Explain why the square root of a number is defined to be equal to that number to the 1/2 power

Answers

Answer 1

Answer:

Because square root is essentially the same thing as the power to a half

sqrt(x) is the same as (x)^1/2


Related Questions

reciprocal of 2 3/11

Answers

Answer:

11/25

Step-by-step explanation:

Reciprocal is the fraction flipped

Alexandra wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. How much will Option 2 be worth after 20 years?


A.

$6727.50


B.

$3000.00


C.

$7400.25


D.

$5604.41

Answers

d

$5604.41 will be worth after 20 years I think

Compound interest is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

Option 2 will be worth $7400.25 after 20 years.

Option C is the correct answer.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

Option 2.

1st year.

Principal = 1100

2nd year.

Principal = 1210

3rd year.

Principal = 1331

(1210 - 1100) / 1100 x 100

= 110/1100 x 100

= 10%

This means,

It is increasing at a rate of 10% annually.

Now,

P = $1100

r = 10%

n = 1

t = 20

A = P [tex](1 + r/n)^{nt}[/tex]

A = 1,100 [tex](1 + 0.1)^{20}[/tex]

A = $7400.25

Thus,

Option 2 will be worth $7400.25 after 20 years.

Option C is the correct answer.

Learn more about compound interest here:

https://brainly.com/question/13155407

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Meg visited her Aunt Clare for lunch. After they ate, Aunt Clare made tea. She put the same amount of black tea and milk in both their cups, but Meg decided to add some extra milk to hers. Which cup of tea was darker after they had finished adding milk?

Answers

Answer:

Aunt Clare

Step-by-step explanation:

Milk makes tea weaker, therefore the one with less milk (Aunt Clare's) is darker.

Answer:Aunt clares is darker

a force of magnitude 10n is applied in the directions 3i-4j to displacement point of action from A to B of position vectors 2i+j,5i-2j respectively. Find the work done. ​

Answers

An object at point A moving to point B is displaced in the direction of

r = (5i - 2j) m - (2i + j) m = (3i - 3j) m

(I assume distance is measured in meters)

If the force is F = (10 N) (3i - 4j), then the work performed by F in the direction of r is

F • r = (10 N) (3i - 4j) • (3i - 3j) m = (10 N) (9 + 12) m = 210 J

Ayudaaa necesito resolver 2 ejercicios
A) √x+2=x
B) 3+√2x-6=x

Answers

Answer:

A) x=4

B)x=[tex]\sqrt{2}[/tex]+3 or 7.24

Step-by-step explanation:

A is 4 but I’m not sure about b

I need seriously help. Exponents suck.


this pictute ⇊

Answers

Answer:

4.5 × 10^46

Step-by-step explanation:

(4.8 × 10^19) · (9.47 × 10^26) = 4.5 × 10^46

Pls help I’m trying to solve for x

Answers

Answer: x = 28

Please give Brainliest if this helped you

Step-by-step explanation:

I need help
What does x² equal?

Answers

Answer: we need to know what the equation is

Step-by-step explanation:

Need to review this problem for finals help pls

Answers

Answer:

Step-by-step explanation:

Slope form: y=mx+b

given slope and x intercept:

y=3x+b

let y=0

0=3(7)+b

b=-21

so:

ANSWER: y=3x-21

The solution of the equation 3 + 5 (t-1) = 33 is ________.​

Answers

Answer:

the solution is  =  7

[tex]3 + 5(t - 1) = 33 \\ = > 3 + 5t - 5 = 33 \\ = > 5t = 33 - 3 + 5 \\ = > 5t = 30 + 5 \\ = > 5t = 35 \\ = > t = \frac{35}{5} \\ = > t = 7[/tex]

Answer:

7

Hope you could get an idea from here.

Doubt clarification - use comment section.

How many pennies are on the nth square? 2n 2n â€"" 1 2n 1 2n â€"" 1 2n 1.

Answers

The number of pennies is an illustration of pattern and sequence.

The number of pennies in the nth square is [tex]2^{n-1[/tex]

From the complete question, we have the following parameters

[tex]f(1) =1[/tex]

[tex]f(2) =2[/tex]

[tex]f(3) =4[/tex]

[tex]f(4) =8[/tex]

Rewrite the functions as follows:

[tex]f(1) = 2^0[/tex]

[tex]f(2) = 2^1[/tex]

[tex]f(3) = 2^2[/tex]

[tex]f(4) = 2^3[/tex]

Express 3 as 4 - 1

[tex]f(4) = 2^{4-1[/tex]

Replace 4 with n

[tex]f(n) = 2^{n-1[/tex]

Hence, the number of pennies in the nth square is [tex]2^{n-1[/tex]

Read more about pattern and sequence at:

https://brainly.com/question/24655254

1+12-9+23409-1238 -12313+122321

Answers

1 that’s your answer :)

evaluate f*ds where f = <3xy^2,3x^2y,z^3> and m is the surface of the sphere of radius 5 centered at the origin

Answers

The value of f.ds = 20π.

What is Flux?

The quantity of electric or magnetic field lines that flow across a surface in a specific period of time is known as flux. Field lines offer a way to visualise the size and direction of the field under study.

Given:

f = <3xy²,3x²y,z³>

Using Divergence Theorem

P= 3xy²

Q= 3x²y

R = z³

So, dP/ dx= 3y²

dQ/ dy = 3x²

dQ/ dz = 3z²

So, [tex]\int\limits\int\limits\int\limits dV[/tex]= [tex]\int\limits\int\limits\int\limits (dP/ dx + dQ/dy+ dR/dz)[/tex]

= [tex]\int\limits\int\limits\int\limits[/tex] (3y² + 3x² + 3z²)

= [tex]\int\limits\int\limits\int\limits[/tex] 3 (y² + x² + z²)

Since the radius is 5.

= [tex]\int\limits\int\limits\int\limits[/tex] 3(5)

= 15 [tex]\int\limits\int\limits\int\limits[/tex] dV

= 15 (4/3)π

= 20π

Learn more about flux here:

https://brainly.com/question/14527109

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write the equation of a line that passes through the points (-7,-4) and (-5,-6)

Answers

Answer:

y=-x-11

Step-by-step explanation:

A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the flaps are folded upward
to form an open box. If the volume of the box is 2730 in3, what were the original dimensions of the piece of metal?
What is the original width? in

Answers

Answer:

Here you go

Step-by-step explanation:

24 original width

49 original length

please help me asap


ty :)

Answers

Answer:

y = 5x+7

Step-by-step explanation:

Parallel lines have the same slope so y = 5x+9 is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 5

The new line will have a slope of 5

y = 5x+b

We know a point on the line (-2,-3)

Substitute this point into the equation

-3 = 5(-2)+b

-3 = -10+b

-3+10 = b

7 = b

y = 5x+7

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

The line parallel to y = 5x + 9 is given in the form of y = mx + c. Here,

m = slope c = y-intercept (x = 0)

The new line will have a y-intercept and a slope of line which is given by y = 5x + b. The point on line is (-2, -3).

Placing this point in the upper equation,

[tex]:\implies\rm{ - 3 = 5( - 2) + b}[/tex]

[tex]:\implies\rm{ - 3 = - 10 + b}[/tex]

[tex]:\implies\rm{ - 3 + 10 = b}[/tex]

[tex]:\implies\rm{7 = b}[/tex]

Placing b = 7 in equation we get,

[tex]:\implies\rm{y = 5x + b}[/tex]

[tex]:\implies\rm{y = 5x + 7}[/tex]

how many 7 digit numbers are there where all the digits are different and are in increasing order

Answers

Answer:

  36

Step-by-step explanation:

Usually, when we talk about an n-digit number, we mean one that has no leading zeros. If we use all 9 non-zero digits, the single number having increasing digits is ...

  123456789

We cannot swap any digits and have the digits remain in increasing order. The only thing we can do to create different numbers is remove different pairs of digits.

There are 9C2 = 9·8/(2·1) = 36 different ways to choose 2 digits from 9. Thus, there are 36 possible 7-digit numbers with the digits in increasing order.

__

Additional comment

The first few are 1234567, 1234568, 1234569, 1234578, 1234579, 1234589, ...

Share 120 in the ratio 3:5:7

Answers

Answer:

24:40:56

Step-by-step explanation:

3+5+7=15

120/15=8 1 Ratio is 8

3x8=24

5x8=40

7X8=56

i dont know if its the easiest method

please help me asap!!!


ty :)

Answers

Answer:

the desired line is y = 3x - 4

Step-by-step explanation:

The slope formula is not needed here.  If the given line is y = 3x - 2, we can see immediately that the slope is 3, in both cases.

Find the y-intercept as follows:

y = mx + b => 5 = 3(3) + b, or b = -4

Then the desired line is y = 3x - 4

In(3x-1)+4 i don't know the answer

Answers

Answer:3x+5

Step-by-step explanation:

Answer:

In(3xe^4 - e^4)

Step-by-step explanation:

In(3x-1)+4

convert the constant to a log with base e:

In(3x-1) + In(e^4)

Simplify the expression:

In((3x-1)e^4)

Remove the parentheses:

In(3xe^4 - e^4)

Hope it help !

What force must be applied to a truck of mass 300kg for it to accelerate at 5m/s2

Answers

Answer:

mass=300kg

acceleration=5m/S2

force=?

Now,

force= m×A

=300kg×5

=1500 Newton answers

Step-by-step explanation:

hop this may help you

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!

Answers

3. identity property of addition
7. associative property of addition
8. multiplicative property of zero

in math what does it mean for something to be “squared”
someone pls explain

Answers

Answer:

its an exponent of 2

Step-by-step explanation:

2

3. = 3 ×2 or 3+3

2/5% as a fraction




Pld

Answers

Hey there!

2/5%

= 2/5

= 2 ÷ 5

= 0.40

= 0.40 × 100

= 40%

Therefore, your answer is: 40%

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Sally saved 65% of her pay check. If she made $500, how much did she save?

Answers

Answer: 325 dollars

Step-by-step explanation:

In order to find out a percentage of somethin, you can simply multiply and divide

[tex]500*65=32500[/tex]

32500÷100= 325

please answer , thank you in advance to whoever does !!!!

Answers

It’s b, translated means moved. It is reflected and moved

Write as a single fraction in its simplest form.

Answers

[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]

Fred is 5 inches shorter than the quotient of Rick’s height and 4. let r represent Rick’s height. Write an expression that represents Fred’s height

Answers

Let r represent Rick’s height.Therefore, the quotient of Rick’s height and 4[tex] = \frac{r}{4} [/tex]Fred is 5 inches shorter than the quotient of Rick’s height and 4.Therefore, an expression that represents Fred’s height is [tex] \frac{r}{4} - 5 [/tex]

Answer:

[tex] \frac{r}{4} - 5[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

r represents height of RickQuotient of r and 4 means r is divided by 4

The expression till now

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}[/tex]

But we need the expression for five less than the quotient

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}-5[/tex]

Can someone please give me the (Answers) to this? ... please ...

Answers

Answer:

Step-by-step explanation:

does anyone know the account brookebyewater?

Answers

Yes it's an account of a person on brainly- they're rank is "expert".

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

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