2. Express each of the following as a rational number in the form of p/q
Where q≠0


Answers

Answer 1

Step-by-step explanation:

We need to find each of the following as a rational number in the form of p/q

(a) (3/7)²    (b) (7/9)³  (c) (-2/3)⁴

Solution,

(a) (3/7)²

[tex](\dfrac{3}{7})^2=\dfrac{9}{49}[/tex]

(b) (7/9)³

[tex](\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}[/tex]

(c) (-2/3)⁴

[tex](\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}[/tex]

Hence, this is the required solution.


Related Questions

What is the solution to this inequality?
-6x + 5 > -1

A: x > -1
B: X 1
D: X < -1

Answers

Step-by-step explanation:

-6x + 5 > -1

-6x > -6 (subtract 5 on both sides)

x < 1 (divide -6 on both sides, flip the sign)

Hence the answer is x < 1.

Answer:

b i hope

Step-by-step explanation:

10 yd
5 yd
What’s the surface area of the cylinder

Answers

Answer:

471.24 yd²

Step-by-step explanation:

The formula for the surface area of the cylinder

= 2πr(r + h)

Height = 10 yd

Radius = 5 yd

Surface area =

2 × π × 5(5 + 10)

= 471.24 yd²

The surface area of the cylinder = 471.24 yd²

Would the answer be 8?

Answers

Answer:

Step-by-step explanation:

yes i think so because from point d to point s it’s 4 and then from a to l it’s the same length so i do think it would be 8. 4+4 is 8

Whats values x= 2+/- i are the the roots of the quadratic equation?​

Answers

Answer:

x^2 - 4x + 5 = 0

Step-by-step explanation:

:)

x = (2 + i) and (2 - i) are the roots of the quadratic equation f(x) = x² - 4x + 5.

What are roots of a quadratic equation?

The values of variables satisfying the given quadratic equation are called its roots.

Given  (2 + i) and (2 - i) are roots of the quadratic equation.

Let the quadratic equation be f(x).

(x - (2 + i)) and (x - (2 -i)) are the factors of f(x).

Since, f(x) is a quadratic equation, it has only two roots.

f(x) = (x - (2 + i))(x - (2 - i))

f(x) = x² - (2 - i)x - (2 + i)x + (2 - i)(2 + i)

f(x) = x² - 2x + ix - 2x - ix + 4 - i²

f(x) = x² - 4x + 4 + 1

f(x) = x² - 4x + 5

Learn more about roots of quadratic equation here

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can someone help please

Answers

Answer is (-1, 7)

Hope it will help

Help pleaseeeeeeeeee

Answers

Answer:

The value for X is 25

Step-by-step explanation:

I hope this helps you out!

If you tell me all the right answers I will mark you brainliest!!

Answers

Answer:

11 is natural, real, integer and whole number.

1% is irrational and real, integer.

√25 = 5 hence it's natural, real, integer and whole

50 is rational and real, integer.

1.333… is natural, real and integer

2.3×10^5 is natural, real, integer and whole number.

solve: logx 64 = 3. Which is an equivalent equation?

Answers

By applying the definition of logarithm, you have

\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64

So, if you consider the cubic root of both sides, you have

x = \sqrt[3]{64} = 4x=364=4

Answer:

x

=

4

,

2

+

2

i

3

,

2

2

i

3

Step-by-step explanation:

Someone please do this!

Answers

Answer:

£518.42

Step-by-step explanation:

518.42 I think that’s right

By what percent did
the Howard family's
water bill decrease from
June to July? June $110.00, July $50.00

Answers

54.55 percent.
Set a ratio:
50/110 = x/100.
Solved this gives you 45.45, but that’s what’s left over. You need to subtract this from 100% to get 54.55 percent.

Solve for x:
7x = 105

Answers

Answer:

X=15

Explanation: You have no like terms to combine and are at the last step of the algebraic equation. So, you would divide 7 on both sides. 7 by 7 cancels it out and 105 divided by 7 equals 15. Hope this helps ^-^.

The solution to the equation 7x = 105 is x = 15.

We have the equation: 7x= 105

To solve for x in the equation 7x = 105, we need to isolate x on one side of the equation.

Divide both sides of the equation by 7:

(7x)/7 = 105/7

Simplifying:

x = 15

Therefore, the solution to the equation 7x = 105 is x = 15.

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Which of the following uses the reciprocal property to rewrite x/5 = 72/4

Please help me :)

Answers

Answer:

??You texted incomplete question.

By the way, x = 90

2x - 3y = 3 solve y

Answers

Answer:

Y=-1+2x/3

Step-by-step explanation:

Move all the terms that don't contain y to the right side and solve. Hope this helps!

9. The hypotenuse of a 45°-45°-90° triangle is 5 sqrt 6. Find the length of one leg of the right triangle.

Answers

Answer:

5 ✓ 3

Step-by-step explanation:

using Pythagoras Theory

(5 ✓ 6 )2 =, 2 x square side

square leg length= 150/ 2=, 75

length =5 ✓ 3

You burn 5 calories each minute you bike. What integer represents the change in your calories
after you bike for 30 minutes?Immersive Reader

Answers

Answer:

150

Step-by-step explanation:

A: x/8=3/4
B: 2/5=x/40

Answers

Answer:

A.)x=6

B.)x=16

did u mean to solve it or do something else if this is not the way u mean i can do another way if u like


A bowl contains 61 red and yellow Skittles. The number of red Skittles is 10 more than twice the number of
yellow Skittles. How many of each color are in the bowl?
Define your variables and write a system of equations that could be used to determine the number of red
Skittles and yellow Skittles in the bowl. (DO NOT SOLVE THE SYSTEM)
Let
Equation 1:
Let
Equation 2:

Answers

Answer:

the red skittles be 44 and yellow skittles be 17

Step-by-step explanation:

The computation of the number of each color are in the bowl is as follows;

Let us assume the red skittles be y

And, the yellow skittles be x

The first equation is

x + y = 61

And, the second equation is

y = 2x + 10

Now put the second equation in the first equation

x + 2x + 10 = 61

3x = 51

x = 51 ÷ 3

= 17

And, y = 2 (17) + 10

= 34 + 10

= 44

Hence, the red skittles be 44 and yellow skittles be 17

How do you write equations for horizontal and vertical lines?

Answers

Answer:

y=_

x=_

Step-by-step explanation

horizontal for y=_

vertical for x=_

just please help help help help

Answers

Answer:

C.{(-3,10),(-2,5),(1,2),(-2,-4)}

HELP PLZ

If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),



A. find each side length



B. classify the triangle based on the sides

Answers

Answer:

the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C

Step-by-step explanation:

You roll a dice twice.
Find the probability of getting 3 in first throw and 5 in second throw.

Answers

Answer:

1/6

Step-by-step explanation:

there are 6 faces on a dice so there's a 1 in 6 chance that you would roll a 3 on your second go there is still only a 1 out of 6 chance of getting a 5 because there is still 6 numbers you could roll on.

hope this helped

Solve for x:
2x + y = -2
4x + y = -8

Answers

Answer:

x = -3

Step-by-step explanation:

2x + y = -2

4x + y = -8

2x + y = - 2

y = -2x - 2

4x + y = - 8

y = -4x - 8

y = -2x - 2

y = -4x - 8

-2x - 2 = -4x - 8

4x - 2x = 2 - 8

2x = -6

2x/2 = -6/2

x = -3

To check just use da graph ;w;

The x is -3

Answer:

Step-by-step explanation:

x=  −1 −y/2

x= 4 −8−y/4

Please help me with this ;(

Answers

x=-2
Brainliest.
Good luck

Violet saw a scarf online for $24. If she has an 18% discount coupon what would be the discount amount?

Answers

The discount would be $4.32, and the total after the discount would be $19.68.

Solve for ddd. 6d-\dfrac{11}2=2d-\dfrac{13}26d− 2 11 ​ =2d− 2 13 ​ 6, d, minus, start fraction, 11, divided by, 2, end fraction, equals, 2, d, minus, start fraction, 13, divided by, 2, end fraction d=d=

Answers

Answer:

[tex]d = -\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Required

Solve for d

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Collect Like Terms

[tex]-2d + 6d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

[tex]4d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

Take LCM

[tex]4d=\dfrac{-13+11}{2}[/tex]

[tex]4d=\dfrac{-2}{2}[/tex]

[tex]4d = -1[/tex]

Make d the subject

[tex]d = -\dfrac{1}{4}[/tex]

Help me help me help me help me help me help me help me

Answers

Answer:

C. and A.

Step-by-step explanation:

1/6 is a positive number so that is automatically greater than -0.33 and 0.3 is  It's like, the bigger the number next to the negative sign, the MORE NEGATIVE it is, making it SMALLER.

Reward for answering question correctly:

So am I gonna get brainliest?

Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)

What is the measure of angle F in degrees?

Answers

it has to be around 90°, if you want something exact use a protractor :) or use something with a sharp edge to see if it’s 90° hope this helps :)

on a certain day the temperature at midday was 14°c.By midnight the temperature had fallen by 17°c what was the temperature at midnight​

Answers

Answer:

-3c

Step-by-step explanation:

Answer:

-3c

Step-by-step explanation:

according to my calculations this is right

Which of the following represents a non-linear equation?
A. y = 3x + 3
B. y = -3x
C. y = 1/3x + 3
D. y = 3/x

TIMED PLEASE HELP!!!!

Answers

Answer:

D

Step-by-step explanation:


A ladder rests 22 feet up the side of a building. If the base of the ladder is 20 feet away from the building, how tall is the ladder to the nearest hundredth?

Answers

Answer:

Length of ladder =L =15

Distance from wall = D =9

Height on wall = H =??

Pythagoras equation L*L = D*D + H*H

15×15= (9×9) + H×H

225-81 = 144 =HxH

H= 12 feet.

I am right or wrong

please check

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