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Alex Ar [27]
3 years ago
9

What is the GCF of 48x4 and 44x5

Mathematics
1 answer:
zepelin [54]3 years ago
8 0
The GCF would be : 4x^4
You might be interested in
In how many ways can you seat 5 women and 5 men in a row if women must seat next to each other,men must seat next to each other,
makvit [3.9K]

Answer: 288ways

Step-by-step explanation:

There are 5men and 5women to be arranged, since the men must seat together, they will be arranged in 5! ways. For the women, since they must also seat together but with siamese twins between them, they can be arranged in 4! ways instead of 5! ways and this is due to presence of the twins among them.

Note that Siamese twins cannot be separated as such both are taken as one making it 4!.

Since the women and men are always sitting together, they can be arranged in 2! ways i.e 2 sexes

The final seating arrangement can be done in 2!×(5!+4!) ways

= 2× (120+24)

= 2×144

= 288ways.

Note that the arrangement of the men and women are added because they can only be arranged differently to ensure different sex are not sitting together.

8 0
2 years ago
Use the binomial expansion and approximation to find √3​
belka [17]

According to the use of binomial expansion, the approximate value of √3 is found by applying the infinite sum √3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...

An acceptable result cannot be found manually for it requires a <em>high</em> number of elements, with the help of a solver we find that the <em>approximate</em> value of √3 is 1.732.  

<h3>How to approximate the value of a irrational number by binomial theorem</h3>

Binomial theorem offers a formula to find the <em>analytical</em> form of the power of a binomial of the form (a + b)ⁿ:

(a + b)^{n} = \sum \limits_{k = 0}^{n} \left(\begin{array}{c}n\\k\end{array}\right)\cdot a^{n-k} \cdot b^{k}     (1)

Where:

  • a, b - Constants of the binomial.
  • n - Grade of the power binomial.
  • k - Index of the k-th element of the power binomial.

If we know that a = 1, b = 2 and n = 1 / 2, then an approximate expression for the square root is:

√3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...

To learn more on binomial expansions: brainly.com/question/12249986

#SPJ1

8 0
1 year ago
Plot the points (2, 4) and (2, -8) on the coordinate plane below.
bazaltina [42]
They are 12 units apart
3 0
3 years ago
Round 45,621 to the nearest hundred.
Schach [20]

Answer:

The answer is 45600 as 621 is less than 650 and should be rounded down.

4 0
2 years ago
Read 2 more answers
Cuanto es 120% en fraccion
kow [346]
The answer is 6/5 (six over five) 100 divided by 20
4 0
2 years ago
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