<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.
Given:
First term of an arithmetic sequence = 5
Second term = 3
To find:
The explicit formula for the given arithmetic sequence.
Solution:
We have,
First term: 
Second term: 
Common difference is
Now, the explicit formula for an arithmetic sequence is
where, a is first term and d is common difference.
Putting a=5 and d=-2, we get
It can also be written as
Here, n is an integer greater than or equal to 1.
Domain is the set of input values.
Therefore, the explicit equation is or and domain is all interest greater than or equal to 1.
The rate of the cups of vinegar per tablespoon of lemon oil is two per tablespoon rates in cups
John walks 0.6 miles in 1 hour.
Step-by-step explanation:
Distance walked by John = 3 miles
Time period = 5 hours
5 hours = 3 miles
Unit rate is the ratio of two measurements, in which one measurement is one, therefore,
1 hour = 
John walks 0.6 miles in 1 hour.
Keywords: ratio, distance
Learn more about distances at:
#LearnwithBrainly
Answer:
x = 1/8
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
