Simplify the radicals in the given expression:

8^3√a^4b^3c^2-14ab^3√ac^2

8ab√ac^2-14ab^3ac^2

8a^2ba^3√b-14abc^3a

8ab^3ac^2-14ab^3√ac^2

8a^2bc√b-14abc√a
i've gotten the answer it is "8ab^3ac^2-14ab^3√ac^2"

Answers

Answer 1

Answer: it’s option c

Step-by-step explanation:

Answer 2

Simplified form of radical 8∛(a⁴b³c²)-14b∛(ac^(2)) is -6ab∛ac².

What is radical?

The symbol '√' that expresses a root of a number is known as radical and is read as x radical n or nth root of x. The horizontal line covering the number is called the vinculum and the number under it is called the radicand. The number n written before the radical is called the index or degree.

Given radical

8∛(a⁴b³c²)-14b∛(ac^(2))

Rewriting a⁴b³c² as (ab)³ ac²

8∛((ab)³ac²)-14b∛(ac²)

8ab∛ac² - 14b∛ac²

-6ab∛ac².

Hence, -6ab∛ac² is the simplified form of 8∛(a⁴b³c²)-14b∛(ac^(2)).

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Related Questions

(3/7)*(1/10)-(3/7)*2/5+3/7*1
solve the above-using propeties of rational numbers..
pls give the ans fast..
it's very urgent...
pls don't give wrong ans...

Answers

Answer:

 [tex]\frac{- 39}{70}[/tex]

Step-by-step explanation:

{[tex]\frac{3}{7}[/tex] x [tex]\frac{1}{10}\\[/tex]} - { [tex]\frac{3}{7}[/tex] }x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

We follow the BODMAS rule

=  [tex]\frac{3}{70}[/tex] -  [tex]\frac{3}{7}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3}{7}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3*5}{7*5}[/tex]        LCM= 35

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6 + 15}{35}[/tex]

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{21}{35}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{21*2}{35*2}[/tex]             LCM= 70

=   [tex]\frac{3 - 42}{70}[/tex]

=   [tex]\frac{- 39}{70}[/tex]

The following table shows how many multiplication problems 4 students were able to solve in different amounts of time. For example, Murray solved 58 problems in 2 minutes.
Student Problems Minutes
Murray 58 2
Kris 78 3
Logan 84 3
Taylor 92 4
Which student solved problems at a rate of 28 per minute?

Answers

Answer:

logan

Step-by-step explanation:

84 divided by 3 = 28

Answer: Logan

Step-by-step explanation:

Here the given table,

Student :       Murray             Kris            Logan          Taylor

Problem :        58                  78                84               92

Time(min) :       2                   3                    3                 4        

Therefore, Only Logan can solve the problem at the rate of 28 per minutes.

What is the volume of this rectangular prism?
-
4.8 cm
4.1 cm
15 cm

Answers

Answer:

295.2 cm^3

Step-by-step explanation:

Volume of a prism = length * width * height.

Here the volume = 4.8 * 4.1 * 15

= 295.2 cm^3.

The volume of rectangular prism is 295.2[tex]cm^{3}[/tex]

What is rectangular prism?

A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.

What is the volume of rectangular prism?

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

According to question

Length of rectangular prism = 4.8cm

Breath of rectangular prism = 4.1cm

Height of rectangular prism = 15cm

Volume of rectangular prism = Length * Breath * height

= 4.8*4.1*15

= 295.2[tex]cm^{3}[/tex]

Hence, Volume of rectangular prism is 295.2[tex]cm^{3}[/tex]

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match the type of graph with its description

Answers

Answer:u tell me doc

Step-by-step explanation:

Subtract (3x^3+4x^2)-(2x^3+3x^2-x)

Answers

Answer:

X^3 + x^2 + x

Step-by-step explanation:

First, distribute the negative sign to the numbers in the second parentheses. Then you’ll need to combine like terms.

A store makes a $0.45 profit on every toy they sell. If they made $237.15 in profit last month, how many toys did they sell?

Answers

Answer:

527

Step-by-step explanation:

237.15/0.45 = 527

Answer:

They sold 527 toys.

Step-by-step explanation:

If they make 0.45$ profit on every toy.

Total profit of a month is $237.15.

then no of toys sold = total profit divided by individual profit

Number of toys= 237.15/0.45 =527

Write the standard form of the line that passes through the given points. (-3,5) and (-2,-6)

Answers

Answer:

Step-by-step explanation:

What you’ll do is subtract -3 and -2 and then subtract 5 and -6

Please answer.....................................

Answers

Answer:

1.25 + r = 4

1.25 - 1.25 + r = 4 - 1.25

r = 2.75

first option is the answer

Step-by-step explanation:

1. subtract 1.25 from both sides

Determine which of the given numbers are zeros of the polynomial g(x)=x^4+6x^3-x^2-30x.


a.) 2, 3

b.) 0, -1

c.) 2, -1

d.) 0, 2

Answers

Answer:

d.) 0, 2

Step-by-step explanation:

I graphed the polynomial on the graph below to find the zeros of the function.

If this answer is correct, please make me Brainliest!

which of the following is the best way of selecting a random sample

Answers

Answer:

I believe its c because a b and d are far off

Step-by-step explanation:

if butter the dog jumps two times and falls one time then how many times has he jumped?

Answers

Answer:1 or 3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

what is the independent value

Answers

Independent variable – the variable that is altered during a scientific experiment.

Dependent variable – the variable being tested or measured during a scientific experiment.

Controlled variable – a variable that is kept the same during a scientific experiment.

which of the following are true

Answers

Answer:

the 4 one maybe

Step-by-step explanation:

Which of these situations can be considered a binomial experiment?
A.
Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles

B.
Asking 25 students how tall they are and recording their answers

C.
Rolling a single number cube until you get a 5

D.
Tossing a coin 50 times and recording the number of times it lands on heads

Answers

Answer:

D. Tossing a coin 50 times and recording the number of times it lands on heads

Step-by-step explanation:

It is best to analyze each option and see if it meets the conditions of a binomial experiment or not, the most important thing is that the binomial distribution can be used when the results of each experiment / trace in the process are yes / no or success / failure .

A. Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles

Does not meet the conditions, although there are two options, The tests are not independent of each other. The result of one test does affect the results of subsequent tests. because there is a replacement.

B.  Asking 25 students how tall they are and recording their answers

There are not two options

C.  Rolling a single number cube until you get a 5

There are not two options

D.   Tossing a coin 50 times and recording the number of times it lands on heads

Yes there are two options and they are events are independent of each other, therefore it is the correct answer.

Answer:

D. Tossing a coin 50 times and recording the number of times it lands on heads

Step-by-step explanation:

A P 3 X

The length of an arc of a circle is 9.42cm. If the diameter of the circle is 10cm, find the angle subtended by the arc at the center of the circle. (Take π = 3.142)
SHOW ALL WORKING.

Answers

Answer:

1.89 radians  or 108 degrees.

Step-by-step explanation:

Circumference of the circle = 10 * 3.142

= 31.42.

So 31.42 is equivalent to 2 pi radians, so:

Angle subtended at the center

= (9.42 / 31.42) * 2 pi

=  (9.42 / 31.42) * 2 * 3.142

= 1.89 radians  or 108 degrees..

hey can anyone pls help me out in dis i will give 30 points!!!!!

Answers

Answer:

First box = I would use the slope formula. The slope formula is y2 - y1/x2 - x1.

Second box horizontally = the method I would use is using the slope formula

Second row of boxes = I would graph it using the computer.

The pot has a diameter of 10 inches a height of 12 inches. there are 120 meatballs each meatball is 2.4 inches. the sauce takes up half the pot already. determine if the sauce overflows or not. pls help its due in an hour! ):

Answers

the answer is c

Step-by-step explanation:

David's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline to travel 350 miles. If the price of gasoline was approximately $4.00 per gallon, how much less, to the nearest cent per mile, did it cost to run the car after the mechanic worked on it?

Answers

Answer:

Step-by-step explanation:

Question 1 (1 point)
What is the area of the SHADED sector of the circle?
162° H
O a
Ob
Oc
400 x units2
20 x units2
180 x units2
40.x units2
od​

Answers

Question:

What is the area of the SHADED sector of the circle?

Image of the circle is attached.

A) 400π units²

B) 20π units²

C) 180π units²

D) 40π units²

Answer:

C) 180π units²

Step-by-step explanation:

From thr circle, we can see that the given radius is 20 and the shaded part is 162°

The formula to calculate the area of the shaded sector of a circle is =

Area of the circle * fraction of the shaded part of the circle.

We know area of a circle = πr²

Therefore, area of the shaded sector =

[tex] = \pi r^2 * \frac{162}{360}[/tex]

[tex] = 20^2 * \pi * 0.45 [/tex]

[tex] = 400 * 0.45 * \pi [/tex]

[tex] = 180 \pi [/tex]

Area of the shaded sector of the circle is 180π units²

Factorise this expression as fully as possible
4x^2+x^3

Answers

Answer:

x^2(4+x)

Step-by-step explanation:

you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations

Please help me any thing you can do just help me

Answers

Q1 the correct answer is D

Answer:if u need help go to a Psychiatric hospital

Step-by-step explanation:

Round to nearest hundreth

Answers

The answer is 44.42°

What is a set of ordered pairs

Answers

Answer:

A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.

Step-by-step explanation:

There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High?

Answers

Answer:

180 teachers

Step-by-step explanation:

In this case, we know the value corresponding to 45% of female teachers which is 81, therefore, to find the total it would be:

% teachers    #teachers

       45                 81

       100                 x

we apply the rule of three:

x = 100 * 81/45

x = 180

which means that there are a total of 180 teachers at Russell High

Shreya built a wooden sculpture with the dimensions shown. Now she wants to paint it. How much paint does she need?

Answers

Answer:55.7 would be the answer.

Step-by-step explanation:

Answer:

the answer is 55.7

Step-by-step explanation:

because i got it right on edge 2021

Simplify, and then write in exponential form. Do not evaluate.
(7^2)^4

Answers

Answer:

7^8

Step-by-step explanation:

(7^2)^4

We know a^b^c = a^(b*c)

(7^2)^4 = 7^(2*4)

           = 7^(8)

(7x7)(7x7)(7x7)(7x7)

Need help someone help !

Answers

Answer:

A = 2x^2 + 2x - 12

Step-by-step explanation:

A = (2x-4)(x+3)

(use FOIL to solve)

A = 2x^2 + 2x - 12

?????????????????????????????????????????????????????????????????????????????????????????????????????????yo pls help

Answers

Answer:

75 pieces

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

You can use process of elimination, first, it's asking for pieces, not ounces, it's also must be larger than 45 since the other variable is increasing.

A word game has 100 tiles, including 2 blank tiles and 56
consonant tiles. There are 42 tiles with a vowel on each, and 12 have an "E." If the tiles are turned face down, and Dante selects one, what is the probability he will select a tile with an "E" on it?
Select One:

A.)2/7

B.)3/14

C.)I/12

D.)3/25​

Answers

Answer:

D) 3/25

Step-by-step explanation:

Total number of tiles:

100

Number of tiles with "E" on it:

12

Probability of selecting a tile with "E" on it:

12/100 = 3/25

Answer choice: D) 3/25

Problem:
The pile of blocks above weighs 2 pounds. How many ounces do the blocks weigh?
A
32 ounces
B
16 ounces
C
1 ounce
D
64 ounces
End
Session​

Answers

The answer is 32 ounces (A)

the answer is 32 ounces  this same queston is in my notes

hope it likes you...

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