All categories

3 years ago

The body needs fat for_______.

Advanced Placement (AP)

2 answers:

Contact [7]3 years ago

6 0

The body needs fat for I think it’s D lol

34kurt3 years ago

6 0

I think the answer is c

You might be interested in

Name an artist that helped pioneer Country Gospel

Montano1993 [528]

Sister Rosetta
Kirk Franklin

5 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!

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

Did Thomas Jefferson see the Missouri compromise a success

max2010maxim [7]

When Thomas Jefferson referred to the Missouri Compromise he described it as “ fire bell in the night”. This is because he saw it as a pressing matter and he saw this as an emergency since a fire bell at night indicates that there is an emergency.

Hope this helps! :3

5 0

4 years ago

This is a riddle... when does 12=1???

ololo11 [35]

12 inches=1 foot is the answer I believe.

7 0

3 years ago

Read 2 more answers

In the third sentence of the third paragraph, the phrase “however volatile” primarily serves to

Natasha2012 [34]

Answer:

E. strengthen a claim by indicating that it applies even to exceptional cases

Explanation:

Answer E

Correct. In this sentence, the author makes the claim that melancholy can make one’s imagination “torpid” (sluggish), and that lack of appropriate occasions can prevent the mind from coming up with “sallies and excursions” (clever remarks). He strengthens the claim by extending it to the most exceptional cases when he indicates that it applies to any mind “however volatile,” that is, even to those that are normally the liveliest and most wide-ranging.

6 0

3 years ago

Read 2 more answers