H = -5t^2 +5t + 10
a) t = 0, h = 10 at time 0
b) h = (-5t + 10) ( t + 1)
c) put 0 in for the height and set each factor = to 0 and solve each
0 = (-5t + 10) and 0 = (t + 1)
solve each t = 2 and t = -1, so t = 2 sec is your solution
d) because a parabola is symmetric, the max will be half way between -1 and 2, at t = 1/2
h = -5(1/2)^2 +5(1/2) + 10
h = -5(1/4) + 5/2 +10
h = -5/4 + 5/2 + 10
h = -5/4 + 10/4 + 40/4
h = 45/4
Answer:
im new i dont know how this works
Step-by-step explanation:
The answer is <span>10 units
</span>
The diameter of the cylinder (d) is the twice of its radius (r): d = 2r
The volume (V) of the cylinder with radius r and height h is:
V = π r² h
We have:
d = 2r
r = ?
h = 7
π = 3.14
V = 175π
175π = π * r² * 7
175 = r² * 7
r² = 175/7
r² = 25
r = √25
r = 5
d = 2r
d = 2 * 5
d = 10
The pattern is:
( a - b )² = a² - 2 a b + b² ( square of last term of binomial - the missing term)
x² - 2 · 8 · x + 8² = x² - 16 x + 64 = ( x - 8 )²
The missing term is: 64
28% of 942 = 263.76
942 - 263.76
= $678.24
