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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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A Park ranger tags 100 animals. Use a proportion to estimate the total population for each sample.
7nadin3 [17]

Answer:

It is given that A Park ranger tags 100 animals.

This means the proportion of animals tagged= \dfrac{100}{x}

where 'x' represents the total population of animals.

We have to find total number of animals in each parts.

1)

23 out of 100 animals are tagged.

That means the proportion of animals tagged= \dfrac{23}{100}

Now we know that the proportion must be equal.

 \dfrac{23}{100}=\dfrac{100}{x}

⇒ x=\dfrac{100\times 100}{23}=434.783

which is approximately equal to 435.

Hence, the total population =435.

3)

8 out of 116 animals are tagged

That means the proportion of animals tagged= \dfrac{8}{116}

Now we know that the proportion must be equal.

 \dfrac{8}{116}=\dfrac{100}{x}

x=\dfrac{100\times 116}{8}\\\\x=\dfrac{11600}{8}=1450

which is approximately equal to 1450

Hence, the total population =1450.

4)

5 out of 63 animals are tagged

That means the proportion of animals tagged= \dfrac{5}{63}

Now we know that the proportion must be equal.

 \dfrac{5}{63}=\dfrac{100}{x}

x=1260

Hence, the total population =1260.

5)

4 out of 83 animals are tagged

That means the proportion of animals tagged= \dfrac{4}{83}

Now we know that the proportion must be equal.

 \dfrac{4}{83}=\dfrac{100}{x}

x=\dfrac{100\times 83}{4}\\\\x=2075

Hence, the total population =2075.

6)

3 out 121 animals are tagged

That means the proportion of animals tagged= \dfrac{3}{121}

Now we know that the proportion must be equal.

 \dfrac{3}{121}=\dfrac{100}{x}

x=\dfrac{100\times 121}{3}\\\\x=4033.33

Hence, the total population =4033.

7)

83 out of 125 animals are tagged

That means the proportion of animals tagged= \dfrac{83}{125}

Now we know that the proportion must be equal.

 \dfrac{83}{125}=\dfrac{100}{x}

x=\dfrac{100\times 125}{83}\\\\x=150.6024

Hence, the total population =151.

8)

7 out 165 animals are tagged

That means the proportion of animals tagged= \dfrac{7}{165}

Now we know that the proportion must be equal.

 \dfrac{7}{165}=\dfrac{100}{x}

x=\dfrac{100\times 165}{7}\\\\x=2357.143

Hence, the total population =2357.

7 0
3 years ago
A woman rides a bicycle for 1 hour and travels 12 kilometers. Find the angular velocity of the wheel if the radius
Korolek [52]

14.81 radians/second

Step-by-step explanation:

3 0
2 years ago
Suppose whale sharks are spotted in a rectangular area off the coast of Australia. If the dimensions of this location measure 40
nydimaria [60]

Answer:

2400 miles²

Step-by-step explanation:

Given that:

Area off the coast is rectangular ;

Dimension of location :40 miles by 66 miles

The area of the location will be : the area of a rectangle ;

The area of a rectangle = Length * width

Area = 40 miles * 60 miles

Area = 2400 miles²

5 0
2 years ago
I give ten points and brainliest if you say hi
patriot [66]

Answer:

Hi hope you have a wonderful and blessed day!!!!

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Add 7/10 + 1/6 enter your answer below as a fraction in lowest terms, using the slash(/) as the fraction bar
san4es73 [151]

Answer:

13/15

Step-by-step explanation:

pls mark me brainliest

4 0
3 years ago
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