Answer:
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Step-by-step explanation:
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<u>Given</u>:
The height of the bird at time t is given by the function
We need to determine the time it takes the worm to be eaten by the bird.
<u>Time taken:</u>
The time can be determined by substituting h(t) = 0 in the function.
Thus, we have;
Switch sides, we get;
Let us solve the equation using the quadratic formula.
Thus, we get;
Simplifying, we get;
The values of t are given by
and
and
and
Since, the value of t cannot be negative, then
Thus, the time taken by the bird to eat the worm is seconds.
Hence, Option B is the correct answer.
In the expression, the real number a equals 12 and the real number b equals -16.
<h3>How to explain the information?</h3>
It should be noted that the expression given is:
= (4 - 2i)²
Therefore, we need to expand the expression. This will be:
= (4 - 2i)(4 - 2i)
= 16 -8i -8i + 4i²
= 16 -16i +4i²
Substitute -1 for i²
= 16 - 16i + 4(-1)
= 16 - 16i - 4
= 12 - 16i
Therefore, the value of the expression is 12 - 16i.
Learn more about expressions on:
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Evaluate the expression ( 4 − 2 i )² and write the result in the form a + b i.
Fill the 5-liter container, pour water from that into the 3 liter container until that is full, You will now have 2 liters left in the 5 liter container.
Empty the 3-liter container, and then transfer the 2 liters from the 5-liter container into it.
Now fill the 5-liter container again, then pour water carefully from the 5-liter container into the 3-liter container until it is full - exactly one more liter.
The 5-liter container now has 4 liters in it.