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3 years ago

What causes ocean tides to reach higher up on a shore at certain times of day than at others?

Advanced Placement (AP)

2 answers:

hichkok12 [17]3 years ago

7 0

The answer is gravity

Kaylis [27]3 years ago

5 0

The gravitational attraction of the moon causes the oceans to bulge out in the direction of the moon. Another bulge occurs on the opposite side, since the Earth is also being pulled toward the moon. Since the earth is rotating while this is happening, two tides occur each day.

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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 NET DECREASE 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.

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

8 0

1 year ago

Reasons why school is a formal organization

kramer

Answer:

The school is defined as one of the most important- formal agency of education which plays a major role in moulding the ideas, habits and attitudes of a child with a view to produce well balanced personalities: physically strong, mentally alert, emotionally stable, culturally sound and socially efficient.

I hope it's helpful!

7 0

2 years ago

In which stage of the fashion life cycle is the garment?

FrozenT [24]

Answer:style

Explanation:

Fashion cycle – a period of time or life span during which the fashion exists, moving through the five stages from introduction through obsolescence

8 0

2 years ago

A student who earns a "well qualified" score on an AP exam would receive a _____.

frosja888 [35]

A student who earns a "well qualified" score on an AP exam would receive a four.

AP exam scores range is from 1 to 5.

5 0

2 years ago

Read 2 more answers

Which are two features of a bond

BARSIC [14]

Answer:

1.Strong attraction between two or more atoms.

2.Hold atoms in molecules and crystals together.

Explanation:

Hope this help you...

8 0

2 years ago