1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
satela [25.4K]
3 years ago
13

Find the cube root of 19683 by prime factorization method. Show steps.

Mathematics
2 answers:
ANTONII [103]3 years ago
3 0

Answer:

  • 27

Step-by-step explanation:

<u>Given number:</u>

  • 19683

<u>Prime factors of 19683:</u>

  • 19683 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3^9

<u>Cube root:</u>

  • ∛19683 = ∛3^9 = 3^3 = 27
SVEN [57.7K]3 years ago
3 0

Answer:

27 is the cube root

Step-by-step explanation:

You might be interested in
Find the excluded value of the function Y= - 10/6x-5. The excluded value is x =??
Masteriza [31]

Answer:

The excluded value is x = 5/6

Step-by-step explanation:

Here, we want to calculate the excluded value

The excluded value is simply the value of x that will make the denominator of the fraction equals zero

We have this as;

6x -5 = 0

6x = 5

x = 5/6

8 0
3 years ago
A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa
Gnesinka [82]

Answer:

The value of x would be \frac{5}{3}

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3

Differentiating with respect to x,

V'=100 - 80x + 12x^2

Again differentiating with respect to x,

V''=-80 + 24x

For maxima or minima,

V'=0

\implies 100 - 80x + 12x^2 = 0

\implies 3x^2 - 20x + 25=0

By quadratic formula,

x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}

x=\frac{20\pm \sqrt{400 - 300}}{6}

x=\frac{20\pm \sqrt{100}}{6}

x=\frac{20\pm 10}{6}

\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

8 0
3 years ago
Which expression is equivalent to (x^6y^8)^3 / x^2y^2?​
stiks02 [169]

Answer:

=x^16y^26

Step-by-step explanation:

x^18y^24xy^2

x^16y^24xy^2

8 0
3 years ago
Help me please thanks
Afina-wow [57]
Innermost orbitals have the least amount of energy
4 0
3 years ago
Read 2 more answers
What’s 124 divided by 7440
Bingel [31]
It’s 0.016666666666667
5 0
3 years ago
Read 2 more answers
Other questions:
  • (x^2+3y-3) - (-2x^2+3y-1)
    5·1 answer
  • 15 decreased by twice a number
    10·1 answer
  • 4. If f(x) = 9x + 1, find f-1 (f (3)).
    10·1 answer
  • Pls pls pls help ,,,,,,,,
    6·2 answers
  • Solve for x Please hurry
    9·2 answers
  • Can somebody help me?​
    10·1 answer
  • What is the value of x?<br><br> −3/4(12−8x)=5x+15−7x
    12·1 answer
  • Can someone help me with this
    9·1 answer
  • Find the measure of the exterior angle.
    15·1 answer
  • RSTU is an isosceles trapezoid with bases RS and TU.<br> Find x and m/S if m/R=4x +11 and m/T=2x-5.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!