees.

Hence, FH bisect ∠EFG into the angles m∠EFH and m∠GFH .

Therefore, m∠GFH and m∠EFH are congruent.

m∠EFG = 119°

Hence,

m∠EFH = m∠GFH

Therefore,

m∠EFH = 119 / 2

Hence,

m∠EFH = 59.5°

m∠GFH = 59.5°

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Mark has a container in the shape of a cube. He uses 64 cubes with sides lengths of 1 inch to completely fill the container.

What is the edge length of the container?

Hint: The volume of the container is 64 cubic inches.

If Mark has a container in the shape of a **cube** and he uses 64 cubes with sides length of 1 inch to completely fill the container, then the edge length of the container is 4 inches

The shape of the container is cube

He uses 64 cubes with side length of 1 inch to completely fill the container

The** volume **of cube with side length of 1 inches = [tex]a^{3}[/tex]

Where a is the side** length of the cube**

= [tex]1^{3}[/tex]

= 1 cubic inches

The volume of 64 cubes = 64×1

= 64 cubic inches

The volume of the container in cub shape = The volume of the 64 cubes with side length of 1 inches

[tex]a^{3}[/tex] = 64

a = 4 inches

Hence, if Mark has a container in the shape of a cube and he uses 64 cubes with sides length of 1 inch to completely fill the container, then the edge length of the container is 4 inches

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Which triangles are congruent by ASA?

The correct answer is [b] ΔHGF and ΔABC.

In geometry, the two figures or objects are said to be **congruent **if their shapes and sizes match, or if one is the mirror image of the other.

In **geometry**, the two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Formally speaking, two sets of points are said to be congruent if—and only if—they can be changed into the one another by an **isometry**, which is a combination of rigid motions like translation, **rotation**, and **reflection**. This indicates that either object may be precisely aligned with the other object by moving and reflecting it, but not by resizing it. So if we can cut out and then perfectly match up two separate plane figures on a piece of paper, they are congruent. The paper may be turned over.

Triangles with two pairs of congruent sides and an included congruent angle are said to be congruent by ASA.

According to the **graph**, sides TU, FG, and BC are congruent, as well as sides TV, HG, and AB. Additionally, it shows that angles G and B are congruent as well as angles U, F, and C. Triangle TUV is eliminated because ASA cannot find another triangle that is equivalent to angle U of triangle TUV using the information provided.

The only triangles left are FGH and ABC. These triangles are congruent by ASA since it is clear that angles G and B are included angles.

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Simplify using long division: fraction with x cubed minus 4 times x squared plus 2 times x plus 2 in the numerator and x minus 1 in the denominator a x squared minus 3 times x minus 1 plus 1 over quantity x minus 1 end quantity b x squared minus 2 times x minus 2 plus 1 over quantity x minus 1 end quantity c x squared plus 2 times x plus 2 plus 1 over quantity x minus 1 end quantity d x squared plus 3 times x minus 1 plus 1 over quantity x minus 1 end quantity

The answer is A x^2-3x-1+1/x-1

The **expression **is x²-3x-1+ 1/ (x-1).

The **mathematical procedure** for **splitting** big **numbers **into **several smaller groups **or sections is known as **long division**. The **dividend **is the **number **we **split** into **smaller** **groups**, while the **divisor **is the **number** by which we **divide**. A difficulty can be solved by breaking it down into manageable parts.

The mathematical procedure for splitting big numbers into smaller groups or pieces is known as long division. A difficulty can be solved by breaking it down into manageable **parts**. **Dividends**, **divisors**, **quotients**, and **remainders** all exist in long **divisions**. When solving an issue involving long division, the dividend—a high number—is divided by the divisor, a smaller number. The **extra amount **that **cannot **be **divided yields** the **quotient**, which is known as the **residual**.

Given:

x cubed minus 4 times x squared plus 2 times x plus 2 in the **numerator **and x minus 1 in the **denominator**=x³ - 4x² + 2x + 2 / x-1

Now, performing the **long division method **we have

= [tex]x^2+\frac{-3x^2+2x+2}{x-1}[/tex]

= [tex]= [x^2-3x+\frac{-x+2}{x-1}[/tex]

= [tex]= (x^2-3x-1)+ 1/ (x-1)[/tex]

Hence, the **simplified division **is x²-3x-1+ 1/ (x-1)

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t+p=

1350

Blank 1:

Р

t

PLEASE HURRY

**Answer:**

135

**Step-by-step explanation:**

two interior angles of a triangle equal to the exterior of the angle that is neither of the interior angles

so in this case

p + t = 135

How do you write 8.61 × 10–1 in standard form?

The **expression **8.61 x 10-1 in **standard form** is 0.861

The **expression **is given as

8.61 x 10-1

Rewrite the **equation **properly as follows

So, we have the following expression

8.61 x 10^-1

Express 10^-1 as 1/10

So, we have the following expression

8.61 x 1/10

Evaluate the **products**

So, we have the following expression

8.61/10

Evaluate the quotient

So, we have the following expression

0.861

Hence, the **expression **is 0.861

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Jade has four slices of chocolate cake.

She gives a slice to Josh, Malaysia, and Jacob.

What fraction of the cake did Jade give away?

Jade give away 3/4 fraction of the cake.

Which equation exemplifies the Associative Property of Multiplication?

O8x0=0x8

O 1+(7+8)= (1+7)+8

O3x6=2x9

O 3(2x4) = (3x2)4

3(2x4)=(3x2)4

I hope this helps.

I hope this helps.

**Answer:**

3(2×4)=(3×4)2

%%%%%%%%

What were William's total fixed and variable expenses during the first year of college? Select the correct answer from each

drop-down menu.

**Step-by-step explanation:**

**Answer:**

**Step-by-step explanation:**

variable expenses sum is 6,100

fixed expenses sum is 18,942

5. For the following function, evaluate f(5)-f(4), *

f(x) = -2x²-x+3

For this following **function** by **evaluating **f(5)-f(4) we get -19.

**What is evaluate?**

Finding the value of an **algebraic expression **when a given number is used to replace a variable is known as **evaluating **the **expression**. When **evaluating **an **expression**, we change the variable in the **expression** to the given number and then use the order of operations to simplify the **expression**.

Sol- f(5)-f(4)

f(5)-f(4)= (-2.5^2-5+3)-(-2.4^2-4+3)

Calculate the power

(-2×25-5+3)-(-2×4^2-4+3)

Calculate the product or quotient

(-50-5+3)-(-2×16-4+3)

Calculate the sum

-52-(-32-4+3)

=-52-(-33)

**determine** the sign

=-52+33

By calculating the sum of difference we are get

-19.

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Volume is 7/8, length is 5/8, width is 7/9, what is height?

5/8 x 7/9 x ? = 7/8

The **height** of a the given shape which has a volume of 7/8, length of 5/8, **width** of 7/9 is 9/5

Volume = Length × width × height

7/8 = 5/8 × 7/9 × x

7/8 = 35/72x

x = 7/8 ÷ 35/72

= 7/8 × 72/35

= 9/5

So therefore, the height of the given shape is 9/5

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1. You launch a toy rocket from a height of 5 feet. The height h, in feet of the rocket t seconds after taking off is given by the formula h = -3t2 + 14t + 5.

In case whereby You launch a toy rocket from a height of 5 feet with the **height** h, in feet of the** rocket** t seconds after taking off is given by the formula h = -3t2 + 14t + 5, then the value of t will be** 4.67 secs.**

How can the values of t be calculated?

The giving equation is h = -3t2 + 14t + 5

where the height h is been given as 5 feet, then we can substitute the value of the height they the **expression** can be simplified as

5 = -3t^2 + 14t + 5

Then this **equation** can be re arranged as :

-3t^2 + 14t + 5 - 5=0

This can as well be expressed as

-3t^2 + 14t = 0

t(-3t + 14)= 0

Then t= 0 and -3t + 14=0

t=14/3 = 4.67 secs

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if you answer beans u r a chad

beans

this is so true. beans

**Answer: bean**

**Step-by-step explanation:**

bean chd china bean poopies beans

Determine how long it will take for a principal amount of $13,000 to double its initial value when deposited into an account paying interest at a rate of 21.4 percent, continuously compounded

**Answer:**

3.24 years

**Step-by-step explanation:**

2 = e^it Decimal interest = i T = years 2 = double

T = 3.24 years For ANY deposit amount to double

I need help with question 6, I've included the prior answers from questions 1, 2 and 3 to help you. I've also included what the previous questions were so you have some context of the situation. Although, I think you only need the answers from part C ( which is the graph I've including) to answer question 6

Question 6 asks us to determine the period of the function.

Looking at the height of the blade tip, it varies in a sinusoidal manner.

Thus, the period is the distance between successive same heights on the table.

The function takes 360 degrees to return to its same value. At angle zero, the height was 150ft and it was still 150 ft at 360 degrees.

**Thus the period is 360 degrees. **

help me the question please rast the answers

Considering the situation with the **parallel **lines being cut by the two **transversal **lines, the **measures of the angles** are given as follows:

**12. **m<14 = 66º (option C).

**13. **m<12 = 86º (option D).

Angles 4 and 15 are **alternate exterior** angles, as they are on different sides of the same transversal line, hence they are congruent, that is:

m<15 = 114º.

Angles 14 and 15 are** consecutive interior** angles, meaning that they are supplementary, hence the measure of angle 14 is calculated as follows:

m<14 + m<15 = 180º

m<14 + 114º = 180º

m<14 = 66º.

Measure of angle 12Angles 5 and 10 are **alternate interior **angles, as they are on the opposite internal sides of the same transversal line, hence they are **congruent **and the measure of angle 10 is given as follows:

m<10 = 86º.

Angles 10 and 12 are **equivalent **angles, as they are on the same position, just relative to different transversal lines, hence they are also **congruent**, and the measure of angle 12 is given as follows:

m<12 = 86º.

Missing informationThe diagram with these lines is given by the image at the end of the answer.

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the heating coil in a hair dryer is made of nichrome wire with a radius of 0.275 mm. if the coil draws a current of 8.85 a when there is a 120 v potential difference across its ends, find the following. (take the resistivity of nichrome to be 1.50 106 m.)
What does an elevated glycosylated hemoglobin value indicate?O HyperglycemiaO KetoacidosisWorksheetNextO HyperinsulinemiaO Polyphagia
The function C(x) = 150 + 3.3x models the cost for a company to produce x units of a product. The function R(x) = 15x models the revenue the company earns if they sell x units of the product. Which function, P(x), models the profit the company earns if they sell x units of the product? (Profit = Revenue - Cost) O P(x) = 18.3x - 150 O P(x) = 11.7x - 150 OPlx) = 150 - 11.7x O P(x) = 18.3x + 150
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Solve for z.z = 0.64
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Theorize as to what you think happened at the end of the story. Who was at the door?Monkeys paw
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