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Paul [167]
2 years ago
15

Find the area of the region that lies inside both curves. r = 3+2cose, r = 3-2cose

Mathematics
1 answer:
Kitty [74]2 years ago
6 0

https://socratic.org/questions/how-do-you-find-the-area-of-the-region-bounded-by-the-polar-curves-r-3-2cos-thet#112305

go to link for the answer

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A population of bacteria begins with 1500 bacteria and grows to 4500 in one hour.
dezoksy [38]

The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)

<h3>How to calculate Exponential Growth?</h3>

The formula for exponential growth is;

P = P₀e^(rt)

where;

P = current population at time t

P₀ = starting population

r = rate of exponential growth/decay

t = time after start

Thus, from our question we have;

4500 = 1500 * e^(r * 1)

4500/1500 = e^r

e^r = 3

In 3 = r

r = 1.0986

Thus, the function that represents the growth of this culture of bacteria as a function of time is;

P = 1500e^(1.0986t)

For the culture to double, then;

P/P₀ = 2. Thus;

e^(1.0986t) = 2

In 2 = 1.0986t

t = 0.6931/1.0986

t = 0.631 hours

Read more about Exponential Growth at; brainly.com/question/27161222

#SPJ1

4 0
2 years ago
A triangle has an area that is 125 m2. The measure of the base is 20 m so, h = ? m.
wolverine [178]

Answer:

12.5

Step-by-step explanation:

12.5 multiplied by 20 is 250 which you divide by 2 to get the area. it plugs in to the triangle area formula which is 1/2 base times height.

5 0
3 years ago
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Describe one way that a cube and a cylinder are alike
Travka [436]
Both a cube and a cylinder are 3 dimensional objects
7 0
4 years ago
What is a key purpose of using simulation when comparing two populations?
neonofarm [45]

Answer:

B) Observing how probability works with real items

Step-by-step explanation:

Just took the quiz

4 0
3 years ago
What would you pay for a $210,000 debenture bond that matures in 15 years and pays $10,500 a year in interest if you wanted to e
Hoochie [10]
<span>Let's say you wanted to earn a yield of 8%. $210,000 x .31524 = $66, 200.4 +$10,500 x 8.55948 = $89, 874.54 Use the tables to find .31524 (which is 8% @ 15 periods for present value of 1) and 8.55948 (which is 8% @ 15 periods for present value of an ordinary annuity of 1) You would pay a total of $156, 074.94</span>
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3 years ago
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