<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:
The answer will be D!
Step-by-step explanation:
First, let's find the value of X:
2x + 4x + 3x = 81
9x = 81
x = 9
Then, multiply it by the biggest side which is 4:
9 x 4 = 36
<u>Answer:</u>
<em>First Equation → </em><u><em>y = 21/4</em></u>
<em>Second Equation → </em><u><em>x = -1/57</em></u>
<u />
<u>Explanation:</u>
<em>solving equation #1</em>
<em></em>
step 1 - simplify
<em></em>

step 3 - multiply each side of the equation by six

step 4 - add three to both sides of the equation.

step 5 - add three y to both sides of the equation.

step 6 - simplify

step 7 - divide both sides of the equation by four

Therefore, the solution to the first given equation is <u><em>y = 21/4 </em></u><em>or y = 5.25.</em>
<u><em /></u>
<em>solving equation #2</em>
<em />
step 1 - simplify.

step 2 - multiply each side of the equation by five.

step 3 - subtract twenty x from each side of the equation.

step 4 - divide each side of the equation by negative nineteen.

step 5 - switch

Therefore, the solution to the second equation is <em><u>x = -1/57.</u></em>
4)
12/16=21/b
multiply both sides by b
(12/16)b=21
now multiple both sides by (16/12)
b = 21 (16/12) =28
5)
rate is distance / time or time/distance
train travels 279 km per 1.5 hr =270/1.5
or
1.5 hr per 270 =1.5/27p
answer choice a and c matches that.
looking at choice C...270km/1.5hr=5hr/270km
looking at choice A.. 1.5hr/270km=5hr/k km
the units don't match for choice C so the
right answer is A
6)
1.5/270=5/k
multiply both sides by k
(1.5/270)k=21
now multiple both sides by (270/1.5)
k = (270/1.5)21= 900
7) 75 points per 6 game
75 points / 6 games
75/6=P/20
multiply both sides by 20
(75/6)20=P
P=250
Answer:
36.82 or just 36/37 depending on how the question wants you to round
Step-by-step explanation:
Formula: V = (pi)x(radius squared) x (height)
2.5 x 3 = 7.5 (the height)
2.5 divided by 2 (to get the radius) = 1.25
add that all back into the formula:
V = (3.14) x (1.25)squared x (7.5) = 36.82
Google has some good formula solvers if you search them :thumbsup: