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:

This is essentially a rule in the unit of radicals, where n✔️X^m = X^m/n. If the value of m is equal to n, as in 2✔️3^2 it would simply be 3^2/2 which is nothing but 3^1 = 3. Basically, the m value can be greater than n and or less than n, but if it is equal the m and n values cancel out. Hope this helped <3


Related Questions

Factorise 9a³ - 27a² - 100a + 300, if it is given that (3a + 10) is a factor of it.​

Answers

Answer:

(3a + 10)(3a - 10(a - 3).

Step-by-step explanation:

Do a long division:

3a + 10 ) 9a^3 - 27a^2 - 100a + 300 ( 3a^2 - 19a + 30 <----- Quotient

              9a^3 + 30a^2

                        -57a^2 - 100a

                        -57a^2 - 190a

                                       90a + 300

                                       90a + 300

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

Factorise the Quotient:

3a^2 - 19a + 30

= 3a^2 - 9a - 10a + 30

= 3a(a - 3) - 10(a - 3)

= (3a - 10)(a - 3)

9th grade math please help will give brainliest !!!

Answers

Answer:

48 g - 40 h + 64

Step-by-step explanation:

you take the 8 and multiply it by the numbers that are in the paraentheses. keep the variables the same

Last week the number of bacteria in a petri dish was 2.25×
×
102
10
2
. This week the number of bacteria in the petri dish is 2.75×
×
105
10
5
. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.

Answers

Answer:

1221.2 factor increase

Step-by-step explanation:

It is difficult interpreting the numbers.  I'll assume:

2.25x10^2 and 2.75x10^5

----

225

275000

The difference(increase) is 274775, or 2.75 x 10^5 to 3 sig figs

There is a (2.75 x 10^5)/(2.25x10^2) or 1221.2 factor increase in bacteria between the two weeks.

Which statement is true about the function f(x)=(1/3)^x and g(x)=3^-x?
a. The function have the same graph
b. The graph of the function is not the same
c. The graph of the function is not exponential

Answers

the answer should be B

I really need help, this is probability and statistics, if anyone else is taking this class, please help, it is a unit test study guide.

Answers

Answer:

id like to help but the picture is really blurry so im afraid that i cant. but i know there are others who can!

Step-by-step explanation:

i hope this helps you!

I can't see the picture good

what is the slope of the line ?

Answers

Answer:

The slope is 3/4 or 0.75.

Step-by-step explanation:

Let's take two points on a line. (-3,2) and (1,-1).

Now, determine the rise and run.

Rise: 3 Run: 4

Slope = Rise/Run

=> 3/4

Conclusion:

Therefore, the slope is 3/4 or 0.75.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

g(x) = 3x + 1; Find g(7)

Answers

g(7)=3(7)+1
g(7)=21+1
g(7)=22

Solve the system of inequalities by graphing.
12x+6y≥15
2x-4y>8

Answers

Answer:

?

Step-by-step explanation:

A scientist evaluated the local deer population. The scientist found that there were 100 deer in all, 15% of which were juveniles. How many juveniles were there in the local deer population?

Answers

Answer:

this is easy 100% in this case equals 100 so 15 Juveniles equals 15%

Step-by-step explanation:

simplify the radical 99

Answers

Step-by-step explanation:

The square root of 99 is 99½ in the exponential form and 3√11 in its simplest radical form.

Please help worth 20 points

Answers

Answer:

Try going on D.e.s.m.o.s.c.o.m it worked for me when I  had something like this

Step-by-step explanation:

GURL POWER

Find the equation of the line perpendicular to y=(1/2)x+3, that passes through the point (2,-1).

Answers

Answer:

i believe that the answer is y= -1/2 +3.

write an expression describing all the angles that are coterminal with 266°

Answers

Answer:

-814°, -454°, -94°, 266°, 626°. Did you mean like that?


In a scale drawing, 3 millimeters represents 17 meters. Exactly how many millimeters represents 55 meters?

Answers

Answer:

See image

Step-by-step explanation:

Compare "like" values to write a proportion (two fractions or ratios set equal to each other) Then you can cross multiply to solve the equation for x

explain how 984/616=123/77

Answers

They are equal because you can multiply the numerator and denominator of 123/77 by 8
And you get
984/616

Hope this helps!
Brainliest is much appreciated!

Answer:

984/616 is equal to 123/77 because it is simplified, also meaning reduced by finding the GCF (greatest common factor), which in this case is 8. So therefore, when you divide the numerator of 984 by 8, you get 123, and when you divide the denominator of 616 by 8 as well, you will get 77.

The railroad company wants to sell $8,134 in tickets. If each ticket costs $7, how many
tickets will the railroad have to sell to meet its goal?

Answers

Answer:

1162 tickets will need to be sold

Step-by-step explanation:

8134 / 7 = 1,162

Which table is y a function of x?

Answers

Answer:

The first chart

Step-by-step explanation:

Line c passes through points (9, 10) and (1, 3). Line d is perpendicular to c. What is the slope
of line d?

Answers

Answer:

-8/7

Step-by-step explanation:

First, find the slope of line c.

(x1, y1) = (9, 10)

(x2, y2) = (1, 3)

The slope formula is:

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

Solve for the slope using the given values:

[tex]m=\frac{3-10}{1-9}\\\\m=\frac{-7}{-8}\\\\m=\frac{7}{8}[/tex]

The slope of line c is 7/8. To find the slope perpendicular to it, you need to find the negative reciprocal of that number. An example of that would be 2 and -1/2. Basically, flip the fraction and the +/-.

In this case, the negative reciprocal of 7/8 is -8/7. The image below doesn't account for the y-intercept, but it does show that the slopes are perpendicular.

Answer:

slope = - [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

Calculate the slope m of line c using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 10 ) and (x₂, y₂ ) = (1, 3 )

m = [tex]\frac{3-10}{1-9}[/tex] = [tex]\frac{-7}{-8}[/tex] = [tex]\frac{7}{8}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{7}{8} }[/tex] = - [tex]\frac{8}{7}[/tex] ← slope of line d

List the ordered pairs

Here are the choices

Answers

It's the third option

Juan has 20 books to sell. He sells the books for $15 each.

The amount of money Juan makes from selling x books is represented by the equation y=15x
y
=
15
x



What is the theoretical range of the equation?

Question 2 options:

All multiples of 20 between 0 and 300, inclusive


All integers from 0 to 20, inclusive


All multiples of 15 between 0 and 300, inclusive


All real numbers

Answers

Answer:

Well u would multiply 20 x 15 to find out the highest if the range which is 300 . So that knocks it down to B or D. But since they're $15 each, It would be based of the multiples of 15 making your answer B .

The range is all the y values.....or the f(x) values .

So the practical range would be the multiples of 15 between 0 and 300,Inclusive .

Hope this helps you!!

Which is NOT a line of symmetry?
1
2
3
4
5

Answers

Answer:

where's the line?

Step-by-step explanation:

add a line next time

Find e and d
3e+d=8
2e+d=8​

Answers

Answer:

Step-by-step explanation:

3e+d=8
2e+d=8
Multiply the second equation by -1
You get
-3e-d=-8
Use eliminating methods
-3e-d=-8
2e+d=8
We get
-e=0
So e=0
Find e by substitute it in one of the equation
2*0+d=8
D
d=8


Write the algebraic expression to represent the following:
'Twenty more than twice a number .'

Answers

Answer:

2x + 20

Step-by-step explanation:

20 + 2x

Hello, Can you please take a look at this screenshot I have below, This problem is confusing :/

Answers

Answer:

See answers below.

Step-by-step explanation:

m ∠A + m ∠B + m ∠C = 180°          The sum of the angles in a triangle = 180

28°  +   x - 4   + 2x  = 180°              Substitution

x =  52°                                            Algebra

28°  +  x - 4  + 2x  = 180°

    24° + 3x = 180°

     3x = 156°

      x = 156/3

       x = 52°

Check:   28° + 48 + 104°  = 180√

Mariah made a down payment on a van. Which of the following is true because of the down payment?
A. She has additional time to repay the loan.
B. Her credit limit will increase
C. She has some equity or ownership right away.
D. Her insurance will decrease.

Answers

The answer should be C. :)

Answer:

Option C. She has some equity or ownership right away.

Step-by-step explanation:

I did the Exam too. And got it right. Hope this helped.

Which object has the most kinetic energy?


A. A motorcycle traveling 26 km/h


B. A car traveling 25 km/h


C. A bicycle traveling 18 km/h


O D. A dump truck waiting at a stoplight

Answers

Answer: The answer is B, a car traveling 25 km/h.

What is 1+1 because it's obvious that it's 3!!! Duh!!! So hehe

Answers

Answer:

IT'S TWOOOOOOOOOOOOOOOO 222222222222222

Sally is making 15 individual blueberry cheesecakes. How many pounds of blueberries will be in each cheesecake if 514 pounds of blueberries are divided equally among them?

Answers

Answer:

About 35 or 34.27 if you round to the tenths spot.

Step-by-step explanation:

514 divided by 15 is 34.27 once rounded.

Jackson’s rectangular bedroom has an area of 90 square feet. The area of his bedroom is 9 times that of his rectangular closet. If the closet is 2 feet wide. What is it’s length?

Answers

Answer:

Im pretty sure the answer is 5.

Step-by-step explanation:

Find the domain of the expression.

the square root of x+5

Answers

See attachment for answer and math work.

Answer:

Step-by-step explanation:

"Domain" means what numbers are allowed to be x (or on a graph, for what x's does the graph exist)

Since inside a square root you have to have a positive number (actually, just not a negative number). So all the positive numbers work (any positive+5 is a positive number) BUT ALSO x can be 0, BUT ALSO, x can be as small as -5 and still the value inside the square root will not be negative

SO THIS MEANS all the x's we're allowed to use (that's the DOMAIN) are everything from -5 and bigger. In math we write that as x>= -5

There are two other main ways to write it: [-5, infinity symbol) OR {x|x>=-5} these all mean the same thing.

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