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tankabanditka [31]
3 years ago
7

A butterfly population is decreasing at a rate of 0.82% per year. There are currently about 100,000 butterflies in the populatio

n. How many butterflies will there be in the population in 250 years?
Mathematics
1 answer:
spayn [35]3 years ago
5 0

Answer:

  12,765

Step-by-step explanation:

The exponential formula for the population can be written as ...

  population = (initial population)(1 -decay rate)^t

where t is in years, and the decay rate is the loss per year.

The given numbers make this ...

  population = 100,000(0.9918^t)

In 250 years, the population will be about ...

  population = 100,000(0.9918^250) ≈ 12,765.15

There will be about 12,765 butterflies in 250 years.

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The value of 8 in 5.18 of the value of 8 in 5.81
Anastaziya [24]

Answer:

the value of 8 in the first one is 8

in the second one is 80

7 0
2 years ago
A card is selected at random from a deck of cards. What is the probability of randomly selecting a diamond or a 7?
Dominik [7]

Answer:

your answer is 4/13ths. #markasbrainliest

7 0
3 years ago
In the following diagram lines m are n parallel the measures of AEB, BAE and CED are shown what is the measure of EBF
guapka [62]

Answer:

∠ EBF = 98°

Step-by-step explanation:

(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then

3x - 15 = 2x + 10 ( subtract 2x from both sides )

x - 15 = 10 ( add 15 to both sides )

x = 25

3x - 15 = 3(25) - 15 = 75 - 15 = 60°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ EBF is an exterior angle of the triangle , then

∠ EBF = 60° + 38° = 98°

8 0
3 years ago
According to Boyle’s law, PV= K, what was the volume at the time of the first measurement given the following information? Round
Temka [501]
<h2>Hello!</h2>

The answer is:

The first measurement of volume is equal to 835.23 mL.

<h2>Why?</h2>

Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.

So, we Boyle's Law equation states that:

P_{1}V_{1}=P_{2}V_{2}

Where,

P_1=FirstPressure\\V_1=FirstVolume\\P_2=NewPressure\\V_2=NewVolume

Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:

P_{1}V_{1}=P_{2}V_{2}\\\\V_{1}=\frac{P_{2}V_{2}}{P_{1}}

So, substituting the given information and calculating, we have:

V_{1}=\frac{8.59atm*527mL}{5.42atm}

V_{1}=\frac{4526.93atm.mL}{5.42atm}=835.23mL

Hence, the first measurement of volume is equal 835.23 mL.

Have a nice day!

8 0
3 years ago
Solve the inequality <br> 52 - 3x &lt; -14
nata0808 [166]

Answer:

x>22

Step-by-step explanation:

Solve the inequality:

-3x<-14-52

-3x<-66

x>22

( You have to switch the sign because you are dividing by a minus)

6 0
2 years ago
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