Prove that root 7 is an irrational number.

Answers

Answer 1

Answer: Root 7 would equal 2.64575131106 and would go on forever.

Step-by-step explanation: It isn't one of the perfect squares. For example, the first 10 perfect square are 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.

Answer 2

Answer:

it is an irrational number and here is why

Step-by-step explanation:

So think of square root as it's answer is something that you you multiply its self by its self and you get that answer. Ex: 8 x 8 = 64 square root of 64 is 8. So in that case there is nothing you can exactly multiply by itself to get 7 so in that case it's a decimal or an irrational number.

HOPE THIS HELPS!


Related Questions

if Xandy are integers and(x-y)=4, what is the main minimum possibile value of xy? ​

Answers

Answer:

-4

Step-by-step explanation:

Hello,

x-y=4 <=> x=y+4

so, xy=y(y+4)

[tex]y(y+4)=y^2+4y=(y+2)^2-4[/tex]

so this is minimum for y = -2 and the minimum value is -4

thanks

Zx and Zy are supplementary angles. Zy measures 116º.
What is the measure of Z?

Answers

I think 64 but I’m not sure

An 8ft length of 4 inch wide crown molding costs $15. How much will it cost to buy 24 ft of crown molding?

Answers

Answer: 123$

Step-by-step explanation:

I dont even know but this gives me free five points

it will cost $123 to buy

please help me
sec theta - cos theta= sin^2 theta/ cos theta​

Answers

Answer:

Taking LHS

=1 by cos theta- cos theta

= (1- cos²0)/ cos0

= sin²0/ cos0 ( because 1-cos²0 is also equals to sin²0)

=RHS hence proved

Answer:

Step-by-step explanation:

Let theta be β.

So,

[tex]sec\beta - cos\beta = \frac{sin^2\beta }{cos\beta } \\=>\frac{1}{cos\beta } - cos\beta = \frac{1 - cos^2\beta }{cos\beta } \\=>\frac{1 - cos^2}{cos\beta } = \frac{1 - cos^2\beta }{cos\beta }[/tex]

Here , identity used = [tex]sin^2\beta + cos^2\beta = 1[/tex]

what is the answer for 5(u-5)

Answers

Answer:

5u-25

Step-by-step explanation:

We have to simplify by distributing 5 to the variable and the number.

5(u-5)

5(u)5(-5)

5u-25

Pls answer the question I need it asap I'm literally crying

Answers

You do 32 quarters which is eight dollars we need eight dimes
8 dimes. because 80 cents is 8 dimes

if f(x)=4x^2-6

find all x such that f(x)= 106

Answers

Answer:

50

Step-by-step explanation:

Answer:

[tex]2\sqrt7,-2\sqrt7[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=4x^2-6[/tex]

And we want to find all x such that f(x) is 106. So, substitute 106 for f(x):

[tex]106=4x^2-6[/tex]

Add 6 to both sides:

[tex]112=4x^2[/tex]

Divide both sides by 4:

[tex]x^2=28[/tex]

Take the square root of both sides:

[tex]x=\pm\sqrt{28}[/tex]

Simplify the square root:

[tex]x=\pm\sqrt{28}=\pm\sqrt{4\cdot 7}=\pm2\sqrt7[/tex]

So, those are the two values that will satisfy our requirement.

And we're done!

The graph of the line 4x+3y= 12 is translated right 1 unit and down 3 units. What is the equation of the new line?

Answers

Answer: y = 7/3 - (4/3)*x

Step-by-step explanation:

First, let's write our line in the notation:

y = f(x)

So we must isolate y in the equation:

4x + 3y = 12

3y = 12 - 4x

y = 12/3 - (4/3)*x = 4 - (4/3)*x

Now, we have two translations, one horizontal and one vertical.

Let's define them in general cases:

Horizontal translation.

When we have y = f(x) and we want to do a horizontal translation of A units to the right (A positive) we have:

y = g(x) = f(x - A)

So we replace our variable x by x - A.

Vertical translation.

When we have y = f(x) and we want to do a horizontal translation of A units up (A positive) we have:

y = g(x) = f(x) + A.

Then in this case we have:

y = f(x) = 4 - (4/3)*x

then, the horizontal translation of 1 unit to the right is:

y = f(x - 1) = 4 - (4/3)*(x - 1)

And the translation of 3 units down (a vertical translation) is:

y = f(x - 1) - 3 = 4 - (4/3)*(x - 1) - 3  = 1 + 4/3 - (4/3)*x

y = 7/3 - (4/3)*x

This equation represents the new line.

2x² - (5 + 2x) + 6x²

Answers

Answer:

8x²-2x-5

Step-by-step explanation:

2x²-(5+2x)+6x²

2x²-5-2x+6x²

2x²+6x²-2x-5

8x²-2x-5

Hope this helps ;) ❤❤❤

Answer:

[tex]8 {x}^{2} - 2x - 5[/tex]

Step-by-step explanation:

[tex]2 {x}^{2} - (5 + 2x) + 6 {x}^{2} [/tex]

[tex]2 {x}^{2} - 5 - 2x + 6 {x}^{2} [/tex]

[tex]8 {x}^{2} - 2x - 5[/tex]

What are t + 8 + 3t terms and like

Answers

Answer:

t+8+3t

8+4t

Step-by-step explanation:

I guess the question is incomplete

Mateo He’s going to solve the equation below. Which of the following represents the equation after combining the terms? -8x +23-22+9=182

Answers

Answer:

-21.5

Step-by-step explanation:

-8x+23-22+9=182

-8x+1+9=182

-8x+10=182

     -10   -10

-8x=172

x=172÷-8

x=-21.5

-21.5 IS THE ANSWER

Michael bought a classic car for $8,500. He restored it then added 150% markup before advertising it for sale. What is the amount of markup? is it 21250? or I'm I wrong thank you

Answers

Answer:

$12750

Step-by-step explanation:

Initial price = $8500

Markup = 150%

Markup amount:

$8500*1.5 = $12750

Selling price would be:

$8500 + $12750 = $21250

Find a parametrization of the circle of radius 3 in the xy-plane, centered at (−2,2), oriented counterclockwise. The point (1,2) should correspond to t=0. Use t as the parameter for all of your answers.

Answers

Answer:

x = 3*cos(t) - 2  

y = 3*sin(t) + 2  

Step-by-step explanation:

The equation for a circle of radius 3 and centered at the point ( h , k )           (  -2 , 2 ) is:

( x - h )²  +  (  y  - k )²  = r²

In this particular case

h = - 2   k = 2    and  r = 3

Then to parametrizace the equation

x  = r* cos(t) +  h

y = r*sin(t)  + k

x =  3*cos(t) + (- 2)       ⇒   x = 3*cos(t) - 2    

y = 3 *sin(t) + (2)          ⇒   y = 3*sin(t) + 2

Now :

when t = 0   x should be  1

Then   x = 3 cos(0) - 2      x  = 3 - 2        x  = 1

and t = 0   y should be 2

Then   y = 3*sin(t) + 2    ⇒  y =  3*sin(0) + 2       y  =  2

You start at (7, 1). You move right 3 units.

Answers

Answer:

4,1

Step-by-step explanation:

(−8r5t8)(−5rt) Please help

Answers

Answer:

40r^6t^9

Step-by-step explanation:

Cups of dog food is recommended for a 25 pound dog

Answers

Answer:

100 cups of food is for a 25 pound dog

I believe a hundred cups

A rectangle has a length of 12 yards less than 10 times it’s width. If the area of the rectangle is 880 yards

Answers

Answer: The length is 88 yards  and the width is 10 yards. Look into the steps for more information.

Step-by-step explanation:

The length is 12 yards less than 10 times the width so we can represent that by the equation  L = 10w - 12  

And the area is 880  so the width times the length has to equal 880. the width is w and the length is 10w -12

w( 10w -12 ) = 880   solve for w

10w^2 - 12w  = 880    subtract 880 from both sides

              -880   -880

10w^2 - 12w - 880 = 0     They share the same factors so dive each side by 2

5w^2 - 6w^2 - 440 = 0  

a= 5     b = -6  and c=-440

The quadratic formula says that x= -b ± [tex]\sqrt{b^2- 4ac} / 2a[/tex]  

   x= 6 ±[tex]\sqrt{8836} / 5[/tex]  

x= 6 ± 94  /10

x= 100 /10

x = 10  

In this case the width is 10 yards.

The length is 12 less than 10 times the width .

So   L  = 10(10) - 12

   L =  100- 12

  l = 88  

So the length is 88

The required length and width are 229 and 27 yards.

It is required to find the dimension of rectangle.

What is rectangle?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

A=l*w

w=width

10w-12=length

According to given question we have,

6183=(10w-12)(w)

6183=10[tex]w^{2}[/tex]-14w

9[tex]w^{2}[/tex]-14w-6183=0

By simplify we get,

(9w+229)(w-27)=0

w-27=0

w=27 yards

l=9*27-14=229 yards

Therefore, the required length and width are 229 and 27 yards.

Learn more details about rectangle here:

https://brainly.com/question/15019502

#SPJ2

Newton's Second Law states acceleration equals force
divided by mass, a = F/M. This graph shows f(x) = 5/x , an
acceleration based on a constant force of 5 Newtons
applied to different objects. How is f(x) transformed to
get g(x) and what is the new equation?

Answers

Answer:

2f(x); g(x) = 10/x

Step-by-step explanation:

The second option on edge

The new equation is, g(x) =2f(x), g(x) =10/x. Option B is correct.

What is a graph?

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

Given data in problem is;

a = F/M

f(x) = 5/x

We have to examine each option given and observe the graph for the function we got;

g(x) = 2f(x)

Substitute the values we get;

g(x) =  2×(5/x)

g(x)=10/x

The new equation is, g(x) =2f(x), g(x) =10/x.

Hence, option B is correct.

The complete question and graph are attached below.

To learn more about the graph, refer to the link;

https://brainly.com/question/14375099

#SPJ2

what is 2k-3(2k-3)=45

Answers

Answer:

k = -9

Step-by-step explanation:

What is the base 2 equivalent of 6010? * 111101 base 2 111100 base 2 110000 base 2 110100 base 2

Answers

Answer:

111100 base 2

Step-by-step explanation:

The conversion of 60 base 10 to base 2

When converting a number from base 10 to base 2, the following steps are taken:

a) The number in base 10 is divided by 2 and the remainder is recorded, this continues until the remainder is less than 2.

b) The remainder from the bottom to the top are arranged so as to get the representation of the number in base 2.

60 base 10 to base 2

60 ÷ 2       =       30  remainder  0

30 ÷ 2       =        15 remainder   0

15 ÷ 2       =         7   remainder   1

7 ÷ 2        =          3  remainder   1

3 ÷ 2        =          1   remainder   1

1 ÷ 2         =          0  remainder   1

The remainder from bottom to top is 111100 base 2.

(60)₁₀ = (111100)₂

can someone help me with this?​

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ The pattern is y ÷ 8. (So just divided by 8 each time.)

  ✧ 512 ÷ 8 = 64

  ✧ 64 ÷ 8 = 8

  ✧ 8 ÷ 8 = 1

  ✧ 1 ÷ 8 = 0.125

  ✧ 0.125 ÷ 8 = 0.015625

✦ So then the next values would be:  

  ✧ 8⁰ = 1

  ✧ 8⁻¹ = 0.125

  ✧ 8⁻² = 0.015625

~Hope this helps Mate. If you need anything feel free to message me.

If f(x)=(3+ X) over (X -3) what is f(a+2)

Answers

Answer:

5+a/a-1

Step-by-step explanation:

3+a+2/a+2-3=5+a/a-1

What is a number multiplied by 12 is 84

Answers

Hey there! I'm happy to help!

Let's call our number n. Here is the information we have.

n×12=84

We want to figure out what n equals. To do this, we have to get it by itself in the equation. What we will do is cancel out the 12 by dividing both sides by 12.

n×12/12=84/12

n=7

Therefore, our number is 7.

Have a wonderful day! :D


Express each rational number in decimal form
17)
[tex] - \frac{7}{4} [/tex]

Answers

Answer:

It is a negative 1.75. (-1.75)

Horizontal and parallel lines b and c are cut by transversal a. At the intersection of lines b and a, the bottom right angle is 50 degrees. At the intersection of lines c and a, the top left angle is y degrees. What is the value of y? y = 30 y = 50 y = 110 y = 130

Answers

Answer:

y=50

Step-by-step explanation:

look at photo attached

Answer:

y=50

Step-by-step explanation:

on edge2021

The sum of five and triple a number what is it please

Answers

Answer:

5 + 3a

Step-by-step explanation:

The expression is:

5 + 3a

1. Which statement is true?
4.
A. 7.5 is 10 times as much as 750.
A
B. 0.2 is 1/10 of 2
E
C. 65 is 10 times as much as 0.065.
D. 70 is 1/10 of 7,000.

Answers

Answer:

B

Step-by-step explanation:

B is true because 0.2 x 10 = 2

write the sentence as an equation


the product of y and 6, add to 310 is y

Answers

y(6)+310=y

equals is =

product of is ×

add to is +

Benn Cornell and Tom Ingulli drove to Chicago a distance of 510 miles, their car gets 23 miles per gallon of gasoline. gasoline costs them $2.59 per gallon. how much did they spend for gasoline on there trip?

Answers

Answer:

about $57.42

Step-by-step explanation:

we know how many miles they drove in all (510) and how many miles they can drive per gallon (23)

we need to find out how many gallons of gas they used by dividing the total number of miles they drove (510) by the number of miles per gallon (23) which is about 22.17

510 ÷ 23 = 22.17

we then need to find out how much money they spent on the total number of gallons of gas they purchased by multiplying 22.17 by the amount of money for one gallon of gas ($2.59)

22.17 × 2.59 = $57.42

I need help with this pls ASAP

Answers

Answer: G.

Step-by-step explanation: you should divide both sides by 3. 3 divided by 3 is 0, and -12 divided by 3 is -4. therefore, your answer is (0,-4)

Answer: G (0,-4)

Step-by-step explanation:

You can use this website called "Desmos Graphing Calculator." The answer is G.(0,-4). It helps me a lot with graphing and graphing linear equations.

Other Questions
What is the ratio for 2 red paper clips to 6 blue paper clips? Write it as a fraction. What does x equal?2(3x - 2) = 20 solve for x: 4/x=5/10 Given h(x)= 4x^2, find h(3) PLEASE HELP ASAP Write the following equation in general form. -x - 5y = -19 x - 5y + 19 = 0 x + 5y - 19 = 0 x + 5y + 19 = 0 Is "Casey at the Bat" written in couplets, triplets,quatrains? Which of the following have a neutral charge. Electron, plasma, neutron, or proton lyssa can create 20 slides per hour. For other activities, she can bill clients $400 per hour. Alyssas opportunity cost of creating slides is Which project charter element describes what the project will include/will not include?a. Project Scope b. Preliminary Plan c. Business Case d. Problem Statement Moses is making the best possible use of money, time, materials, and people. By achieving goals with minimal waste of resources he is being ______. If two parallelograms are congruent, what is the scale factor between? how is reading helpful in terms of comprehension and vocabulary? why these animals have so much blubber write an expression that represents the total amount of fencing needed to enclose the two fields. -how would you do this?- Bar graphs are most closely related to a. correlation coefficients. b. statistical significance. C. standard deviations. d. frequency distributions. A hollow plastic sphere is held below the surface of a fresh-water lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.650 cubic meters and the tension in the cord is 900 N. a) Calculate the buoyant force exerted by the water on the sphere. b) what is the mass of the sphere? c) the cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged? Which of the following best describes the climate and terrain of New England? very cold winters, mild summers, poor soil mild winters, hot summers, major rivers cold winters, mild summers, good soil humid weather, few rivers, thick forests Photosynthesis is important to living organisms because it is A. The foundation of most food chainsB. The source of nitrogen gas in the airC. How animals get carbon dioxide to breatheD. The process that occurs in most ecosystems The absolute value of some number x is 17, and the number y is 23. How much issum x + y? How many different results do you get? A commercial advertising a diet pill says it is scientifically proven to help you lose weight. It is recommended by a doctor who observed that some of his patients lost weight after taking the pill for a week. Why is this claim considered pseudoscience?