The product of two irrational numbers is an irrational number
a.True
b.False

Answers

Answer 1

False, The product of two irritational numbers is either rational or irrational numbers.

A rational number is a number expressed in the form of p/q where p and q are integers and q should not be zero. Example: 2/5, 24

Whereas an irrational number is a number that is not rational in nature means it neither be expressed in the form of p/q nor in ratio terms. Example: √12, √3

Product of two irrational numbers: √2* √2 = 4 (which is a rational number)

Product of again two irrational numbers: √2*√3= √6 ( which is an irrational number)

Therefore, the product of two irrational numbers can be rational or irrational numbers.

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Answer 2

The product of two irrational numbers is an irrational number is false because it is either a rational or irrational number.

What is a rational number?

A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.

It can be a/b of two integers, a numerator a, and a non-zero denominator b.

The product of two irrational numbers √3 ×√3 = 3

This is a rational number.

Again, the product of two irrational numbers: √5 ×√3 = √15

This is an irrational number.

As a result, the product of two irrational integers can be both rational and irrational.

Thus, the product of two irrational numbers is an irrational number is false because it is either a rational or irrational number.

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Related Questions

I need Help!!!!!!!!!

Answers

Answer: The photo below will show you how to do the problem. (i used 2 as an example)

Step-by-step explanation:

: Find the x- and y- intercepts. ...

Step 2: Find at least one more point. ...

Step 3: Plot the intercepts and point(s) found in steps 1 and 2. ...

Step 4: Draw the graph. ...

Step 1: Find the x- and y- intercepts.

Step 2: Find at least one more point. ...

Step 3: Plot the intercepts and point(s) found in steps 1 and 2.



A container has a capacity of 2/3 gallons. How many gallons are there in six of these containers in each container is filled to capacity.

Answers

The number of gallons in 6 containers is 4

How to determine the number of gallons?

The statement is given as

A container has a capacity of 2/3 gallons

This means that

1 container = 2/3 gallons

Multiply both sides of the equation by 3/2

So, we have

3/2 * 1 container = 2/3 gallons * 3/2

Evaluate the products

So, we have

3/2 containers = 1 gallon

Multiply both sides by 4

So, we have

4 * 3/2 containers = 4 gallons

This gives

4 gallons = 6 containers

Hence, the number of gallons is 4

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Let ​f(x)=x^2−4 and ​g(x)=16−x. Perform the composition or operation indicated. ​(fg)(1​)

Answers

Answer

The answer would be -45.

Step-by-step explanation:

I linked how I got this answer in the image. I hope this helps :)

area of composite figures worksheet #1 (don’t mind the pen it’s a mistake)

Answers

Answer:

Given that,

Rectangular room is of the dimension 12 feet by 18 feet

To find the number of square feet of carpet needed.

Explanation:

Area of the rectangle is,

[tex]\text{ length}\times\text{ breadth}[/tex]

Area of the rectangular room is,

[tex]12\times18[/tex][tex]=270\text{ ft}^2[/tex]

Area of the rectangular room is 270 square feet.

Therefore, 270 square feet of carpet are needed to cover the room.

we know that,

[tex]1\text{ yard }=3\text{ feet}[/tex]

Using this conversion we get,

[tex]270\text{ ft}^2=270(\frac{1}{3}\text{ yd})^2[/tex]

9(x)=1/4x+1

What is g(-16)?

G(-16)=

Answers

Answer:
1;
4/35
2;
-16g

sorry if wrong

Bernie is making wooden stools for a local charity. He has 12 1/2 feet of wood. The instructions call for 2 1/2 feet of wood to make two stools. Which of the following correctly shows the total number of complete stools that Bernie can make?

Answers

The most appropriate choice for fraction will be given by -

Bernie can make 10 stools

What is a fraction?

Suppose there is a collection of objects and a part of collection has been taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.

The upper part of fraction is called numerator and the lower part of fraction is called denominator.

[tex]2\frac{1}{2}[/tex] feet = [tex]\frac{5}{2}[/tex] feet of wood can be used to make 2 stools

1 feet of wood can be used to make [tex]2 \div \frac{5}{2}[/tex] stools

                                                           [tex]2 \times \frac{2}{5}[/tex] stools

                                                           [tex]\frac{4}{5}[/tex] stools

[tex]12\frac{1}{2} = \frac{25}{2}[/tex] feet of wood can be used to make [tex]\frac{4}{5} \times \frac{25}{2}[/tex] stools

                                                                      = 10 stools

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Population of Arkansas is currently 3 million people. If it grew by just 5%, what would the new population be?

Answers

Please mark me brainliest. please

Population of Arkansas is currently 3 million people. If it grew by just 5%, what would the new population be?

Answer : 3,150,000 people

Step-by-step explanation:

3,000,000 + 5% = 3,150,000

Can someone help with this question?✨

Answers

The equation of the line parallel to y = 4x - 2 and passes through (1, 8) is

y = 4x + 4

How to find equation for a line?

The equation of a line can be represented as follows:

y = mx + b

where

m = slope of the linesb = y-intercept

Therefore, the equation of a line is parallel to y = 4x - 2 and passes through (1, 8)

Parallel lines have the same slope.

Therefore,

y = 4x + b

let's find y-intercept using (1, 8)

8 = 4(1) + b

b = 8 - 4

b = 4

Therefore,

the equation of the line is y = 4x + 4

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Let ​f(x)=x − 3 and ​g(x)=x2−x. Find and simplify the expression. ​(f+​g)(−6​)

Answers

Answer: 33

Step-by-step explanation:

(f+​g)(−6​)=

f(-6)+g(-6)=

-6-3 + (-6)^2-(-6)=

-(6+3) + 36+6=

-9+42=

42-9=33

If a skier travels 4700 feet up a ski lift whose angle of inclination is 30°​, how high above his starting level is the​ skier?

Answers

If a skier travels 4700 feet up a ski lift whose angle of inclination is 30°​, how high above his starting level is the​ skier is 2350 feet.

Height

Given data:

Distance = 4700 feet

Angle of inclination = 30°​

Now let determine the height by  formulating an equation which will help us to find the height

4700 × sin 30°

Where:

Sin 30° = 0.5 or 1/2

Hence,

Height :

Height = 4700 feet × 0.5

Height = 2350 feet

So,

Height = 2350 feet above the starting level

Therefore we can conclude that the skier is 2350 feet above the starting level.

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What is 2M?
M=[3 5
-4 0]

Answers

The value of matrix 2M is  [tex]\left[\begin{array}{ccc}6&10\\-8&0\\\end{array}\right][/tex]

What is matrix ?

A matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the numbers, which are referred to as its elements. In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics. The representation of rotations and other picture changes has been accomplished using matrices, which have significant uses in computer graphics.

How to do Matrix Multiplication ?

Multiplication of matrices, often known as matrix multiplication, is one of the operations that can be carried out on matrices in linear algebra. If the two matrices given, A and B, are compatible, then matrix A and matrix B can be multiplied. The binary operation of multiplying matrices produces a matrix from two input matrices.

M = [tex]\left[\begin{array}{ccc}3&5\\-4&0\\\end{array}\right][/tex]

2M = 2 [tex]\left[\begin{array}{ccc}3&5\\-4&0\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}6&10\\-8&0\\\end{array}\right][/tex]

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Are the lines created using the given points perpendicular?L1: (1,2), ( 3,1) and L2: (0,-1), (2,0)

Answers

Answer:

[tex]No,\text{ they are not}[/tex]

Explanation:

To check for this, we have to get the slope of the two lines

The slope of a line can be calculated using the formula:

[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x1,y1) are the coordinates of the first point and (x2,y2) are the coordinates of the second

Mathematically, we have the slope of the first as follows:

[tex]m\text{ = }\frac{1-2}{3-1}\text{ = -}\frac{1}{2}[/tex]

For the second line, we have it that:

[tex]m\text{ = }\frac{0+1}{2-0}\text{ = }\frac{1}{2}[/tex]

When two lines are perpendicular, the product of their slopes is equal to -1

We have it that:

[tex]\frac{1}{2}\times(-\frac{1}{2})\text{ = -}\frac{1}{4}[/tex]

This shows that the two lines are not perpendicular

A monument is made in the form of a right pyramid with a regular hexagon as a base. each base side is 5 meters and the slant height is 30 meters. if only the sides (and not the base) of the monument is to be covered by metal, how many square meters of metal are needed to cover the sides of the pyramid?

A. 450 m 2
B. 300 m 2
C. 75 m 2
D. 150 m 2

Answers

450 m² of metal are needed to cover the sides of the pyramid.

The correct answer is an option (A)

In this question, a monument is made in the form of a right pyramid with a regular hexagon as a base. each base side is 5 meters and the slant height is 30 meters.

If only the sides (and not the base) of the monument is to be covered by metal, we need to find the amount of metal needed to cover the sides of the pyramid.

Since the base of the pyramid is hexagon, there are 6 triangular sides of the pyramid.

We need to find the area of 6 triangular surfaces.

The base of the triangle b = 5 meters and the height of the triangle is the slant height of the pyramid.

h = 30 meters

So, area of the one triangular surface would be,

A1 = 1/2 × b × h

A1 = 1/2 × 5 × 30

A1 = 5 × 15

A1 = 75 square meters

And the area of the 6 triangular surfaces would be,

A = 6 × A1

A = 6 × 75

A = 450 square meters

Therefore, 450 m² of metal are needed to cover the sides of the pyramid.

The correct answer is an option (A)

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-2(x-1)+4x=10
What is the answer to this question

Answers

Answer:

4

Step-by-step explanation:

to solve this equation you should add the values on the left side then divide 10 by whatever value you get

-2(x-1)+4x=10

-2x+2+4x=10

2x+2=10

2x=10-2

2x=8

x=4

Please help I’ll mark you as brainliest if correct!

Answers

Answer: a = 30

d = 4

c = 18

b = 6

Step-by-step explanation:

write x<19 in interval notation
The inequality x<19 is the unbounded interval
answer:____

Answers

The resulting inequality equation in interval form is  (-∞, 19).

Interval form of an inequality

The range of values that might result in an inequality being true can be represented using interval notation.

There are two kinds of intervals, called open and closed (explained below), and each has a unique manner to notate it so we can distinguish between the two.

Given the inequality expression x < 19. This means that the interval must contain values that are less than 19 (19 excluded.)

The inequality x<19 as an unbounded interval is given as (-∞, 19).

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A merchant bought several pieces of silk for $70. He sold all but two of them at a profit of $4 per piece. His total profit was $18. How many pieces did he originally purchase?

Answers

A merchant bought several pieces of silk for $70. He sold all but two of them at a profit of $4 per piece. His total profit was $18. How many pieces did he originally purchase?​

Let n be the number of pieces. He sold n - 2 pieces

Let p be the original price. His selling price = p + 4

Then n · p = 70.00

And (n - 2) · (p + 4) = 70.00+18.00 ---> np + 4n - 2p - 8 = 88.00

---> np + 4n - 2p = 96.00

---> 70.00 + 4n - 2p = 96.00

4n - 2p = 26.00

2n - p = 13.00

Trying some possibilities (7 & 1), (8 & 3), (9 & 5), and (10 & 7), finally gets us to the answer: n = 10 and p = 7.00.

therefore

the number of pieces was 10

40-18 is 6 so the answer is I have no clue according to my calculations

Chris bought 18.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Chris bought? Question 1 options: 6.21 L 14.6 L 4.84 L 69.92 L

Answers

The measurement that is closest to the 18.4 gallons of gasoline that Chris bought is 69.92 liters , the correct option is (d) 69.92 L .

In the question ,

it is given that ,

number of gallons that Chris bought = 18.4 gallons

also given that 1 gallon = 3.8 liter

Using the conversion , 1 gallon = 3.8 liter ,

we get ,

18.4 gallons = 3.8 × 18.4

                    = 69.92

hence, 18.4 gallons = 69.92 liters

Therefore , the measurement that is closest to the 18.4 gallons of gasoline that Chris bought is 69.92 Liters, the correct option is (d) 69.92 L   .

The given question is incomplete , the complete question is

Chris bought 18.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Chris bought?

(a) 6.21 L

(b) 14.6 L

(c) 4.84 L

(d) 69.92 L

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I inserted a picture of a question please state whether the answer is a b c or d

Answers

Given:

[tex]\begin{gathered} y=x^2 \\ y=\mleft(\frac{1}{3}x\mright)^2 \end{gathered}[/tex]

The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 3.

ption D is the final answer.

what is the slope of 10x + 5y = 30

Answers

Answer:

[tex]y=-2x+6[/tex]

So, the slope is -2.

Step-by-step explanation:

Solve the literal equation for y and use the slope value formed.

[tex]10x+5y=30\\5y=-10x+30\\\frac{5y}{5}=\frac{-10}{5}x+\frac{30}{5}\\y=-2x+6[/tex]

So, according to [tex]y=mx+b[/tex], the slope is -2 where m is the slope.

Answer:

i swear your going to give a head ack i told you the answer

Step-by-step explanation:

Use 3.1 < sqrt 10 <3.2 to find the possible values of each expression. 2-sqrt 10

Thanks for the response.
i did the same for 2-square root 10, for 2 - 3.1 < 2 - sqrt 10 < 2 - 3.2 and thought 2 -3.1 < 2 -sqrt 10 < 2 -3.2,
-1.1<< 2 - sqrt 10 < -1.2 will be the answer but doesn't look like its right. Appreciate your help for this. thanks

Answers

Think of -1.1 as -11

Think of -1.2 as -12

I moved the decimal points to the right for each value

Then on a vertical number line, notice how -12 is below -11, so -12 < -11

If we divide both sides by 10, then we go from -12 < -11 to -1.2 < -1.1

In short, the final expression you have -1.1 < middleStuff < -1.2 is in the wrong order.

It should be -1.2 < 2 - sqrt(10) < -1.1

I swapped the places of -1.1 and -1.2

If you were to use a calculator, then 2-sqrt(10) = -1.162 approximately which fits the description of being between -1.2 and -1.1; this helps confirm we have the correct upper lower and upper bounds.

------------------------------------

Here's another way to look at it

3.1 < sqrt(10) < 3.2

-1*3.1 > -1*sqrt(10) > -1*3.2 ............ see note1 below

-3.1 > -sqrt(10) > -3.2

-3.1+2 > -sqrt(10)+2 > -3.2+2  ....... see note2

2-3.1 > 2-sqrt(10) > 2-3.2

-1.1 > 2 - sqrt(10) > -1.2

-1.2 < 2 - sqrt(10) < -1.1 ........... see note3

Footnotes

note1: For this step I multiplied all three sides by -1. Multiplying by a negative will flip the inequality signsnote2: I added 2 to all three sides. This does not flip any of the inequality signs.note3: We go from the form a > b > c to c < b < a. The outer sides 'a' and 'c' swap places while b in the middle stays where it is. The inequality signs flip. It might help to think of something like 3 > 2 > 1 flipping to 1 < 2 < 3.

Plot the image of point P under a translation by 4 units to the left and 3 units down.

Answers

We are given the following point:

[tex]P=(-2,-4)[/tex]

The given transformation is the following:

[tex](x^{\prime},y^{\prime})=(x-4,y-3)[/tex]

Replacing the values:

[tex]\begin{gathered} P^{\prime}=(-2-4,-4-3) \\ P^{\prime}=(-6,-7) \end{gathered}[/tex]

Therefore, the image is (-6,-7)

what is the domain of the relation shown below?

Answers

the domain is the x values.
then you need to put them in correct order so the domain would be
[-3,1,2,6]

Which pair of similar triangles can be mapped from one to the other by dilation with scale 3 and center of dilation (0,0) followed by the translation (x,y) (x -6, y -6)

Answers

Triangles P is equal to triangle v and triangles A is equal to triangle J.

Consider the unit of the scale on the X-axis is 1 unit. and

Consider the unit at Y-axis is 1 unit.

Take a triangle p and measure each unit.

1/2 + 1/2 + 1/2 + 1 + 1 + 1 =  9/2

=4.2

Take a triangle V and measure each unit.

1/2 + 1/2 + 1/2 + 1 + 1 + 1 =  9/2

=4.2

∴ The calculation is too same.

Here, ΔP=ΔV

Take a triangle I and measure each unit.

unit of I is 1.

Take a triangle J and measure each unit.

unit of J is 1.

∴ ΔI=ΔJ

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Solve the equation.



−3=z−8

Answers

Answer:

add -8 to -3 so thats 5 and your answer is 5=z

Step-by-step explanation:

the answer is 5 bc u have to do the opposite of - 8 so add 8 to both sides

Part I
Find the domain and the range of the following function.
f(x)=
x+3, for x≤ -3
1, for -3 1/2x, for x ≥4
The domain of the function is
(Type your answer in interval notation)

Answers

Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

What Separates a Function's Domain from its Range?

A function's domain and range are its constituent parts. In contrast to a function's range, which is the set of all potential outputs, a function's domain is the set of all possible inputs.

All real numbers fall under the expression's domain, with the exception of cases where it is undefined. No real number exists in this situation, rendering the statement undefinable.

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18. Convert the following base-ten number to a number in the indicated base.

130 to base six

130=_____six

Please show work.

Answers

The result of converting the number 130 base 10 to the base six is  [tex]334_{6}[/tex]

Given the number 130 base 10

Here we have use base conversion 130 base 10 to the number base six

.Here we have to follow 2 steps

In first step : Converting 130 to base 10

1 × [tex]10^{2}[/tex] = 100

3 × [tex]10^{1}[/tex] = 30

0 × [tex]10^{0}[/tex] = 0

Add of the result together

100 + 30 + 0 = [tex]130_{10}[/tex]

In second step : Converting [tex]130_{10}[/tex] to base 6

We can solve it by using the method

6 | 130

6 | 21 | 4

6 | 3 | 3

6 | 3 | 3

Then the result will be [tex]334_{6}[/tex]

Hence, the result of converting the number 130 base 10 to the base six is  [tex]334_{6}[/tex]

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Help 4567778776655555

Answers

In order to calculate the function (f/g)(x), we need to divide f(x) by g(x).

First, let's find the zeros of the function f(x), so we can write it in the factored form:

[tex]\begin{gathered} f(x)=-10x^2+30x+40\\ \\ a=-10,b=30,c=40\\ \\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\ x=\frac{-30\pm\sqrt{900+1600}}{-20}\\ \\ x_1=\frac{-30+50}{-20}=-1\\ \\ x_2=\frac{-30-50}{-20}=4 \end{gathered}[/tex]

So the factored form is:

[tex]\begin{gathered} f(x)=a(x-x_1)(x-x_2)\\ \\ f(x)=-10(x+1)(x-4) \end{gathered}[/tex]

Now, calculating the composite function, we have:

[tex]\frac{f(x)}{g(x)}=\frac{-10(x+1)(x-4)}{-5x-5}=\frac{-10(x+1)(x-4)}{-5(x+1)}=2(x-4)=2x-8[/tex]

Carlo and Anita make mailboxes and toys in their craft shop near Lincoln. Each mailbox requires 4 hours of work from
Carlo and 4 hours from Anita. Each toy requires 2 hours of work from Carlo and 4 hours from Anita. Carlo cannot work
more than 20 hours per week and Anita cannot work more than 28 hours per week. If each mailbox sells for $15 and
each toy sells for $24, then how many of each should they make to maximize their revenue? What is their maximum
revenue?

Answers

Answer:

7 toys and 0 mail boxes

Step-by-step explanation:

Answer:

Given that:!

Carlo mailbox = 1

Anita mailbox = 3

Carlo toy = 1

Anita toy = 4

Carlo work = 7 hours per week

Anita work= 24 hours per week

mailbox sells = $8

toy sells $14 =

solution

we consider here number of mailboxes is m

and m≥0

and

number of toys is t

and t≥0

so we can say equation will be

1m + 1t ≤7

3m+ 4t≤ 2

solve these equation 1,2,3 and 4 in graph and we will get graph that is attach here

we get here are 4 corner that is

The corner points are: (0, 0), (7, 0), (4, 3), (0, 6)

so objective revenue function is

F(m, t) 8m + 14t =

put here all value of corner

F(0, 0) = $0

F(7, 0) = 7×8 = $56

F(4, 3) = 4×8+ 3×14= $74

F(0, 6) = 6×14 = $84

so here maximize the revenue they should make 6 toys

The maximum revenue is $84

(2y-1)+3y+5
please help

Answers

Answer:

5y + 4; y = -4/5

Step-by-step explanation:

combine like terms

add 2y+3y together, and -1+5

5y+4=0

-4        -4

5y= -4

/5      /5

y= -4/5

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