Maximum height is at dH/dt=0
H= -16T^2+80T+5
dH/dt=-32T+80
-32T+80=0
32T=80
T=2.5s when height is max
Hmax=-16(2.5)^2+80*2.5)+5
=105ft
catching the ball at 5' means solve for T at H=5
H= -16T^2+80T+5=5
-16T^2+80T=0
-16T(T-5)=0
so T=0 cannot be the ans or T=5s
Answer:
Equilateral
Step-by-step explanation:
Since all sides are the same, the triangle is equilateral.
Answer:
1 2/1 ÷1 1/2 = 2
Step-by-step explanation:
dividend ÷ divisor = quotient
1 2/1 ÷1 1/2 = 2
In order to solve this you need to make the mixed numbers into an improper fraction:
3/1 ÷ 3/2
use the KFC method (Keep Change Flip)
When you got to fractions you wanna divide flip the right and multiply
3/1 (2/3)= 2
maple syrup = x
corn syrup = 50-x
6x + 0.8(50-x)=2.36*50
6x+40-0.8x=118
5,2x=78
x= 15 gallons of maple syrup
50-15 = 35 gallons of corn syrup
Answer: (D) <em>bottom right graph</em>
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: f(x) = a(x - h)² + k, where
- (h, k) is the vertex
- |a| is the vertical stretch
- sign of "a" determines the direction of the parabola
Given g(x) = (x - 3)² - 5
- vertex (h, k) = (3, -5)
- vertical stretch |a| = 1
- sign of "a" is positive so parabola points up
The only graph that satisfies all of these conditions is the bottom right.
