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3 years ago

What does Lucy remember to do when she goes inside the wardrobe?

Advanced Placement (AP)

1 answer:

Tasya [4]3 years ago

7 0

A.
to be quiet so the housekeeper does not catch her i think

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You are given a steak. how cooked do you want it?

iris [78.8K]

Medium rare it got to have juice in it

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3 years ago

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.

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2 years ago

The process of accepting jesus as your savior has three steps. what are they?

grandymaker [24]

Answer:

Salvation doesn't come from our good deeds or by doing anything special, it's a free gift from God just because He loves us so much. We need to turn away from our sins, believe that Jesus is God's Son and our Savior, and submit to Him as Lord of our lives. By doing so, we receive salvation and eternal life.

Explanation:

please consider as brainlest

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2 years ago

A crocodile ate my shoes

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Answer: Spiderman

Explanation: The raccoon man said so

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3 years ago

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A country in stage 4 is most likely to experience a shortage of

Artist 52 [7]

The answer is definitely A. Houses. Basing on the Demographic Transition Model (DTM), countries categorized under stage 4 are said to have a stabilized population growth in other words birth and death rates are merely low. But still gradually on increasing number. As total population increases, housing now becomes insufficient. Examples of Stage 4 countries: Brazil, China, Argentina, Singapore, U.S.

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3 years ago