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2 years ago

How do you estimate 31.9 divided by 4

Mathematics

2 answers:

never [62]2 years ago

6 0

Round 31.9 up to 32 so you can divide it by 4 to get about 8.

Ksenya-84 [330]2 years ago

5 0

Round 31.9 to a whole number, which is 32. Then divide 32 by 4 to get 8

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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,

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

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2 years ago

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Keith_Richards [23]

4 cans. 12 tennis balls.

6 0

3 years ago

The wheels on a car have a diameter of 28 inches. How many full

Lorico [155]

Answer:

Step-by-step explanation

14 is the radius so multiply by pi to get 87.96

then turn 200 fee into in which is 2400in

and divide 2400 by 87.96

7 0

2 years ago

Write the equation of the line that passes through the points (6,2) (4,1)

Alisiya [41]

Answer: y=1/2x-1

Step-by-step explanation:

To find the equation of the line that passes through the points, we need to find out slope, m.

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

We plug our points into this formula to find slope.

$m=\frac{1-2}{4-6} =\frac{-1}{-2} =\frac{1}{2}$

Our slope is 1/2. To find our y-intercept, b, we would plug any point into the equation for slope-intercept form.

y=mx+b

y=1/2x+b

1=1/2(4)+b

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Now that we know b, our equation is y=1/2x-1.

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2 years ago

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Nat2105 [25]

Answer:

Step-by-step explanation:

The linear equation where:

$\large \boldsymbol {} \sf y=\underbrace{m}_{slope }x \ +\underbrace{b} _{y -intersept}$

Solution :

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4 0

2 years ago