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Black_prince [1.1K]
3 years ago
13

When making a guess and retesting this information, a theory or ___________ may be formed which explains why something has occur

red or what it may look like?
Mathematics
1 answer:
podryga [215]3 years ago
3 0
Model <span>

When making a guess and retesting this information, a theory or <u>model</u> may be formed which explains why something has occurred or what it may look like. Models are a representation of a certain situations that has occurred. These models can provide and amplify a clearer perception and comprehension of how and what processes are involved in an occurred phenomenon. And by that said, it can change and be modified depending on which factor catalyzed the alterations. </span>  



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Use the following explicit function to identify f(1) &amp; r, and list the first five terms of the sequence.
rjkz [21]

Given:

The explicit function is:

f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}

To find:

f(1)=?,r=? and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

f(n)=ar^{n-1}            ...(i)

Where, a is the first term and r is the common ratio.

We have,

f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}         ...(ii)

On comparing (i) and (ii), we get

a=1000

f(1)=1000

And,

r=\dfrac{1}{4}

For n=1,

f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}

f(1)=1000\left(\dfrac{1}{4}\right)^{0}

f(1)=1000(1)

f(1)=1000

For n=2,

f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}

f(2)=1000\left(\dfrac{1}{4}\right)^{1}

f(2)=1000\times \dfrac{1}{4}

f(2)=250

Similarly, substituting n=3,4,5, we get

f(3)=62.5

f(4)=15.625

f(5)=3.90625

Therefore, f(1)=1000,r=\dfrac{1}{4} and the first five terms are 1000,250,62.5,15.625,3.90625.

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3 years ago
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ABCD is a parallelogram. Find the measure of ZB.
Korolek [52]

Answer:

121°

Step-by-step explanation:

<B = 9x - 5°

<D = 10x - 19°

<B = <D ( being opposite angles of parallelogram)

9x - 5° = 10x - 19°

10x - 9x = 19° - 5°

x = 14°

Now

<B = 9x - 5°

= 9 * 14° - 5

= 121°

6 0
2 years ago
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