What is the square root of 10p^3

Answers

Answer 1

Answer:

Factor 10 into its prime factors

          10 = 2 • 5  

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified

At the end of this step the partly simplified SQRT looks like this:

        sqrt (10p3)  

STEP

2

:

Simplify the Variable part of the SQRT

Rules for simplifing variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

     (3.1) sqrt(x8)=x4

    (3.2) sqrt(x-6)=x-3

   (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     (4.1) sqrt(x5)=x2•sqrt(x)

    (4.2) sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

     SQRT(p3) = p • SQRT(p)  

Combine both simplifications

        sqrt (10p3) =

       p • sqrt(10p)  

Simplified Root :

p • sqrt(10p)


Related Questions

If a = 2 b=-3 then find the value of 2a - 4b?

Answers

Given:

a=2b=-3

Question:

2a - 4b

Step by step explanation:

Step 1:

2×2-4×(-3)

Step 2:

4-4(-3)

Step 3:

4+12

Step 4:

16

So 16 is correct answer

hope it helped you :)

Answer

16

Step-by-step explanation:

2×2-4×-3=

4+12=

16

Choose all the number sentences that have a sum less than 345,195: A) 189,753 + 155,655 B) 324,675 + 19,285 C) 185,476 + 155,923 D) 97,560 + 246,894 E) 313,489 + 32,450

Answers

Answer:

C, D

Step-by-step explanation:

Calculate the sum of all.

C and D have less then 345,195.

That is the answer.

The expression that has a sum of less than 345,195 are B, C, and D.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

To calculate the number of sentences that have a sum of less than 345,195. The expression is needed to be simplified as shown below.

A) 189,753 + 155,655 = 345,408

B) 324,675 + 19,285 = 343,960

C) 185,476 + 155,923 = 341,399

D) 97,560 + 246,894 = 344,454

E) 313,489 + 32,450 = 345,939

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ2

0= -5/4(x - 6/5) find the solution to x

Answers

Answer:

x = 6/5

Step-by-step explanation:

Solve for x:

0 = (-5 (x - 6/5))/4

Hint: | Put the fractions in x - 6/5 over a common denominator.

Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x)/5 - 6/5:

0 = (-5)/4 (5 x)/5 - 6/5

Hint: | Combine (5 x)/5 - 6/5 into a single fraction.

(5 x)/5 - 6/5 = (5 x - 6)/5:

0 = (-5)/4 (5 x - 6)/5

Hint: | In (-5 (5 x - 6))/(5×4), divide -5 in the numerator by 5 in the denominator.

(-5)/5 = (5 (-1))/5 = -1:

0 = (-1 (5 x - 6))/4

Hint: | Reverse the equality in 0 = (-(5 x - 6))/4 in order to isolate x to the left hand side.

0 = (-(5 x - 6))/4 is equivalent to (-(5 x - 6))/4 = 0:

(-(5 x - 6))/4 = 0

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (-(5 x - 6))/4 = 0 by -4:

(-4 (-(5 x - 6)))/4 = -4×0

Hint: | In (-4 (-(5 x - 6)))/4, divide -4 in the numerator by 4 in the denominator.

(-4)/4 = (4 (-1))/4 = -1:

--1 (5 x - 6) = -4×0

Hint: | Multiply all instances of -1 in -(-(5 x - 6)).

(-1)^2 = 1:

5 x - 6 = -4×0

Hint: | Any number times zero is zero.

0 (-4) = 0:

5 x - 6 = 0

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

5 x + (6 - 6) = 6

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

5 x = 6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 5 x = 6 by 5:

(5 x)/5 = 6/5

Hint: | Any nonzero number divided by itself is one.

5/5 = 1:

Answer: x = 6/5

A boy flying a kite lets out 300 feet of string. The height of the kite is 185 feet. What is the angle
formed between the string and the ground?

Answers

Answer:

The string, the height and the ground form a right triangle

The hypotenuse = 300

height =185 = opposite side

sine of the angle = 185 / 300 = 0.6166666667

arc sine (.616666666666) =

38.073 degrees

Step-by-step explanation:

4(x-6)=-4 I'll give you brainly​

Answers

Answer: X = 5

Step-by-step explanation:

solve by multiplying the inside ( )

4x -24 = -4

add 24 to both sides

4x = 20

divide by 4

x = 5

How do you solve this math problem?

5 = 12 + 4

Answers

It’s called a “false equation” bc their is no way to solve it. 16 does NOT equal 5.
you add 12 to 4 to get 16 and then you discover that this is not an equation because the left and right side of the equals sign are not the same

Henry purchased compact dkks for $112. The compact discs cost $16 each.
Which of the following equations could you use to find how many compact dises, Henry pureme
412 -
2012 - 316
$16 = $112*
$112x316

Answers

Answer: B. $112 = $16 x

Hope this helps!

pls help me i dont understand.

Answers

Answer:

- 2.2× (-2) ÷ (-1/4)×5

- 2.2× (-2) × (-4) ×5

4.4 × (-20)

-88

Step-by-step explanation:

Answer:

Step-by-step explanation:

For fraction division, multiply with the reciprocal of the fraction.

Reciprocal of (-1/4) = -4/1

-22 * (=2) ÷  (-1/4) * 5 = [tex]-22 * (-2) * \frac{-4}{1}*5\\[/tex]

                                   [tex]= -22 * (-2) * (-4) * 5\\\\= - 880[/tex]

y varies directly with x, and y=24 when x=-15. what is x when y=16? a) 10 b) -22.5 c) -10 d) -25.6

Answers

Answer:

c

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 24 when x = - 15, then

24 = - 15k ( divide both sides by - 15 )

k = [tex]\frac{24}{-15}[/tex] = - [tex]\frac{8}{5}[/tex] = - 1.6 , thus

y = - 1.6x ← equation of variation

When y = 16, then

16 = - 1.6x ( divide both sides by - 1.6 )

x = - 10 → c

Professor Slughorn has created and sold three different magical potions where if a person drinks them, he or she magically can fly, breathe underwater, or read minds. He sold ten more flying potions than mind reading potions. The number of breathing underwater potions he counted was two more than three times the number of mind reading potions. If he sold a total number of 102 potions, how many were for breathing underwater?

Answers

Answer:

56 underwater breathing potions

Explanation:

Create variables to represent the different potions

-  flying = f   underwater breathing = b   mind reading = m

Make equations to represent all of the information you've been given.

- The number of flying potions is ten more than the number of mind reading potions. f = r + 10

- The number of water breathing potions is two more than three times the number of mind reading potions. b = 3r + 2

- The total number of potions is 102. f+b+r = 102

Substitute the variable in your equation for the total number of potions.

102 = (r +10) + (3r + 2) + r = 102

Combine like terms.

102 = 5r + 12

Solve for r.

90 = 5r

18 = r

You have to find the number of underwater breathing potions, b. Go back the equation for b and substitute 18 for r.

b = 3r + 2

b = 3(18) + 2

b = 56

So, your total number of underwater breathing potions is 56.

You want to leave a nice tip on a $36 meal. So you decide to add 20% to the bill. How much is the total bill?

Answers

Answer:

43.20

Step-by-step explanation:

First find the tip

36 * 20 %

36 * .2

7.20

Then add the tip to the amount of the meal

36+7.20

43.20

You went to have a meal which costs $36, and maybe becoming very delighted with the taste and service of the food centre, you decided to add a tip.

[tex]20\%[/tex] of the total meal.

So, First we need to find the tip by multiplying the percentage with the cost of meal

Tip:

[tex]20\% \: of \: 36[/tex]

[tex] \frac{20}{100} \times 36[/tex]

[tex] \frac{1}{5} \times 36[/tex]

[tex]7.2[/tex]

Now, we have got the amount of money we decided to give as a tip. And, we are already having the cost of meal. So, total money paid:

[tex]36 + 7.2[/tex]

[tex] \boxed{ 43.2}[/tex]

This is our required answer.

#CarryOnLearning

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On Gabriela's first birthday, her parents gave her a $50 savings account on every birthday after that her parents added to the account,
increasing the amount they deposited by $25 each year. Complete the recursive definition for the sequence that represents this situation by
finding the values for a, and d.

Answers

Initial amount , a = $50 .

Increase in price , d = $25 .

We need to find the recursive relation of the sequence .

If we notice it is an arithmetic progression with common difference $25 .

Which means that difference between any two consecutive term is 25 .

So , T(n) - T(n-1) = 25

T(n) = T(n-1) + 25 .

Hence , this is the required solution .

3/4 of a cup of pasta sauce for every 12 ounces whats the unit rate

Answers

Answer:

the unit rate is 1/4 every 4 ounces

Step-by-step explanation:

12/3=4          3/3=1 so 1/4 of a cup every 4 ounces.

Tom has a cube a rectangular prism. Triangular prism Which of his shapes have more than six vehicles

Answers

Show a picture of the question

Rewrite in simplest radical form! Show your work.

Answers

[tex]x^{\frac{1}{\frac{-3}{6} }}[/tex]

First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.

[tex]x^{\frac{6}{-3} }[/tex]

Now that the fraction in the denominator is taken care of, we can reduce the denominator.

[tex]x^{-2}[/tex]. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.

[tex]x^{-2} = \frac{1}{x^{2} }[/tex]

Answer:

*i forgot what a radical is but* your answer is -2

Step-by-step explanation:

there is something called

REDUCE COMPOUND FRACTIONS

basically it's

 [tex]m/f/t[/tex]

so

[tex]1/-3/6\\[/tex]

is gonna be

[tex]1*6/-3[/tex]

which is -2

Jan completes 50 trials of pulling colored socks out of a box. She pulled green 10
times. If there are 40 socks in the box, how many of them are probably green? *

Answers

Answer:12

Step-by-step explanation:

A community is planning to build a rectangular garden. The width of the garden is 17 /4 feet (ft), and the perimeter of the garden is 24.5 ft. The community planners want to spread mulch on the entire garden. How many square feet of mulch will be needed?

Answers

Answer:

34 square feet

Step-by-step explanation:

First, you need to find the other side of the garden in order to find the area a=l*w

The formula to find the length is, p-w*2=x x÷2=l

because, perimeter is l+l+w+w and area is just l*w

4.25*2=8.50

24.50-8.50=16

16÷2=8

l=8

So now we need to multiply the length and width to get the area.

8*4.25=34 sq. ft.

I hope that helps!

PLEASE HELP THIS IS THE LAST QUESTION AND I WANT TO GO TO BED. PLEASE EXPLAIN SO I CAN DO IT FOR NEXT TIME AS WELL

Answers

15+70+45=130 :)) that’s how u calculate the perimeter just add them all together.

Find the difference
16-(-4)
i need help ASAP

Answers

the answer is 20!
you need to change the subtraction sign to an addition sign and change -4 to a 4. then, solve!
hope this helps!!

An expression is given: 2 open parentheses square root of k minus 1 close parenthesis plus square root of 8. If on adding negative 6 square root of 2to the expression results in a rational number, what is the value of k?

Answers

Answer:

Possible value of k is √2

Step-by-step explanation:

The information given are;

The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;

2·(√k - 1) + √8 - 6·√2 = R

Therefore, simplifying gives;

2·√k - 2 + 2·√2  - 6·√2 =  2·√k - 2 - 4·√2 = R

2·√k - 2 - 4·√2 + 2= R + 2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R

(√k - 2·√2) = R/2 = R

Therefore, √2 is a factor of √k such that √k - 2·√2 = R

Which gives k = x·√2, where x = a rational number

When x = 1, k = √2.

Therefore, a possible value of k is √2

What is the slope for this?

Answers

Answer:

1/2

Step-by-step explanation:

(-4--2)/(3-7)=-2/-4=1/2

Answer:

b. 1/2

Step-by-step explanation:

Points: (7, -2), (3, -4)

slope = (y2 - y1)/(x2 - x1)

slope = (-4 - (-2))/(3 - 7) = (-4 + 2)/(-4) = -2/(-4) = 1/2

Brad drives 527 miles on 17 gallons. How many miles does Brad drive on one gallon? (5 points + Brainiest!)

a
31 miles per gallon
b
527 miles per 17 gallons
c
5.27 miles per gallon
d
1 over 31 miles per gallon

Answers

Answer:

d

Step-by-step explanation:

527 / 17 = 31

If mTUV = 9x + 1, and mTUW = 7x - 9, and mWUV = (5x-11), find the value of x

Answers

Answer:

  x = 7

Step-by-step explanation:

We can't tell the order of angles here, so we'll assume that ...

  m∠TUV = m∠TUW +m∠WUV

  (9x+1) = (7x-9) +(5x-11)

  9x +1 = 12x -20

  21 = 3x

  7 = x

202·87–100·87–2·87=

Answers

Step-by-step explanation:

202·87–100·87–2·87

=99.13

Answer:

8700

Step-by-step explanation:

If you want it evaluated, this is the answer. 202 ·87-100·87-2·87= 17574-100·87-2·87=17574-8700-2·87=17574-8700-174= 8700

Indentify the segment bisector of RS

Answers

Answer: line k is the segment bisector and the distance between RS is 34

Can you help please
Expand each expression and combine like terms if possible
2/3 (x+ 18 - 2x)​

Answers

Answer:

This is the expression expanded

Step-by-step explanation:

The answer is -2/3x + 12.

First, you collect like terms. This would make the expression 2/3 * (-x + 18)

Then, remove the brackets, making the expression and the final answer -2/3x + 12

Graph the solution on the number line 3x + 3) - 244 or 1-**-1
I need answer

Answers

Okay so 3x + 3 - 244 = -238 so I think you would put -238 on the number line and then fill in the line to the negative spot I hope that helps

Calculating overtime pay

Answers

Answer:

Hourly pay rate x 1.5 x hours worked overtime.

Step-by-step explanation:

For example, if you had an hourly wage of $10, you would first:

Start with the $10 owed. Then:

Multiply your hourly pay by 1.5 to get $15.

Lastly, multiply this number by how many hours you worked overtime. Let's say you work 5 hours overtime. Multiply the $15 by the 5 hours worked overtime, and you should get $75.

An equation to help you solve this could look something like this:

Y*1.5*O=T, where the variable "Y" is hours works, the variable "O" is the hours worked overtime, and the variable "T" is the total amount of money earned for working overtime.

Need some help on this

Answers

I believe you would subtract 64 from 180 (since it’s the measurement of the straight line) that would leave you with 116. From there you would divide that by 2 since it’s split in 1/2 which would leave you with 58. Therefore, the answer is x=58

What is the image of (-7, -9) after a reflection over the x-axis?

Answers

Answer:

(-7,9)

Step-by-step explanation:

When you flip over the x-axis, the y-value changes its sign. Vice versa.

[tex]\huge\boxed{\boxed{\bold{(-7, 9)}}}[/tex]

[tex]\hrulefill[/tex]

To reflect a point across the [tex]x[/tex]-axis, multiply or divide its [tex]y[/tex] coordinate by [tex]-1[/tex]:

[tex]P'=(-7, -9*-1)[/tex]

Multiply:

[tex]P'=\large\boxed{(-7, 9)}[/tex]

An image is attached showing the original point ([tex]P[/tex]) and its image ([tex]P'[/tex]).

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