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AnnyKZ [126]
3 years ago
15

More points!! Please solve 22 and 23

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0
For the table, we can count the circles that appear in each step of the fractal. The center is a single circle and is step 0. Step 1 sees 4 circles grow off of that one circle. Step 2 sees 4 circles grow off of each of these circles. Therefore the table should be:

Step 0 : 1 circle
Step 1 : 4 circles
Step 2 : 16 circles
Step 3:  64 circles

Using this table, we can solve the second part. This function is exponential growth and each step is a multiple of 4. Therefore, the function is f(x) = 4^x.
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In which of the options below will the number 3 correctly fill in the blank. Select all that apply. A) ___ : 4 = 12 : 16 B) 1 :
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Answer:

A and B

Step-by-step explanation:

Given

List of given options

Required

Which will correctly take 3 to fill the blank

Represent the blanks with x

Option A:

x : 4 = 12 : 16

Convert to fractions

\frac{x}{4} = \frac{12}{16}

Multiply through by 4

4 * \frac{x}{4} = 4 * \frac{12}{16}

x = \frac{48}{16}

x = 3

Option B:

1 : 5= x : 15

Convert to fraction;

\frac{1}{5} = \frac{x}{15}

Multiply through by 15

15 * \frac{1}{5} = \frac{x}{15} * 15

15 * \frac{1}{5} = x

3 = x

x = 3

Option C:

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Convert to fraction

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Option D

15:x = 3:1

Convert to fraction

\frac{15}{x} = \frac{3}{1}

Cross Multiply

3 * x = 15 * 1

3 * x = 15

Divide through by 3

x = 5

From the above calculations.

<em>Option A and B can be filled with 3</em>

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