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Lelu [443]
3 years ago
15

Knowing that this number, the Golden Ratio, is present not just in mathematics, but may also be present within your own brain an

d body (at the atomic or subatomic level), what do you think it means? Is this number evidence of a grand design, a massive freak coincidence or something else?
Mathematics
1 answer:
pychu [463]3 years ago
5 0

The Golden Ratio is a mathematical relationship that exists in art, shapes, nature and the human body. The golden ratio can be present in your body, from the length of your arms and legs when compared to your torso. Fingers is another example because the length of our fingers, each section from the tip of the base to the wrist is larger than the preceding.

The measurement of the human navel to the floor and to the top of the head to the navel is also the Golden ratio. Plastic surgeons and dental surgeons use it to reconstruct the human face. It also appears in everything around us like in the nature and science. It appears on in flower petals because it is believed that each petal is placed to so that each petal gets the best exposure to sunlight. Dolphins, starfish, sea urchins and honeybees also exhibit the proportion like humans. DNA molecules measures 34 angstroms by 21 angstroms at each full cycle of the double helix spiral, these two number are successive numbers. I think that the Golden Ratio is just a freak coincidence that happened.

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WILL GIVE BRAINLIEST!! 2) Match the graph with its function. Which is an example of growth/decay?
Neporo4naja [7]

The exponential growth is: f(x) = 15*(1.25)^x

And its graph is the first one.

The exponential decay is: f(x) = 250*(0.87)^x

And its graph is the second one.

<h3>How to identify the exponential equations?</h3>

The general exponential equation is of the form:

y = A*(b)^x

Where A is the initial value and b is the base.

  • If b > 1, then we have an exponential growth.
  • if 1 > b > 0, then we have an exponential decay.

Here the two functions are:

f(x) = 250*(0.87)^x

f(x) = 15*(1.25)^x

As you can see, the base for the first one is smaller than 1, then it is an exponential decay (and it has a decreasing graph, so the graph of this one is the second graph).

For the second function, we have the base b = 1.25, which is larger than 1, so it is an exponential growth, and its graph is an increasing graph, which is the first one.

If you want to learn more about exponential functions:

brainly.com/question/11464095

#SPJ1

6 0
2 years ago
Many employees screen gpa in addition to a variety of skills. Suppose a student is in the last semester of college and has a 2.6
wel

Answer:

  • Overall GPA=2.81
  • It is not possible to get his GPA to 3.0 for graduation.

Step-by-step explanation:

The Student already has a GPA of 2.68 after 108 credit hours.

If he is taking 12 credit hours in his last semester and gets a perfect 4.0 GPA

Total Credits Earned Before = 2.68 X 108=2894.4

Projected Credit to be earned = 12 X 4= 48 Credits

Total credit Hour= 108+12=120 Hours

His Cumulative GPA = Total credits earned ÷ Total Credit Hour

=\frac{2894.4+48}{120} =2.81

Since 2.81 is less than 3.00, it is not possible to get his GPA to 3.0 for graduation.

3 0
4 years ago
Evaluate A2 for A = -3. -9 -6 6 9
schepotkina [342]
Evaluate A² for A = -3.

(-3)² = (-3) * (-3) = 9

Your answer is 9.

If the question is, however, evaluate A2, which is 2A, for A = -3, then the answer is:

2A = 2(-3) = -6.
5 0
3 years ago
Read 2 more answers
SOMEONE PLS HELP ME WITH THIS: Jack Thomas has an fudge sundae with 450 calories. How long would it take him to burn off the cal
KATRIN_1 [288]

Answer:

It would take him 450 minutes to burn off the calories by sleeping

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can anyone pls help me to solve question 2 f and g and pls provide me a explanation I’m with that questions for three days
zvonat [6]

Answer:

  f)  a[n] = -(-2)^n +2^n

  g)  a[n] = (1/2)((-2)^-n +2^-n)

Step-by-step explanation:

Both of these problems are solved in the same way. The characteristic equation comes from ...

  a[n] -k²·a[n-2] = 0

Using a[n] = r^n, we have ...

  r^n -k²r^(n-2) = 0

  r^(n-2)(r² -k²) = 0

  r² -k² = 0

  r = ±k

  a[n] = p·(-k)^n +q·k^n . . . . . . for some constants p and q

We find p and q from the initial conditions.

__

f) k² = 4, so k = 2.

  a[0] = 0 = p + q

  a[1] = 4 = -2p +2q

Dividing the second equation by 2 and adding the first, we have ...

  2 = 2q

  q = 1

  p = -1

The solution is a[n] = -(-2)^n +2^n.

__

g) k² = 1/4, so k = 1/2.

  a[0] = 1 = p + q

  a[1] = 0 = -p/2 +q/2

Multiplying the first equation by 1/2 and adding the second, we get ...

  1/2 = q

  p = 1 -q = 1/2

Using k = 2^-1, we can write the solution as follows.

The solution is a[n] = (1/2)((-2)^-n +2^-n).

 

5 0
3 years ago
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