All categories

3 years ago

( q/p ) + 3p^2 if q=3.5 and p=1

Advanced Placement (AP)

2 answers:

ivann1987 [24]3 years ago

5 0

Answer:

$\frac{q}{p} + 3 {p}^{2} \\ = \frac{3.5}{1} + 3 \times {1}^{2}$

$= 3.5 + 3$

$= 6.5$

faltersainse [42]3 years ago

4 0

Answer:

q/p + 3p^2

= 3.5 /1 + 3 ( 1) ^2

= 3.5 + 3

= 6.5

ANS

You might be interested in

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

Ideal land for agricultural use in the United States is being replaced by

g100num [7]

Answer:

urban developments

Explanation:

4 0

3 years ago

Read 2 more answers

E) what would be the total cost of purchasing the number of shirts needed to use your coupon—after your coupon is applied and a

alexgriva [62]

a = your total price before the coupon and sales tax.

b = your coupon's given discount (for example, 25% off)

c = your discounted total

(a - (ab)) = c

c + (.075c) = your answer.

With some numbers plugged in:

a = 50$, b = -25%

50 - (50 x .25)

50 - 12.5 = 37.50$

37.5 + (37.5 x .075)

37.5 + 2.82* = 40.32$

So you would have to pay $40.32

4 0

3 years ago

Read 2 more answers

Saan nag mumula telang pinya jusi at sinamay

nordsb [41]

What? Is this a serious question?

6 0

3 years ago

What is global life expectancy ? And how did the industrial revolution impact it?

blagie [28]

Answer:

Global life expectancy is the average age that people live to be. This is not a national life expectancy where we look only at one country and is on a global level. The industrial revolution impacted life expectancy by raising wages, living conditions. New technology was invented and many breakthroughs in sanitation were made.

5 0

3 years ago