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

Answers

Answer 1

9514 1404 393

Answer:

  (x^(1/2))^2 = x^(2/2) = x

Step-by-step explanation:

The square root of a number, when multiplied by itself, gives the original number.

  (√x)(√x) = x

The rule for exponents is that powers of the same base, when multiplied, will be the base to the sum of those powers.

  (a^b)(a^c) = a^(b+c)

Also, the first power of a number is that number itself.

__

  [tex]x^{\frac{1}{2}}\times x^{\frac{1}{2}}=x^{\frac{1}{2}+\frac{1}{2}}=x^1=x\\\\ \text{Compare to ...}\\\\ \sqrt{x}\times\sqrt{x}=x[/tex]

Answer 2

Answer:

Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.

Step-by-step explanation:

EDGE 2020-2021


Related Questions

Emergency plsssssssssssss answer this what is 0.43 rounded to the nearest hundredth

Answers

Answer:

0.430

Step-by-step explanation:

Here you go it is here now

Answers

Answer:

40+10=50

40+-15=25

40+-30=10

40+-40=0

40+-50=-10

20+-25=-5

Step-by-step explanation:

in this order

Answer:

40+10=50

40+-15=25

40+-30=10

40+-40=0

40+-50=-10

20+-25=-5

Step-by-step explanation:

the other guy had it right.

A point has
ono length
no width
no thickness
all of the above

Answers

A point has no length or thickness.

ALL OF THE ABOVE

Please help ASAP 25 pts + brainliest. please show work

Answers

Answer:

it's answer is C. .80

Step-by-step explanation:

With reference angle A

base (b) = 8

Hypotenuse (h) = 10

Now

Cosine A

= b / h

= 8 / 10

= 0.8

It is A as the answer

Step-by-step explanation:

1.multiply 8×10

2.multiply 80 ×6

3.the answer will be over 100 so it has to be A


Write the following equation symbolically.


One-sixth of the sum of x and 5 is 4 minus y.

Answers

I believe it is

[tex]\frac{1}{6}(x + 5) = 4 - y[/tex]

The answer is :
1/6(X+5)=4-Y

20 less than 5 times a number is 85. What is the number

Answers

Answer: I don’t understand the question??

Step-by-step explanation: Can you say the question again like the same way the homework does

please hurry!!!
For the class picnic, 25 liters of punch were purchased. 6 liters were left over. How many gallons of punch were used at the picnic? (1 liter is approximately 0.26 gallons)

Answers

Answer:

Gallons of punch used = 4.94 gallons

Step-by-step explanation:

Given that:

Liters of punch purchased = 25 liters

Liters of punch left over = 6 liters

Liters of punch used = 25 - 6 = 19 liters

According to the given statement;

1 liter = 0.26 gallons

19 liters = 0.26*19 gallons

19 liters = 4.94 gallons

Hence,

Gallons of punch used = 4.94 gallons

Need help ASAP will mark Brainly

Answers

The answer is going to be 115 degrees

Answer:

115°

Step-by-step explanation:

its in the middle of 60° and 70°

Find x and y HELP PLS ASAP

Answers

Step-by-step explanation:

A is the correct answer.

What is the value of the expression 9 x to the power of 2 minus 12 x plus 4 when x equal 3 ?
A.22
B.49
C.85
D.697

Answers

Answer:

22

Step-by-step explanation:

because it just is

Determine which, if any, of the given values is a solution.


8p − 16 = 40
p = 5; p = 7; p = 9

p = ?

Answers

Answer:

p – 7 = -12

The answer

P = 7

8p - 16 = 40

40 + 16 = 56

8p = 56

56 ÷ 8 = 7

In a random sample of 60 computers, the mean repair cost was $150. Assume the population standard deviation is $36. Construct a 95% confidence interval for the population mean.

Answers

Answer:

The 95% confidence interval for the population mean is between $140.89 and $159.11.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{36}{\sqrt{150}} = 9.11[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 150 - 9.11 = $140.89

The upper end of the interval is the sample mean added to M. So it is 150 + 9.11 = $159.11

The 95% confidence interval for the population mean is between $140.89 and $159.11.

What is the implicit premise in the following argument? Because it is hard to find four-leaf clovers, I will be lucky to find one.

Answers

Answer: Either it is not hard to find four leaf clovers, or i would be lucky to find one.

Step-by-step explanation:

An assumption is any assertion or concept that is taken to be true and on which an argument or argument may be based.

From the argument is centered on the probability of finding a four leaf clover.

It is an already established fact that four leaf clovers are rear to come by so it would require a lot of luck to actually find one.

what is another way to solve 8 × 6.98​

Answers

Answer:

8 × 6.98

Step-by-step explanation:

..............

The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?

Answers

Answer:

y=2x+0

Step-by-step explanation:

y=mx+b

y=(slope)x+(y-intercept)

y=2x+0

Answer:

y = 2x

Step-by-step explanation:

y = mx + b

m = slope

b = y intercept

y = 2x + 0

Therefore, the equation is y = 2x.

Bananas cost $3 a bunch and apples cost $0.50 each. If b represents the number of bunches of bananas and a represents the number of apples, which of the following expressions represents the total cost?

Answers

Answer:

it's 3a+.50b

Step-by-step explanation:

13/14% of a quantity is equal to what fraction of the quantity. simplify your answer

Answers

Answer:

=1

Step-by-step explanation:

multiply the numerator and denominator by common integer  

The total weight of 15 containers on a freight train is 330 tonnes. What is the mean weight of the containers?

Answers

Answer:

the mean weight is 22 tonnes

Step-by-step explanation:

mean=total sum/number of numbers you added

in this case the question already gave you the total so just divide right away

mean weight= 330/15 = 22 tonnes

10 points help asap hurry

Answers

Answer:

Betty is right???

Step-by-step explanation:

can sombody help me ill make you brainliest ​

Answers

Answer:

6^22

Step-by-step explanation:

15-(-7) = 22

6^22

Answer:

1679616

Step-by-step explanation:

paper costs $ 40 for 10 teams how much for 1 ream?​

Answers

Answer:

$4

Step-by-step explanation:

40/10 = 4

The nth term of a sequence is 3n^2/2

Answers

ANSWER: the 2nd term would be 18

3 x 2 = 6
6 x 6 = 36
36 divided by 2 = 18

HELP ASAPPPP!!! HAUSBJANAHSJISIS

Answers

1: 72
2: 32
3: 1/2

I think this is it

Alan buys a book that is on sale.

He writes the expression 0.7b to show the percent of the original cost of the book, b, that he pays.
He rewrites the expression as b−0.3b.
Which statement explains why Alan rewrites the expression?




He receives another discount on the book.


He buys another book with a different discount.


He wants to show by what percent the book was discounted.


He wants to show what percent of the original price he paid.

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

is the relationship linear, exponential, or neither?

Answers

i’m pretty sure it’s linear, both sides go up at the same constant rate, x is going up 4 each time and y is going up 6

Your answer is linear.

helpp
please i rlly need thiss

Answers

Answer:

16

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

4 to the second power is 4x4 and 4x4 is 16.

The circumference of a circle is 6π ft. What is the area, in square feet? Express your answer in terms of
π

Please help

Answers

Answer:

Circumference of the circle 2π(radius)=6π ft

Therefore, radius=3 ft

Area=π(radius)²=π×3²=9π ft²

9π ft² is the right answer.

The area of circle is 9π square feet.

What is area?

Area is the amount of area occupied by an object's flat (2-D) surface or shape.

The circumference of circle = 2πr

6 = 2πr

r = 3π

And the area of circle is πr².

The area of the circle = 9π

Therefore, the area of the circle is 9π square feet.

To learn more about the area;

https://brainly.com/question/27683633

#SPJ5

What is [tex]12\sqrt1248[/tex]

Answers

Step-by-step explanation:

[tex] \sqrt[12]{1248} = 1.811414676[/tex]

-11x - 7y=-56 what is the slope and y intercept

Answers

Answer:

49/11 I think I'm not sure

Simplify (-32) ÷ (-4)

Answers

[tex]\bold{Hey\ there!}[/tex]

[tex]\bold{Guide\downarrow}[/tex]

[tex]\bold{Negative}[/tex] & [tex]\bold{Negative}[/tex] =[tex]\bold{Positive}[/tex]

[tex]\bold{Positive}[/tex] & [tex]\bold{Negative}[/tex] = [tex]\bold{Negative}[/tex]

[tex]\bold{Positive}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Positive}[/tex]

[tex]\bold{Negative}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Negative}[/tex]

[tex]\bold{(-32)\div(-4)}[/tex]

[tex]\bold{=32\div4}[/tex]

[tex]\bold{=8}[/tex]

[tex]\boxed{\boxed{\bold{Answer: 8}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

4

Step-by-step explanation:

Since both of these numbers are negative, it means that the answer will be negative, since 2 negatives make a positive, since now you know that, you can easily do 32/8 which is 4.

-32/ -8 = 4

Check....

-8 * 4 = -32

-32 / 4 = -8

When there is a negative number and a positive number being multiplied or divided by, it will always result in a negative number.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

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