Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Answer is <span>A.(0, 1)
because
when x = 0, </span><span>y=a^0 = 1
so (0,1)
hope it helps</span>
Answer:
(a)
(b)5,832 Mosquitoes
(c)5 days
Step-by-step explanation:
(a)Given an original amount 
at t=0. The population of the colony with a growth rate 
, where k is a constant is given as:
(b)If 
and the population after 1 day, N(1)=1800
Then, from our model:
N(1)=1800
Therefore, our model is:
In 3 days time
The population of mosquitoes in 3 days time will be approximately 5832.
(c)If the population N(t)=20,000,we want to determine how many days it takes to attain that value.
From our model
In approximately 5 days, the population of mosquitoes will be 20,000.
The probability that exactly 1 doesn't grow will be 0.07
<h3> What is Probability?</h3>
It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We can use Bernoulli estimation to solve this. P(g) = 0.85, probability of not growing into healthy plant P(n) = 1-P(g) = 1 - 0.85 = 0.15
Using the Bernoulli approximation:
P(n=1)=⁹C₁xP(n)¹.⁵xP(g)⁸.⁵
P(n=1)=9x0.15¹.⁵x0.8⁸.⁵
P(n=1)=0.07
Hence the probability that exactly 1 doesn't grow will be 0.07
Learn more about the probability here:
brainly.com/question/11234923
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