How would I simplify radical expressions?

How Would I Simplify Radical Expressions?

Answers

Answer 1

[tex]\sqrt{36x^8y^4}\\\\=\left(6^2 x^8 y^4\right)^{\tfrac 12}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12} \right]\\\\=\left(6^2\right)^{\tfrac 12} \cdot \left(x^8\right)^{\tfrac 12} \cdot \left(y^4\right)^{\tfrac 12}\\\\=6^{\tfrac 22} \cdot x^{\tfrac 82} \cdot y^{\tfrac 42}\\\\=6 x^4 y^2[/tex]


Related Questions

Angelo has to pack 7 books in boxes he can pack 7 books in each box how many boxes are need to pack all the books

Answers

1 box?

I'm confused whether you made a mistake writing the question or of this is what the actual question is like.

During crawfish season, Xavier sells crawfish for $62. 50 per sack and charges a $20. 00 delivery fee. Write an equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer.

Answers

The equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x

Given:

cost per sack of crayfish = $62. 50

Delivery fee = $20. 00

y = Total cost

x = sacks of crawfish

The equation:

Total cost = Delivery fee + cost per sack of crayfish(sacks of crawfish)

y = 20 + 62.50x

Therefore, the equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x

Learn more about equation:

https://brainly.com/question/4916384

hat equation represents this sentence?


7 less than a number is 16.



7−n=16


n−7=16


7=16−n

like you cut g

7=n−16

Answers

Answer:

2nd option

Step-by-step explanation:

let the number be n then 7 less than this number is n - 7 , so

n - 7 = 16

Graph the solution to this system of linear inequalities, and describe the meaning of the intersection of all 3 inequalities. HELP ASAP PLEASE!!!​

Answers

Answer:

Step-by-step explanation:

Coordinates ( x, y ) from "red area" satisfy all three inequality.

Alex is feeling stressed this morning. He did not get enough sleep because a dog barked most of the night. The dog barked from 11;41p.m. until 12:09 a.m.Then it started barking again at 3:35 a.m. and didn’t stop until 4:10 a.m.How long did the dog bark in all?

Answers

Answer:

Poor Alex, I know how they feel, I got a dog myself.

The amount of time between

11:41 pm to 12:09 am is

19 minutes (to 12 am, 60 minutes to next hour) + 9

which is 28 minutes for the first dog barking session

the second time is 35 minutes,

using same method as before.

adding the two separte barking sessions we get

35+28= 63 minutes

which is equivelant to 1 hour and 3 minutes.

In conclusion the dog barks for 1 hour and 3 minutes in total.

Plz, Help Me!!!
Which graph represents the equation (x + 4)^2 + (y + 5)^2 = 36?

Answers

Answer:

d

Step-by-step explanation:

the center of the circle is at (-4. -5) with a radius of 6

Lena was playing a card game. She placed the cards in 2 rows of 26 cards each. In which other way can Lena place all of the cards?

Answers

Answer:

4 raws of 13 each

Step-by-step explanation:

The total number of cards =2×26=52we can divide 52 by 4 which is 13

can anyone help me plz

Answers

Answer:

x = 24

Step-by-step explanation:

x/4 + 10 =16

      -10    -10

x/4 = 6

*4     *4

x=24

hope this helps! :)

Which system of equations is equivalent to the following system? (5 points) 2x + 4y = 14 4x + y = 20

a.2x + 4y = 14
−16x − 4y = −80

b.2x + 4y = 14
−4x + y = −20

c.4x + 8y = −28
4x + y = 20

d.−2x − 4y = 14
4x + y = 20

Answers

Answer:

a.

Step-by-step explanation:

4x+y=20 multiplied by (-4) gives you -16x-4y=-80

Help me please with this!…………………

Answers

Answer:

x = 2

Step-by-step explanation:

The two angles are congruent because they are alternative interior angles.

9x + 4 = 3x + 16

9x - 3x + 4 = 3x - 3x + 16

6x + 4 = 16

6x + 4 - 4 = 16 - 4

6x = 12

x = 2

The volleyball team is having a carwash fundraiser. The cost of each car wash is $5. They sold some season ticket packages, which brought in $1640. The goal of the team is to make at least $2000 from the combined totals of the two fund-raisers. How many cars must they wash in order to meet the team goal of $2000?

Answers

Answer:

They need to wash 72 cars

Step-by-step explanation:

2000 - 1640 = 360

360/5 = 72

Which of the following ordered pairs is the solution to the following system of equations?
X + y = 11
x - 4y = -14
(5,6)
(5-6)
(6,5)
(6,-5)

Answers

(6,5)
To cancel a term from both equations you have to multiple the top one by 4 so
4x + 4y = 44
x - 4y = -14
cancel out the y’s from both equations and add the terms from both so you’ll have
5x = 30
divide by 5
x = 6

substitute 6 for x in the first equation
6+y=11
subtract 6 from both sides
y = 5

please please help!! it’s geometry and im struggling really badly

Answers

Answer:

10. SAS

11. SAS

12. SAS

13. SSS

14. SSS

15.ASA

Step-by-step explanation:

13: SSS 14 : SSS 15:ASA

The African elephant can weigh eight tons. A ton is two thousand
pounds. How many pounds can an African elephant weigh?

Answers

If
1 ton = 2,000 points

8 tons = (2,000) 8 pounds

= 16,000 pounds

Hope you find this helpful!
Brainliest and a like is much appreciated!

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Answers

Answer:

y = 3x

Step-by-step explanation:

Let's select two points from the given graph.

(1,3) (3,9)

Now, let's use slope formula to find the slope.

m = y2-y1/x2-x1

= 9-3/3-1

= 6/2

= 3

Let's substitute/plug this value into the slope-intercept form.

y = 3x + b

We can see that the y-intercept is 0, from the graph.

b = 0

Therefore,

y = 3x

Solve for x
1. x + 4x = 90

Answers

Answer:

First, you combine like terms.

Then, you divide both sides of the equation by the same term.

Next, you simplify.

Lastly, you have your solution, which is x= 18

Step-by-step explanation:

Hope this helps!

you travel 90 miles in 1.5 hours. find the speed you travel.​

Answers

Answer:

60 mph

Step-by-step explanation:

Translate math sentence in solution.
1.Nine more than a number.
2.One half multiplied by a number.
3.Three more than half of a number.
4. A number increased by seven.
5.Quotient of a number and two tenths.
6.Product of four and a number.
7.Two cubed divided by a number.
8.Difference of ten and a number.
9.Five squared minus a number.
10.Twenty-nine decreased by a number.

Answers

Answer:

[tex]x + 9[/tex]

[tex] \frac{1}{2} \times x[/tex]

[tex]0.5x + 3[/tex]

[tex]x + 7[/tex]

[tex]0.2x[/tex]

[tex]4x[/tex]

[tex] {2}^{3} \div x[/tex]

[tex]10 - x[/tex]

[tex] {5}^{2} - x[/tex]

[tex]29 - x[/tex]

1) n+9
2) 1/2n
3) 1/2n+3
4) n+7
5) n/2/10
6) 4n
7) 2^2/n
8) 10-n
9) 5^2-n
10) 29-n

Write a compound inequality that the graph could represent.

Answers

Answer:

k < -4 or k > 13

Step-by-step explanation:

Let's take a look at the graph, we can see that the arrows point towards both directions, both dots are open, meaning that we can only have < and > signs. We can see that the arrow pointing to the left contains numbers that are less than -4, so that part of the compound inequality must be k < -4. And on the other side, they are numbers that are greater than 13, so that part must be k > 13. Thus, the answer must be d.

Hopes this helps.

A project will take 720 person-days to complete. How many days will it take to complete the project if 5 people work on it?

Answers

720/5= 144, it will take 144 days for 5 people to finish the project.

What is the end behavior of the function shown in the graph above?
A
As x approaches 0, y approaches 15.
As x approaches 25, y approaches 0.

B
As x approaches∞, y approaches 0.
As x approaches −∞, y approaches ∞.

C
As x approaches 0, y approaches ∞.
As x approaches ∞, y approaches −∞.

D
As x approaches ∞, y approaches 0.
As x approaches ∞, y approaches ∞.

Answers

Answer:

B

Step-by-step explanation:

Shirt Circuit Graphic Tees has fixed expenses of $25,560 for the production of their
t-shirts. They have a variable expense of $4.50 for each t-shirt that they
produce, and they sell their t-shirts for $22.50 each.
How many t-shirts does Shirt Circuit Graphic Tees have to sell to reach their
breakeven point?

Answers

Answer:

Step-by-step explanation:

Cost price = fixed expenses + variable expenses× number of products (x)

Selling price = total cost price + profit

At break even point,

Profit = 0

Therefore, total selling price = total cost price

X(22.50)= 25560 + x(4.50)

(22.50 - 4.50)x = 25560

18x= 25560

X = 1420

Which is the best estimate of StartRoot 0. 96 EndRoot to the nearest hundredth? 0. 96 0. 97 0. 98 1. 0.

Answers

The best estimate for [tex]\sqrt{0.96}[/tex] is 0.98. The correct option is C. 0.98.

Given expression is [tex]\sqrt{0.96}[/tex].

We have to estimate the nearest hundredth value of [tex]\sqrt{0.96}[/tex].

Now we have to first calculate the square root of 0.96 after that we can estimate the nearest hundredth value of it.

For calculating the square root of 0.96 we have various method, but here we use the 'Babylonian Method' to get the square root of any positive number.

We must set an error for the final result.

Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.

Babylonian MethodStep 1:

Divide the number (0.96) by 2 to get the first guess for the square root . First guess will be [tex]\frac{0.96}{2} =0.48[/tex]

Step 2:

Divide 0.96 by the previous result, [tex]\frac{0.96}{0.48} = 2.[/tex]

Average the value of step 2) with that of step 1:

[tex]\frac{0+0.48}{2} = 1.24[/tex] (new guess).

Now,

[tex]error= new\ guess-previous \ value[/tex]

[tex]error= 1.24-0.48\\error=0.76[/tex]

0.76 &gt; 0.01.

As error &gt; accuracy, we repeat this step again.

Step 3:

Divide 0.96 by the previous result.

[tex]\frac{0.96}{1.24} =0.7741935484[/tex]

Average the above value with that of step 2:

[tex]\frac{(0.7741935484 + 1.24)}{2} = 1.0070967742\ (new \ guess).[/tex]

[tex]Error = new \ guess - previous \ value \\Error=1.24-1.0070967742\\Error= 0.2329032258[/tex]

0.2329032258 &gt; 0.01.

As error &gt; accuracy, we repeat this step again.

Step 4:

Divide 0.96 by the previous result.

[tex]\frac{0.96}{1.0070967742} = 0.9532351057.[/tex]

Average the above value with that of step 3:

[tex]\frac{(0.9532351057 + 1.0070967742)}{2} = 0.98016594\ (new\ guess).[/tex] [tex]Error = 1.0070967742 - 0.98016594 \\Error= 0.0269308342.[/tex]

0.0269308342 &gt; 0.01.

As error &gt; accuracy, we repeat the step again.

Step 5:

Divide 0.96 by the previous result.

[tex]\frac{0.96}{0.98016594} = 0.9794259939.[/tex]

Average the above value with that of step 4:

[tex])\frac{(0.9794259939 + 0.98016594)}{2} = 0.979795967 (\ new \ guess).[/tex] [tex]Error = 0.98016594 - 0.979795967\\Error = 0.000369973.[/tex]

0.000369973 &lt; 0.01.

As error &lt; accuracy, we stop the iterations and use 0.979795967 as the square root of 0.96.

So, we can say that the square root of 0.96 is 0.979 with an error smaller than 0.01 (in fact the error is 0.000369973). this means that the first 3 decimal places are correct.

Since the value of the right side from the hundredth place is greater than 4 so for rounding off we add 1 to the hundredth place.

So the nearest hundredth value of [tex]\sqrt{0.96}[/tex] is 0.98.

Hence the correct option is C. 0.98.

For more details on square root follow the link:

https://brainly.com/question/1527773

hi pls help me solve this​

Answers

Answer:

-23.33

Step-by-step explanation:

C = 5/9 (F - 32)

C = 5/9 (-10 - 32)

C = 5/9 (-42)

C = -23.33

10. Sarah wants to buy shirts for her school's
graduation party. A company will make the
shirts for $10.50 each plus a $50 setup
charge. If Sarah has $1000, which inequality
could she use to find the maximum number
of x shirts she can buy?

Answers

Answer:

1000 ≥ 10.50x + 50

Step-by-step explanation:

≥ is a greater than or equal to sign. We want to know how many she could possibly buy.

PLEASE HELP!! 100 points!!!


The angle of depression from the top of a tower to a boulder on the ground is 22 . If
the tower is 70 feet high, how far from the base of the tower is the boulder? (Round
answer to the 1st decimal place.)

Answers

Answer:

173.3 feet

Step-by-step explanation:

Let the required distance be x.

We have a right triangle with vertical leg of 70 feet and the acute angle opposite to this leg is 22 degrees.

Use trigonometry:

adjacent / opposite = cotangentx / 70 = cot 22 degx = 70 cot 22 degx = 173.3 feet (rounded)

How do I find a solution in an equation

Answers

Answer:

How to find a solution in an equation:

(1) Substitute the number for the variable in your equation,

(2) Simplify the expressions on both sides of your equation and

(3) Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

Step-by-step explanation:

If any questions, please ask them below.

If you have no questions, please have a great rest of your day/night!

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal.

Three coffee and two muffins cost a total of 7 dollars. Two coffees and four muffins coast a total of 8 dollars. What is the individual price for a single coffee and a single muffin?

Answers

Step-by-step explanation:

Given,

3 coffee + 2 muffins = $7

and

2 coffees + 4 muffins = $8

let the coffee be x and muffins be y.

so now, we got

3x + 2y = $7 -----------(eqⁿ 1)

2x + 4y = $8 -------------(eqⁿ 2)

multiply (eqⁿ 1) by 2

we got,

2(3x + 2y = $7) = 6x + 4y = $14 -----(eqⁿ 3)

now, subtract (eqⁿ 2) from (eqⁿ 3)

we got,

(6x - 4y = $14) - (2x + 4y = $8)

we got,

4x = $6

x = 6/4 = $1.5

to get value of y put the value of x in eqⁿ2

we got,

2(1.5) + 4y = $8

3 + 4y = 8

4y = 8 - 3 = 5

y = 5/4 = $1.25

hence,

value of one coffee = $1.5

value of one muffin = $1.25

Hope this answer helps you dear! take care!.

some one plz help!!! due in 10 min

Answers

Step-by-step explanation:

since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get

f(x) = x²/9 × c

c = m×e^n

f(1) = 1/9 × m×e^n = 5

=> m×e^n = 45

f(3) = 9/9 × m×e^n = 45

m = 45

n = 0

can yallll help pls . ………

Answers

Step-by-step explanation:

so, what is the problem with the first one ?

you only need to put the specified values into the places of the variables and then simply calculate :

2×-5 + 8×6 = -10 + 48 = 38

that is how expressions, equations and functions work.

for the second, I am counting only the squares with their clear "majority" inside the line. any small parts of squares I ignore.

so,

first row : 3

second row : 5

third row : 5

fourth row : 6

fifth row : 7

sixth row : 7

seventh row : 4

eighth row : 2

total : 39

Other Questions
write an equation(X-P) (x-q)=0 What did Socrates claim to know? what 0x0+1-0 explain it has to be mathematical geniuses Can you please help me when you make a decision, you should first define the problem. what do you do next? Why 10 is down how we get it? find possible lenth and breadth of the rectangle whose area is given by the expression x power 2 +6x +8 In the circle represented by the equation (x-4)2+(y-3)2=25, the diameter is Determine if the two triangles are congruent. If they are, state how you know Consider this reaction: 2h+ + co32- h2o + co2. Identify each of the following as a product, a reactant, or a coefficient. Co32-: h2o: co2: the 2 in front of h+:. What is one five eights plus one two eights? Help pls Explain how macronutrients are different than micronutrients. Please provide details and/or examples How did the government ensure that food made it to the troops? How would this help win the war? Kim needs 10 cups of apple juice for a recipe. How many quarts does she need? 6. How did the use of Arabic numerals impact the development of the scientific revolution add r to s, double the result, then multiply what you have by t What business did the Medicis run in the 15th century ? What is the y-intercept of y = 4x? Choose 1 answer: Write something that makes you happy. It takes 120 mL of 0.15 M of carbonic acid (H2CO3) to neutralize 300 mL of sodium hydroxide (NaOH) for the following balanced chemical reaction:2NaOH + H2CO3 N2CO3 + 2NaOHThe concentration of the sodium hydroxide _____.0.03 M0.24 M0.12 M0.06 M