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3 years ago

Evaluate the expression 14c5

1 answer:

kramer3 years ago

4 0

If you are looking for the possible combinations in that equation, you’ll have to use the combination formula which is n factorial over r factorial

So in the problem, there are 14 possible combinations

5

It is computed by

14! = 14*13*12*11*10 divided by

5! = 5*4*3*2*1

So the answer is there are 2002 possible combinations

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Can someone please help me I don’t understand this pleaseeeeeeee:( thanks Find the area of this shape:

Alla [95]

i think i am wrong but 22 in. square

5 0

3 years ago

Write the first five terms of the recursively defined sequence. a1 = 6, ak 1 = 1 3 ak2

vova2212 [387]

The first five terms of the recursively defined sequence are 6, 12, 48, 768, 196608

For given question,

We have been given the recursive formula of a sequence.

$a_{k+1}=\frac{1}{3}{a_k}^2$

Also, the first term of the sequence is,

a1 = 6

Substitute k = 1 in given recursive formula.

⇒ $a_{1+1}=\frac{1}{3}{a_1}^2$

⇒ a2 = 1/3 (6)²

⇒ a2 = (1/3) × 36

⇒ a2 = 12

Substitute k = 2 in given recursive formula.

⇒ $a_{2+1}=\frac{1}{3}{a_2}^2$

⇒ a3 = (1/3) × (12)²

⇒ a3 = (1/3) × 144

⇒ a3 = 48

Substitute k = 3 in given recursive formula.

⇒ $a_{3+1}=\frac{1}{3}{a_3}^2$

⇒ a4 = (1/3) × (48)²

⇒ a4 = (1/3) × 2304

⇒ a4 = 768

Substitute k = 4 in given recursive formula.

⇒ $a_{4+1}=\frac{1}{3}{a_4}^2$

⇒ a5 = (1/3) × (768)²

⇒ a5 = (1/3) × 589824

⇒ a5 = 196608

Therefore, the first five terms of the recursively defined sequence are 6, 12, 48, 768, 196608

Learn more about the recursive formula of sequence here:

brainly.com/question/14457800

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7 0

1 year ago

Does someone know the answer?

Drupady [299]

Answer:

i do not

know the awnser but c would be 720 multiplied by its self 3 times the converted

Step-by-step explanation:

8 0

3 years ago

find the volume of a rectangular prism if the length is 3x^2, the width is 2xand the height is x^2+3x+5

nevsk [136]

You are given the length of a rectangular prism of 3x^2, width of 2x and height of x^2 + 3x +5. You are required to find the volume of a rectangular prism. Using the equation V = l x w x h, we multiply the three dimensions.

V = l x w x h

V = (3x^2)(2x)( x^2 + 3x +5)

V = 2x (3x^4 + 9x^3 + 15x^2)

V = 6x^5 + 18x^4 + 30x^3

The volume of the rectangular prism is 6x^5 + 18x^4 + 30x^3.

3 0

3 years ago

David is making a wall out of bricks. Each brick is 2/3 foot long. There are 20 bricks lined up end to end to make the wall. Wha

Law Incorporation [45]

The total length of wall is 160 inches

Solution:

Given that,

$Length\ of\ each\ brick = \frac{2}{3}\ foot$

1 feet = 12 inches

Therefore,

$Length\ of\ each\ brick = \frac{2}{3} \times 12\ inches = 8\ inches$

There are 20 bricks lined up end to end to make the wall

To find: Total length of wall in inches

$Total\ length\ of\ wall = \text{length of each brick } \times \text{ total number of bricks}$

Thus we get,

$Total\ length\ of\ wall = 8 \times 20\\\\Total\ length\ of\ wall = 160\ inches$

Thus total length of wall is 160 inches

8 0

3 years ago