Answer:
y = - 16t² + 55.6t + 6
Step-by-step explanation:
Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football
So y = y₀ + vt - 1/2 × (32 ft/s²)t²
y = y₀ + vt - 16t² where y₀ = 6.5 ft
y = 6 + vt - 16t²
Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have
5 = 6.5 + v(3.5 s) - 16(3.5 s)²
5 = 6.5 + 3.5v - 196
collecting like terms, we have
5 - 6.5 + 196 = 3.5v
194.5 = 3.5v
v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s
So, substituting v into y, our quadratic model is
y = 6 + 55.6t - 16t²
re-arranging, we have
y = - 16t² + 55.6t + 6
Th=Ukn
Ts=27
Fh=5
Fs=4.5
x/27=5/4.5
x=30
The tree is 30 feet tall.
Answer:
The chronological age is 30 years
Step-by-step explanation:
Q= (kM)/C
132= (22k)/ 25
3300= 22k
k= 150
Q= (150M)/C
100= (150 x 20)/C
100= 3000/C
100C= 3000
C= 30
brainliest pls
Answer:
$525
Step-by-step explanation:
We can find the original price by using the formula x - 0.36x = 336, where x is the original price, 0.36 is the discount percentage (converted to decimal form), and 336 is the total amount paid after the discount is applied:
To check and further understand why the formula works, we can simply apply the discount to the original price and subtract the number from the original price:
525 * 0.36 = 189
525 - 189 = 336
Modeling the first formula gives us:
525 - (0.36 * 525) = 336
525 - 189 = 336
204,000 grapefruit.
There are 10 grapefruit in each box and there are 20,400 boxes; you need to multiply the number of grapefruits in each box (10) times the number of boxes (20,400)
10x20,400=204,000
Don't forget the units! In this problem, the units are grapefruit.
