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
Ierofanga [76]
3 years ago
10

Which of the following is the complete factorization of (x^4 -16)

Mathematics
1 answer:
bearhunter [10]3 years ago
5 0
The answer will be (x-2) (x+2) (x^2+4)
You might be interested in
Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of t
MariettaO [177]

Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.\overline 6

Given that 6.\overline 6 > 0, we have;

At the maximum volume, the width of the block, w = 6.\overline 6 cm ≈ 6.7 cm

The maximum volume, V_{max}, is therefore given when w = 6.\overline 6 cm = 20/3 cm  as follows;

V = 10·w² - w³

V_{max} = 10·(20/3)² - (20/3)³ = 4000/27 = 148.\overline {148}

The maximum volume, V_{max} = 148.\overline {148} cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

5 0
3 years ago
Help me please please
WITCHER [35]
The answer is 488.66600.
5 0
3 years ago
What is the circumference of a circle with a radius of 8.4 inches
Klio2033 [76]

Answer: 52.77876 in

Explanation: C=2πr=2·π·8.4≈52.77876 in

3 0
3 years ago
In a year group there 100 boys and 140 girls. Write as a ratio the number of boy to the number of girls. Give the answer in the
expeople1 [14]

no. of boys : no.of girls

100 : 140

to get the simplest ratio you gotta divide both with a common factor

Because both 100 and 140 share a common factor of 20

the simplest ratio will be

100/20 : 140/20

5:7

5:7 is the simplest ratio

5 0
2 years ago
Read 2 more answers
What is the sin value of 5pi/3?
svetoff [14.1K]

if you do not have a Unit Circle, this is a great time to get one, you can find many online just do a quick search for "unit circle".

Check the picture below.

7 0
3 years ago
Read 2 more answers
Other questions:
  • What’s the value for X?
    12·1 answer
  • Which statement is correct? A) 13/ 3 < 4.25 < 43 /10 B) 43 /10 < 13 /3 < 4.25 C) 4.25 < 13 /3 < 43/ 10 D) 4.25
    12·2 answers
  • Simplify: -14cd-2c^2d^2+15cd+9c^2d^2-15cd
    14·1 answer
  • Given the relation (2,3), (4,7), (6,11), (x,3), which of the following values of x will make the relation function
    10·1 answer
  • Janna drank 0.7 liter of water before soccer practice and 0.70 liter of water after practice compare the two decimals using grea
    15·1 answer
  • PLZ HELP I WILL MARK BRAINLIEST <br><br> NO LINKS!!!
    14·1 answer
  • Someone plzzzz help ​
    6·2 answers
  • Solve the following equation for the given variable.
    14·1 answer
  • 54 + 38<br> -<br> = (52 +<br> D + 38<br> -<br> =52+ (<br> +38)<br> = 52 +<br> II
    14·1 answer
  • A chemist is using 331 milliliters of a solution of acid and water. If 15.5% of the solution is acid, how many milliliters of ac
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!