Rewrite the expression in the form z^n

Rewrite The Expression In The Form Z^n

Answers

Answer 1

Answer:

  [tex]z^{ \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{\frac{z}{z^{\frac{1}{3}} } } = \sqrt{z \times z^{-\frac{1}{3}}[/tex]                         [tex][ \ \frac{a}{a^x} = a \cdot a^{-x} \ ][/tex]

       [tex]= \sqrt {z^{\frac{2}{3}}}\\\\[/tex]                                 [tex][ \ a^x \cdot a^y = a^{ x+ y} \ ][/tex]

       [tex]= (z^{\frac{2}{3}})^{ \frac{1}{2}}[/tex]                                [tex][ \ \sqrt{x^y} = (x^{y}) ^{\frac{1}{2}} \ ][/tex]

       [tex]= z^ {\frac{1}{3}}[/tex]                                     [tex][ \ (a^x)^y = a^{xy} \ ][/tex]


Related Questions

11/n=8/5 solve for n

Answers

Answer:

n = 55/8

Step-by-step explanation:

[tex]\frac{11}{n} = \frac{8}{5}\\\\cross \ multiply :\\ 8 \times n = 11 \times 5\\\\n = \frac{11 \times 5}{8} = \frac{55}{8}[/tex]

Answer:

[tex]n=\frac{55}{8}[/tex]

Step-by-step explanation:

First, cross multiply

[tex]\frac{11}{n} =\frac{8}{5}[/tex]

[tex](11)*(5)=8*n[/tex]

[tex]55=8n[/tex]

Now, flip the equation

[tex]8n=55[/tex]

Divide both sides by 8

[tex]\frac{8n}{8} =\frac{55}{8}[/tex]

[tex]n=\frac{55}{8}[/tex]

hope this helps :)

Would you rather be reborn into the past or future? Why?

Would you rather go into the past and meet your ancestors or go into the future and meet your great-great grandchildren? Why?

Would you rather have a rewind button or a pause button on your life? Why?


(I'm aware that this isn't a mathematical question, this is simply just for fun:)

Answers

Answer:

Future just cause I don't really have much interest about the past, moving forward as always. I'd like to see how things advance over time :")

I think a rewind is more useful in this case if I am able to correct my mistakes or have a moment back again, I'd like that.

what is the explicit formula for the nth term of the geometric sequence? -2,-16,-128,-1024

Answers

Answer:

an = a1 * [tex]8^{n-1}[/tex]

Couldn't find a subscript function so

an= a subscript n

a1 - a subscript 1

Step-by-step explanation:

2 x (126 + 2566)
(65 - 23) + 3

Answers

Answer:

226131

Step-by-step explanation:

use calculator

Answer:

226131

Step-by-step explanation:

What is the explicit formula for this sequence?
-6, -2, 2, 6, 10,....

Answers

Answer:

4n-10

Step-by-step explanation:

First we will use n as any number.

the difference between each of the numbers is +4

This creates first part of the formula.

4n...

If you do 4n and replace n as one (For the first number of the sequence) then 4×1=4. You then have to find out how much you need to add or subtract to get -6 so the difference between 4 and -6 is -10.

This creates the second part of our formula.

4n - 10

You can check this by doing the same thing for the second number and replacing n with 2.

2×4=8

8 - 10= -2 which is the second number in the sequence which confirms this is correct.

GUYYSSSSS I NEED SOMEBODY TO HELPPP MEEEEEEE

Answers

Answer:

Eliana saves at a greater rate because her unit rate of $42 per week is greater than Lana's $40 a week.

someone please help me with this math question

Answers

Answer:

3rd one

Step-by-step explanation:

Patterns are made using straight lines and arcs.

Pattern A (one row)
Pattern B (two rows)

More rows are added to Pattern B so that
number of straight lines : number of arcs = 7:6

How many rows are added?

Answers

5 rows were added to pattern B

5 rows are to be added in the pattern if the ratio will be 7:6 between number of straight lines.

What is a pattern?

A pattern is a sequence. It can be an AP, GP also.

How to determine the number of rows to be added?

present ratio between number of straight lines and number of arcs

=8:9

When we add 1 row it will increase 4 straight lines and 3 arcs. So when 5 rows are added it will increase 20 straight lines and 15 arcs.

Then total number of straight lines will be 28 and the total number of arcs will be 24 and the ratio will be 28:24 which after dividing by 4 becomes 7:6.

Hence 5 rows are to be added in the pattern B to get the ratio 7:6.

Learn more about arcs at https://brainly.com/question/2005046

#SPJ2

A mixture of 50 ounces of gas per ounce of oil has a ____: ____ gas to oil ratio

*show me how you got it*
-no random answers!!

Answers

Answer:

50:1

Step-by-step explanation:

To simplify the ratio 50:1, we find the greatest common divisor of 50 and 1, and then we divide 50 and 1 by the greatest common divisor.

The greatest common divisor that you can use to simplify 50:1 is 1. Which means the answer to ratio 50:1 simplified is:

50:1

Hope this helped :)

50:1

This person is right!!!

SOMEONE PLS HELP ME FIND X

Answers

Answer:

step one you look at the question until you find the ex cuz it says 125 degrees and 125 degrees 2x

Answer:

x = 50

Step-by-step explanation:

The sum of all entire angles in this, esentially a pentagon, add up to 540

To find x, use the following

540 = 125 + 125 + 90 + 2x + 2x

540 - 125 - 125 -90 = 4x

200 = 4x

200 / 4 = x

50 = x

Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as
Daniel.
Let k be Kevin's age and let d be Daniel's age.
Which system of equations renresents this situation?

Answers

Answer:

k - 2 = 4d - 8

d + 1 = 4d - 8

Step-by-step explanation:

Daniel's age = d

Kevin's age = k

Given that, k = d + 3 -------------- (1)

Two years ago, the age of Daniel = d - 2

Two years ago, the age of Kevin = k - 2

Since,  two years ago, Kevin was 4 times as old as

Daniel, k - 2 = 4(d - 2)

Opening the bracket,

k - 2 = 4d - 8

Since the value of k is d + 3 (see (1))

d + 3 - 2 = 4d - 8

d + 1 = 4d - 8

(I am just giving the answer cause I LOVE Linear Equation )

1 + 8 = 4d - d

9 = 3d

9/3 = d

3 = d

Therefore, Daniel's present age is 3 and Kevin's present age = 6

Hope You understood

Thank You

Please mark me as brailiest                

                       


Do coins are flipped 60 times, and the outcomes are recorded in the table. For which outcome was experimental probability close to the theoretical probability?

Answers

One head one tail

Please mark brainliest
one head one tail hdjdhjdjdjdj

2 2/3 divided by 4 1/4​

Answers

Answer: your answer is 32/51

Step-by-step explanation:

Answer:

[tex] \frac{32}{51} [/tex]

Step-by-step explanation:

[tex]2 \frac{2}{3} \div 4 \frac{1}{4} [/tex][tex] \frac{8}{3} \div \frac{17}{4} [/tex]

To divide by a fraction, multiply by its reciprocal.

[tex] \frac{8}{3} \times \frac{4}{17} [/tex][tex] \frac{8 \times 4}{3 \times 17} [/tex][tex] \frac{32}{51} [/tex]Hope it is helpful...

Find the value of x.
A.) 34
B.)23
C.)56
D.)14

Answers

Answer:

x = 23°

Step-by-step explanation:

90 = 3x - 9 + x + 7

90 = 4x - 2

92 = 4x

x = 23°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The whole thing = 180 and the left side = 90 so the right must be equal to 90.

Using this info, we can combine so (3x - 9) + ( x + 7) = 4x - 2.

4x - 2 is equal to 90 as that is the right side. So we have to use the different properties of equality.

4x - 2 = 90
+ 2 + 2

4x/4 = 92/4

X = 23! So the answer is B.

The output is five times the input increased by four. Translate this to an equation.

(Will give brainliest if correct.)​

Answers

Answer:

Y will be output and x is input

y = (x * 5) + 4

I think this is right.

Please please help me !!!

Answers

the second answer choice i belive

Answer:

D - x=y/12

Step-by-step explanation:

So lets just take one set of data from the table.

This is all we need.

So I am just going to set our values to:

x = 21

y = 252

Now lets plug this into each equation, ands ee if it is accurate or not:

21=12+252

=

21=264

Thats not right! Lets try the next one:

21 = 252/12

=

21 = 21

Thats correct! Lets just try the other ones anyway:

21 = 252 - 12

=

21=240

Thats not right! Lets try the last one:

21 = 12*252

=

21 = 52,424

That is most definatly not right!

So the answer is B, x=y/12

Hope this helps!

Find the value of x.

Answers

Answer:

100

Step-by-step explanation:

The two angles form a straight line which is 180 degrees

5+x  +75 = 180

Combine like terms

x+80 = 180

Subtract 80 from each side

x +80-80=180-80

x = 100

Answer:

x=100°

Step-by-step explanation:

(5+x)°+75°=180°(being a straight line)

x=100°

please i need help wha is 5/3 + 2/4

Answers

Using like denominators, we can turn this into 20/12 + 6/12, then you just add the numerators to get 26/12, then simplify to get 13/6

Answer:

26/12

simplify—>13/6

Step-by-step explanation:

Find the LCD (lowest common denominator)

The LCD of these two fractions is 12. Convert them to their denominators.

5/3 *4/4 = 20/12

2/4 *3/3= 6/12

Then add! 6/12 + 20/12 = 26/12

Simplify —> 13/6

Based on the figure below, what is the value of x? (5 points) A right angle is shown divided in two parts. The measure of the angle of one part is 30 degrees and the measure of the other part is 5x plus 15 degrees.

Answers

Answer:

Hello! answer: 9

Step-by-step explanation:

Assuming this is a complementary angle (meaning it will add up to 90 degrees)

5 × 9 = 45 45 + 15 = 60 60 + 30 = 90 therefore x = 9 Hope that helps!

I don’t see a figure.

Combine like terms. What is a simpler form of each expression?
-3(4y - 8) – 4y

Answers

Answer:

A) -16y+24

Step-by-step explanation:

Distribute -3 with 4y and -8

-12y+24-4y

Add -12y and -4y

-16y+24

Answer is -16y+24

Hope this helps!

if 5k - 14= 26, then what is k?

Answers

Answer:

k = 8

Step-by-step explanation:

5k - 14 = 26

5k - 14 + 14 = 26 + 14

5k = 40

5k ÷ 5 = 40 ÷ 5

k = 8

A fair coin is tossed n times. For which value of n can the experimental probability of tossing tails equal the theoretical probability?

Answers

Answer:

The value of the coin tosses per time in the air

Step-by-step explanation:

The value of n for which the experimental probability of tossing tails can equal the theoretical probability is any even number.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The theoretical probability of tossing tails in a fair coin is 0.5 or 1/2.

The experimental probability of tossing tails in n trials is the number of times tails appear divided by n.

So, we want to find a value of n such that:

number of times tails appear / n = 0.5

Solving for n:

number of times tails appear = 0.5n

Since the number of times tails appear must be a whole number, n must be even.

This is because if n is odd, then it is not possible to have exactly half the trials result in tails.

For example,

If n=3, the possible numbers of tails that can appear are 0, 1, 2, or 3. Half of 3 is 1.5, which is not a whole number, so it is impossible to have exactly half the trials result in tails.

On the other hand,

If n=4, the possible numbers of tails that can appear are 0, 1, 2, 3, or 4.

Half of 4 is 2, which is a whole number, so it is possible to have exactly half the trials result in tails.

Therefore,

The value of n for which the experimental probability of tossing tails can equal the theoretical probability is any even number.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ3

A.12B Evaluate f(x)=-2x+13 for f(10)

Answers

-7 i believe :))))))

Answer:

-7

Step-by-step explanation:


solve for j
PLEASE SHOW WORK IF YOU CAN

Answers

Answer:

j = 15

Step-by-step explanation:

The angles shown form a straight line

Angles on a straight line must add up to 180 degrees

Hence, 2j + 32 + 6j - 2 + 30 = 180

( note that we just created an equation that we can use to solve for j )

We now solve for j using the equation we created.

2j + 32 + 6j - 2 + 30 = 180

step 1 combine like terms

2j + 6j = 8j

32 - 2 + 30 = 60

we now have 180 = 8j + 60

step 2 subtract 60 from each side

60 - 60 cancels out

180 - 60 = 120

we now have 120 = 8j

step 3 divide each side by 8

120 / 8 = 15

8j / 8 = j

we're left with j = 15

The answers is j=15

someone help me................

Answers

alright i think it is 6.8

Answer:

[tex]-z^{2} =-25[/tex]

Step-by-step explanation:

The value of z is given as [tex]-5[/tex]

The expression is given as [tex]-z^{2}[/tex]

Substitute the value of z in the expression:

[tex]=-(-5)^{2}[/tex]  {add the value inside the bracket to avoid mistakes}

[tex]=-1[/tex] × [tex](-5)^{2}[/tex]

[tex]=-1[/tex] × [tex]((-5)[/tex] × [tex](-5))[/tex]

[tex]=-25[/tex]

Describe how to solve the inequality 3x+4<13 using a number line.

Answers

Answer:

3x+4<13

3x<9

x<3

hope this helps

have a good day :)

Step-by-step explanation:

What is the difference in the volume of a cylinder having a radius of 4 and a height of 8, and the volume of a rectangular prism having dimensions of length = 10, width = 7 and height = 6? Use 3.14.
Round to the nearest hundredth.

Answers

Answer:  18.08

===========================================

Work Shown:

The cylinder has volume of...

V = pi*r^2*h

V = 3.14*4^2*8

V = 401.92

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

The rectangular prism has a volume of...

V = L*W*H

V = 10*7*6

V = 420

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

Subtract the two results:

420-401.92 = 18.08

The cylinder has roughly 18.08 more cubic units of volume compared to the rectangular prism.

Answer:

volume of cylinder: V=Sđ*h=R^2*3.14*8

volume of rectangular prism: V=Sđ*h=10*7*6

Please do the calculations yourself for the above 2 calculations  

Step-by-step explanation:

I’m little confused can any explain?


(NO LINK PLS <3)

Answers

Answer:

13

Step-by-step explanation:

To find the range substitute the value of x from the domain into the equation.

x = - 2 : y = -5(- 2) + 3 = 10 + 3 = 13

x = 0 : y = - 5(0) + 3 = 0 + 3 = 3

x = 1 : y = - 5(1) + 3 = - 5 + 3 = - 2

x = 3 : y = - 5(3) + 3 = - 15 + 3 = - 12

range is { - 12, - 2, 3, 13 }

with greatest value in the range being 13

A pile of 15 boxes is 3 metres high. What is the depth of each box?
5 m
.002 km
200 cm
200 mm

Answers

200mm is the right answer

The area of a rectangle is 44 square units. Its length measures 11 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.

Answers

Answer:

d=11.7

Step-by-step explanation:

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