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2 years ago

CERT members should always wear complete safety equipment including

Advanced Placement (AP)

1 answer:

iogann1982 [59]2 years ago

4 0

Answer:

Sturdy shoes, goggles, a safety helmet, work gloves, and N95 filter mask.

I hope this helps.

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¿Qué es una hipótesis? O A. La tecnología utilizada en un experimento. B. Una conclusión sobre los resultados de un experimento,

lesantik [10]

La respuesta es:

RE. Una suposición fundamentada de la respuesta a una pregunta

8 0

3 years ago

The Madisonian model of government was based upon all of the following except:

Sholpan [36]

Im pretty sure its d

6 0

2 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

1 year ago

Assume that a country's economy is in a short-run

Burka [1]

Answer:

(you have to copy and paste into the browser and I had to space out so brainly would let me post I hope you do well on the assignment)

Explanation:

h t t p s : / / w w w . y o u t u b e . c o m / w a t c h ? v = d Q w 4 w 9 W g X c Q

3 0

2 years ago

Read 2 more answers

Use this piecewise function that gives the rate, r(t), in gallons per hour, at which a pool is being filled with water at

Dennis_Churaev [7]

Answer:

The correct answer is "4500".

Explanation:

As per the question,

Total galloons of water will be:

= $\int_{0}^{2}250 t \ dt+\int_{2}^{10}500 \ dt$

= $250(\frac{t^2}{2} )^2_0+500(t)^{10}_2$

= $125(4-0)+500(8-2)$

= $125(4)+500(6)$

= $500+4000$

= $4500$

Thus the above is the appropriate option.

6 0

2 years ago

Read 2 more answers