Surds[tex]5\sqrt[3]{24}-\sqrt[3]{192}[/tex]

Answers

Answer 1

Answer:

  6∛3

Step-by-step explanation:

  [tex]\displaystyle 5\sqrt[3]{24}-\sqrt[3]{192}=5\sqrt[3]{2^3\cdot3}-\sqrt[3]{4^3\cdot3}\\\\=(5\cdot2-4)\sqrt[3]{3}=\boxed{6\sqrt[3]{3}}[/tex]

_____

The cubes under each radical can be brought out. Coefficients of like radicals can be combined.


Related Questions

How do you solve (x+4)2 ?

Answers

Answer:

Simplify the expression.

x2+8x+16

Step-by-step explanation:

A regular polygon has an exterior angle of 40
°

Work out the number of sides of the polygon.​

Answers

Answer:

9 sides

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

To find the number of sides n divide the sum by 40°

n = 360° ÷ 40° = 9

9
The exterior angles of any regular polygon must add up to 360. Since the angle measure given in the questions is 40, take 360/ 40= 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.

Multiply the binomials:

(3x + 4)(5x − 2)

Answers

Answer:

15x^2 + 14x - 8

Step-by-step explanation:

y=-2x + 7
y = 5х – 7
Find the solution

Answers

Answer:

x = 2

Step-by-step explanation:

Given:

y = -2x + 7 y = 5х – 7

If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.

=> -2x + 7 = 5х – 7

=> 7x = 14

=> x = 2

Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.

=> y = 5х – 7

=> y = 5(2) - 7

=> y = 10 - 7

=> y = 3

Hoped this helped.

stteps for solving 6(4x-3) are shown

which of these is not a part of the solution prosess

Answers

Answer:2 4  −  1 8

Step-by-step explanation:

A fourth of the product of 13 and a number M

Answers

Answer:

[tex]\frac{13m}{4}[/tex]

Step-by-step explanation:

"the product of 13 and a number M" should be written as 13m.

To get a fourth of the produce we would need to divide it by four.

A fourth of the product of 13 and a number M should be [tex]\frac{13m}{4}[/tex] .

Hope this helps.

How many times larger is 8 X 10^5 than 2 X 10^3

Answers

Answer:

798,000

Step-by-step explanation:

Simplify all the exponents

8×10^5

=8×100,000

=800,000

2×10^3

=2×1,000

=2,000

Difference=800,000-2,000

=798,000

(8+ 4)divided by 2 - 3

Answers

Answer:

3

Step-by-step explanation:

(8 + 4) / 2 - 3

12 / 2 -3

6 - 3

3

Answer:

3

Step-by-step explanation:

You do the parenthesis first (8+4)

Then you divide 12 by 2 if you are following Pemdas

6 - 3 = 3

Hope this helped!

In a muncipality ,Two of the most well-known activities for teenagers are biking and motorcycling riding.Out of 100 teenagers,58 in biking,42 like motorcycling and 18 like both

a.create a veen diagram represent the problem​

Answers

Answer:

See below

Step-by-step explanation:

Given:

Total number is 100Biking = 58Motorcycling = 42Both = 18

Biking only:

58 - 18 = 40

Motorcycling only:

42 - 18 = 24

Neither:

100 - (40 + 18 + 24) = 18

Venn diagram consists of:

Biking |  Both (Intersection) | Motorcycling  |  Neither (outside of circles)

  40                   18                         24                             18

5

7

2

8

1) what is the area (square units)

Answers

area: 560

Explanation: multiply everything together

What is a good estimate for 280% of 30? Explain.

Answers

Answer:

84

Step-by-step explanation:

Calculator:280÷100×30=84

Answer:

84

Step-by-step explanation:

4(t²-5t) + 3u³ when t=4 and u=5?

ASAP

Answers

The answer to this equation will be 359

Answer:   359

Step-by-step explanation:

4(t²-5t) + 3u³   plug in the t and u

= 4[4²-5(4)] + 3(5)³

= 359

can yall help me plzz

Answers

Answer:

x = 8

Step-by-step explanation:

To get x on its own we need to divide both sides by 0.6: 4.8 ÷ 0.6 which is 8.

Hope this helps!

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

The correct answer is approximately 20 ft !

Please mark me brainliest if you are able to do it :)

the answer is 20,336 ft

6,200 mm is 6,2 m and you multiply it with 3,28 feet then you get the answer.

Dilations map lines to lines.
true or false ?

Answers

Answer:

true

Step-by-step explanation:

Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?

Answers

Answer:

5 /12

Step-by-step explanation:

HURRY for Brainlist

The drama club is printing t-shirts for its 21 members. The printing company charges a certain amount for each shirt plus a setup fee of $40.

Write an equation to represent the total cost for printing the shirts.

Question 1 options:

C = 21 + 40t


C = 21t - 40


C = 21t + 40


C = 21t

Answers

For the question in the photo:
y = 2.50x + 7.50

Domains:
0, 2, 3, 4, 5, 6, 7, 8, 9, 10

As you can’t ride 0.2 or 0.7 of a ride, for example, and you only have time for ten rides. Plus you have enough money to ride ten rides

For the drama club one:

C = 21t + 40

Is the correct answer as 40 is a set value and is not influenced by the amount of club members there are, x is the amount per shirt, and C is the cost
Answer:

C = 21t + 40

Explanation:
Since the fee is 40 it’s +40 which in turn means doesn’t get affected by t hope this helps

pls help me with this question ...​

Answers

Here is ur perfect answer

Answer:

x = 207

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

([tex]\sqrt{x}[/tex] )² + 7² = 16²

x + 49 = 256 ( subtract 49 from both sides )

x = 207

Can you give 50 cent in 8 dollars to 17 people

Answers

No you cannot only 16 people

Which of the following properties could be used to rewrite the expression (2/3 . 1/5) . 5/2 as 2/3 . (5/2 . 1/5)
a. The commutative property used twice
b. The associative property followed by the commutative property
c. The commutative property followed by the associative property
d. The associative property used once​

Answers

Answer:B

Step-by-step explanation:

max has x dollars. Keisha has four more dollars then max

Answers

Answer:

4x

Step-by-step explanation:

Simply add 4 and x, and that is 4x.

The polynomial f(2) = 2? + 432 - 594 is a parabola. The parabola's x-intercepts are (11, 0) and (-54, 0). Give the factored form of the
polynomial.

Answers

725182626282527736282628

The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?

Answers

Answer:

The answer will be 12 students. 12 students must transfer from Class Y to Class X so that both classes have equal number of students.

Step-by-step explanation:

Since the ratio is 2 : 5, we would multiply both number to 8 and get 16 : 40.

Now find the average of those two numbers: (16 + 40) / 2 which gets you 28. Now either subtract 16 from 28 or subtract 28 from 40 and you will get 12.

28 - 16 = 12 students

40 - 28 = 12 students.

Find the side length of the triangle 4x+8=3x+12

Answers

Answer:

I think it might be 4.

Step-by-step explanation:

:)

I found something that says 6x or something if that helps?

I hope you get it right!!!

Someone help me please. I don't just want the answer, I need an explanation on how it's done too.​

Answers

Answer:

Below.

Step-by-step explanation:

f) (a + b)^3 - 4(a + b)^2  

The (a+ b)^2 can be taken out to give:

= (a + b)^2(a + b - 4)

= (a + b)(a + b)(a + b - 4).

g)  3x(x - y) - 6(-x + y)

=  3x( x - y) + 6(x - y)

= (3x + 6)(x - y)

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

h) (6a - 5b)(c - d) + (3a + 4b)(d - c)

=  (6a - 5b)(c - d) + (-3a - 4b)(c - d)

= -(c - d)(6a - 5b)(3a + 4b).

i)  -3d(-9a - 2b) + 2c (9a + 2b)

= 3d(9a + 2b) + 2c (9a + 2b)

=  3d(9a + 2b) + 2c (9a + 2b).

= (3d + 2c)(9a + 2b).

j)  a^2b^3(2a + 1) - 6ab^2(-1 - 2a)

=  a^2b^3(2a + 1) + 6ab^2(2a + 1)

= (2a + 1)( a^2b^3 + 6ab^2)

The GCF of a^2b^3 and  6ab^2 is ab^2, so we have:

(2a + 1)ab^2(ab + 6)

= ab^2(ab + 6)(2a + 1).

Order the numbers 0.64, 2/3, 65%, and 7/10 from least to greatest.
(Please explain how you did it too-)

Answers

Answer:

the order is 0.64, 65%, 2/3, and 7/10

Step-by-step explanation:

because 2/3=0.66666, 65%=0.65, 7/10=0.7

A square has an area of 146.41m2 work out the premeter of the square

Answers

Suppose that one of sides is x :

Area = x²

thus :

[tex]146.41 = {x}^{2} [/tex]

[tex]x = \sqrt{146.41} [/tex]

[tex]x = 12.1[/tex]

_____________________________________________

Perimeter = 4x

[tex]p = 4 \times 12.1[/tex]

[tex]p = 48.4[/tex]

The Perimeter of Square is 48.4 m.

What is Area and Perimeter of Square?

The Area of square is the product of the side.

Area of Square = side x side

and, The Perimeter of Square is 4 times the side of square

Perimeter of Square = 4 x side

Given:

Area of Square = 146.41 m²

Now, Area of Square = side x side

Area of Square  = side²

side² = 146.41 m²

side = √146.41 m²

side = 12.1 m

Now, the Perimeter of Square = 4 x side

                                                   = 4 x 12.1

                                                   = 48.4 m.

Lear more about Area and Perimeter of Square here:

https://brainly.com/question/29199125

#SPJ2

Solve the equation the square root of the quantity x plus 4 minus 3 equals 1 for the variable. Show each step of your solution process. (10 points) SOLVE FOR X

Answers

x + 4 - 3 = 1

x + 1 = 1

x = 0

Answer:

x = 8

Step-by-step explanation:

√x + 4 - 3 = 1

1) Move constant terms to the opposite side of the equation: √x + 4 = 1 + 3

2) Simplify the right side: √x + 4 = 4

3) Now square both sides to eliminate the square root: (√x + 4)^2 = 4^2 (x + 4) = 16

4) Move the constant term to the other side: x + 4 = 16 – 4

5) Simplify the right side: x + 4 = 12

6) Move constant side to the other side: x = 12 – 4

7) Finally, after simplifying the right side again, you get: x = 8

Therefore, the solution to the equation √(x + 4) - 3 = 1 is x = 8.

please help what is #4?

Answers

To Prove:-

JK=IJ

JK= ½IK = IJ= ½IK

JK= IJ(Equal Distance)

GK//HI (Parallel)

Therefore, JK congruent IJ

Hope This Helps

Find the y-intercept and then write the linear equation for the line passing
through (-12, 5) with m = -2/3,


Answers

Answer:

Y-intercept: -3

Equation: y = -2/3x -3

Step-by-step explanation:

Slope intercept equation: y = mx + b, m is the slope and b is the y-intercept

Substitute m with -2/3, your equation should now be y = -2/3x + b

To find the y-intercept, plug in the point (-12,5) and solve for b.

1. 5 = -2/3(-12) + b

2. 5 = 8 + b

3. b = 8 - 5

4. b = 3

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