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3 years ago

How are alleles formed?

1 answer:

4 0

They are formed by mutations. Mutations are random changes. The most common one is a base substitution. One base in the sequence of a gene Is replaced by another.

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1. The rate at which people enter a movie theater on a given day is modeled by the function S defined by S(t) = 80 -12 cos 6 The

Arlecino [84]

Hi there!

To find the total amount of people that have ENTERED by t = 20, we must take the integral of the appropriate function.

$\text{Amount that entered} = \int\limits^{20}_{10} {S(t)} \, dt \\\\ = \int\limits^{20}_{10} {80 - 12cos(\frac{t}{5})} \, dt$

Evaluate using a calculator:

$= 899.97 \approx \boxed{900\text{ people}}$

To solve, we can find the total amount of people that have entered of the interval and subtract the total amount of people that have left from this value.

In other terms:
$\text{Amount of people} = \int\limits^{20}_{10} {S(t)} \, dt - \int\limits^{20}_{10} {R(t)} \, dt$

We can evaluate using a calculator (math-9 on T1-84):

$\text{\# of people} = \int\limits^{20}_{10} {80-12cos(\frac{t}{5})} \, dt - \int\limits^{20}_{10} {12e^{\frac{t}{10}}+20} \, dt$

$= 899.97 - 760.49 = 139.47 \approx \boxed{139 \text{ people}}$

If:
$P(t) = \int\limits^t_{10} {S(t) - R(t)} \, dt$

Then:

$\frac{dP}{dt} = P'(t)= \frac{d}{dt}\int\limits^t_{10} {S(t) - R(t)} \, dt = S(t) - R(t)$

Evaluate at t = 20:

$S(20) = 80 - 12cos(\frac{20}{5}) = 87.844\\\\R(20) = 12e^{\frac{20}{10}} + 20 = 108.669$

$S(20) - R(20) = 87.844 - 108.669 = -20.823$

This means that at t = 20, there is a <u>NET DECREASE</u> of people at the movie theater of around 20.823 (21) people per hour.

To find the maximum, we must use the first-derivative test.

Set S(t) - R(t) equal to 0:

$80 - 12cos(\frac{t}{5}) - 12e^{\frac{t}{10}} - 20 = 0\\\\60 - 12(cos(\frac{t}{5}) + e^{\frac{t}{10}})= 0$

Graph the function with a graphing calculator and set the function equal to y = 0:

According to the graph, the graph of the first derivative changes from POSITIVE to NEGATIVE at t ≈ 17.78 hours, so there is a MAXIMUM at this value.

<u>Thus, at t = 17.78 hours, the amount of people at the movie theater is a MAXIMUM.</u>

8 0

2 years ago

Why were the Founding Fathers referred to as “gods”? Do you agree or disagree with this analogy? Why or why not?

ioda

Answer:

Explanation: They wanted to worship and govern themselves in whatever manner they deemed true.

3 0

3 years ago

Paano tinitiyak ng halalan sa pilipinas ang pagiging demokratiko ng bansa?

Vesna [10]

Answer: Ang eleksiyon o halalan (election) ay isang pormal na proseso ng pagpapasiya kung saan ang isang populasyon ay pumipili ng mga indibidwal na hahawak ng isang publikong opisina. Ang mga halalan ang karaniwang mekanismo kung saan ang modernong kinatawan ng demokrasya ay isinasagawa simula ika-17 siglo. Ang mga halalan ay maaaring humalal ng sangay na ehekutibo, mga miyembro ng lehislatura, at minsan ay ng hudikatura gayundin ng mga miyembro ng pangrehiyon at lokal na gobyerno.

HOPE THIS HELPS

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3 years ago

What is the position of most inhabitants of Trans-Dniestria regarding reunification of Moldova and

Crazy boy [7]

Answer:

Explanation:

The unification of Romania and Moldova (Romanian: Unirea Republicii Moldova cu România) is a popular concept in the two countries beginning with the late 1980s, during the collapse of communism. The Romanian Revolution in 1989 and the independence of Moldova in 1991

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3 years ago

Claire sat at a Spanish and French test

pshichka [43]

Answer: They did better in French

Explanation:

spanish 27/32 x 100 is 84%

french 19/21 x 100 is 90%

7 0

3 years ago

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