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MAXImum [283]
3 years ago
11

Factor x^3+25 completely

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0

Answer:

Please check the explanation.    

Step-by-step explanation:

Given the expression

\:x^3+25\:

Please note that the given expression could not factor further.

<em>But, wait!</em>

Let me take a sample expression and factor that sample expression so that you could get an idea of how to factorize the expression

Given the sample expression

x^2-5x+6

Breaking the expression into groups

\:x^2-5x+6=\left(x^2-2x\right)+\left(-3x+6\right)

Factor out x from x²-2x: x(x-2)

Factor out -3 from -3x+6: -3(x-2)

                   =x\left(x-2\right)-3\left(x-2\right)

Factor out the common term (x-2)

                   =\left(x-2\right)\left(x-3\right)

Thus, factorizing the expression such as:

x^2-5x+6=\left(x-2\right)\left(x-3\right)      

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2 years ago
the diameter of a cylindrical construction pipe is 4 ft. if the pipe is 19 ft long, what s it’s volume?
STALIN [3.7K]

Answer:

76\pi or 238.76 units^{3}

Step-by-step explanation:

The volume of a cylinder is V = \pi r^{2} h

Here the radius is  r = \frac{1}{2} d = \frac{1}{2}(4)=2

The height is given as 19 ft

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4 0
3 years ago
Question 13
charle [14.2K]

The amount to be invested today so as to have $12,500 in 12 years is  $6,480.37.

The amount that would be in my account in 13 years is $44,707.37.

The amount I need to deposit now is $546.64.

<h3>How much should be invested today?</h3>

The amount to be invested today = future value / (1 + r)^nm

Where:

  • r = interest rate = 5.5 / 365 = 0.015%
  • m = number of compounding = 365
  • n = number of years  = 12

12500 / (1.00015)^(12 x 365) = $6,480.37

<h3>What is the future value of the account at the end of 13 years?</h3>

Future value = monthly deposits x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

  • r = interest rate = 5.3 / 12 = 0.44%
  • n = 13 x 12 = 156

200 x [{(1.0044^156) - 1} / 0.0044] = $44,707.37

<h3>What should be the monthly deposit?</h3>

Monthly deposit = future value / annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

  • r = 6.7 / 12 = 0.56%
  • n = 2 x 12 = 24

$14,000 / [{(1.0056^24) - 1} / 0.0056] = $546.64

To learn more about annuities, please check: brainly.com/question/24108530

#SPJ1

4 0
2 years ago
Find -1/5 + (-3/5) in simplest form​
guapka [62]

Answer:  -0.8 or -4/5

Step-by-step explanation:

1/5 + 3/5 = 4/5 and u put the negatives so its -4/5. HOPE THIS HELPS :3 !!!!

6 0
3 years ago
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