Which of the following lists of values contain rational numbers only?

Group of answer choices

90, -1.375 , π


−81−−−√,7√7√,4.16


28−−√,0,313


639,116−−√,50−−√

Step-by-step explanation:

remember, i = sqrt(-1)

you know what an exponent means, right ?

it means you multiply the enclosed term that many times with itself.

when you envision this as a long chain of (1+i)/(1-i) multiplications, you can see you can group them into pairs, and then multiply these pairs - just half the times than for the single terms.

so,

((1+i)/(1-i))²⁰²⁰ = ((1+i)/(1-i))² ^ 1010

to get an idea what the result of the long chain of multiplications might be, let's start with the square and see, if we can find a pattern, that we then can use to come to a conclusion about the total result.

((1+i)/(1-i))² = (1+i)²/(1-i)²

(1+i)² = 1×1 + 1×i + 1×i + i² = 1 + 2i - 1 = 2i

(1-i)² = 1×1 - 1×i - 1×i + i² = 1 - 2i - 1 = -2i

so,

((1+i)/(1-i))² = 2i/-2i = -1

aha !

so,

((1+i)/(1-i))² ^ 1010 = (-1)¹⁰¹⁰

just to be sure you understand, we use the same trick again

(-1)¹⁰¹⁰ = (-1)² ^ 505 = 1⁵⁰⁵ = 1

as 1 to any power is always 1.

so, the right answer is A.

remember, a negative number to an even power results always in a positive number. and to an uneven/odd power in a negative number.

again, because such an exponent is only the summary of many multiplications.

Answer:

x = 12

Step-by-step explanation:

The sum of exterior angles is = 360

one of the angle is given we will need to add all three angles

128 + 8x + 11x + 4 = 360 add like terms

19x + 132 = 360 subtract 132 from both sides

19x = 268 divide both sides by 19

x = 12 replace x in required expressions to find the measure of the angles

Answer:

see below

Step-by-step explanation:

let the four blanks be

A     B

C     D

the x-value of each function is given on the leftmost column,

So,

A = 2 * (x^2) = 2 * (1^2) = 2 * 1 = 2

B = 2^x = 2^1 = 2

C = 2 * (x^2) = 2 * (2^2) = 2 * 4 = 8

D = 2^x = 2^2 = 4

Answer:

according to how i see all numbers are rational

Answer:

Rational:

0.63

-15.5

-11/4

2 1/2

NOT Rational:

-25.348197

0.314587

Step-by-step explanation:

hope this helps ya (⁠ ⁠╹⁠▽⁠╹⁠ ⁠)

Answer:

2

Step-by-step explanation:

3x + 7=15 -x

4x= 8

x= 2

3*2 + 7 = 15-2

Answer:

Terms are positive or negative single mathematical expressions.

Step-by-step explanation:

Answer:

I believe the answers to be:

A. "Sum"

B. "Quotient"

A. "Sum"

Answer:

8

Step-by-step explanation:

Answer:

show everything

Step-by-step explanation:

copy and paste all of all of the problem

#a

Co-ordinates are

#b

No,Both triangles are congruent not same.

#c

#d

Yes ratio is same as they are congruent

Answer:

Question A:

A.) (0,0)

B.) (3,3)

C.) (9,6)

Question B:

No, both triangles are congruent, not the same change in x-values.

Question C:

No, both triangles do not have are not the same change in y-values.

Question D:

Yes, their ratios of change are the same.

Answer:

a and d

Step-by-step explanation:

Answer:

43/18

Step-by-step explanation:

Hope this helps

Answer:43/18 or 2 7/18 or 2.38

Step-by-step explanation:5/6-4/9+2

Answer:

36

Step-by-step explanation:

hope this helps

8+7+5+7+9

15+5+7+9

20+7+9

27+9

36

= 8+7+5+7+9

= 15+5+7+9

= 20+7+9

= 27+9

= 36

25.50

Hope this helped you- have a good day bro cya)

Answer:

The answer is A

Step-by-step explanation:

Answer:

option A is the right answer correct me if im wrong

Answer:

the answer for question no 8 is. option second...ie 17

Answer:Secondary sources are works that analyze, assess or interpret an historical event, era, or phenomenon, generally utilizing primary sources to do so. Secondary sources often offer a review or a critique. Secondary sources can include books, journal articles, speeches, reviews, research reports, and more.

Step-by-step explanation:

Answer:

x > 4

Step-by-step explanation:

hope this helps

Answer:

X = 3

Mode: 11median: 9

Step-by-step explanations

3x = 3*2 = 6

(6,7,8,8,9,10,11,11,11)/9 = 81/9 = 9

The value of X = 3

Mode: 11

Median: 9

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

Mode is that number that appears most frequently in the given set of data.

We are given that  the ages in years of members of group 8, 11, 8,10 ,6, 7, 3x ,11, 11 if the mean age is 9 years

3x = 3(2 )= 6

Mean = (6,7,8,8,9,10,11,11,11)/9

= 81/9

= 9

Learn more about mean and median;

https://brainly.com/question/17060266

#SPJ2

Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.

Given the system of equation expressed as:

3x + y = 3

x - 2y = 4

Solve simultaneosly;

3x + y = 3 ............. 1 * 1

x - 2y = 4 ...............2 * 3

_________________________

3x + y = 3

3x - 6y = 12

Subtract

y-(6y) = 3 - 12

7y = -9

y = -9/7

Substitute y = -9/7 into the equation to get x

x - 2y = 4

x - 2(-9/7) = 4

x + 18/7 = 4

x = 4 -  18/7

x = 3/7

Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.

Learn more here: https://brainly.com/question/20052273

Answer:

x=6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Then solve

x

=

6

Answer:

x = 6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable and solve for x.

Answer:

by + ax + c = 0

              -c   -c

by + ax = d

by/b       d/b

ax/a = e/a

     f = x

Step-by-step explanation:

There were no numbers so I substituted them for letters :)

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Just divide the top of the fraction by the bottom

Step-by-step explanation:

Hope this helps :)

pls make brainliest :p

Answer:

Exponent - "a quantity representing the power to which a given number or expression is to be raised"

Base - "The number that gets multiplied when using exponents"

Power - "The number of times you use the number in multiplication"

Expanded Form - "A way to write a number by adding the value of its digits"

Standard form - "A way of writing down very large or very small numbers easily."

Exponential form - "a shortcut way of writing repeated multiplication involving base and exponents"

Answer:

r

Step-by-step explanation:

Answer:

$6.99

Step-by-step explanation:

add the number of pounds to gwet the total number of pounds

4.3+1.7=6

divide

41.94/6

$6.99 per pound

Hope this helps!

Let the number be x

6a+6= a-9

collect the like terms

5a=-15

a= -3

6(-3) +6= -3 -9

-12= -12

The number is -3

Answer:

no i cant

Step-by-step explanation:

i just need points uwu

baka sussy