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
Answer:
4
Step-by-step explanation:
7(2m+3)-5m=2(4m+8)+9
14m+21-5m=8m+16+9
14m-5m-8m+21=16+9
9m-8m+21=25
m+21=25
m=25-21
m=4
The other leg would be 22.5 inches so the second option
Answer:
the total amount spent is $31.68
Step-by-step explanation:
The computation of total amount spent as follows:
= 1.4 pounds × $9.15 + 0.8 pounds × $10.75 + 2.6 pounds × $3.95
= $12.81 + $8.6 + $10.27
= $31.68
hence, the total amount spent is $31.68
We simply apply the pounds with its price
