If the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.
Given that the speed of the ball after kicking is 48 feet per second and the function that represents the height of the ball is .
We are required to find the time that the ball took to travel before returning the ground.
We know that speed is the distance a thing covers in a particular time period.
The height of the ball after t seconds is as follows:
h(t)=
It is at ground at the instants of t.
Hence,
=0
-16t(t-3)=0
We want value of t different of 0, hence :
t-3=0
t=3.
Hence if the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.
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Answer: 2/25
Step-by-step explanation: Since we are replacing the marbles, these two events are independent which means that the outcome of the first does not affect the outcome of the second.
First find the probability of selecting a blue marble.
There are 2 favorable outcomes, the blue marbles,
and 10 possible outcomes, all the marbles in the bag.
So the probability of selecting a blue marble is 2/10 or 1/5.
<em>Always reduce when finding probability</em>
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Now we find the probability of selecting a green marble.
There are 4 green marbles and 10 total so the probability of
selecting a green marble is 4/10 or 2/5.
Now we multiply the probabilities.
So we have 1/5 x 2/5 or 2/25.
Answer: 36 years
Step-by-step explanation:
Here, the current population of the animal is 1400,
And, the population of an endangered animal by 8% per year.
Also, Further suppose that when the population of this animal falls below 70, its extinction is inevitable.
Let after x years the population of animal falls below 70,
Therefore,
⇒
⇒
⇒
⇒
⇒x>35.9279739462
Thus, after 36 years( Approx) the population of the animal will be fall towards 70.