√128ab^3
simplify square roots

Answers

Answer 1

Answer:

[tex]8b\sqrt{2ab}[/tex]

Step-by-step explanation:

Rewrite 128a[tex]b^{3}[/tex] as [tex](8b)^{2}[/tex] ⋅ (2ab).

Factor 64 out of 128.

[tex]\sqrt{64 (2)ab^{3} }[/tex]

Rewrite 64 as [tex]8^{2}[/tex] .

[tex]\sqrt{8^{2} . 2ab^{3}[/tex]

Factor out [tex]b^{2}[/tex].

[tex]\sqrt{8^{2} . 2a (b^{2}b)[/tex]

Move a.

[tex]\sqrt{8^{2} . 2b^{2}ab[/tex]

Move 2.

[tex]\sqrt{8^2b^2 . 2ab}[/tex]

Rewrite [tex]8^{2} b^{2}[/tex] as [tex](8b)^{2}[/tex].

[tex]\sqrt{(8b)^2 . 2 (ab)}[/tex]

Add parentheses.

[tex]\sqrt{(8b)^2 . (2ab)}[/tex]

Pull terms out from under the radical.

[tex]8b\sqrt{2ab}[/tex]


Related Questions

plz help me i will give 50 points,

Answers

159,159,159,160,161,162,166,167,168,192

What value of X makes equation below true 2x + 9 = 4x - 1

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 IS THE RIGHT VALUE THAT MAKES THE GIVEN EQUATION TRUE...

Step-by-step explanation:

2x+9=4x-1

9+1=4x-2x

10=2x

10/2=x

5=X

PLS ANSWER PHOTO ATTACHED

Answers

Answer:

its 12

Step-by-step explanation:

The answer would be 12

Please help! It’s very confusing and it’s not 1+(n-1)1 btw

Answers

It's [tex]t_n=n[/tex] for n = 1, 2, 3, …


Find the length of the segment that joins the points (4, -2) and (1, -3).
Answer: square root of __

Answers

Answer:

Your answer would be √10, or square root of 10.

ILL MARK BRAINLIST

Which option identifies if the study in the following scenario is valid at the margin of error and correctly explains why or why not?
A researcher seeking a margin of error of 5% designs a study for a sample size of 144.


Yes, because 53 = 225 > 144

Yes, because = 0.69% < 5%

No, because 144 * 5% = 7.2 > 5

No, because = = 8.3% > 5%

Answers

Answer:

B would be your best choice

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

other guy isn't correct, got wrong answer

800% of what number is 6880

Answers

Answer:

The answer is 11.63

Step-by-step explanation:

Dan invests £1500 into his bank account.
He receives 3% per year simple interest.
How much will Dan have after 2 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£1,725.00

Step-by-step explanation:

To calculate simple interest, we use the formula:

a = p(1 + rt)

a is the answer

p is the principle, or the starting amount of money

r is the rate, or the rate of interest (the percent)

and t is the time, or years.

First, 3% as a decimal is 0.03

So we can plug that in as r.

Then just plug the rest of the numbers in.

a = 1500(1 + 0.03 x 2)

Then just solve the equation to get 1,725.00.

Hope this helps!

5.6x+0.05-2.4k+5.9
please solve quickly I need help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

5.6x+5.95-2.4k if that's what you need

The answer the other person gave was already simplified so you already have the answer. If you need to show your work here you go. I hope this help :)

If any of you are good with math and Science especially algebra can you PLEASE HELP ME ​

Answers

Answer:

ok what do i do 1st

Step-by-step explanation:

Answer:

how can i help?

Step-by-step explanation:

In the United States, the maintenance and construction of airports, transit systems, and
major roads is largely funded through a federal excise tax on gasoline. Based on the 2011
statistics given below, how much did the average household pay per year in federal gasoline
taxes?
.
The federal gasoline tax rate was 18.4 cents per gallon.
• The average motor vehicle was driven approximately 11, 340 miles per year.
The national average fuel economy for noncommercial vehicles was 21.4 miles per
gallon.
The average American household owned 1.75 vehicles.
.
$55.73
$68.91
$97.52
$170.63

Answers

Answer:

Step-by-step explanation:

uy

According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.

How to calculate how much average household paid per year in federal gasoline taxes?

To calculate how much the average household paid per year in federal gasoline taxes, we can use the following steps:

Determine the total number of gallons of gasoline consumed by the average household per year:

Total gallons = (Total miles driven) / (Miles per gallon)Total gallons = 11,340 miles / 21.4 miles per gallonTotal gallons = 530 gallons (rounded to the nearest gallon)

Calculate the total amount paid in federal gasoline taxes per year:

Total taxes = (Total gallons) * (Tax rate per gallon)Total taxes = 530 gallons * $0.184 per gallonTotal taxes = $97.52

According to the above we can establish that based on the given statistics, the average household paid approximately $97.52 per year in federal gasoline taxes.

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The sum of a number, n, and 5 is subtracted from 8

Answers

Answer:

i don't really understand ur question

8 - (n+5)

Step-by-step explanatio

brainliest and 35 points!

Which of the following number lines represents the solution to m/-2 - 7 = -9?

Answers

I think that is the second one but I’m not really sure , sorry if isn’t correct
That right I just came here to check

please hurry, will give brainliest

Answers

Answer:

5.03709... , 4.923935... , 4.123105... (square root of 17) , 3.464101... (square root of 12)

Step-by-step explanation:

:D

Need help on the level 10 question. Only comment if you know. Please step by step

Answers

2xy^2+xy^2+xy-2x

2x(y^2-1)+xy(y+1)

2x(y-1)(y+1)+xy(y+1)

(y+1)(2xy-2x+xy)

(y+1)(3xy-2x)

I divide 3xy^2 into 2xy^2+xy^2

3xy² + xy - 2x

Take x common from all the terms.

= x (3y² + y - 2)

Now, split the middle term of the bracketed portion.

= x (3y² + 3y - 2y - 2)

= x {3y (y + 1) - 2 (y + 1)}

= x (y + 1) (3y - 2)

Answer:

[tex]x (y + 1) (3y - 2)[/tex]

Hope you could understand.

If you have any query , feel free to ask.

Help me please help please choose two answers

Answers

Answer:

Choice 1 and Choice 2

Answer:

1,2 hope this helps

Step-by-step explanation:

I just did this

Your bedroom wall is 221 inches wide. You want to hang two posters, each 28 inches across, with an equal space between each poster and the wall edges. How many inches of space should you leave between the wall edge and each poster?​

Answers

Answer:

55 inches

Step-by-step explanation:

2 posters x 28 inches each = 56

221 - 56 = 165 inches

3 blank spaces on wall

165 ÷ 3 = 55 inches between posters and on either side

You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you
decide to swim 15 minutes longer than she does one day at practice.
Write an equation for the number of minutes you swim, y, when your friend swims 2 number of minutes.
You swim 55 minutes.
How many minutes did your friend swim?
minutes

Answers

Answer:

40 minutes

Step-by-step explanation:

Answer:

Y = X  + 15*D

Step-by-step explanation:

Y = Person Swims During Practice

X = Frien Swims During Practice

D = number of Days both Practice

its given that daily 15 minutes longer swim then Friend

Hence

Y = X  + 15*D

Help for math.
25=(120)^2/P

Answers

Answer:

576

Step-by-step explanation:

You can refer to the photo I attached

6. What is the length of BC?

Answers

The length of BC is 9

HII CAN someone pls help me with these 2 im stuck on them :((!!
i need a answer and i have to explain
plS HELP!!!

Answers

for 14: work out 10% which is 72 then X4 which is 288.

Based on a $400 loan amount, rank the following companies from the lowest to highest annual percentage rate (APR)

Answers

Answer:

Step-by-step explanation:

A = 40* (365/5)= 29.2%

B = 50*(365/12) = 15.2%

C= 80*(365/15)=19.46%

D = 100*(365/20)=18.25%

so best is B,  then D , then C then A .  

B,D,C,A   in lowest to highest APR

As per the given data, with a base of $400 for loan amount, the ranking of all the given companies from the lowest to highest annual percentage rate is B,D,C, and A.

What is the annual percentage rate?

Annual borrowing costs, including fees, are stated as a percentage and are known as the annual percentage rate, or APR. The APR is a more comprehensive indicator of how much borrowing money will cost because it includes both interest rates and application fees.

Instead of just a monthly fee or rate, the term annual percentage rate of charge refers to the interest rate for the entire year as applied to a loan, home loan, credit card, and many more. It can also be referred to as a nominal APR or an effective APR. It is a financial fee that is calculated at an annual rate.

Required calculations are as follow:

A = 40 × (365/5)= 29.2%

B = 50 × (365/12) = 15.2%

C= 80 × (365/15)=19.46%

D = 100 × (365/20)=18.25%

Therefore, the ranking of all the companies  with the lowest to highest annual percentage rate are B,D,C, and A.

Learn more about annual percentage rate from here:

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8(k+3)=12k−4 k = ______

Answers

Answer:

See explanation.

Step-by-step explanation:

[tex]8(k+3)=12k-4k[/tex]

Distribute the 8

[tex]8k+24=12k-4k[/tex]

Combine like-terms on right side

[tex]8k+24=8k[/tex]

This equation is not true because for any value for k, this equation will never be true. For example, if we subtract 8k from both sides, we get

[tex]24=0[/tex]

This isn’t a true statement, so your answer would be one of the following:

k=∅

No solutions

HELP ASAP! GIVING BRAINLY IF CORRECT

Container A is a cylinder with a radius of 9 units and a height of 9 units. A right cone has been carved from its base and has a height of 9 units. Container B has the same radius as container A. Which statement derives the formula to find the volume of container A?

container A is a right cylinder that has had a right cone subtracted from its base, container B is half of a sphere

π(92)(9) − 1 over 3π(92)(9)
2[π(92)(9) − 1 over 3π(92)(9)]
1 over 3π(92)(9) − π(92)(9)
2[1 over 3π(92)(9) − π(92)(9)]

Answers

Answer:

a. π(92)(9) − 1 over 3π(92)(9)

Step-by-step explanation:

Solution given: For A

height =9units

breadth =9units

for both cylinder and cone

Volume of container A=volume of cylinder -volume of cone

=πr²h-1/3×πr²h=π(9²)9-1/3×(9²)9

so your final answer is A

a. π(92)(9) − 1 over 3π(92)(9)

The volume of the container A and container B will be π(9²)9 – (1/3)π (9²)h. Then the correct option is A.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Container A is a cylinder with a radius of 9 units and a height of 9 units. A right cone has been carved from its base and has a height of 9 units.

Then the volume of the container A will be given as

Volume of A = Volume of cylinder – volume of cone

Volume of A = πr²h – (1/3)πr²h

Volume of A = π(9²)9 – (1/3)π (9²)h

Volume of A = (2/3) π(9)³

Container B has the same radius as container A.

Volume of B = (4/6) πr³

Volume of B = (2/3) π(9)³

Then the correct option is A.

More about the geometry link is given below.

https://brainly.com/question/7558603

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20 POINTS PLEASE HELP IM IN CLASS RIGHT NOW

Answers

Answer:

496

Step-by-step explanation:

992/2 =496

what does c stand for in math

Answers

Answer:

Any number depending on what math problem like

Step-by-step explanation:

5 + c = 14 so c is 9

Answer:

In math algrebra, there are varibles. These varible are letters. Letters are a symbol that can represent anything. So 4x+5=? To figure that out we need to know x. That is an example that a variable can be any number

Step-by-step explanation:

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

x = 97.6

Step-by-step explanation:

cos = adjacent over hypotenuse

[tex]cos(55)=\frac{56}{x}[/tex]

* multiply each side by x *

[tex]cos(55)*x=xcos(55)\\\frac{56}{x} *x=56\\56=xcos(55)[/tex]

* divide each side by cos ( 55 ) *

[tex]\frac{xcos(55)}{cos(55)} =x\\\frac{56}{cos(55)} =97.63302055[/tex]

we're left with x = 97.63302055

Our last step is to round to the nearest tenth of a foot

We get that x = 97.6

Answer please and thank you

Answers

Answer:

s = 11.97

Step-by-step explanation:

Pls help ! Will give brainliest

Answers

Answer:

constraints - limitations on a problem

vertices - point of intersection

feasible area - maximize or minimize

last one is last one

Step-by-step explanation:

10t^-5 Simplify. Write the expression using only positive exponents.

Answers

Answer:

Step-by-step explanation:

[tex]10t^-5 = 10/t^5[/tex]

The value of  10[tex]t^{-5[/tex] in positive power is 10/ [tex]t^5[/tex].

What are Exponents and power?

The base number is the number that is being multiplied by itself an infinite number of times, and the exponent is the number of times that it is being multiplied. The nth power of the given number is an expression that results from multiplying a given number by itself n times.

We have,

Expression: 10[tex]t^{-5[/tex]

We know to make the power positive we have to reciprocate the number.

Now, using exponents we get

[tex]a^{-m}= 1/a^m[/tex]

So,  10[tex]t^{-5[/tex]

=  10/ [tex]t^5[/tex]

Learn more about Exponents and Power here:

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