<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.
Answer:
newton
Step-by-step explanation:
first you have to divide Newtons stickers and get 7, then you divide Descartes stickers and get 6, so therefore Newton has more
Answer: you would have to purchase $1300 of merchandise and the total yearly amount paid to the warehouse for each plan is $1210
Step-by-step explanation:
Let x represent the number of dollars of merchandise that you would have to purchase in a year to pay the same amount under both plans.
Plan A offers an annual membership fee of $300 and you pay 70%, of the manufacturers reccomended list price. This means that the total cost of using plan A would be
300 + 0.7x
Plan B offers an annual membership fee of $40 and you pay 90% of the manufacturers reccomended list price.
This means that the total cost of using plan B would be
40 + 0.9x
For both plans to be the same,
300 + 0.7x = 40 + 0.9x
0.9x - 0.7x = 300 - 40
0.2x = 260
x = $1300
The total yearly amount paid to the warehouse for each plan would be
40 + 0.9 × 1300 = $1210
Step-by-step explanation:
4m =16
divide both sides by 4
m = 4
he has 4 model trains
The inequality is:
x + $488.04 ≥ $500
And the solution is
x ≥ $11.96
<h3>How to write and solve the inequality?</h3>
First, let's define x as the amount that she needs to deposit.
Now, we know that at the moment Evely has $638.54 in her bank account. Then she pays for $638.54, then she writes a check for $159.50, then we need to subtract that:
$638.54 - $159.50 = $488.04
Now she needs to deposit an amount x, such that her balance is at least $500, then we can write the inequality:
x + $488.04 ≥ $500
Solving that for x, we get:
x ≥ $500 - $488.04 = $11.96
She needs to deposit at least $11.96.
If you want to learn more about inequalities:
brainly.com/question/24372553
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