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Tju [1.3M]
3 years ago
8

The operations of a cell are directed by the:

Advanced Placement (AP)
2 answers:
Finger [1]3 years ago
7 0

Answer:

Ginnesin Rekordlar Kitabı

Explanation:

La la la

seraphim [82]3 years ago
3 0
Nucleus is the Brian of the cell
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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!

a.

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}}

b.

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}}

c.

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.

d.

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
Donna is thinking about buying a house that costs $100,000. If she puts down $20,000 and is able to get a 5 percent mortgage, sh
il63 [147K]

Answer:

monthly cost = 641

Explanation:

Annual mortgage = 0.05×80000

= 4000

Monthly mortgage = 4000/12= 333

Annual average cost of house = 0.0409×100000 = 4090

Monthly average cost of house = 4090/12 = 341

Monthly cost = 333+ 341

= 674

4 0
3 years ago
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Are gateway drugs not as serious as other drugs
garik1379 [7]
Okay so we have gateway drugs, and over the counter drugs. There are more drugs but I'm afraid I don't have enough space. Gateway drugs are the worst, they are what start people off. say you had a friend that took marijuana and then went up to meth. they started off on marijuana, the gateway drug, they got so used to it that it didn't affect them anymore so they up graded. Drugs are always serious not matter the dose you take. I hope this helped
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How do stars near polaris appear to change position during the night
Bezzdna [24]
<span>The stars change position in the sky through the course of the night just like the sun changes position in the sky through the course of a day, they rise in the east and set in the west. If you were to start watching a star in the east at the beginning of the night and keep observing that same star for hours, you will see the star's position move across the sky and eventually drop below the western horizon. There some stars that don't rise and set through the night though. The stars near the celestial pole move in circles around the pole. There is one star in the sky that doesn't appear to move at all, because it is located in line with the Earth's axis of rotation, or in other words, on the celestial pole. This star is Polaris, or more commonly known as the North Star. The south celestial pole currently lacks a star so there is no southern hemisphere counterpart. In reality, Polaris isn't perfectly on the celestial pole so even it moves in a very small circle too small to be seen with the naked eye.</span>
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What type of relationship do two people that work the same job share?
jasenka [17]
The type of relationship they share is a flexible relationship cause they both have or share the same job
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3 years ago
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