How do you write this in index form?

How Do You Write This In Index Form?

Answers

Answer 1

The general form is nthroot{a} in index form looks like this: a^(1/n).

Let's rationalize the denominator first.

Doing so, we get (1/2)sqrt{2}.

In index form, the sqrt{2} = 2^(1/2).

We now have (1/2)[2^(1/2)].

Is this clear?


Related Questions

As ____ increases, ___ tends to increase/decrease

Answers

Answer:

what is the context? i dont understand what is increasing/ decreasing pls elaborate more!!

Step-by-step explanation:

3/7 of the students in a school are girls. If there are 64 boys find how many girls there are

Answers

Answer:

About 28

Step-by-step explanation:

Answer:90

Step-by-step explanation:Hi.

Here is your answer---

Let the number of Students in a school be x.

Thus,Number of Girls = 3/7 of the total Students

= 3/7 of x

= 3x/7

We know,

Number of Boys + Number of Girls = Total Students.

64 + 3x/7 = x

64 = x - 3x/7

64 = (7x - 3x) /7 [Taking L.C.M.]

64 × 7 = 4x

x = 60 × 7

x = 420

Total number of Students in a school is 420.

Thus, Number of Girls = 3/7 × x

= 3/7 × 420

= 90

Thus, the number of Girls in a school is 90.

______________________

Hope it helps.

Have a nice day.

Can u pls find the center of dilation for this point!!

Answers

Answer:

Q² (R³,S)

Step-by-step explanation:

Write an equation in point-slope form of the line that passes through the point (7,-5) with slope -1/7.

y-|_| = |_| (x-|_|

Sorry, these are boxes like fill in the blanks |_|

Answers

Answer:

y− y 1 = m ∗ ( x − x 1 )

Step-by-step explanation:

Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.

Answers

Answer:

Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.

The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.

Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.

3x2 + 15x = 252

Is it possible for the width of the tray to be 7.5 centimeters?

no it is too large

Step-by-step explanation:

An equation is formed when two equal expressions. The equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the width of the rectangular prism die be represented by x.

Given that the length of the tray should be five centimeters longer than its width. Therefore, the length and the width of the prism can be written as,

Width = x

Length = x + 5

Further, it is given that the volume of die is 252 cubic centimeters in order for the dice to roll properly. Also, the height of the prism is 3 centimeters. Therefore, the Volume can be written as,

Volume = Length × Width × Height

252 = (x + 5) × x × 3

252 = 3x(x+5)

252 = 3x² + 15x

3x² + 15x - 252 = 0

Hence, the equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.

Learn more about Equation:

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YO I NEED HELP ON THIS I SUCK AT MATH!!!!!!!

Answers

Answer:

12$ per lawn mowed

Step-by-step explanation:

Jose spent $ 2.00 for 20 pieces gum and joe spent $1.50 for 10 pieces of gum who go the better deal ?

Answers

Answer:

jose

Step-by-step explanation:

2.00 ÷ 20 = 10 c

1.50 ÷ 10 = 15 c

Answer:

joe 's is better

Step-by-step explanation:

may be iam not sure

best of luck

Please help asap! Due tonight!

Answers

Answer:

A, [tex]\sqrt{17}[/tex]

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + b^2 = 9^2

64 + b^2 = 81

b^2 = 17

b = [tex]\sqrt{17}[/tex]

Answer:

by pythagoras theorem

9² = 8² + x²

x² = 81 - 64

x² = 17

x = root 17

option A

If y = -30 when x = 15, what is the value of x when y = 60?

Answers

Answer:

If y = -30 when x = 15

then x = 60 when y = 60

the distance between two towns is 300 km two cars start simultaneously from this towns and move towards each other the speed of one car is more than the other by 7 km per hour if the distance between the cars after 2 hours is 34 kilometre find the speed of the cars​

Answers

Answer: I think its 131.19, but not too sure.

Step-by-step explanation:

To find the speed, you would do distance/time, so I added 300 and 7. I got 307, then I divided 307 (distance) from 2.34 (time). I got 131.19

Do you want the speed of both cars? then the answer would be:

(300)- first car= 128.20

(307)- second car= 131.19 (if you need to round this answer, it would be 131.2)

1. Explain why the sine law cannot be used to find the length of the third side of a triangle when
the known angle is contained between the two known sides

Answers

Answer:

The law of Sines is used to determine a missing side or angle measurement

Step-by-step explanation:

When saying Sine Law, I am pretty sure you mean the Law of Sines.

This is the equation

a/sine a = b/sine b

To use the Law of Sines you need 2 angle measurements and 1 side length, or 2 side lengths and 1 angle measurements. Law of Sines is used to find the missing angle or side. Not to find the third side.

To find the length of the third side you would use pythagorean theorem.

Indicate the formula for the following conditions.
P^c(n,r) = ?

Answers

Answer:

The answer is C(n,r) = n!/[(n-r)!r!]

Plz mark brainliest

Answer:

I think it is : n!

Step-by-step explanation:

HHHHHHHelp You like to watch movies at the local cinema. You have two payment options. Option A is to buy a discount card, which will cost you $160, and then $10 per movie. Option B is to pay $50 per movie. After how many movies will the total costs of the two options be the same

Answers

Answer:

After 4 movies it will be equal

Step-by-step explanation:

10x + 160 = 50x

160 = 40x

4 = x

Check:

10x + 160 =

10(4) + 160 =

40 + 160 = 200

50x =

50 x 4 = 200

200 = 200

494 divided by 14 is

Answers

Answer:

35.28571429

or rounded to the hundreths is 35.29

Step-by-step explanation:

Answer:

35.2857142857

Step-by-step explanation:

Please answer if you actually know

√24b^3 • √40b^2 • b^2

Thank you

Answers

Answer:

[tex](8\sqrt{15}).b^{\frac{9}{2} }[/tex]

Step-by-step explanation:

[tex]\sqrt{24b^{3} } . \sqrt{40b^{2} } .b^{2} = (\sqrt{24})b^{\frac{3}{2} } . (\sqrt{40})b. b^{2} \\\\= (\sqrt{24.40}).b^{\frac{3}{2} + 1 +2} \\\\= \sqrt{960} .b^{\frac{9}{2} } \\\\= 8\sqrt{15}.b^{\frac{9}{2} }[/tex]

Answer:

8b^3\sqrt[15b]

Step-by-step explanation:

I did it on Khan Academy

can someone help me really quickly and have a explainton for as well
[tex] |c + 4| = 6[/tex]

Answers

2 is the answer. 2+4=6.

Solve the equation for y.
3x + jy= 7

Answers

Answer:

[tex]y=\frac{7-3x}{j}[/tex]

Step-by-step explanation:

First, subtract 3x. This leaves you with jy=7-3x. Then, divide by j, leaving you with [tex]y=\frac{7-3x}{j}[/tex] .

Graph the line with the equation y=-x-5y=−x−5.

Answers

Answer:

Just getting points i hope u find the answer tho :))

Step-by-step explanation:

Annabella Works in a deli and has been tracking the daily sales of different items over several months Annabelle found that when there was an increase in the number of cups of hot chocolate sold the number of cups of coffee sold also increased similarly where there was a decrease in the number of cups of hot chocolate sold the number of cups of coffee also decrease which of the following is a valid conclusion

Answers

What are the conclusions?
I would assume that even though both hot chocolate and coffee increased and decreased at the same time, they are not a correlation since one doesn’t cause the other to increase/decrease

Answer:

The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee.

Step-by-step explanation:

For Plato

The school is having a dance as a fundraiser. Tickets cost $. Each

Answers

Answer:

How are we supposed to know .???

we can only see half of the problem

Step-by-step explanation:

Can u give me the rest of the question please if not this for the free point

If b(x) = negative2(x​​minus50), what is the value of b(20)?

Answers

Answer:

b(20) = 60

Step-by-step explanation:

Here, given that ;

b(x) = -2(x-50)

we want to find the value of b(20)

what we need to do is to simply substitute x for 20

That will be:

b(20) = -2(20-50)

b(20) = -2(-30)

b(20) = 60

Quadrilateral ABCD is shown. Two students each perform a different reflection on the original figure.

Use the drop-down menus to give the coordinates of point B' after each reflection.

Answers

Answer:

Pauline reflected the original figure over the x-axis:

The coordinates of point B will be (4,3)

Carl reflected the original figure over the y-axis:

The coordinate of points B will be (-4,-3)

When Pauline reflect the original figure over the x-axis, the coordinate of point B' will be (-2, -4). When Carl reflect the original figure over the y-axis, the coordinate of point B' will be (2, 4).

What is a reflection?

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Mathematics, a reflection over the x-axis is given by this transformation rule:

(x, y)                   →               (x, -y)

Point B = (4, -3) → Point B' = (4, 3)

In Geometry, a reflection over the y-axis of a graph is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, the coordinates of point B' after a reflection over the y-axis is as follows:

Point B = (4, -3) → Point B' = (-4, -3)

Read more on reflection here:

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jhvfjkhwevjkhwvfjkhwvefoiuwbjen bgeuiwbkjdsv,guewkbjsdvguewsdvjkb

Answers

Answer:

hruehufheuhuirfeuiwhfiueh

Step-by-step explanation:

nfjdnsjfndjfnjrhurewkjl jfe;wajifehji frejkafn

Answer:

I believe it is D.

Step-by-step explanation:

In the problem it says that g is greater than or equal to 5. This means that the circle or dot on the number five will be closed and the arrow will be pointing the right, where the values greater than 5 are located. The closed circle means that g can be equal to five, or it could be greater. A open circle means that the variable cannot be the value in which it is placed on.

Find the slope of the sides of the given quadrilateral from following figures.​

Answers

Answer:

side DA = side CB = slope is Undefined

side DC = side AB = slope is 0

Step-by-step explanation:

To find the slope we use the following

m = [tex]\frac{(y2 - y1)}{(x2 - x1)}[/tex]

The slope for side DA is the same as side CB; also their value for x value will be the same on the line; leaving the bottom of the slope equation at 0.

That means that side DA = side CB = slope Undefined

The slope for side DC is the same as side AB; also their value for y value will be the same on the line; leaving the top of the slope equation at 0.

That means that side DC = side AB = slope 0

Mrs. Tart takes a survey in class. She discovers 60% of her students prefer using pens over pencils in class.

If 12 students in Mrs. Tart’s class prefer to use pens, how many total students are in Mrs. Tart’s class?

Answers

Answer:

20 students

Step-by-step explanation:

Answer:20 students

Step-by-step explanation:

2.5
Read the Math Notes box for this lesson, which
describes how to find the area and perimeter of a
shape. Then examine the rectangle at right. If the
perimeter of this shape is 120 cm, which equation
below represents this fact? Once you have selected
the appropriale equation, solve for c.
2.1 + 5 + 61-1= 120
4(
6-1-20
2(6x-1)+220+5)= 120
d.
(2x + 56.X-1 = 120​

Answers

Find full question attached

Answer and explanation:

The perimeter of a rectangle is the sum of all the sides of the rectangle.

From the question(attachment) we can see the length and width of the rectangle given. Therefore, to find the perimeter of the rectangle we add up the length(2 sides) and the width(2 sides).

The width = 6x +1

The length = 2x-5

Therefore the equation of the perimeter 120 :

6x-1+6x-1+2x+5+2x+5 =120

Also same thing as

2(6x-1)+2(2x+5)=120

Hence, correct option is C

the triangles are congruent by

Answers

...........

Step-by-step explanation:

ASA, AAS and SAS

What is an equation of the line that passes through the points (4, -2) and (8,3)?

Answers

Use the equation to find the slope: m=y2-y1/x2-x1 and plug in each of the y coordinates into the numerator and each of the x coordinates in the denominator

m=-2-3/4-8
-5/-4
m=5/4

Plug in the slope and one of the ordered pairs into y=mx+b. I’ll use (8,3)

3=5/4(8)+b
3=10+b
-7=b

Equation: y=5/4x-7

Please explain in detail with a proper answer.

A pair of dice is rolled. If you know one of the dies shows a 5, what is the probabiility that the sum is 8.

Answers

Answer:

5/36

Step-by-step explanation:

So a pair of dice is rolled. 2 dices. A dice has 6 numbers (1,2,3,4,5,6).

Now draw a sample space.

 1  2  3  4  5  6

1 2  3  4  5  6  7

2 3  4  5  6  7  8

3 4  5  6  7  8  9

4 5  6  7  8  9  10

5 6  7  8  9  10  11

6 7  8  9  10  11  12

It's asking for SUM, so we plus. Thats why you see this.

So look for all the 8's in the sample space. Theres one in (6,2), (5,3), (4,4), (3,5) and (2,6). Thats 5. We divide that with the total. The total is 36 because there are 36 possible values. so 5/36

g(x) = 5x - 12. What is g(8)?
Your answer

Answers

Answer:

28

Step-by-step explanation:

Replace x for 8 in the equation and solve it normally

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