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4 years ago

HURRY PLEASE HELP ASAPP

Mathematics

2 answers:

Readme [11.4K]4 years ago

7 0

Answer:

it's the 4th one

Step-by-step explanation:

larisa [96]4 years ago

4 0

Answer:

The very last is the right answer

Step-by-step explanation:

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A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

The ordered pair (0,4) is a soultion of which system

Anettt [7]

This question is asking you to substitute 0 for X and 5 for y in both equations. If the right hand value is equal to the left hand value after making the substitution, the answer is "yes". Otherwise, the answer is "no".
Substitute 0 for x and 5 for y in the first equation and then the second equation. Since 0 + 5 = 5 and -5*0 + 2*5 = 10 the answer

5 0

3 years ago

Cars with a higher center of gravity are more likely to __________ .

vladimir2022 [97]

Cars with a higher center of gravity are more likely to roll over (B) during a collision.

5 0

4 years ago

Read 2 more answers

I need help with this like badly

Vsevolod [243]

Answer:

I dont know how to do this

4 0

3 years ago

There are currently 4,000 Rhinos left in the world and they are going extinct at a rate of 3.7% each year. How many Rhinos will

cupoosta [38]

Answer:

2744 Rhinos will be left after 10 years

Step-by-step explanation:

This question has to do with exponential decay rate. We solve this using the formula:

P(t) = Po(1 - r)^t

Where P(t) = Amount left after t years

Po = Initial amount

r = Decay rate = 3.7% = 0.037

t = time in years = 10 years

P(t) = 4000(1 - 0.037)¹⁰

P(t) = 4000 × 0.963¹⁰

P(t) = 4000 × 0.6859032667003232

P(t) = 2743.6130668

Approximately = 2744 Rhinos will be left after 10 years

3 0

3 years ago