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When driving in the inside lane of a curve, excessive centrifugal force will pull you __________.

Reptile [31]

Answer: The answer is A

Explanation: This is because when driving gives you force and you all the sudden acceleration is messes up the force.

6 0

3 years ago

Which of the following refer to just noticeable difference between two stimuli

sleet_krkn [62]

Hi there ..

Can you please type the whole questions ..

I mean is there any options ..?

8 0

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!

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

In a democracy how is rule of law regarded

sp2606 [1]

By the people for the people

3 0

3 years ago

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An electronic cover letter should be _____. a. colorful and flashy b. simple and basic c. long and boring d. messy and brief

Rom4ik [11]

Answer:

b. Simple and basic

Explanation:

Electronic cover letters are just the soft copy of the traditional handwritten cover letters. Mostly cover letters are scanned through equipment before it reaches a hiring manager. Hence it is important to make sure that the equipment has no ambiguity in processing the information provided in the cover letter. Having too much formatting and making it colorful and flashy will leave the scanning equipment confused.

Hence the electronic cover letter should be simple and basic.

3 0

4 years ago

Read 2 more answers