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Otrada [13]
3 years ago
14

What is the definition of exponential decay?

Mathematics
2 answers:
Alex787 [66]3 years ago
6 0
The answer is c because When a population or group of something is declining, and the amount that decreases is proportional to the size of the population, it's called exponential decay. And it is the closest definition
Helen [10]3 years ago
5 0

Answer: The answer Is c because that's the closest the definition closest to that

Step-by-step explanation:

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During one month there Were seven days of precipitation what if there had only been three days of precipitation that money how w
mart [117]
We've hit on a case where a measure of center does not provide all the information  spread or variability there is in month-to-month precipitation.  based on how busy each month has been in the past, lets managers plan

5 0
3 years ago
Find the area. The figure is not drawn to scale
poizon [28]

Answer:

96 square inches.

Step-by-step explanation:

From given picture we see that

BC=8 in

AD=10 in

Given that

AD=AB

Then AB=10 in

Apply Pythagorean theorem in triangle ABC to find AC

(hypotenuse)^2=(base)^2+(perpendicular)^2

(AB)^2=(BC)^2+(AC)^2

(10)^2=(8)^2+(AC)^2

100=64+(AC)^2

100-64=(AC)^2

36=(AC)^2

take square root

6=AC

Then area of triangle ABC =\frac{1}{2}\left(base\right)\left(altitude\right)

=\frac{1}{2}\left(8\right)\left(6\right)=24

There are total 4 congruent triangles.

Then total area of the given figure = 4(24)=96 square inches.

7 0
3 years ago
Use the formula, I = PRT, to find the time if | = $387.50, P = $1,550, and R = 12.5%
stiks02 [169]

Answer:

T = 2

Step-by-step explanation:

Take the given formulaer

I = PRT

And plug in the variables you know (I, P, R)

387.50 = 1,550(.125)T

(12.5% becomes .125 after you divide it by 100, because precents are really just fractions out of 100)

387.50 = 193.75T

T = 2

8 0
2 years ago
Uninhibited growth can be modeled by exponential functions other than​ A(t) ​=Upper A 0 e Superscript kt. For ​ example, if an i
laila [671]

The question is incomplete. Here is the complete question.

Uninhibited growth can be modeled by exponential functions other than A(t)=A_{0}e^{kt}. for example, if an initial population P₀ requires n units of time to triple, then the function P(t)=P_{0}(3)^{\frac{t}{n} } models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.

a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form P(t)=P_{0}(3)^{\frac{t}{n} } that models the population.

b) What will the population be in 47 days?

c) When wil the population reach 750?

d) Express the model from part (a) in the form A(t)=A_{0}e^{kt}.

Answer: a) P(t)=50(3)^{\frac{t}{30} }

              b) P(t) = 280 insects

              c) t = 74 days

             d) A(t)=50e^{0.037t}

Step-by-step explanation:

a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is

P(t)=50(3)^{\frac{t}{30} }

b) In t = 47 days:

P(t)=50(3)^{\frac{t}{30} }

P(47)=50(3)^{\frac{47}{30} }

P(47)=50(3)^{1.567}

P(47) = 280

In 47 days, population of insects will be 280

c) P(t) = 750

750=50(3)^{\frac{t}{30} }

\frac{750}{50}=(3)^{\frac{t}{30} }

(3)^{\frac{t}{n} }=15

Using the property <u>Power</u> <u>Rule</u> of logarithm:

log(3)^{\frac{t}{30} }=log15

\frac{t}{30}log(3)=log15

t=\frac{log15}{log3} .30

t = 74

To reach a population of 750 insects, it will take 74 days

d) To express the population growth into the described form, determine the constant k, using the following:

A(t) = 3A₀ and t = 30

A(t)=A_{0}e^{kt}

3A_{0}=A_{0}e^{30k}

3=e^{30k}

Use Power Rule again:

ln3=ln(e^{30k})

ln3=30k

k=\frac{ln3}{30}

k = 0.037

Equation for exponential growth will be:

A(t)=50e^{0.037t}

3 0
3 years ago
What is 2/r=12/18?<br> Chcjcjxjxkxkx
Alexeev081 [22]

Answer: r = 3

Step-by-step explanation:

Step 1: Cross-multiply.

2r = 12/18

(2)*(18)=12*r

36=12r

Step 2: Flip the equation.

12r=36

Step 3: Divide both sides by 12.

12r/12 = 36/12

r = 3

8 0
3 years ago
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