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Hoochie [10]
3 years ago
5

If there is 1 child, there can be 0 interactions.

Mathematics
1 answer:
Digiron [165]3 years ago
5 0

Find the differences:

3-0 = 3

9-3 = 6

18-9 = 9

The differences increase by the previous difference plus 3

So 5 kids would have 9+3 = 12  + 18 = 30 interactions.

6 kids: 30-18 = 12 +3 = 15 + 30 = 45 interactions.

7 kids: 15+3 = 18 + 45 = 63 interactions.

8 kids: 18 +3 = 21 + 63 = 84 interactions.

9 kids: 21+3 = 24 + 84 = 108 interactions.


The answer is d. 108

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Evaluate in the order of operations! PEMDAS

Parentheses

Exponents

Multiply/Divide (left to right)

Addition/Subtraction (left to right)

Example: 5 x 2 / 5 + (6 x 3)

1. Evaluate parentheses: 6 x 3 = 18

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3. Add and subtract: 2 + 18 = 20

4. We're done: 20

4 0
3 years ago
Find values that make the sentence correct 1). 6/8=x/12=x/16
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Answer:

x = 9 and 12

Step-by-step explanation:

6/8 = x/12 = x/16

Simplify

3/4 = x/12 = x/16

Multiply 3/4 by 3/3 (does nothing but changes the number)

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3 0
3 years ago
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The side of the base of a square prism is decreasing at a rate of 7 kilometers per minute and the height of the prism is increas
Ber [7]

Answer:

dV = - 5.73*10⁹ m³/s

Step-by-step explanation:

Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?

A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.

The volume of a square prism with base a and height h is given by

V = a²h

When the base and height are changing, we have

dV = 2ah(da/dt) +  a²(dh/dt)

Given

a = 4 Km

h = 9 Km

da/dt = - 7 Km/min

dh/dt = 10 Km/min

we have

dV = 2(4 Km)(9 Km)(- 7 Km/min) +  (4 Km)²(10 Km/min)

⇒   dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min

⇒   dV = - 5.73*10⁹ m³/s

8 0
3 years ago
HELP PLEASEEEEE!!!!!
Gekata [30.6K]
1/3 of 9/5 is 3/5


1/3*9/5 = 9/15 = 3/5


Hope this helps!
3 0
3 years ago
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